diff --git "a/data/dm_maths/full_data_2/10164_11255.jsonl" "b/data/dm_maths/full_data_2/10164_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10164_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 0.4758 + -0.0758. Sort 1\/8, -13, -5, u in decreasing order.\nAnswer: u, 1\/8, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dbd - -2?\nAnswer: 2dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 3*n)*(95*n**2 + 177*n**2 + 1907*n**2).\nAnswer: -2179*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 700 - -3368. What are the prime factors of i?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95760 divided by 38?\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + (-3)\/6. Let q be 2 + -2 - (-1 - 2). What is the units digit of q\/6*2 - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2172 and 31\/2715?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28763794349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/73))**(-43)\/(k\/k**(2\/7)*k*k**(1\/29)*k) assuming k is positive.\nAnswer: k**(-695409\/14819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3006, 7862, 14568, 23124?\n\"Answer: 925*l**2 + 2081*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b (base 13) to base 15.\nAnswer: -1e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mru when three letters picked without replacement from {u: 2, r: 2, m: 9}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {b: 2, g: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**3 - 803*y**2 + 809*y + 1607. Let n(m) = 10*m**3 - 802*m**2 + 808*m + 1606. Let i(l) = -2*g(l) + 3*n(l). Factor i(b).\nAnswer: -2*(b - 2)*(b + 1)*(b + 401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let b be g(1). Suppose b*j + 3 + 7 = 2*u, 5*u - 21 = 3*j. Suppose -10 = u*i - 31. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19998, -39996, -59992, -79986?\n\"Answer: g**2 - 20001*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 1. Let k be n(0). Which is bigger: -53\/129 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 71*s**2 - 4 + 36 - 74*s**2 in the form l + r*s**2 + d*s and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 7*x + 2. Let n be (-54)\/10 + (8\/(-5))\/(-4). Calculate a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 26 = 7*x + 4*j, -x - 3*j + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 116 = 3*y + 3*d, -111 = -y - 2*d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**5 - 7015*h**4 - 2706435*h**3 - 170599265*h**2 - 1758384880*h - 4860878400 = 0.\nAnswer: -664, -63, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-1145*t**3 + 291*t**3 + 2308*t**3)*(2*t + 0 + 0).\nAnswer: -2908*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*t + 6. Let s = -1 + 89. What is the greatest common factor of s and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/25*(2 - (2 + 1485))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.778 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5472\/(-1406))\/(-48))\/(-3).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppyppp. What is prob of picking 1 y and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbbiiibbiibbiii. What is prob of picking 1 i and 2 b?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1276 - 1196.7. Let i = 80 - o. Let h = i - 0.699981. What is h rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56058, -1\/92, 1\/5?\nAnswer: -56058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 232331?\nAnswer: 232331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 2. Let j be v(-7). Suppose 0 = -2*i - a - j, 3*i + 6 + 14 = -4*a. What is the closest to -0.1 in i, 4, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -19a48?\nAnswer: -19a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 3 + 6)*(-6*f + 5*f + 3*f)*(9 + f - 9) to the form m*f**2 + h + x*f and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13096, 13106, 13102, 13078, 13028, 12946, 12826, 12662?\n\"Answer: -y**3 - y**2 + 20*y + 13078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222110220200102012 - 10?\nAnswer: 222110220200102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-36))\/((-2)\/(-9)). Suppose 175 = 2*k + h*k. Suppose -5*o - k + 395 = 0. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**3 - 65265*b**2 - 1961325*b - 14718375 = 0?\nAnswer: -15, 13083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4861 - -4861.00003395. What is i rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(-1 + sqrt(17)))**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*((-400)\/70)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 588 + -546. Suppose -2*c + 3*q + 2 = 0, -36 + g = -2*c + 5*q. Solve -c*u - 24 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3034 is divided by 2900?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 15971 + 84589. Let a be (-600)\/((-3)\/(-24) - (-870)\/o). What is a rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5222, -2, 0 in decreasing order.\nAnswer: 5222, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20)*(-3)\/3)\/(72\/144).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13289, 26550, 39801, 53036, 66249, 79434, 92585?\n\"Answer: -h**3 + h**2 + 13265*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.103589\nAnswer: -0.414356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1053)*-1 - (sqrt(13) - (sqrt(13)*1)**2*-3)).\nAnswer: -40 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34266?\nAnswer: 2, 3, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31475317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 - 54365*o**2 + 11968805*o - 81116035 = 0. What is o?\nAnswer: -11089, 7, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 + 811476\/228 - 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3 - 33*n**2*y + 36*y + 8 wrt n.\nAnswer: 12*n**2 - 66*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 299104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (-2*(-2*sqrt(170) + sqrt(170)) + -3*(-2*sqrt(170) + sqrt(170)))\/(-1*(sqrt(490) + 2*sqrt(490))))**2.\nAnswer: -80*sqrt(17)\/21 + 28649\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y**2 - 39*y + 33. What is the tens digit of h(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -995, -1005, -1017, -1031, -1047, -1065, -1085?\n\"Answer: -c**2 - 7*c - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819, 15709, 53409, 126823, 247855, 428409, 680389?\nAnswer: 1015699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 11*w - 175 - 117. Solve -17 = -2*q + 3*q + w*c, 16 = -4*q - 3*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 26*z - 245 = 22 + 52 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18.77 - 793311\nAnswer: -793329.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 204 + 228. What is the greatest common divisor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 342, 10\/9, -2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-5\/7))**(-34))**48 assuming o is positive.\nAnswer: o**(-19584\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542742 divided by 12?\nAnswer: 3771371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-208) - (-6)\/(-39). Solve 4*s + 2*s = m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -162, -231, -284, -315, -318?\n\"Answer: s**3 - s**2 - 83*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = 0, -q = 5*g - 3. Let p be (-332)\/498*((-18)\/(-16))\/q. What is the closest to p in -0.1, 27, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(85)*-1 + sqrt(85) - -6*sqrt(85)*2)\/(-2*(sqrt(240) + sqrt(240)*1)\/sqrt(12)))**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + -1.06. Suppose 8 = b - 0*b + 3*q, b + 2*q = 6. Let k be b - 1 - (-2)\/4. What is the nearest to j in 0.3, -3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -40*m**4 - 2*m**2 - 45. Let q(u) = -u**4 - u**2. Let a(o) = 2*q(o) - w(o). Differentiate a(j) wrt j.\nAnswer: 152*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 601 + -391. Let i = 209.21 - w. Round i to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**2 + 241*v**2 + 241*v**2 + 100*v**2.\nAnswer: 553*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sin when three letters picked without replacement from rgniysgs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-5) - 2\/(-10). Let b(h) = h**3 - 8*h**2 - 9*h + 6. Let r be b(a). What is the highest common divisor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -25\/3 + 10\/3*o - 1\/3*o**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17902.\nAnswer: 2, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5471, -1, -505, -2 in decreasing order.\nAnswer: -1, -2, -505, -5471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/329272 and 63\/3160.\nAnswer: 1646360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 101.4, 0.5, -28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -11, -34 in increasing order.\nAnswer: -34, -12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*f - 28, 3*g - 10 = 2*f + 10. Suppose g = 4*l - 3*l. Suppose 0*i = l*i - 44. What is the greatest common factor of 77 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - 203 - 22*z + 91 - 3*z**2 as a*z + g*z**2 + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 16*x**2 + 15*x + 3. Let s be n(15). Let m be (-88)\/8*(2 - s). Suppose -m = -6*c + 7. Solve 5*t + 2 = 5*v - 3, c*v - 5*t - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**4 - 53*i*n**2 + 3*n**2 + 32*n wrt i?\nAnswer: 12*i**3 - 53*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:30 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 30. List the prime factors of g(-13).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p. Let y(o) = -88*o**2 - 168*o**2 + 79*o**2. Determine y(a(k)).\nAnswer: -21417*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-1) - -1)*(-27)\/12. Let v(h) = -1455515*h - 365. Let z be v(m). What is z rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9361*y**3 - y - 2. Let k be (-1 - -2)\/(5 - (7 - 3)). Suppose n + k = -5*g, -3*g = -n + 3*n - 5. Let p be z(g). Round p to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -22, -51, -82, -115, -150?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**2 - 14*a + 38?\nAnswer: 10*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -266*q**3 + 77*q**2 - 77*q + 77. Let a(x) = -7*x**3 + 2*x**2 - 2*x + 2. Determine -77*a(y) + 2*u(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109950 is divided by 509.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = -l, 15 = 4*l + 4*r - 1. Let c be 2 - (-1 - (0 - -1)). Suppose p = c*z - 3*p - 64, l*p = -3*z + 24. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111722800 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/10 - 3*c**5\/20 + c**4\/4 + c**3\/2 - 13*c. Suppose s(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3371.\nAnswer: -2\/3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Let c = -261450.7 + 261451. What is the nearest to -2\/5 in q, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3 - -4)\/(-1). Solve -4*f - 4*c - 12 = w, -c + 15 = -5*f - 3*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q**12)\/(q**8*q**(-5\/4)) assuming q is positive.\nAnswer: q**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 180707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 1\/7, -9\/4, -6884\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2734, -5466, -8198?\n\"Answer: -2732*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3082 is divided by 776?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6784981 centuries in decades?\nAnswer: 6.784981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186462284 a multiple of 1286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5516769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (1 + -4*sqrt(130)\/sqrt(10) - (5*(2 + sqrt(13)) + (sqrt(52)*2)**2))).\nAnswer: -642 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 3085144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svss when four letters picked without replacement from sssvsssvssvsssvsvss?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 1. Let m be h(2). Suppose 0 = -m*n + 20, 4*n - 166 = 4*f - 7*f. Let q = -46 + f. Solve 3*v + q*i - 31 = -i, 14 = 2*v + 2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j - 9*j**2 + 42*j - 19*j as l*j**2 + r*j + x and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = 30. Let c be 1\/z - 91\/(-42). Let l be 252\/(-48) + (-9)\/(-4) + -2. Sort 3, 1, c, l in decreasing order.\nAnswer: 3, c, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -29853481.\nAnswer: 8\/29853481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 39. Is j less than or equal to 1\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8590 - 0)\/((-51)\/(-9) - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*s - 497 = 129, 1264 = 4*u + 4*s. Solve 7*a = u - 301 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.52556232.\nAnswer: -0.157668696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37350 by -830.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k**2 + k)*(7*k**3 - 26*k**3 - 8*k**3)*(-6 - 3 + 2)*(-1 - 1 - 1).\nAnswer: -567*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(3 + -4)*(-96)\/9. Let a = y - 48. Let n be (-1 + 0)*-1*3. Solve -4*z = -a, -6*v - 4*z = -n*v - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -1?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -20, -34, -50, -68?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 16*p**7\/7 + 5*p**6\/3 + p**4 + 1301*p**3\/3 + 5214. What is the third derivative of r(u) wrt u?\nAnswer: 1920*u**3 + 600*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 6 + 11. Solve 0 = k - a*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*j**4 + 3*j**3*q - 10*q + 1 wrt j.\nAnswer: -120*j**3 + 9*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2020*d**2 + 985*d**2 + 26 + 1034*d**2 - 115*d**4 + (d - 1 + 1)*(-1 + 1 - d**3).\nAnswer: -116*d**4 - d**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2370, 18618, 62446, 147558, 287658, 496450, 787638, 1174926?\n\"Answer: 2284*q**3 + 86*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1\/209, 1, -2274?\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)*r)\/((r\/r**(-6))\/r))**(-6\/5) assuming r is positive.\nAnswer: r**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from pzltttpptlppl?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53312 and 952?\nAnswer: 53312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40637\/6 - 6773. What is the smallest value in b, -2, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67741734289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 12 - 8. Let k(a) = -a**3 - 3*a**2 + 3*a + 1. Let l be k(i). Suppose 569 = l*c - 26. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:50 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 9 = 4*b - 12, q = 2*b - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1641789 and -6567155\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from ffnymfmmxxffxfz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/25 in 0.3, -0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-16)\/6)*(-12)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 2*c**2 - 192.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i + 3. Calculate s(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25208233 divided by 26.\nAnswer: -25208233\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 5 (b) -0.1 (c) 109 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7777352 milliseconds in microseconds?\nAnswer: 777.7352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 18125*s - 217645. Calculate x(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 18*p = -21. Let a be 2\/(-6) + 31\/75. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 - 8*j - 10. Let g = 2413 + -2416. Give u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205.52039 to 1 decimal place.\nAnswer: 205.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -2. Let b(g) = -g**3 + g**2 + 2*g - 2. Let a be b(w). Let x(i) = -i**2 + 6*i. Let f be x(a). What is the nearest to f in -0.1, -4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13803 + 13806. Solve 0 = 5*a - 13 + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 41. Suppose l - 6*l = -m. Suppose 5*i - 85 = -5*g, -5*g = -l*i - 7 + 34. Solve -i = 3*k - b + 2*b, -5*b = -4*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 4, 47, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + 38 + -34?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 3*j**2 - 17456*j - 17541*j + 35410*j to b*j**3 + n*j**2 + h + v*j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 9, 5, 25, 1, 4 in ascending order.\nAnswer: -73, 1, 4, 5, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 187*c**3\/6 + 9*c**2\/2 + 12*c. Let o be j(-1). Let a = -100 - o. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2. Let s(g) = -g + 3. Let j(i) = -2*s(i) - 3*u(i). Let o(z) = z**2 + 6*z**2 - 4*z**2. Determine o(j(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721787 is divided by 2268.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(624\/18))\/((-6)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(4\/40)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*k - 6*k = 13, p = -k - 4. What is the smallest common multiple of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 121*r - 2068 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1628.553 + -1632. Let x = 0.553 - f. Sort -3, 3, x in increasing order.\nAnswer: -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*b - 18 + 85 + 298*b wrt b.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 283, 284, 285, 286?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1387 - 3.\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 24932 = 7*b - 9*b, -2*u + 49856 = 4*b. Suppose -b = -11*k - 220. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q - 72 = 5*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 - 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*d + 73266 = -363*d - 52509 for d.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c + 8. Let k(g) = 9*g - 8. Let l(n) = -5*a(n) - 6*k(n). Determine l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c - c**2 + (7*c + 2*c + 3*c)*(-4 + 2 - 1)*(-3*c + 0 + 0).\nAnswer: 107*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 9*l\/7 + 1.\nAnswer: (l - 1)*(2*l - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x - 4. Suppose 4*l = -3*q - 7, l + 0*l = -q - 1. What is the remainder when v(-4) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 6) to base 11\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107604305 to the power of 1\/2, to the nearest integer?\nAnswer: 45909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1042985802 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76115107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 926 times -54344\nAnswer: -50322544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 + 27*o**2 - 17*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*b - 208 = 935*b + 1052 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 k when three letters picked without replacement from {r: 1, y: 2, j: 9, k: 3, m: 3, p: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 305 = -2*h. Let n = 65 + h. Suppose -g = -2*p - 2, -n*p + 18 = 3*g - 6*p. What is the smallest common multiple of g and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*g**4 - 574 - g - 147 + 3*g - 827*g**4 wrt g.\nAnswer: -15564*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7418 - -8546. What is the least common multiple of 1034 and b?\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10654873 + -10654850.499946. Let a = 22.5 - z. What is a rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:30 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3429, -52, 2, 0.4, 0.1, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x - 342 = 0. What is the common denominator of (-5)\/3*x\/12 and 67\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*2 + sqrt(36)*6)\/(sqrt(54)\/sqrt(3) - sqrt(18) - (sqrt(162)*-1 - sqrt(2) - sqrt(2))).\nAnswer: 28*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**3 + 13*p**2 - 31*p. Let x(q) = 2*q**3 - 6*q**2 + 16*q. Determine -3*i(v) - 7*x(v).\nAnswer: -2*v**3 + 3*v**2 - 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49390 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*p - 427 = -124, -3*k - p = -497. Suppose -18*t + 524 = -214. What is the highest common divisor of t and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + s**2 - 6*s + 3. Let h be m(-3). Suppose -2*z = 0, 0 = -5*p + 2*p - 5*z - h. Let o = -23 - p. Solve o = 2*k - 4*t, -k = 2*t + 3*t + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.33128 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 279821777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10439355 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 20*j + 104. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-16)))\/n)\/(n*n**21\/n*n)*(n\/(n*n*n**(16\/3)))\/n**(2\/21))**(16\/7) assuming n is positive.\nAnswer: n**(-1504\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + 3*t)*(-73*t - 61*t - 191*t + 4*t - 3*t - 3*t + t + t - 3*t + (2*t + 0 + 0)*(0 + 4 - 3)).\nAnswer: 326*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 13) to base 14\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -433*l**7\/105 - 199*l**4\/24 + 197*l**2 + 2*l. What is the second derivative of h(z) wrt z?\nAnswer: -10392*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 307*h - 9 + 240*h.\nAnswer: -67*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)*a**(-8)*a*a**5*a**(3\/2))\/(a**7*a**0*a**(-4)*a*a**(-1\/2)) assuming a is positive.\nAnswer: a**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*u + 27 = 0, -17*j + 16*j + 2*u + 12 = 0. Solve 25 = 5*h, -j*i - 2*h = 3*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 6*f**2 - 33*f**3 + 45*f**3 + 0*f + 0*f.\nAnswer: 12*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384868, 384786, 384704, 384622?\nAnswer: 384540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6253 - 6252.97211. Round z to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*g + 43 - 252, -g + 184 = 4*o. Solve 0 = -o*t + 88*t - 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 0*g - 2*g)*(-1 - 3 - 2) as q*g + c and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 5. Suppose 4 - 19 = -c*w. Suppose -3*v - 2*v + 55 = -f, -4*v - w*f + 63 = 0. Calculate the remainder when 22 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 55.2. Let v = 43.2 - x. Let y = -0.5 + 1.5. Which is the closest to y? (a) 4 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36) + (-10773)\/(-972).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**2 + 16*g**3 - 10 - 17*g**3 + 2 - 8*g. Let p be f(-8). Which is smaller: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -7.1.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*38*2\/(-4). Suppose -2*w - y = -5*a, -5*a + 8*a - 46 = w. Let m = 53 - 37. Calculate the highest common divisor of a and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*a**3 + 860*a**2 - 5288*a + 1440 = 0. What is a?\nAnswer: -36, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-83 - (77 - 151))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026530223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, 1515\/26, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/(3\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6587.985333 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**2. Let c(g) = -19906*g**2. What is d(c(r))?\nAnswer: -5943732540*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 10*j**3\/3 - j. Let q(y) be the third derivative of -y**5\/12 - 3*y**2 - 1554. What is b(q(n))?\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - (-253)\/55. What is the remainder when 92 is divided by -2 + 48 - 1\/(j\/(-5))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12997488 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-6 + 10 - 2504))*(-112)\/3. Round w to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518778150?\nAnswer: 2, 3, 5, 11, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.0472?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*q - 428*q - 129*q - 1425*q - 64*q.\nAnswer: -2194*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-1)\/(9\/7) - (-30 - -27)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -452*g**3*v + 853*g**3 wrt v?\nAnswer: -452*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2028755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -603 + 1056. Suppose 60 = -3*p + g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.056136 minus 5?\nAnswer: -155.056136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -14 + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 141396 + 5?\nAnswer: 14139b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 11 (c) -8\/5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -2) + 94046\/(-12). Let y = -7816 - h. Calculate the common denominator of y and 47\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 4*x + 0*x)*(3*x - x + 0*x) + (2 - 2 - x + (-1 + 2 + 1)*(-2*x - x + 5*x))*(-3*x + 2*x + 2*x) in the form a*x + i*x**2 + q and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, e: 2}. Give prob of sequence se.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:19 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tveeeeetv. Give prob of sequence tvv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 2*n. Suppose -2 - 3*t + n*t + 2*t**2 + 4 + 0 = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/708 and -73\/14160.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4208.666 years?\nAnswer: 42.08666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 3. Let u be f(-4). Let t = 20.308 + -17.308. Which is the fourth smallest value? (a) -0.03 (b) u (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/4 - (4 - 1))\/((-406)\/174)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*k = 166 - 30, 4*s = 5*k + 101. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 < 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 245 - 53 = 0. Let d = 223 + -345. Let q = d + i. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -3 + -1 + sqrt(448) + sqrt(448))**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 19 = 3*o, 53*o - 5*m - 14 = 59*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2335.\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5061 is divided by 130.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643820 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*f + 6*f - 2063, 4*x = -2*f + 1654. Let o = 539 + x. List the prime factors of o.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(5\/8)*(n**(2\/7))**(-14)*(n**(2\/17)\/n*n**(-2\/5)\/n*n)\/(n\/(n\/((n*n*n**(2\/9))\/n)))**(3\/14) assuming n is positive.\nAnswer: n**(-30661\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 235079.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*h - 5*d + 4, 3*h + 39*d = -42*d + 312 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llye when four letters picked without replacement from yeyylylyyyyllyyly?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 21115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -55*y + 7698. Let n(g) = 111*g - 15265. Let i(c) = -6*n(c) - 11*t(c). What is the derivative of i(m) wrt m?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 + 0)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6583 - -6576. Let n(u) = 21*u + 6. Let z(p) = 21*p + 7. Determine l*n(s) + 6*z(s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32250 divided by -1075?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 2. Let z(w) = -w. Let i(k) = g(k) - 5*z(k). Let x be i(-4). Which is the nearest to -1? (a) 8 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (220\/(-20))\/(((-1)\/(-4))\/(-1))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 754.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 18. Suppose 0 = 3*f - q*f. Let x be f\/(0 + -1*2). Solve 3*g = -x + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -125.\nAnswer: -124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*x**3 + 28*g**3*x**2 + 10*g**2*x**4 + g*x**2 - x**2 wrt x?\nAnswer: 12*g**3 + 240*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69344830 and 86862?\nAnswer: 208034490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 + 262228*m\/13 - 8595440498\/13.\nAnswer: -2*(m - 65557)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 4, b: 1, j: 3}. Give prob of picking 2 l and 1 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/8397 and 33\/10?\nAnswer: 83970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = a + 14. What is the lowest common multiple of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 6*y - 183 = 3*y. Calculate the remainder when 4\/(-12) - y\/(-3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 65, -5\/2, -16, 6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1\/12 + (2163\/12 - 3). Let t = 69 - 38. Suppose -8*n = -u - t. What is the highest common factor of n and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i - 3 + 2 + 18*i + 14*i in the form y*i + w and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*c + 13 = 204*c + 5*t, -3*c - 6 = -3*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0, 0.3, 9\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247754 by 9529.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:13 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 10*l - 19. Let j be m(-2). Let p be ((-44)\/6 + 0)*j. Solve b + 2*h = -3 - 4, 4*b + 5*h = -p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (76\/20)\/(4\/260). Let c = m + -241. Let p be 3\/(9\/6)*1. Calculate the greatest common divisor of c and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let j be (-1 - 2) + 3 + 7. Let h be u(j). Suppose 0 = h*p - y - 160, -y + 0*y = -p + 37. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147822 - -1028239. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-21 + 39 + (-19 - -14))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/4 + 16*m**3\/3 + 3*m**2 + 84*m - 1140. Calculate p(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88, 335, 988, 2257, 4352?\n\"Answer: 35*v**3 - 7*v**2 + 23*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*w + 71*w - 5673. Which is the second smallest value? (a) 5 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 56. Is (114\/u)\/((-93)\/1240) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b28ab (base 13) to base 3\nAnswer: 2200211222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18378175 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 593*l**4 - 1647*l**3 + l**2 - 29694613 wrt l.\nAnswer: 2372*l**3 - 4941*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v. Let t(l) = 2*l. Let m(j) = 6*d(j) + 14*t(j). Let i(k) = 2*k**2 - k**2 + 2*k**2. Calculate i(m(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1975*x + 54. Does 14 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + g + 10 = 0, 3*y = 3*g - 5*g + 6. Let x(s) = y*s - 2*s + 0*s + 4*s. Suppose 0 = -4*b - 2*r - 12, -5*r = 4*b + 14 + 10. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**4 + 2*f**3 + 5*f - 2. Let n(w) = 29*w**4 - 5*w**3 - 10*w + 5. Let p(g) = -5*b(g) - 2*n(g). What is the second derivative of p(y) wrt y?\nAnswer: 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*a + 27195 = -78*a + 464*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169093121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -666*a**3 - 2*a**2 - 31*a - 29. Determine r(-1).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 19 = 44. Suppose -10 = -w*n + 10. Calculate the highest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 34.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173202173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, g: 1, t: 5, y: 6}. Give prob of sequence kyy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 3*m + 1. Calculate s(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505788 or -505775?\nAnswer: -505788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(u**2 - 2*u**2 + 3*u**2) + 411*u**2 - 18 + 18 in the form b*u**2 + l + g*u and give b.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 + 1\/(-2)). Let q(t) = 11*t - 32. Let s(r) = r - 3. Let p(z) = -q(z) - 2*s(z). Let h be p(3). Which is the nearest to h? (a) k (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*r**3 + r**3 - 2)*(-11*r**2 - 156*r**2 - 6*r**2).\nAnswer: 173*r**5 - 346*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y + 2. Calculate r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 1352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2241 in 2, -3\/4, -3\/7, -0.5, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -592, -2150, -5268, -10486, -18344, -29382, -44140?\nAnswer: -63158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1370856, -1370917, -1370978, -1371039?\n\"Answer: -61*p - 1370795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 34. What is the remainder when 109 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**6 + 0*h**7 + 0*h**2 + 0 + 6*h - 5\/56*h**8 + 0*h**3 - 13\/12*h**4 + 0*h**5. Find the third derivative of o(c) wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134695371, -134695370, -134695369, -134695368, -134695367?\n\"Answer: b - 134695372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*k**2*m**3 + 35768*k**2 + k*m**3 + 2*k*m**2 + 2737*m**3 - 8*m**2 wrt m.\nAnswer: 318*k**2 + 6*k + 16422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -10 - 11. Let a = 13 - 9. Solve p*v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhoh when four letters picked without replacement from {h: 3, o: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2286?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -14758 + 702. Let t = j + -9050\/9. Calculate the common denominator of t and -44\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 487 - 491. Suppose 2*r - o = -6, -5*r + 11 = 3*o + 37. Which is the closest to j? (a) r (b) 0.1 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -13) + (-7 - 5) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 - y**4 + 2*y**4 - 4*y**4 + 5*y**4 + y**4 + (0 + 0 + 2*y**3)*(-3*y + 0*y + y) - 2*y**2 - y**4 + 2*y**2 - 4*y**4 + 11*y**4 + 4*y**4.\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 - 433*r**2 - 683*r - 151. Determine w(-85).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -43*v - 668 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126634 * -0.2.\nAnswer: 25326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195.1 + 195. Let h = -0.02 - -0.32. Which is the closest to u? (a) h (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12232341 and 787?\nAnswer: 12232341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 + v + 4)*(0*v + 4*v - 2*v).\nAnswer: -2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from mlqqobvb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -40422422?\nAnswer: -40422414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -6*u + 903. Let q = -95 + u. Calculate the remainder when 61 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 6, c: 3, p: 1, k: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3429.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 734511632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*t + 251\/4 + 1\/4*t**2.\nAnswer: (t - 251)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157560 a multiple of 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 18*q - 14. Let s be (15\/2 + 1)*2. Let z be u(s). Let y be z\/1 - (-6)\/3. Solve -4*n + y*n = 4*w - 25, -3*n = -3*w + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(((f*f*f\/(f**(-1\/3)\/f)*f)\/f)\/f))\/f*f)**(-47))**5*(f**(-2\/7)*f)**(-30)*f**(4\/11)\/f*((f*f**4)\/f)\/f assuming f is positive.\nAnswer: f**(67976\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199911 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 840.7632l?\nAnswer: 840763.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, y: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4848\/5656*2\/(-18).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1639*h - 450. Let i(c) = 29*c + 1. Determine i(x(t)).\nAnswer: 47531*t - 13049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50851 (base 11) to base 13.\nAnswer: 27a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = 2*q - 2*m, -2*m + 1445 = 3*q - 4*m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1795787 * -20.\nAnswer: 35915740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 72 + 116 + 37 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/12 - 2*u**3\/3 + 5*u**2\/2 + u. Let j be f(-5). Calculate the remainder when j + -3 + (2 - -21) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50739 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1855784 and 132556?\nAnswer: 1855784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (8 - 64)) + (29 - 23).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 165 - 170. Do 11\/38 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.031, -4, -0.49, 5\/8, -5, -1\/2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:14 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 203\/(-87)*(-3)\/42\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4*6\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -10)\/(-3)*-3. Let p(g) = g**3 + 8*g**2 - 8*g + 10. Let v be p(h). Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*g - 6, 0 = -3*k + 2*g - 6*g + 8. Let d(s) be the first derivative of 1\/3*s**3 + 0*s + k*s**2 - 1. Let i(a) = 3*a**2 - 2. What is -2*d(z) + i(z)?\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 17110.1482.\nAnswer: 17110.2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2\/7 (b) 5 (c) 1.284 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1173535 + 116?\nAnswer: -1173417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-12 - 3) + (25 - 41))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpghpgphpgp. What is prob of sequence pppg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2000 times 0.5\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**3 - 150*g**2 + 294*g - 38. Determine y(11).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -177. What is the remainder when 303 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1304 - 255. Suppose -351 = -10*u + y. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 337186, 674372, 1011558, 1348744, 1685930?\n\"Answer: 337186*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 + (1672\/(-77) - 5). What is the third smallest value in -3, -7.9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 234210 = -46*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 926699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (1 + -23 - 0). Suppose 3*y + 3*j = -4 + 13, 3*y = 4*j + 9. What is the highest common divisor of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 4. Let o be t(-4). Let s = 7 - o. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*w + 29*w + 9384. Calculate the greatest common factor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -67\/11, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + -1*sqrt(4)\/sqrt(2) + -2*sqrt(2) + 1 + (-1 + sqrt(2) + 3 + -1)**2.\nAnswer: -sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Suppose -4*c = -g - 7. Suppose 69 = -c*t + 7*t - o, 2*t - 2*o - 42 = 0. Solve -2*v = -6*v + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.12 - -2.32. Let g be (45\/21 - 2) + -1. What is the closest to -7 in g, h, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v + 40. Let f be i(3). What is the remainder when 57 is divided by (-230)\/(-23) + 1 + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -13, 5.\nAnswer: -13, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/3 + -1 + (-10)\/(-15). Find the common denominator of (-15)\/((-7575)\/410) - 2\/h and 113\/6.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59290752121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - p + 11, -31*n + 35*n - 16 = -p. Let y be 4 + (10 - -743) - (n + -2). Calculate the highest common divisor of y and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 15*b**3 - 11\/2*b**6 - 5\/6*b**7 - 20*b**2 + 0 + 205\/12*b**4 - 11\/4*b**5 - 9*b. Suppose a(m) = 0. Calculate m.\nAnswer: -4, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/((-1917)\/81 - -20) - 29\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -7.3, 0, 3\/14, 0.4, 29?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/3 - 10\/(-30) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -225 and -178 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 79 + 24 = 0. Let z = 272\/5 + p. Let g = -2188 - -2186. Which is the smallest value? (a) 1\/3 (b) 1\/4 (c) z (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -102. Solve g = -3*i - i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*h = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 275.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 5*v - 8 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 0) + (-50)\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -4 + -1 + 5. Suppose a*p + 12 = 0, -2*p + 42 + 43 = w. What is the greatest common divisor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 4. Let a(s) = -12*s**2 + 7. Let g(t) = -t**2 - 8*t + 5. Let m be g(-8). Let z(f) = m*b(f) + 3*a(f). Calculate z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*k + 3. Factor -3\/4*g**2 + 3\/4*g**4 + 3\/4*g**3 - 3\/4*g + k.\nAnswer: 3*g*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 + 12*w**2 + 3*w - 13. Let t be i(4). Which is greater: -33\/14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14809 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198867*o**2 - 4 - 198582*o**2 + 6.\nAnswer: 285*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1\/36*m**4 + 0 + 0*m + 1\/27*m**3 - 3*m**2 + 1\/135*m**5 - 1\/315*m**7 - 1\/1512*m**8 - 1\/270*m**6. Solve r(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601216 + -2440.\nAnswer: 598776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18876025 by 3775205.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 11. Let f(s) = -2. Give -2*f(m) - n(m).\nAnswer: -m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d. Let u be p(0). Let i(k) = -4*k - 8. Let a(f) = -7*f - 15. Let j(s) = -3*a(s) + 5*i(s). What is the units digit of j(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/2 + 549*x**3\/2 - 11427*x**2 + 32382*x - 21228 = 0. What is x?\nAnswer: 1, 2, 58, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 7}. What is prob of picking 1 w and 1 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11276 + -78934\/7. Sort -2\/39, 1\/3, 1, 2\/3, i.\nAnswer: i, -2\/39, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*y**4 + 2*y**3 + 556*y**2 wrt y?\nAnswer: 1032*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 33*t - 121 = -34*t, 0 = -c + 4*t + 20. Calculate the lowest common multiple of (-4)\/(-22) + 922\/11 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663884 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 580*l**2 - 335*l**2.\nAnswer: 245*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 33*d**2 + d - 18. Let j be i(-5). Let q = j + -49. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 90*z - 12. Let u be y(6). Let w = u - -607. Suppose -2*t + t + g = -1155, t + 4*g = w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*u - 5. Let w be ((-4)\/u)\/(1\/5). Solve 4*o + 5*c = -6 - 3, 3*o = -w*c - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 968911 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 3. Let i be f(2). Let w(d) be the first derivative of -1\/12*d**6 + 1\/10*d**i + 0*d**2 + 1\/8*d**4 - 1 - 1\/6*d**3 + 0*d. What is t in w(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141114104130 + -11?\nAnswer: 141114104114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-98) - (-52 + 5 + 2624\/56)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.64847 and 61.\nAnswer: 91.64847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 583*c**3 + 574*c**3 + 7*c**2 + c**4 + 6 - 2 to r*c + o + a*c**2 + z*c**3 + d*c**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 68.38069 micrometers in kilometers?\nAnswer: 0.00000006838069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58077, -116138, -174183, -232206, -290201, -348162, -406083, -463958?\n\"Answer: o**3 + 2*o**2 - 58074*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-531*v - 714*v - 932*v)*(-4*v + 2*v + 3*v).\nAnswer: -2177*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.46, 0.1, -9\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -2*o. Let m be (o + (-10)\/(-4))*-2. Suppose -1 = -3*f - 16, 0 = 4*t + m*f + 15. Solve t = 5*r + 3*h + 22, -2*r - 3*h - 2 = -7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16730100 divided by -10.\nAnswer: 1673010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 - 2520*z + 21865. Give p(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628 = -4*i - 5*d, i + d = 3*i + 328. Let v = -92 - i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -6. Suppose 31 = 2*v - l. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -1\/6*r**3 + 0*r - 1\/12*r**4 - 2*r**2 + 0. Find the first derivative of o(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2267 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.5181 and -0.3?\nAnswer: 1.35543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 10*w. Let a(i) be the second derivative of -1\/6*i**4 + 0*i**3 + 10*i + 0*i**2 + 7. Give b(a(d)).\nAnswer: -4*d**4 - 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c - 120. Let d be 4\/c + 2\/(-3). Let i = 3.556 + -3.456. What is the nearest to 2\/5 in -4\/7, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 6*a**3 - 7*a**3)*(2*a**2 - 6*a**2 + 2*a**2) + 3*a**5 - 3*a**3 + 3*a**3.\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 117. Let p = -80 + 99. Calculate the remainder when j is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 49*k - 22*k - 13*k - 12*k.\nAnswer: 2*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2974560 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -6, -9, -4, 15?\n\"Answer: x**3 - 5*x**2 + 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81159961833 and -143?\nAnswer: 81159961976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 12*h + 1062. Let b be p(-27). Solve 0 = 3*z + 3*j, 4*z - b*j + 5*j + 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s + 3. Let j(q) = 1. Give 4*j(v) + w(v).\nAnswer: -17*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:06 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/5 + 21*b**4 + 3414*b**3\/5 + 6384*b**2\/5 = 0.\nAnswer: -19, -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 1, 0.4, 5, 0.2 in decreasing order.\nAnswer: 5, 1, 6\/7, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19576 divided by -46\nAnswer: -9788\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1095 + -1089. Let v be 0\/((1 - 3) + 1). Suppose v = -f + 5*p + 7, -2*f + p + 14 = -p. Are f and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15672 and 13880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4 - -6049)\/(-5))\/(60\/(-140)).\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 129067, -1, 7, -4 in decreasing order.\nAnswer: 129067, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107224 (base 8) to base 11.\nAnswer: 25472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*(-15)\/(-18))\/(1\/(-4)))\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.4, -0.1, -2\/3, 2\/244217?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -16. Are q and 5\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 284, 240, 188?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {v: 5, m: 1, e: 9, o: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z + 2*z**3 - 5*z**3 + 4*z**3 + 4*z**2 - 3. Let u be f(-5). Let w = u + 0. Put w, -4, 5 in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/120 + b**4\/8 - b**3\/6 - 2*b**2. Let q(m) be the first derivative of r(m). Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -375*i - 45. Does 18 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 94 - 24. Suppose 0 = 11*b - l*b - 372. Let n = b + -88. What is the smallest common multiple of 46 and n?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535559.5 millilitres to litres.\nAnswer: 535.5595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/21)\/((-4)\/14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1116 = -4*s, -795 = -3*s - 3*z + 7*z. Calculate the least common multiple of 13 and s.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/6*(135780\/124)\/(-73).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 2, -0.3, -124.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 49 = -3*l - 2*q, -5*l = 3*q - 78. Suppose 82*o - 837 = 51*o. What is the remainder when o is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -757.\nAnswer: -4\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39741588881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in 2\/11, 2\/31, 177, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*c + 5*q - 10, 0 = -5*c - 4*q + 6. Let l be 0 + c*(-21)\/6. Suppose -l*d - 117 = -10*d. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/240 - t**5\/80 - t**3\/2 + 5*t**2. Let g(v) be the first derivative of b(v). Determine m so that g(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.86 - -16.955541.\nAnswer: 15.095541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.613 + -0.274. Let z = -0.045 + 0.247. Let g = l - z. What is g rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423616849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7564, -15127, -22690, -30253, -37816, -45379?\nAnswer: -52942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509954274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q + 129 + 156 = -117. Let z = 12 - 7. Let d(l) = 2*l - 1. Let r(g) = 2*g - 2. Determine q*d(k) + z*r(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 2*r - 20. Let j = -6437 - -6441. Calculate b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4607 = -3*t, p + t - 819 = 100. Calculate the lowest common multiple of 15 and p.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140411.235 rounded to the nearest one hundred?\nAnswer: 140400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 16}. What is prob of picking 1 d and 2 u?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 8 + -2 + -185 + 128.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -0.33, -0.5, -0.4?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.6 + 0.4. Let p = -8 + 8.088. Let d = p + -14.088. Put b, d, 0.5 in ascending order.\nAnswer: d, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -872*n**2 + 836*n wrt n.\nAnswer: -1744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/21*3546\/(-4728)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*p - 19*p - 6*p + 7*p**2 + p**2 + 16*p in the form w*p + s*p**2 + h and give w.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 + 31 = 0. Let s = d + -6. Let g be 8\/(-12) - (-28)\/6. What is the greatest common divisor of g and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a + 0*a**6 + 0*a**3 + 0*a**7 + 0 - 5\/168*a**8 + 11*a**2 + 0*a**5 - 41\/24*a**4. Find the second derivative of g(f) wrt f.\nAnswer: -200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/((-8)\/256)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28280*l**3*m*u**2 + 3*l**3*u**2 - 3*l - 9*u**2 - 15 with respect to m.\nAnswer: 28280*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from mvfmvmmmvmmvfm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j. Let s(r) = -r - 1. Let i(w) = -w**2 + 7*w + 7. Let q(p) = -6*i(p) - 42*s(p). Determine t(q(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18917, 75609, 170079, 302327?\nAnswer: 472353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 665544?\nAnswer: 4658808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 12 + -12 + (67 - 6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 - 4*r**2 - 133 + 5*r**2 - 135.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*z = -627*z - 714. Let g = 16 - -10. What is the remainder when z is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*d**3 - 1 + d - 1 to g*d**3 + z*d + x + b*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, h: 3, z: 1, b: 3, m: 1}. What is prob of picking 1 i, 1 m, 1 b, and 1 h?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from mmmmsmmmmmmmmmmmmsmm.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 134*l**2 + 15*l. Let t(f) = -192898*f + 192898*f + f**2. Give i(t(x)).\nAnswer: 134*x**4 + 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -q + g + 3, 3*g = -4*q + 8. Is q > 12\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095731314.\nAnswer: 2, 41, 73, 163, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*u + 86 = 50, 0 = m - 5*u - 34 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 18. Let u(r) = 167*r - 8515. Let m be u(51). Let i(l) be the third derivative of 0 + 16*l**m + 0*l + 0*l**3 + 1\/12*l**4. What is c(i(b))?\nAnswer: 8*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 3. Let b = -41457 + 41460. What is the remainder when c(-4) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a - 2. Let v be u(5). Let z be 1 - (v - (-2 - -24)). Suppose 4*b + z = 2*b. Are 1\/3 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 5 - 20)*(-2*v + 3 - 4 + 5*v) to the form x + m*v and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let o = -0.37 - 2.23. Let i = o - l. Which is the third biggest value? (a) i (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 51 = 29. Let m = -27 + 7. What is the least common multiple of (-2178)\/(-55) + (-8)\/m and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171\/188 + -5677\/5828. Which is smaller: -67 or z?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411*r**6 - r**4 - r**3 - 4*r**2 + 3832*r wrt r.\nAnswer: -49320*r**3 - 24*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011101 (base 2) to base 3.\nAnswer: 1201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36015)\/(-1400) - 25 - (-3)\/(-5)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503635 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -15 + 0 + -5 + -2 - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.5, -9, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -131. Let f = 18.28 - 0.28. Let l = -17.9 + f. What is the biggest value in 2, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**3 + 19\/5*p - 11\/5*p**2 - 9\/5.\nAnswer: (p - 9)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 4*o + 4. Let s be p(-4). Let z(a) = -s*a - 10*a - 2*a. Let y(g) = -g. Calculate y(z(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 + 3*i**5\/20 - 3*i**4\/8 + 2*i**3 + 2*i**2. What is the units digit of d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + g**2 - 3*g - 57*g**4 - 7*g**3 + 2*g - 2 + 58*g**4 to d*g**3 + x*g**2 + j*g + h + y*g**4 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0 + 3)\/(0 + -1). Let q be 637 + 3*(3 - a - 2). Suppose 50 = 6*u - q. List the prime factors of u.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 1896*p\/13 + 449352\/13.\nAnswer: 2*(p + 474)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*4*(-2)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*q - 56*q + 129*q**4 - 103*q - 27*q wrt q.\nAnswer: 1548*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*x - 2*x + 25, -2*l + 23 = -3*x. Calculate the remainder when (1\/((-8)\/(-30)))\/((-24)\/(-32)) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)**(1\/19))**(20\/11)\/((o**(1\/4))**35\/((o*o**(-2\/17)*o)\/o**(-2\/5))) assuming o is positive.\nAnswer: o**(-452791\/71060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5490770620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512224 divided by 1?\nAnswer: -1512224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d09 (base 14) in base 5?\nAnswer: -132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k)**(-2\/7)\/(k**13*k**7\/k) assuming k is positive.\nAnswer: k**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1129, -5, 3, -3 in descending order.\nAnswer: 3, -3, -5, -1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -4. What is the remainder when 38 is divided by (7 - j)*(1 - -19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 5:24 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 182, 291, 412, 545?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.1*44.\nAnswer: -532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194440048.99999943 + -194440029. Let u = g + -20. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1.7, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 10. Suppose -4 = 6*b + o. What are the prime factors of b\/(2\/(-8)) - (-246 + 5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/962)\/((-5)\/20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 63239754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83849941 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: Suppose 7*c = 3*c. Let s be c\/(-5)*2\/4. Solve -5*j + 4*j - 4 = s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151240263.\nAnswer: 599, 1921937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9 + -8)*66*5\/3255 and 1\/93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1617)*-1)\/sqrt(11)*-1 + -2 + -2.\nAnswer: -35*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241367213?\nAnswer: 43, 103, 54497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htjhuu. What is prob of picking 1 u, 1 h, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 8*r**2 - 5*r + 3. Let l be x(-7). Let k = l + 9. Let p = -0.1 + 0. What is the second biggest value in k, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose l*w - 6*w = -2*o - 24, -3*w - 3*o = -9. Suppose 0 = -2*n - 0*n, 0 = w*v - 4*n - 5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(252) + -4) - (2*sqrt(84) + sqrt(84) + sqrt(84))\/sqrt(12)) + -5 + (sqrt(63))**2 + sqrt(7) + (-1*sqrt(252) + sqrt(252))**2 + -3.\nAnswer: -8*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (41 - 20) - (30 + 1 + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1061*w**2 - w + 3. Let a be g(-3). Let q = -360142723\/18 - -20017491. Let f = q - a. Find the common denominator of f and 53\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 240*q + 3804. Give t(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/61*9*3609\/(-32481)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1839519 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5 + 15. Let u = f + -9. Let y(n) = -n + 1. What is y(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 121, -8, 4\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3876 times 1.4\nAnswer: 5426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1437*a**2 - 104*a + 54*a + 1440*a**2 + 51*a.\nAnswer: 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -125. What is the least common multiple of 45 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(304) - (sqrt(19) - (0 + sqrt(57)\/sqrt(3)))) + (sqrt(19) + (sqrt(19) + 2)*-6 - (sqrt(931) + -1)) + 2)**2.\nAnswer: 192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1086 - 1090.89. Let t = 5.1 + i. Let p = -0.22 + t. What is the second biggest value in -0.1, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-21)*(-19)\/760*8\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118783 + 116759.18. Let o = 1999 + c. Round o to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 630 - 1254 = 0. Calculate the greatest common divisor of x and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8642 divided by -298.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -12?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i*n**2 - 1868*i*n - 366*i - 1271865*n**2 wrt i?\nAnswer: -2*n**2 - 1868*n - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 316\/3920999 or 0?\nAnswer: 316\/3920999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/9 - 1498*l**2\/9 - 40012*l\/9 + 112832 = 0.\nAnswer: -41, 16, 774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581247066 is divided by 2969.\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 116*(-3)\/(-36). Let x = -59.2 - 13.8. What is the closest to -0.1 in -1, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 divided by 4?\nAnswer: -229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2199 minus -56340118?\nAnswer: 56337919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.9*35.\nAnswer: -416.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42736, -170931, -384582, -683689?\n\"Answer: -42728*t**2 - 11*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10609 - 5951 = -36*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-56)*-4*(-1)\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23852*u**5*v - 7494*u**3*v - 6955456*u + v wrt u?\nAnswer: 477040*u**3*v - 44964*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/40*720\/18900\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7101*o**3 + 3*o**2 - 20*o + 59?\nAnswer: -42606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9504 and 6774944.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105190*r**2 + 105179*r**2 - 210365*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2\/9, 5, 2, 2\/381 in decreasing order.\nAnswer: 5, 2, 2\/9, 1\/5, 2\/381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -33*o + 229 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**3 + 4*r**2 - 3*r. Let u be l(2). What is the remainder when u\/4 - 1\/2 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.489 (b) -1\/7 (c) -1 (d) 12 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(17375\/(-5785) - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0, 0.2, 64\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9\/2, -0.3, 3, 0.2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m - 1\/24*m**4 + 0 + 4*m**2 + 2*m**3. Let o be g(10). Solve -6 = 2*k - 3*k - u, o*k - 4*u - 6 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 0*n - 4*n + (-3 - 2 + 4)*(2*n - 5*n + n) + (-12 - 5 - 3)*(-160 + 160 - 54*n) as d + r*n and give r.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.6. Let q = 1 + 1. Let g = 2 - q. Which is the second smallest value? (a) m (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (269*v - 18*v + 98 + 609*v - 101)*(v + 2 + 3*v**2 - v) to the form d*v**2 + x*v + o + r*v**3 and give r.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8 + 1. Let x(u) = d + 4*u - 3*u - 2. Let p(t) = -4*t - 3. Let o(b) = -p(b) - 3*x(b). Let z(s) = -2*s. Determine z(o(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 + 1150*s - 14058. Calculate v(13).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71 less than -263818.2?\nAnswer: -263816.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -46*g - 99. What is h(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252478321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p - 132. Let m be h(18). Let b be (m\/18)\/(4\/10962*7). What is the highest common divisor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r**2 - 4*r**2 + 7*r**2)*(-3*r**2 + 4*r**2 - 1 + 0*r**2).\nAnswer: r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 1. Let m(o) = -6*o + 4. Determine 20*g(l) - 5*m(l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -13\/2, 2, -65\/3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 10*h + 7. Let k be r(-7). What is the highest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -5858\/829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - -4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5, d: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 16152\/419 and 39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48863179 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrlslrsssslwrslrrr. Give prob of picking 1 r and 1 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*s + 25, -36 = 3*y - 3*s - s. What is the common denominator of 210\/y*((-66)\/72)\/11 and 46*((-28)\/(-24) + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let c(x) = 3*x - 1. Let p(l) = -13 + 30 - 29*l - 7 + 8*l. Let t(b) = -2*c(b) - p(b). Calculate t(i(o)).\nAnswer: 30*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/6078 - -4051\/6078. Sort 3, n, -6, -0.146.\nAnswer: -6, -0.146, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + u)*(3 - u - 3 + (7 + 3 - 3)*(2*u - 2 + 2) + 4*u + 2*u - 4*u) as t*u + y*u**2 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mmdmmdmd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6078689\/104445 + 2\/20889. Let o = m + -58. What is the nearest to -1 in o, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + 5\/20. Suppose b + f + 1 = 4*r, 3*r - 5*b = 5. Let l = -11 - -14. Solve -s - 6 + l = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 94383990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -8*p**5 - 12*p**4 + 28*p**3 + 48*p**2 + 16*p = 0.\nAnswer: -2, -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*u - 5835 = 106*u. Suppose -4*h + u + 139 = -2*t, -2*h = 2*t - 662. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 12:17 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 plus 18993?\nAnswer: 18993.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 4*p = -22, -3*p = -26*c + 24*c - 19*p + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - 1?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 9. Let z = -7 + l. What is the smallest common multiple of z and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**2 - 3286. Let h(g) be the third derivative of g**5\/12 - g**3\/3 - 4*g**2. What is h(u(d))?\nAnswer: 80*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 - 3 = 0. Put 11, h, 3 in descending order.\nAnswer: 11, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4\/7)\/(u**(-10)\/u))\/(u*u*u**(-1\/5))**(-43))**(-8\/7))**(-7) assuming u is positive.\nAnswer: u**(24592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 13*x + 3. Let o be ((270\/81)\/(-10))\/(1\/18). Calculate z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0657 - -0.0157. Let l = -5 + 1. Suppose 0*o - 24 = -8*o. Which is the biggest value? (a) l (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 - (-5)\/25. Let a = -0.76 - 136.24. Let y = -137.1 - a. Put 0, y, b in ascending order.\nAnswer: b, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 31*m - 2*i + 35, 69*m - 64*m = -5*i + 160 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2131 + -0.1562. Round g to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 911 and -0.0421.\nAnswer: 910.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*v**4 + 1042682*v**3 - 15 - 1042682*v**3)*(19*v - 8 - 6 + 14).\nAnswer: 399*v**5 - 285*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 1\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 268230.\nAnswer: 268230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*i = 146*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -103, -95, -85, -73, -59, -43?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 19.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/21 - 2\/21*i**2 + 2*i.\nAnswer: -2*(i - 25)*(i + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2602 is divided by 860?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times 0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346.\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-141)*(3\/34)\/1.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*x = 276*x - 144. Let q(u) = -u**3 - 3*u**2 + 2*u + 2. What is q(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 - 2 - 4 + 13*t**2 - 7*t. Let z be d(6). Suppose -v + z = l + 3*l, -5*v = -4*l + 276. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y, 0 = -5*k + 2*y + 4315. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 + 9.1. Let w = i - 14.4. Which is the nearest to -0.2? (a) w (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 + -124. Let p = -1 - -1.2. What is the nearest to y in -3, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -169, -353, -599, -901?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose u*h = -3, -h - 1 - 5 = -y. Suppose y*j + 6 = 51. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168395, 167967, 167259, 166271, 165003, 163455?\n\"Answer: -140*h**2 - 8*h + 168543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -2*l, -l = -0*l - 4*o + 14. Let c be (-2)\/3*30\/4. Let t = c + l. What is the closest to -0.1 in 4, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2781b2 (base 13) to base 11\nAnswer: -5a6624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 40. Let b be s(17). What is the common denominator of (3\/(-2))\/((-93)\/b) and -37\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2937, 2928, 2919, 2910?\n\"Answer: -9*w + 2946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 + -3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 24*v + 45. Let u be k(22). Let j be 3 + (u\/3)\/(2\/(-26)). What is the second smallest value in j, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -66*w. Let i(u) = 37*u. Let h(q) = -5*c(q) - 9*i(q). Let s(z) = -63*z**2 + 6. Determine s(h(k)).\nAnswer: -567*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 281 = -193. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 + 1395733962?\nAnswer: 1395734391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 15. Let j be x(14). What is the highest common divisor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 r when three letters picked without replacement from nzrjv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(33\/(-108)) - 0. Calculate the highest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.988 + -34. Let n = r + 0.01200023. Round n to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14651 is divided by 3503?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(104) - sqrt(104)*-2))\/(-4*sqrt(32)\/sqrt(4) - sqrt(8)) + 2.\nAnswer: -6*sqrt(13)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**5 - 10*v**4 - 4*v**3.\nAnswer: 2*v**3*(v - 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -148 (b) 3\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 14. Let j(w) = r - 3 - 17*w + 2*w. Calculate the remainder when j(-2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10335 + -1242?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*y + 194 with respect to y.\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-21)\/(-2)))\/((-26)\/52)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let w = 8 + i. Suppose -b - 3*a = 2 - 13, 18 = w*b - a. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3648\/(-760))\/(126\/60)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 10*i + 5. Let n(q) = -q**2 - q. Let t(f) = 4*f**2 + 5*f - 1. Calculate i*t(z) - 6*n(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -698 - -1307. Suppose 0 = 6*h + h - q. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197 and 75571170.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(171))*-6 - ((1*sqrt(152) + sqrt(152))*3)\/(sqrt(8) - (sqrt(32) + sqrt(96)\/sqrt(3) - sqrt(32))).\nAnswer: -12*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7649*w**3 + 3. Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -76. Let y = -4.358 - -0.358. What is the nearest to a in 2\/3, y, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628304 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from ooyohcp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Let u be (-2 - 6\/(-4))*c. Let g(l) = 2*l. Let t(n) be the first derivative of -4*n**2 + 56. What is u*t(o) - 9*g(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/21, -45, -43\/4, -14 in decreasing order.\nAnswer: 8, 2\/21, -43\/4, -14, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1588851745 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38787152289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 12 + 6. Let s be b\/2*1 - 1. Let f(g) = -g - 1. What is the units digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 27*j + 2. Give g(13).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11253 = 2*p - 21631, -4*f = -5*p + 82223. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.09, 3, 11, 1.4 in decreasing order.\nAnswer: 11, 3, 1.4, 0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 66*d - 963 = 80*d + 5113 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 21 - 10)*(-15*g - 10*g + 8*g)*(-2 + 1 + 0)*(6*g - 3*g - g) to the form o + p*g**2 + a*g and give p.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10883250 (base 9) to base 2\nAnswer: 10100010000011100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose -4*n = 4 - 20. Suppose -s - 2*p - 10 = 0, -s - s - p = 17. Sort n, g, s, 0.\nAnswer: s, 0, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10)*120\/(-168))\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:13 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36612 divided by -6102?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 10*x**2 - 4*x - 18. What is i(8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10100111111010100 (base 2) to base 13\nAnswer: 30193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose -2*q = -7*q + 5. Let o be q\/(-6) + (-14)\/(-84). What is the biggest value in g, -2\/9, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20\/9)\/(i*i**(-4\/5))*i**(2\/13)\/i**(-22) assuming i is positive.\nAnswer: i**(11543\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*y - 84265 = 605*y - 178*y for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1889348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((7 - 9) + 0)\/(4 - (-69)\/(-15)). Suppose -1\/6*i**2 - d + 3\/2*i = 0. Calculate i.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/7 (c) -8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*a + 11, 7*a - 3*o - 11 = 2*a. Suppose 4*q - 1 = -5. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.5 + 21. Which is the nearest to 0.1? (a) -0.5 (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(2 - 4 + 0) - 5 - 2 + 4 + (2 - 7 - 3)*(1 + 2 - 4))*(-j**3 + 2 - 2) to the form r + s*j + l*j**2 + t*j**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 4566 and 1594 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 8 = 0. Let l be (-11 - 1)\/c - -1. Let i(z) = -z - l + 7. Let a(u) = -2*u**2. What is i(a(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3578 (base 9) to base 4\nAnswer: 221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaana.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/4 + -4 + -4. Suppose -u + 8 + 3 = j. Let v be (-204)\/(-330) - (-2)\/u. Which is the nearest to -2? (a) 1\/4 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Let p = -0.4 - z. Let k be ((-2)\/4)\/((-6)\/(-4)). What is the second smallest value in p, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*r**2*t + 2*a**2*r*t**2 + 3*a**2*t**3 + 2*r**2*t**3 + 3*r**2 - 9*t**3 wrt t?\nAnswer: 18*a**2 + 12*r**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 154\/(-55)*5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 563*g + 50 - 237*g + 13*g**2 - 326*g to the form d*g**2 + l*g + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23499\/566 + -5\/283. Let q = -375407773\/616 + 609428. Find the common denominator of c and q.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times -0.23\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 8*v**2 - 7. Suppose -3*j = 5*k - 36, -k + 8 + 6 = 4*j. Let o(r) = r**3 - 7*r**2 + 6. Determine k*q(h) + 7*o(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(440)\/(sqrt(24)\/sqrt(3)))\/(sqrt(25)\/(sqrt(10)\/sqrt(2)*5)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7615?\nAnswer: 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15855*q**3*v**3 + 4*q**3 + 4*q**2*v**3 - 30827*q**2*v**2 wrt q?\nAnswer: -95130*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1\/21*s**4 + 0*s + 1\/210*s**5 + 4\/21*s**3 + 3 + 3\/2*s**2. Let b(f) be the second derivative of u(f). Solve b(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -19. Let w = c - 19. What is the smallest value in 0.1, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(l - 3*l + 0*l) + (-8 + 1 + 3)*(4*l - 5*l + 3*l) to a*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let u(v) be the second derivative of 1\/20*v**5 + 0 + 1\/2*v**3 + 3*v - 5\/2*v**2 + 0*v**4. Determine -3*n(i) + u(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2210?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403059?\nAnswer: 3, 134353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:14 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*o = 5*z + 28, 803536*z - 803539*z = 5*o + 26 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126330*r + 4 + 126313*r + 14 to b*r + o and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998918 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 473257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220 + 93*p**2 - 5*p + 4*p - 220 to j + t*p**2 + b*p and give t.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 2*b**2 + 6*b - 13*b in the form x + s*b**2 + l*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-110)*(-9450)\/3780.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -19. Which is the closest to 1? (a) 0.8 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0*f**(-5))\/(f\/f**(1\/3)*f)**(-35) assuming f is positive.\nAnswer: f**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let p be 6\/(-16) - 675\/(-1800). Solve 0 = -x + 2*t, p = -3*x + t + g*t + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.691 - 16.391. Sort -0.5, -2\/3, -0.063, l.\nAnswer: -2\/3, -0.5, -0.063, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 8*p**2 + 2*p + 19. Let j be b(-8). Let l be 1\/(-2) + j\/(-6) + 1. Let s = l - -23. Calculate the remainder when 114 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6) + (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.016?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 12*k + 4*k + (-3*k + k + 4*k)*(0 + 0 + 1) + 2*k + k - 2*k + (-3 + 2 + 3)*(-4*k + 3*k + 2*k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508075362125 + 9.\nAnswer: 508075362134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 6 = -26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 107*p + 4255. What is k(-40)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 - 967*x**2\/4 + 3916*x - 15728 = 0.\nAnswer: -983, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18428 + -18314.69. Round m to the nearest integer.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43187 - 43187 - 3*c**3 - 16*c**3 - 6*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 + 61*k**4 - 1164*k**3 + 7136*k**2 - 14144*k + 8112 = 0.\nAnswer: 1, 2, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12)*54\/45\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 - -2 - (-19 - -23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/145 and -17\/29?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*(2 - 4 + 0) + (0 + 3 - 1)*(2*n - 2*n - 3*n) - 5*n - 2*n + 3*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*n**2 + 2*f**2*n - 40*f*n**2*x + 2*f*n + 8530*n**2 - 72758*n*x + 2 wrt n?\nAnswer: -2*f**2 - 80*f*x + 17060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*36\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -589185.06 rounded to the nearest 1000?\nAnswer: -589000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1403.\nAnswer: -701.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10938 - -10933. Let z(i) = -122*i**3 - 2*i. Let r(a) = -81*a**3 - a. Give v*z(d) + 8*r(d).\nAnswer: -38*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (1 + 11))\/1. Let j(g) = -2*g**2 + 5*g + 2. Let w be j(3). Is 4*a\/w - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 38*b**2 - 1. Let g(p) = -75*p**2 + p + 2. Let n(j) = -3*g(j) - 5*w(j). Let x = 4 + -1. Is n(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -3, -23, 0.3, -0.1, -2\/11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2c3 (base 16) to base 6\nAnswer: -3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 - 11*y**3 + 16*y**3 - 3*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*4\/(-56)*-7. Let i(l) be the second derivative of 2\/3*l**3 - l**2 - l - j*l**4 + 0. Factor i(t).\nAnswer: -2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.5, 6, 0.6, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + i**3 - 3*i**2. Let v be o(8). List the prime factors of (-1)\/v - 22\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 14*l**2 + 20*l + 19. Let w be o(11). Let b = -495\/4 - w. Factor 3\/4*m + 1\/2 + 0*m**2 - b*m**3.\nAnswer: -(m - 2)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xew when three letters picked without replacement from {e: 5, x: 5, t: 1, n: 3, w: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 - 962\/3. Solve -c*n**3 - 4\/3*n**2 + 0*n + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11) + (83 - (84 - 97))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 4)*-3 - (-6)\/(-2). Suppose -4*m + f + 35 = 0, -3*m + f = -m - 19. Let c be (m\/y)\/((-2)\/12). Which is smaller: 12\/13 or c?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4389 times 2694\nAnswer: 1182.3966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -9. Let l = -43 + d. Let a = 48 + -31. What is the remainder when a is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 77 = -t, -4*t - t = 2*v - 60. Suppose -q = 4*q + v. Let i(k) be the first derivative of -3*k**2\/2 - 6*k + 11. Calculate i(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)\/1*-1. Let h be 17\/4 - 1\/4. Suppose -s = -q - h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 - 0.03. Let p = -0.253 + 0.053. What is the fourth biggest value in 1, 0.1, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 11*b = 0. Let j = b - -19. Suppose 5*m + 23 = 2*t, 0 = -t + 5*m + j + 5. Sort -2, t, 2\/17, 8.\nAnswer: -2, t, 2\/17, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + 32 + -58?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3 + 7*w**2\/2 + 48*w + 2222. Let a(m) = m. Give a(g(u)).\nAnswer: 3*u**2 + 7*u + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -0.2. Which is the smallest value? (a) 5 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-324))\/(20\/(-285))*3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 7*o - 9. Suppose 2*n - o = -55. Let q = 62 - n. List the prime factors of q.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -793.4 + 793. Sort -2\/7, k, -2.3 in ascending order.\nAnswer: -2.3, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 1 - 2*d**3 - 3*d + 12*d + 3*d**3 - 6*d. Let m be b(-1). Which is smaller: -33 or m?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137)\/3014 - (-519)\/(-198)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**31*(h\/h**(-4\/7))\/h*h*h**15 assuming h is positive.\nAnswer: h**(2069\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n + 107. What is z(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a - 5*q - 2635, 5*a = -2*q - 2629. Find the common denominator of -1 - ((-1666)\/a + -3) and 64\/33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-90))\/(4\/144)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 5, h: 3, u: 3}. Give prob of picking 1 t and 1 w.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10629*n - 12712*n - 17349*n - 1143*n - 15017*n - 30556*n)*(-2 - 2 + 6).\nAnswer: -132296*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8394 or 0.1?\nAnswer: 8394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3 + 18. Suppose 0 = 2*l - k*m - 26, -2*m - 1 = 3. Suppose 3*o - l = o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/2 + h**3\/3 - h**2 + h + 1. Let o be s(1). Suppose f + o = 6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38682788 divided by 1\nAnswer: 38682788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*f - 2003 = -1062 + 1369 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 6. Solve 7*l + 2*v = 2*l + w, 5*l - v + 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 287955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 804\/658609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 + 292. Let w = -6035\/36 - -2357\/9. Let m = w + g. What is the common denominator of -34 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -6346, 0.013, 1\/2?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1766 = -3*x, 5*x = -4*w + 2*w + 1766. Let l = 7073\/8 - w. Which is greater: l or -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*t + 10, -3*f + 0*f - 5*t = -34. Let h(i) = 5*i - 4. List the prime factors of h(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-82 + 71 + 5 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r + 2*r)*(-3*r**2 + 5*r**2 - 3*r**2)*(3 + 7 + 0)*(6 + 6 - 4).\nAnswer: 80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 7*r + 7*r + 0*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:48 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 + 6*c - 3. Let l(u) = 11*u**2 + 13*u - 7. Let x = -165 + 156. Give x*f(t) + 4*l(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)*w*w**(2\/11)*w**(-5)\/w*(w**(1\/3)*w*w)\/w)\/((w**4)**(7\/11))**(2\/35) assuming w is positive.\nAnswer: w**(-7457\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let h(p) = -11447*p - 18. Calculate v(h(l)).\nAnswer: 22894*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34749293473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35936*i**3 + 71877*i**3 + 0*i - 35929*i**3 - 7*i.\nAnswer: 12*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, e: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-22)\/(1936\/(-33)) - 17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*h - 39293 + 39294, 0 = -91*h + c + 94 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -38*o - 66. Let g be f(-14). Suppose 3*y + 4*q - 613 = g, 5*y + 2*q = 1775. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k + 2. Let r be c(2). Suppose 0 = -p - 0*d + d - 8, 2 = -r*p - 2*d. Let v(i) = -2*i + 4. Let m(j) = 3*j - 7. Determine p*m(a) - 5*v(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 3*n**2 - 19*n**2 + n. Let q(l) = 20*l - 225. Let k(o) = 3*o - 30. Let h(v) = 15*k(v) - 2*q(v). Calculate h(g(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.8 - 15.7. Let d = -31.4 + z. What is the second biggest value in d, -0.04, 2\/7, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(272) - (sqrt(17) + 2*sqrt(17)*-5)).\nAnswer: -78*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let a(m) = -37366*m**2. Determine d(a(l)).\nAnswer: 74732*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35287.19 seconds in microseconds?\nAnswer: 35287190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 + 44*j - 149. Give b(-15).\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 5*o - 5. Let g be t(4). Let y(q) = -2*q. Let a(i) = -2*i. Let d(u) = -5*a(u) + 6*y(u). Give d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 132.41. Let i = r + 0.59. Sort 1\/3, i, -0.026 in increasing order.\nAnswer: i, -0.026, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 3, 2614, -5, -2 in decreasing order.\nAnswer: 2614, 3, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 18*r + 1. Let j(z) = 4*z**2 - 17*z. Let f(k) = -6*j(k) - 5*n(k). Let v be f(-12). Which is the biggest value? (a) -0.5 (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(500)*-2 + sqrt(500) + sqrt(500))*-6)**2 + (sqrt(5) + -2 + -3 - (sqrt(320) + sqrt(320) + (sqrt(320)*-2 - sqrt(320))))*-4.\nAnswer: -36*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*o - 19160*c**3*m**3*o + 14*c**3*o + 55*c**2*m**3*o - 2*c**2*m**2 + 10*c**2*m*o - 6*o wrt c.\nAnswer: 24*c*o - 114960*m**3*o + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g - 3*n + 287 = -50*g + 261, 3*g + 2*n - 17 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1137*w**2. Let n(t) = 2*t**2 + 13403943*t - 13403943*t. Calculate z(n(y)).\nAnswer: -4548*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 14. Let v be w(15). Let z(b) = 8*b**3 + b**2 + 2*b - 2. Let c be z(v). Let q = c - -5. Calculate the greatest common factor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:47 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5703054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 1370*k**3 - 3*k**2 - k**5 - 23397*k**4 + 22028*k**4.\nAnswer: -k**3*(k - 1)*(k + 1370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**2 - 3*v + 3*v + ((1 + 6 - 5)*(-3 + 2 - 1) - 2 + 3 + 0)*(-10*v**2 + 5*v**2 + 7*v**2).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 6*t - 438. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-36)*45\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10af33 (base 16) in base 13?\nAnswer: 2c38ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4169350280 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, -1, 1273 in decreasing order.\nAnswer: 1273, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554037, -553659, -553279, -552897, -552513, -552127?\nAnswer: -551739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*g + 1710 + 266 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 16. Suppose 0 = q + 3*q - 32. Solve q*t - 5 = a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95717, 191428, 287139, 382850, 478561?\n\"Answer: 95711*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 995*h + 13 - 996*h + 71 as n*h + f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4 + 33\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2 - -1)*1. Solve -3*y = -2*y - 3*j - 5, 5*j + u = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*162\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -22*a - 601. Let b(k) = -95*k - 2403. Let i(q) = 6*b(q) - 26*g(q). Let n(m) = m**2. What is i(n(x))?\nAnswer: 2*x**2 + 1208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -62 - 82. Solve 0 = -9*z + 7*z + s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/126 - -1\/18. What is the closest to -10 in -2, 2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35840 divided by 224.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21540687 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 15 - (4 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-2\/9)*o)\/o)\/o)**4\/((o\/(o**15*o)*o)\/(o*o**13*o*o)) assuming o is positive.\nAnswer: o**(298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*j - 20, -3*l - 17 = 42*j - 47*j. Let m(f) = 4*f - 3*f - 3*f - f + j*f. Let k(z) = -11*z**2 - 55*z. Determine -k(a) - 55*m(a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 0 + 5 + sqrt(44)\/sqrt(4).\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3996\/18278 + 18\/38.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r)**(-29)\/(r**6\/(r**(-2\/7)\/r)) assuming r is positive.\nAnswer: r**(862\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*h**2 - 4)*(((-2 + 1 + 3)*(-3 - 3 + 4) + 5 - 7 - 8)*((0 + h + 0)*(5 - 4 - 3) + 117*h + 5*h - 54*h) + 2*h + 0*h + 0*h + (3 + h - 3)*(2 - 6 + 3)).\nAnswer: -1846*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2. Let m = 88 - 44. Let o = m - 33. Let q(v) = o - 4 - 2*v - 7. What is w(q(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4060703 and 213.\nAnswer: 12182109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, 7, 76743, -19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 11*f - 17. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 13. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Let v = g + 6. Suppose 0 = x + v*x - 36. What is the lowest common multiple of x and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-108)*(10 - 1300\/(-50))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/12 - 5*y**3\/6 - 2*y**2 - 3*y. List the prime factors of k(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 751774838 and 6?\nAnswer: 2255324514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 48*b**3 + 1588*b**2 + 10416*b + 20880.\nAnswer: -4*(b - 29)*(b + 5)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 39*g - 36. Let r be b(-40). Suppose x + 0*x = 5*j - 23, r*j = x + 19. Solve 0 = j*p - 5 - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18523.88234 to the nearest integer.\nAnswer: -18524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:12 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6038 is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from rsaasaasr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*h**4*s - 4445070*h**2*s**2 - s**2 + 835161*s - 13 with respect to h.\nAnswer: 184*h**3*s - 8890140*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8312 + -2061. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -221, -0.016?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/33)\/c*c)\/c**2)\/(c*c**1)**(-47) assuming c is positive.\nAnswer: c**(3067\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**8\/12 - c**5\/6 - 25*c**2. Find the third derivative of n(q) wrt q.\nAnswer: 1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -47f0?\nAnswer: -47ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 8*f + 11. Give d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44089 smaller than 44090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1714629?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -741, -739, -735, -729, -721?\n\"Answer: z**2 - z - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5f9 (base 16) to base 10\nAnswer: -1529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9954 by -553.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vtttevtvjjcvsvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (-3 - 1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 12*a - 13. Let m be j(-10). Let q(d) = 3*d + 2. Let w be q(2). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okjkkbbkbjoojppp. Give prob of sequence bp.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33076615 is divided by 382.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*h = -10, 5*h = -5*z + 19 + 16. Suppose 0 = 4*j - 2*x - 4, 3*j - x = -0*j + z. Solve -7 = 2*w + s, -3*w - j*s = -0*w + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201221111 (base 3) to base 2.\nAnswer: 11100011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + (-2552)\/231)\/1. Let w = -4 + 3. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2460)\/180810)\/(11\/(462\/(-4))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4157650*c + 2470924 wrt c?\nAnswer: 4157650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/15 + (96\/(-70))\/(-2). Put f, 2\/5, 1, -1 in ascending order.\nAnswer: -1, f, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100600 rounded to the nearest 10000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 56*b + 17 + 30*b + b**2 - 19.\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -2)*(7 - (-39)\/(-5)). Solve -h - 3 - v = u, 13 = -4*h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 938907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7\/10 (b) -4 (c) 0 (d) 47 (e) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 + 152*w - 324. Let m be o(28). Let k(u) = -2*u**3 + 25*u**2 - 8*u - 48. Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-66))\/(33\/264).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55879 and 17612.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -10. Suppose -m*x = -7*x - 4. Let b be 9\/21 - 48\/14. Let i(h) = 5*h**2 + 2*h - 2. Let o(w) = 6*w**2 + 3*w - 3. Determine b*i(t) + x*o(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s + 14*s - 475*s**3 + 472*s**3 - 9*s**2 + 2*s.\nAnswer: -3*s*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -1616, -2424, -3232?\nAnswer: -4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 2*q + 6. Let t be k(2). Let b(w) = 5*w**3 - 2*w - 2. Let m(f) = -154*f**3 + 63*f + 63. Give t*m(x) - 63*b(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2847849 and 3615.\nAnswer: 3431658045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13572387 + 3*k**2 + 7530*k + 11825*k - 32117*k.\nAnswer: 3*(k - 2127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(42\/28 - 6\/(-4)). Put 4, -23, s, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, s, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 220300 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i - 2. Let h(s) = -s**2 + 6*s - 2. Let n(c) = -2*h(c) + 3*w(c). Give n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkccckktktkbkck. Give prob of sequence ct.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*x - 18, -3*d - 8 = -3*x + 1. Let m be d*(-2)\/54*-3. Let p be (3 - (6 + -4))*0. Which is the closest to 1\/3? (a) -3\/4 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10145210 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666 + 668. Solve -4*p + 12 = 0, 10 = -s + v*p + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -56. Let m = q + 59. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) + (-33)\/(-12). Suppose -g = -h*g. Let d = 2 + 1. Solve -m = 5*o - 11, o = -d*m - g*o - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.0367\nAnswer: -0.00734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1125860.7338013 - -21.\nAnswer: 1125881.7338013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625505216*d - 1625505216*d + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38323181 divided by -1\nAnswer: 38323181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-54))\/((-135)\/567)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 63*c**2 - 593*c + 1197. Determine l(2).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -981 - -1558. Let p(l) = -12*l + 4. Let d be p(-5). Let s = d + b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 8*r**2 - 652*r - 3883. Calculate q(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4524 - -6727?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44.86*-0.23004\nAnswer: 10.3195944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 - 4*j - 2. Let a(k) = 2*k**2 + k - 2. Let l be a(2). Suppose -l*p - 3*p = 33. Calculate h(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 98*j**2\/5 + 166*j\/5 - 264\/5 = 0.\nAnswer: -132\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606238642.\nAnswer: 2, 7057, 42953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199 = 626*p - 4942 - 10655 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105432037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 25 = 3*h + 2*h, -3*j - 20 = -4*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from {i: 1, o: 3, g: 7, m: 1}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by -8395.\nAnswer: 63\/8395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1740\/(-8880)) + 4\/74.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*r + 208 = 5*r, -3*l = 3*r - 612. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6705576470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950015*r**3 - 23 - 3950016*r**3 + 16.\nAnswer: -r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 0 - (3 - 5). Suppose 48 = 7*n + 13. Solve -n*v - w = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 1. Suppose -4*h = 27 + 33. Let x be ((-4)\/(-18))\/((-25)\/h). Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 + 501 = -166*k. Solve -2*w + 3*o + k = -3*w, -4*o = -5*w + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 9*k + 3*f = -101, -131 = -k - 3*f. Suppose 2*b = 49 + 73. Let s = k - b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 4*i - 4. Let f be w(-4). What are the prime factors of (2\/7)\/(f\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47008 and 9152?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from uuuwwuuuwuwwuwwwuuw.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*f. Let p be 6 - (5 + -1 + f). Solve -2*j + 4*t = -18, 21 = p*j + 2*t - 5*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1918 - 1906. Solve 4*f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*j**4 + j**2 + 3*j + j + 24*j**4 + (2*j + 2*j + 2*j)*(2*j**3 - 2*j + 2*j)*(3 - 2 - 3) in the form m + w*j**4 + t*j + n*j**2 + q*j**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)*3\/2. Let o be 0\/((-2)\/(3\/i)). Solve 4*v + 4*l + 4 = o, -1 = -2*v - 0*v - 3*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*x + 151 = 15, -2*i + 4*x = 232. Let z(g) = -2*g**2 - 3*g + 51. Let h be z(10). Let p = i - h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**2*i*n + f**2*i*r - 42*f**2*n**2*r - 3*f*i*n**2 + 2*f*i*r + 2*i*n**2 - 9*i*r + 2*n**2 wrt f.\nAnswer: -8*i*n + 2*i*r - 84*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 12*t**2 + 21*t + 18*t**2 + t**2 - 3*t**2.\nAnswer: t**3 + 4*t**2 + 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 197307.8.\nAnswer: 197307.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 + 4 = 0. Let w(z) = -7*z**2 - 4*z - 3*z**2 - 1846 + z + 9*z**2 + 1842. Determine w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 70, -1, 1, -4 in descending order.\nAnswer: 70, 1, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 15*c**2 + 16*c + 11. Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 - 0\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91193 is divided by 15197?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(300) - (3*sqrt(300) + 0)**2) + (sqrt(12) + (-4*sqrt(432))**2 - (sqrt(108) + 3 - sqrt(108) - sqrt(108) - sqrt(108) - sqrt(12))).\nAnswer: 26*sqrt(3) + 4204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 2 v when four letters picked without replacement from rrrzczzzvovrv?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 1. Let j = 50 - 49. Let l be a(j). Solve 7 = -4*z + l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7630785174 + 2.654.\nAnswer: -7630785171.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let j(y) = -2*y. Let f be 4\/(-6)*81\/18. Let p(w) = f*d(w) - 4*j(w). Let v(b) = -b**2. Calculate v(p(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -95\/6. Let j(u) be the third derivative of u**5\/60 + u**4\/8 + 2*u**2. Let s be j(-3). Is t at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 12. Let z be f(8). Let k = -4 + z. Suppose -119 = -5*r - k. Calculate the remainder when 75 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) 10 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 23*i**2 + 4*i\/3 - 92.\nAnswer: -(i - 69)*(i - 2)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-66))\/(2*(-1)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 + 138\/42. Suppose -5*i - h*m + 4 = 6, i - 3*m - 14 = 0. Suppose -1408 = -i*f - 2*j - j, -f + 5*j + 691 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 4*k - 9*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -44717 - -6.651505617\nAnswer: -44710.348494383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + w**5 + 0*w**5 + (-2*w**5 - 2*w**4 + 2*w**4)*(4 - 3 - 2) + 29*w**5 - 59 - 6*w**5 + 60.\nAnswer: 27*w**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166046973 by -5.\nAnswer: 166046973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62546, -125091, -187636?\nAnswer: -250181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Find the second derivative of 2 + 2*u**k + 0 + u - 2 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1059787, 1059786, 1059785?\nAnswer: 1059784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {c: 6, f: 1, m: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 363\/5. Let z = -194.26 - -197. Let g = -2.24 + z. Put 4, k, 0.1, g in decreasing order.\nAnswer: 4, g, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**5 + u**4 - u**3 + u**2 - u + 1. Let v(l) = 19*l**5 - 16*l**4 + 23*l**3 - 11*l**2 - 6*l. Let d(j) = 18*c(j) + 2*v(j). Solve d(t) = 0 for t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(180)*-6) + (sqrt(180)\/sqrt(4) - sqrt(5)).\nAnswer: 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojj when four letters picked without replacement from ojojjooojooojo.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (471 - 487 - (-110 - 1)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 528*t**4 - 530*t**4 - 5586*t**3 + 2125*t**3 in the form q + y*t**2 + k*t + v*t**3 + o*t**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 76. Let n be (-26)\/(-7) + 8\/r. Let j be (4 + (-16)\/n)\/3. Solve -4*y + 15 + 1 = j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 7326606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l + 2*l**3 - 5*l + 4*l**3 + l**3 - 3*l**3 + (-l - 3*l + 6*l)*(0*l**2 - 2*l**2 + 3*l**2) - 154*l**3 + 7259*l - 7259*l.\nAnswer: -148*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 6*h - 7. Let u be p(6). Let x = 12 + u. Let l be (-20)\/(-8)*4\/x. Solve -10 = -4*v + l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47\/43, 2, 100\/19?\nAnswer: -47\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h - 5*u + 41 = 0, 4*h = 2*u + 72. What is the remainder when h is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, m: 3, n: 1, u: 1, h: 1, z: 3}. Give prob of sequence fzm.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 20, 514, 3 in increasing order.\nAnswer: -5, 3, 20, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4528 = -d, -2*j + 2*d - 859 + 3113 = 0. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 7\/29, 4\/7, 1.1?\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/18927 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 246489095 a multiple of 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/5)\/(1\/(-5)). Let h be (2\/v)\/((-3)\/18). Solve z**2 + 0*z**2 - 5*z**2 + h*z + 2*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36976\/11 + -3366. Let l = 737\/13 - 19869\/364. Find the common denominator of n and l.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16353 + 21?\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - w = -529, -w - 732 = -4*b + 1389. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Suppose -2*b - 3*b + 5*a + 25 = 0, -3*b = 2*a - 10. Suppose 0 = b*g - 3737 + 829. Let v(s) = 5*s - 727 + g. Calculate v(w(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -166 - (2 - (87 - -8))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6790, -771, 2.\nAnswer: -6790, -771, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147651 - 10?\nAnswer: 147641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/5)*d\/((d**(-7\/2)*d)\/d))**45 assuming d is positive.\nAnswer: d**(531\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**5\/5 - 3*s**4\/2 + s**3 + 9. Find a such that p(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-25)\/(-2). Suppose -r = -48*c + 52*c. What is the biggest value in c, 2, -1, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + 2\/(-5). Let s be (8\/6 - 0)\/((-42)\/(-126)). Suppose s*l - 11999991 = 3*d, t = -7*l + 2*l - 2*d + 15000006. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1646391 and -14.\nAnswer: 23049474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one halves of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - 43?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.3. Let k be (1 - 2\/5)\/(36\/40). What is the third biggest value in f, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 712*j**3*r**2 + 6*j**3*r*t**3 + 3*j**2*r**2*t**3 + 43*j**2*r - 2*j*r - 2 wrt r?\nAnswer: 1424*j**3 + 6*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69307873 < 69307866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 5 = 7 + 213 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 1402023.\nAnswer: 1402022.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 7}. What is prob of sequence vvv?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - n - 49150 = -157678, 81413 = 3*h + 5*n. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*t**4 - k*t - 168*k wrt t?\nAnswer: -4*k*t**3 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 = 0, 63*p + 17 = 66*p + 5*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2499 = -22*s + 1747. List the prime factors of s.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1117*b**4 - 77*b**3 + 24*b + 163090553 wrt b.\nAnswer: -4468*b**3 - 231*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*6)\/(sqrt(70)\/(sqrt(7)*-1)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173434 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2516*i**2 + 185*i + 307. Is y(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/20*((-1860)\/102 + 18)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 8 (c) 1\/246 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - c**5 + 53*c**3 - 12*c**2 - 5*c**5 - 47*c**3 + 9*c**4 = 0. What is c?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxa when three letters picked without replacement from qgdhhgxhgahqhq.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20012212212021 (base 3) to base 13\nAnswer: -8b90cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -3 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (2 - 4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, x: 3, m: 3, g: 3}. Give prob of picking 3 m and 1 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-16))\/((-5)\/4). Let o = 99.4 + -99. What is the smallest value in o, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(10 + 2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35734, 71427, 107088, 142711, 178290, 213819, 249292?\n\"Answer: -u**3 - 10*u**2 + 35730*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = -9. Let a = 369 + -364. Solve y**c + a - y - 11 + y**3 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 4*a - 5. Suppose -2*v = -2*q + 8, -3*q = v + 15 - 3. Calculate the remainder when ((-20)\/6)\/(1\/v) is divided by i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 5. Suppose 4*h + 12 = -4*a, 8*h + 7 + 5 = -4*a. Let z(n) = 6*n - 4. Calculate a*z(s) + 4*i(s).\nAnswer: 6*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1948 (base 13) to base 12\nAnswer: -222a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1136093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/7 + 512*s - 10734\/7 = 0.\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = s + s + 3*y, s = -5*y - 7. Let v = 4 + s. Let o = v - -17. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2172, -3156, -4166, -5214, -6312?\n\"Answer: -2*k**3 - k**2 - 967*k - 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(2\/(190\/(-6)*6))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - 9\/(-6). Let m be 5*v*36\/30. Let t be -3*786*100\/m. What is t rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4\/5 + 4936*s**3\/5 + 4948*s**2\/5 - 1976*s = 0.\nAnswer: -2, 0, 1, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66795.\nAnswer: 3, 5, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 48456.26 to the nearest 100.\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14371*s - 1426*s - 1100*s as i*s + u and give i.\nAnswer: 11845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 + -171. Let x be 11\/((-22)\/(-5400))*p. Round x to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 18*c**2 - 42*c - 8. Let m be r(-5). Find x such that 1\/2*x**m + 0 + x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 78190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*s - 10, -4*x - 4*s = -26 - 14. Let p be (-9)\/6*5900\/x. Round p to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 6846120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + h**2 - 3*h - h - 20 - 5*h. Let j = 236 - 223. Let k be p(j). Solve -n + 3*n - k = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v - 1. Let l(s) = -20*s**2 - 71*s + 13. Give 11*i(x) + l(x).\nAnswer: -9*x**2 - 82*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 195*o - 1765. What are the prime factors of c(30)?\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 n when four letters picked without replacement from nvqgfnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 2*j**4\/33 + 4*j**3\/11 + 9*j**2\/11 - 2*j + 3. Let h(c) be the first derivative of z(c). Find u, given that h(u) = 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2545005 (base 6) to base 7\nAnswer: 1114451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001110001111010 (base 2) to base 12.\nAnswer: 296536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(1635\/872)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -74, -63, -48?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 - 4) + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/8 + 127*w**2 + 252677*w\/8 + 250649\/4 = 0.\nAnswer: -587, -427, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 14 = 2*l, 3*j = l - 8. What is the tens digit of 3554\/14 + 3 + j\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let m = -1561 - -14033\/9. Let r = 10\/9 + m. What is the smallest value in -4, r, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -1, -2, -3?\n\"Answer: -s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - 2 - (1 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*m - 16*m + 18*m + 3*m + 8*m + 2*m**2 in the form a + d*m**2 + c*m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00123 + -1.60877. Sort 0.5, 0.05, w, 3 in decreasing order.\nAnswer: 3, 0.5, 0.05, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1. Let j(x) = -24*x - 12. Let s(b) = -55*b - 26. Let v(z) = -9*j(z) + 4*s(z). Let y = -3 - -2. Calculate y*v(a) - 2*h(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and 0.1.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 392, 4\/9, 0.3, -2, -0.1, -4?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 10, 3\/2, -1\/9, -2\/23?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/6 + 1\/3. Let a(w) = w**2 - 8*w + 9. Let h be a(g). Let x(m) = -m**2 - 23*m - 17. Let f be x(-22). Solve t = h*t + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/9 and 6\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/17, 0.5, 20, 0.4, 3, 553, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 15. Put r, -5, 1\/6 in decreasing order.\nAnswer: 1\/6, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let t = 9 + -7. Let h be t\/(-2) + 4\/1. Let r(x) = -4*x**2 + 8*x**2 - h*x**2. Give d(r(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/12412890 and -23\/54616716?\nAnswer: 273083580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s**5\/5 + 19743*s**4 + 32868*s**3\/5 - 78972*s**2 - 131616*s\/5 = 0. Calculate s.\nAnswer: -10968, -2, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2013 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -23484 and -23468 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.052611066 and 1072.\nAnswer: 1072.052611066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(((-9)\/(-6))\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3042980 divided by 4660\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481 - (-4 - 0\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 + 20*q**3\/11 - 2*q**2.\nAnswer: 2*q**2*(q - 1)*(q + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7. Let x be 1*(-2 - -3)*i. Let n(o) = 8*o - 1. Let y(g) = -7*g + 1. Determine x*y(d) - 5*n(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131178 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-265*m**2 - 105*m**2 - 361*m**2)*(-5 + 5 + 3*m**2).\nAnswer: -2193*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:14 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1997 - 2485. Is k >= -489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/45 - 5\/(30\/(-8)). Suppose 3*m - 5*m = -4. What is f in -2\/9*f**5 - 2\/9*f - 2\/9*f**4 + g*f**m + 4\/9*f**3 - 2\/9 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 92*u**4 + 340*u**3 + 1612*u**2 + 1816*u + 640.\nAnswer: 4*(u - 16)*(u - 10)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302 or -1203\/4?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3232 divided by 2.\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, -3*v + 5*l - 4 = -4*v. What is the common denominator of 4\/6 + 550\/12 and ((-11)\/12)\/(4\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*v**4 + 16*v**4 + 12*v**4 - 16*v**4 + 2*v + 2*v**4 - 2*v + (-v + v - 2*v)*(0 + 0 + v**3) - 2*v**4 - 2*v**2 + 2*v**2.\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a - 144. Let w be d(-27). Let t = -161 + w. What is the remainder when t is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - 16\/((-3712)\/5887)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 16*b - 440. Calculate the lowest common multiple of 200 and b.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 30 = 6*n. Let c be (210\/(-280))\/(1\/(-16)). Let u be 2\/n*c\/40. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1716073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.396 - 4.\nAnswer: -1.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 - 4665*d**2\/8 + 226398*d + 453963\/2.\nAnswer: 3*(d - 778)**2*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 19*a + 118. Calculate the remainder when f(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 8*o**3 + 18771*o**2 + 7 - 18771*o**2 as n*o + h*o**2 + u + y*o**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1772*o - 595*o - 586*o - 588*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 695 = 4*k. Let d = k + -123. Is 16 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w - 3*w)*(-21*w + w + w)*(0 - 1 + 3).\nAnswer: -152*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1343195?\nAnswer: -1\/1343195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -220, -219, -218, -217, -216, -215?\n\"Answer: m - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -444*86\/1032 + 948\/6.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100.21 - -101. Let b = k + 2.21. Let d = -0.2 + 0.4. What is the biggest value in 2\/3, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2030 = -3*y, y - 10*d - 686 = -7*d. Suppose y = -9*h + 1727. What is the highest common divisor of h and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64467 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*x**3 + 18\/7*x**2 + 18\/7 + 33\/7*x.\nAnswer: 3*(x + 1)*(x + 2)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/24))\/(98\/35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.07476.\nAnswer: 4.92524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3956432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*h - 1217, -4*r - 2*h = -0*r + 1604. Let t be 1\/2 + (4 - r\/14). Suppose g = -10*g + t. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1829, -7411, -16707, -29711, -46417?\nAnswer: -66819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*y - 19046 + 21668 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -149. Calculate the remainder when l is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + o + 2. Let g be (-35 + 37)\/(3\/(654\/(-4))). Let p = g - -109. Determine v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1393*i + 1424*i - 341 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984010*t + 984015*t - 224 = -4*n, 5*n = t + 251 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-5)\/(25\/65)))\/1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from hlkhklqkhlhh.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 14) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 2*r**2 + r + 29. Let b be c(0). Let u = 57 - b. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwnwwnnwn. What is prob of picking 3 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-26)*(-2 - 74\/(-39)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - 96\/(-42). Solve -o = f - 7, b*o + f + 2*f - 16 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-8))\/(6\/(-24)). Sort -0.1, i, 0.3, -3 in decreasing order.\nAnswer: 0.3, -0.1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 41*d + 3*b, -d + 5*b + 15 = -5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 27*m**2 + 51*m - 29. Let t be i(25). Let q(k) = -k**2 - 2*k + 13. Let a be q(t). Solve -a*f - 2 = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 480 + -196. Let n = v + -272. What is the least common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5067 + -5067.7. What is the smallest value in -5\/3, 4\/7, 0.4, t?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/10 - s**5\/10 + 7*s**3\/2 + 29*s. Find the second derivative of f(n) wrt n.\nAnswer: 36*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Give c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.01 + 0.01. Let l = g + 53. Let d = 26 - l. Put 3, 0.4, d in ascending order.\nAnswer: 0.4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-8)*1\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4*r = -30. Let z = 40 - r. What is the common denominator of z and 4\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/78*-6)\/(81\/9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11657163.\nAnswer: 3, 7, 389, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = -2*k + 5*k + 69 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 take away -18948?\nAnswer: 19080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 6. Find the second derivative of 3 + y - 3 - 2*y**4 + i*y**4 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19779261 and 19779253 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.93 + -0.07. Suppose 4*w - 1 + 5 = -2*i, 4*w + 8 = -i. Suppose 3*y + 12 = -o, i*y + 24 = -3*o + 8. Which is the smallest value? (a) 2 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311220066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*k*w**5 + 2*k*w**4 + k*w + 99*w**2 + 2*w wrt w.\nAnswer: -12120*k*w**2 + 48*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245746797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 31 = 5*q - 7, 3*q + f - 14 = 0. Let s(o) = o**2 + o - 1. Let l(j) = -4*j**2 - 6*j + 6. Calculate q*s(b) + l(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -17*x**6\/30 - x**5\/60 + x**4\/8 - 1028*x**3\/3 - 726*x**2. What is the derivative of c(t) wrt t?\nAnswer: -204*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027595078 to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q. Let m(k) = 17*k + 58. Determine m(w(o)).\nAnswer: 170*o + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25926 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258375789.\nAnswer: 3, 7, 107, 38329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h**2 - 2*h**2)*(3*h + 7*h + 2*h) - 3*h**3 + 1 + 1520*h - 1518*h + 3*h**2 + h**2.\nAnswer: 21*h**3 + 4*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**3 + 23*t**3 + 286*t + 9*t.\nAnswer: 2*t**3 + 295*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.94432 and 0.1.\nAnswer: -0.294432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 444147?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 22 = 4*j, 2*j - 6 = 1903*h - 1904*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/10 - (5 + 104\/(-20)). Suppose -3*c + 67 = 5*m, -5*m + 4*c = -d*m - 46. Calculate the remainder when (-246)\/(-4)*(-2)\/(-3) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4921 and 1803 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10205653.\nAnswer: 373, 27361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*(y\/(y**(1\/6)\/y))\/y)\/y)*y*y)\/(y**1*y)*(y**(2\/7))**(-2\/25))\/(((y*y**(1\/5))\/y**(-7))\/((y*y**(1\/7)*y)\/y*y**(2\/5))) assuming y is positive.\nAnswer: y**(-977\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(2 - 3 + 0)*(2889 + 92*x - 2889) - 3 - 2*x + 3.\nAnswer: 274*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -2 - (-2 + -2 - (2 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**11)\/g))\/(g*g**0\/g)*((g**(3\/5)\/g)\/g)**47)**3 assuming g is positive.\nAnswer: g**(-1137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012883 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1570 and 26.\nAnswer: 20410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t**3)**(-1\/68)*((t**(-1))**(-10))**(-1\/26) assuming t is positive.\nAnswer: t**(-771\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7415 + -1.5115. What is the third biggest value in 30, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 184794*n - 32708533. Give u(177).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 2 (c) 1\/2 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 49, 71?\n\"Answer: 22*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/28*30\/(-9)*(-252)\/490.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143902 and 2191024.\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11\/3 (b) -14 (c) 3\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 4*o - 150 = 0. Sort o, -0.3, -1, 3.\nAnswer: -1, -0.3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-40*(-3)\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/8 - 121\/154?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 5:00 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -124 + -11?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8183*q + 8181*q + 14*q**2 + 4*q**2 to the form x*q**2 + n + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 - (-1 + 0). Let r(j) = j**3 + j**2. Let c be r(q). Let h = -9 - -8. Is h smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/110 and -173\/23640.\nAnswer: 260040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 679 + -324. Let y = c - 4613\/13. Suppose -5 + 1 = -4*r. What is the nearest to -0.1 in -0.6, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 396 - 37. Let k = -362 + q. Are k and 0.37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787131 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 5. Suppose 0*x + 30 = -5*x. Let n = 2 + x. What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 127*c - 2221. Determine k(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 5439887?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -8.005, 6\/7, 37?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 51*g + 157. Let u be l(-3). Let x = 0 - 0. Solve x = -a - u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**4 + f**3 - f + 13. Let i(k) = -k**4 + k**3 - k + 1. Let l(y) = i(y) - r(y). Differentiate l(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3736350*h**3\/11 + 240290340*h**2\/11 + 352162304*h + 30457856 = 0.\nAnswer: -9152\/285, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 5. Let v be t(-6). Let m be v\/(-2) - 164\/(-8). Solve m = 3*x - 8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -475498\nAnswer: -5\/475498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 8*c + 5*l - 607, -5*c + 3087 = -l. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1517 - -2?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kramkkmmkjkmmpjrrkj. Give prob of sequence kaj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 100768560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h. Suppose -5*y + y + 8 = h. Solve 5*q = -y - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6 - 4*h + 7 + 31*h. Is c(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**4\/6 - 6*o**2. Let p(k) = -137 + 2*k**2 + 137. Give p(z(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/4 - 19*p**3\/3 - 19*p**2 + 15*p - 6. List the prime factors of n(21).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/32*312\/(-7020))\/(1\/2)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 + 6. Let t = 1 + -5. Which is the closest to q? (a) 3\/4 (b) 4\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 589656.\nAnswer: 4127592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -32.0781.\nAnswer: 3.20781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 42) + 27 - -28 - (-27 + 2 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170\/3 - -56. Let g = 328513 + -328508. Let q = 1 - 0. What is the smallest value in 4, z, g, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -338*v**2 + 250328*v\/3 - 46349192\/9 = 0?\nAnswer: 4814\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3234 and 210.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -610582 (base 10) in base 3?\nAnswer: -1011000120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48999 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 82045320?\nAnswer: -82045320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**3 - 5*l + 4. Let t(r) = -r**3 + r + 1. Let s be ((-6)\/2)\/((-30)\/40). Let n(z) = s*t(z) - d(z). Find the second derivative of n(f) wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 2, t: 4, a: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from dsadaabpdaabpda.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35932, 143721, 323362, 574849, 898176?\nAnswer: 1293337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50\/399 - -169\/1197. Let h(m) be the second derivative of 0*m**3 + 1\/10*m**5 + 0*m**2 + 10*m + u*m**7 + 0 + 1\/15*m**6 + 1\/18*m**4. Factor h(k).\nAnswer: 2*k**2*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63158239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, -3, -63?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 9630*p + 834. Calculate h(0).\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59419 is divided by 632.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**4 - k**2 - 772*k**3 - 2*k + 389*k**3 + 385*k**3 - 2*k to h*k**2 + m*k**3 + b*k**4 + w + g*k and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-13 + 16 - (23 - 7))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {y: 2, r: 4, z: 2, g: 5, a: 1, i: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 129.3835788s?\nAnswer: 0.000213927875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8133593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 - 12*p**2 + 3*p + 1. Let b be -2 + -7 + 2 + (-20)\/(-5). Calculate y(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 86 = 3*x - 0*x, 76 = 3*x - 2*w. Suppose 4*l = 6 + x. Let g be (-1 - 0)\/(-1)*l. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -273*k + 41. Is w(-9) 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 7461 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**3 - s**2. Let n(g) = -8*g**3 + g**2 - g - 1. Let v(u) = -3*n(u) - 4*o(u). Determine v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 - 8*n + 5. Let q(z) = -12*z**2 + 12*z - 8. Let v(f) = 8*j(f) + 5*q(f). Factor v(g).\nAnswer: 4*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -73, -102?\n\"Answer: -29*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 8, 23271, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3329, 7199, 11063, 14921, 18773, 22619?\n\"Answer: -3*a**2 + 3879*a - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31809264671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (-6 - -58) + 17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18127?\nAnswer: 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*45\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92069 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12676 - 6713. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let k be (-15)\/(-24)*-2*-4. Suppose 4*i + k = 9*i. Let w(v) be the second derivative of 5*v**3\/6 - v**2 - 172*v. Calculate i*w(g) + 6*m(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 12:07 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2324407 - 87*q**2 - 2324407.\nAnswer: -87*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 - 8*h - 4. Let c be l(8). Suppose m - c = -4*m. Let s(g) = 4*g - 17. What is the remainder when 59 is divided by s(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m, 5*m - m + 12 = 4*h. Let q(y) = 5854*y + 11711. Let d be q(-2). Sort -1, d, h.\nAnswer: -1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76577 + 27?\nAnswer: -76550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/3*-3*3\/36*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v + 2. Let y be l(3). Let k be y\/(9\/(-6) - -1). Factor -1\/4*j**k - 1\/4*j + 0.\nAnswer: -j*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9444.664kg in tonnes?\nAnswer: 9.444664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343170 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9763.6503937 - -113.8120537. Let r = -9650 - z. Let p = 0.163 + r. Round p to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 687279*d**3\/4 + 9840761406*d**2 - 9840589587*d.\nAnswer: 3*d*(d - 114546)**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b751 - -2?\nAnswer: -b74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.552 + 104.852. Let v = 103 - d. Let k = -10 + 4. Which is the second smallest value? (a) k (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 4*z + 0*z + (-1 - 1 + 1)*(-2 + z + 2) + 22 - 4*z + 50 + 5*z to a + h*z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h - 8*h**2 + 29*h**2 - 13 + 52*h**2 wrt h.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44171844*a**3 - 88347280*a**3 + 44175437*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48079355941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -50. Let o be (0 + -12)*(j\/2 - -4). Calculate the highest common factor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(2 + -5 - (-224)\/76). Suppose 2*v + 3*k + b = 4*v, v - 5*k = 63. Calculate the common denominator of 33\/16 and (-51)\/v + (-25)\/(-132).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 3*d, -4*d = 3*p - 8 + 2. What is the second biggest value in p, -1, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17134 and 1430.8.\nAnswer: 24515327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 124*v + 122*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2287 or 0?\nAnswer: 2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 4*f = -3*p + 10*f - 22, 0 = 8*p - 5*f + 47 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w. Let x be t(-1). Let d(c) = -c. Calculate the lowest common multiple of 8 and d(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6998.1 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/27*(-702)\/(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.017\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76848 (base 9) to base 16.\nAnswer: c731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.2, 0.\nAnswer: -15, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:51 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 583779, 583729, 583683, 583641, 583603, 583569?\n\"Answer: 2*t**2 - 56*t + 583833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 = -4*o - p, 0 = 2*p - p + 3. Suppose 5*z - o = 205. Let n be (10\/(-15))\/((-2)\/30). Calculate the highest common factor of n and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/25)\/k*k\/(k*k\/(k\/(k*k**(3\/13))))*(k*k**(6\/11))**34 assuming k is positive.\nAnswer: k**(180161\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 21*a**2 - 41*a - 18. Suppose -2*g + 38 = z, -z - 3*z = -8. Is m(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*126\/(-12). Let a = -17 + 25. Suppose -2 - a = -2*t. Solve -t*k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 - 13*n - 7. What is d(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(3 - -12) + 0. Which is the biggest value? (a) y (b) -5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*v + 50 = 0, 22 + 3 = 5*v. Solve 6*x = x + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.46 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4872 and 1628466.\nAnswer: 6513864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(h + 2*h - h) + (5*h + h - 3*h)*(1 + 2 - 1) - 3157 - 681*h + 3157.\nAnswer: -679*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 5*m + 10. Let a be u(7). Suppose -5 = 5*z + 5, y - 8 = 4*z. Is y greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -730.54 and -500?\nAnswer: 365270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 2519?\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 - z**4\/12 + 5*z**3\/3 + 5*z**2. Calculate the remainder when b(9) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s**(-3\/2)*s**(1\/3)\/(s**(2\/3)\/s))**(-24\/11) assuming s is positive.\nAnswer: s**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 - 19)\/((-2)\/18). Let c(k) = 12*k - 108. Let i be c(p). Suppose -2\/5*f**4 + 0*f + 0*f**2 - 2\/5*f**5 + i + 0*f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 2*j**2 - 7*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/(748\/(-102))*-6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1352 in descending order.\nAnswer: 1352, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11808 - -11812. Determine f so that 2\/15*f**k + 0 + 4\/15*f - 2\/5*f**2 + 0*f**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*b, 0*b - 3*f - 16 = b. Let p be (-9)\/b + 6\/(-24). Solve 4*z = p*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -5 - (3 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*d + 10 - 4, -2*v + d + 4 = 0. Solve 2*o + 5 - v = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7381 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1336369535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 29 = 2*q, -5*q - 3*a - 3 - 2 = 0. Solve 0 = -5*c - 4*m - 1, 2*c - 7*m + q*m = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29240?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-5 + 2 - -6) - 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0. Let r = 27.98 - 0.98. Let u = r - 25. Which is the nearest to w? (a) 1\/4 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -424\/1035 + 2\/207. Let o(j) = j - 1. Let y be o(0). What is the fourth smallest value in y, k, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893 - 25733 = -647*h - 273*h. Solve -5*l + 20 = -o, -4*l - 11 + h = 4*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h - 7*h**3 + 12*h + (30*h**2 - 24*h**2 + 24*h**2)*(-2*h + 4*h - h).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42358*u**5 - 17*u + 421 wrt u?\nAnswer: -847160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + l + l = -445, -4*a - 3*l = -1802. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 2583 = 15*z. Find the third derivative of 372 - 76*m**6 - 158*m**2 + z - 739 wrt m.\nAnswer: -9120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -2, 29 in decreasing order.\nAnswer: 119, 29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22192531 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbp when four letters picked without replacement from {t: 4, n: 1, b: 5, p: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 1166\/(-385) + 11)*2\/1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -1666. Does 71 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61333562 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022098 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94\/(-9) + (63 - 53))\/(6 - -4)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17711*a**2 - 17716*a**2 + 31*a + 35430*a**2.\nAnswer: 3*a**2 + 31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 1800*k**3 - 10688*k**2 - 14208*k.\nAnswer: -4*k*(k + 2)*(k + 4)*(k + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633868.5 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4 + 21*w**3 - 24*w**2 - 48*w = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 19. Let j(a) = 1. Let w(t) = -15*t + 12. Let v be w(-6). Let f(z) = v*j(z) - 6*d(z). Find the first derivative of f(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364535 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96099 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 946621333 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*n - 260, 2*c - 2*n - 256 = n. Suppose -4*h - 160 = 4*h. Let o = c + h. Calculate the greatest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21108636 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**5 - 2*l**2 - 65*l + 1. Let x(y) = -5*y + 1. Let h(q) = -a(q) + 6*x(q). What is the second derivative of h(n) wrt n?\nAnswer: 20*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10948 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4516 = -32*b + 4068 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 12*v**2 - 27*v - 64. Determine f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341 - -349 - ((3 - 2) + 68).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041992 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 40\/3*s**3 + 1\/12*s**4 + 2*s + 800*s**2 + 3. Let o(r) = 0. What is r?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -2*x + 72. Solve 3*h + 5 = 4*w, 5*w + x = -2*h + 44 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 4*x**2 + 4*x - 2. Let o be (-1)\/(((-3)\/(-2))\/(-3)). Let d be f(o). Let i = d - 4. Solve 2*j + i = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1216) + (sqrt(1216) - (-5 + sqrt(1216))) + (sqrt(19) + sqrt(304) + -2)**2 + -5)*-6.\nAnswer: -2904 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/4)\/((-1537)\/58 - -25))\/((-8)\/(-912))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1becd (base 16) in base 14?\nAnswer: -2d981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -121 - 284. Let f be ((-8)\/(-10))\/(9\/r). Sort 1, 19, f in ascending order.\nAnswer: 1, f, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001 (base 2) to base 3\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/7)\/q**(-5)*(q**0)**(-15\/8)*((q*q*q*q\/(q*q\/(q**0\/q)*q))**(6\/5))**(-14) assuming q is positive.\nAnswer: q**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s + 2*w, 2*w = -7*s + 2*s + 7. Suppose s*x - 23 = 58. Suppose g - x = -2*j, -4*j + j + 21 = -5*g. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-24)*3\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 1. Let b(y) = -2*y + 1 + 1 + 5*y**2 + 1. Let r(k) = -b(k) - 3*j(k). Determine d, given that r(d) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119105 = 47*a - 12*a. Calculate the remainder when a is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-378)\/11544) + (-4)\/(-18). Let i = v - -77. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2058 - b**2 + b - 2058 + 14*b**4 + 2*b in the form i + u*b**4 + l*b**2 + c*b**3 + m*b and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7*c - 3*c - 24 = 0, -4*c + 8 = -y. Let v(s) = -s**3 + 4*s**2 + 2*s - 4. What is v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 187, 1\/4, 0.5, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 8*o - 9. Let d(b) = 3*b + 25. Let l be d(-11). Give i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171168 or -171176?\nAnswer: -171168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 + -0.8. Let k = 240 + -255.9. Let n = k + p. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2\/t*t\/t**13*t)**(4\/3)*((t**(1\/4)*t)**(-4\/15))**(-3\/16) assuming t is positive.\nAnswer: t**(-191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.7686 months to decades.\nAnswer: 0.806405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-2 + -4 + 9)*(-53)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50633102 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 1000799382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 11:28 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/12 - 211*f**2\/6 + 2338*f - 34704 = 0.\nAnswer: -482, 24, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((-212)\/(-220) - 1). What is the closest to 1 in 0.1, 1\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a - 9. Let l be p(9). What is the third derivative of l*u**2 - 6*u**5 + 3*u**5 - 5*u**2 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12650440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6291968 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 2*h, -h = 2*j - 6*h - 13. Suppose -j*o - w = 4*w - 5, -4*w - 22 = -2*o. Calculate the remainder when 13 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 5*x**2 - 11*x + 6. Let g be q(7). Let k be (-5 - -6)*-2 - -137. What is the highest common divisor of g and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 67, 103, 149, 205, 271?\n\"Answer: 5*x**2 + 11*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 744 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3808 and 728.\nAnswer: 49504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.099655 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/3673 (b) -122 (c) -2\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 19971*y - 19972*y - 49)*(5*y**4 + y**4 - 3*y**4).\nAnswer: -3*y**5 - 141*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (2 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lnlllvvvnvnnvvlvv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {y: 3, m: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 22928*w\/3 - 22924\/3.\nAnswer: -4*(w - 5731)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 12768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 - 7*p + 1. Suppose 4*q - 30 = -q. Let k(o) = o**2 + o. Suppose 5*h - 3*t + t = -93, 16 = 4*t. Let l = 18 + h. Give l*i(a) + q*k(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (0 + -2)*-2 + -3 + 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18523\/349 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 355.2283mm?\nAnswer: 0.0003552283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a. Let k = -19 - 75. Let z = k + 97. Calculate c(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - u + 2*u + 2141 = 0, f - 3*u = 1083. Let r = -467 + f. List the prime factors of r.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*x + 2*z, 0*z = 5*x - 3*z - 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 21 - 3 = 5*r, 5*v - r + 18 = 0. Let c be v\/9 + (-232)\/(-264). Is -2 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-1 - 1))*90. Let w(q) = -2*q - 2. What is the remainder when ((-14)\/(-6))\/((-15)\/p) is divided by w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(88)\/sqrt(288) + -3)**2.\nAnswer: -2*sqrt(11) + 1307\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 32*o - 12. Determine g(7).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -20818400\nAnswer: -10409200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*i + q - 1891, -3*i - 3*q + 1434 = 0. Let o = i - 447. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2)*m)\/m)\/m**0)**29 assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6308130 divided by 3?\nAnswer: -2102710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2028*q + 2029*q + 4 = -c, 5*q + 8*c = -29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**3 + 6*n**2 + 10*n - 2. Let r(m) = 5*m**3 + 3*m**2 + 5*m - 1. Let h(c) = 13*r(c) - 6*w(c). Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-24)\/(-18)) + 858\/(-52).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (109224\/(-2665) + 41)*-26\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = -0*b - 4*j, 3 = -b - 5*j. List the prime factors of b + (-118)\/(-3)*3.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/10005 - 212\/14260.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1560 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0055 + -0.00550621. Round q to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = 5689495*k - 5689498*k + 84, -2*s - 4*k + 4 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 869189*c - 5215133. Give z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 594182*a - 17. Let k(l) = l. What is k(y(i))?\nAnswer: 594182*i - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*x**3 + 19 - 19.\nAnswer: -424*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4.2 (c) -0.3 (d) 2\/29 (e) -1 (f) 151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -24*l + 69 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 18, -54, -166, -324, -534, -802, -1134?\n\"Answer: -z**3 - 11*z**2 + 2*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-30) - (-602)\/210. Suppose -z*x = -4*n + 986, -5 + 1 = 2*x. What is the highest common factor of 35 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/5, -1226.5, 2, 2\/11 in descending order.\nAnswer: 2, 2\/11, -0.1, -1\/5, -1226.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189407?\nAnswer: 189407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Let w be (-3)\/(g + (-5)\/2). Let i(z) = 4*z - 6. Let u be i(2). Is w at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (-3*sqrt(200) + 3 + -2 - (5 + 5*sqrt(200)*-2))))**2.\nAnswer: -15680*sqrt(2) + 157584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/518 and 58\/797979?\nAnswer: 1595958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2731 times -3\nAnswer: -0.8193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 423 = -4*x + 3*x + 81*j - 2, -6*j - 15 = -4*j - 5*j for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 + 9420\/5)*5\/5 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184839.\nAnswer: 3, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76673528.\nAnswer: 2, 2879, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 28 - 26, 0 = 5*t - 5*x - 90. What is the greatest common divisor of 1159 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 1, z: 2, x: 1, s: 1, j: 2}. Give prob of sequence zxjs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 14) to base 3\nAnswer: 21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2055 - -10366. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90040776 take away 77?\nAnswer: -90040853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -20292.684 to the nearest ten.\nAnswer: -20290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r - 4*r + (-3 - 4 + 6)*(3*r - 3*r - 3*r) + 16*r - 5*r + 11*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451437*t**3*z - 71*t**2*z + 34*z - 12 wrt t?\nAnswer: 2708622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.296983 + -0.8?\nAnswer: -1.096983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -0.0202 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/18)\/(2\/56). Let x be (-56)\/(-49)*m\/(-4) - -2. Solve -9 = x*c - 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1460250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 1450*f - 105125.\nAnswer: -5*(f + 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39*-2*(-3)\/9. Suppose -3 = -3*k + s + 10, -w = -4*k - 3*s. Suppose 2*n - k = r, -4*r = -6*n + 3*n + 20. Solve n = -0*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*d - 7*d - 3*d)*(2*d**3 + 9 + 10*d**2 - 10*d**2) to the form u*d + p*d**4 + a*d**3 + i + h*d**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - (-18)\/4. Suppose -h*t + 18 = -5*w - 8, -w = 5*t - 18. Suppose -4*d + 343 = -m, -5*d = -t*m - 222 - 215. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13 - (-13 - -9))*-2)\/((-20)\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 6*n - 3*n + (-n + n - n)*(-5 + 3 + 0) + 1 - 1 - 3*n)*(4 + 2*n - 4)*(-3 + 6 - 1)*(-5 + 1 + 1) in the form g + q*n + p*n**2 and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 492 = 4*z - 4*m, 0 = -4*z - 5*m + 478. Suppose -5*k = d - z, k + 16 - 42 = -d. Calculate the greatest common divisor of 18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012987 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 378505 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h + 2760 = 185*h. Solve -5*u - 23 = -4*g, -17*g + h*g = 2*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 4*y - 10. Let h be n(-4). Let q = 11 + h. Let t be q*(-40)\/(-12)*-34. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270.17 - -270. What is the third smallest value in 12, p, 0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) -1\/162648 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 30 = -32*k. Let t(l) = 0 - k*l - 20*l + 3 - 3*l - 4. Give t(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 83 + 135 = 0. What are the prime factors of s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**(-2)*t)\/t*t)*t)**(2\/27)*(t*(t*t**(-2\/31)*t)\/t)\/t*(t**8\/t)\/t assuming t is positive.\nAnswer: t**(6053\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0, 27, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m - 11. Let a be (-2)\/(-2) + -2 + 4. Suppose -k - 9 = -a*b, 18 = -5*k + b - 27. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*j - 15*j + 14*j as u + b*j and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.134951 + 0.4\nAnswer: 0.265049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + o**3 + o**2 + 1 - 2*o**3 + 13017*o - 13072*o in the form r*o**3 + g*o + x + q*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117523 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.024 - 12.524. Let w = -12.4 - t. Which is the closest to -2\/5? (a) w (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54710466.\nAnswer: 2, 3, 9118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 3153 + -3163 + (11 - -24 - (-1 + 1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.1 - 2.1. Let d = g - 11.07. Let t = d - -0.0699991. Round t to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 58*o**2 + 7*o**2 - 4*o**2 - 62*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1413 - 1208. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*m = b, 9 = -3*b - 3*m. Let y(i) = -i**2 - 6*i + 3. Let z be y(b). Let k be 2\/z*3 - -2. Solve 2*x + 0*x = -k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) -12 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 - 1765*w**2 - 395054*w\/5 + 80776 = 0. What is w?\nAnswer: -8780, -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*v**3*y**2 + 717*v**3*y - 192*v*y**2 + v + y wrt y?\nAnswer: -488*v**3 - 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013400744 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55 and -3255374.467?\nAnswer: 3255319.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/(-15))\/(9\/(-30)). Let x be (-1)\/36 - b\/(-54). Put 1\/2, x, 0 in descending order.\nAnswer: 1\/2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3 + 0 + 201104661*y**2 - 201104653*y**2 + 3. Let b(m) = -3*m - 2. Let c(r) = 6*r + 5. Let h(f) = 5*b(f) + 2*c(f). Give d(h(x)).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1855527546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwwwrw. Give prob of sequence rv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3858 - 154283\/40. Let y = v + -3\/10. Let s = -40829\/140 + 2032\/7. Find the common denominator of y and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 347*x + 3469. Let q be b(-10). Let y(w) = w + 3. Let g be y(0). Let s(k) = -k. Let z(r) = -r - 3. Give g*s(j) + q*z(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let f(v) = v**2 - 2*v - 6. Let x be f(b). Let g = x - 11. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119.55*-147.\nAnswer: -17573.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*g - 257*g + 250 = -137*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5 - 1. Suppose 2*d - i*g - 91 = 25, 0 = 5*d - 4*g - 295. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3422 and 1450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.7 + -37. Let d = -3.70000114 + r. What is d rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12182 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.06, 1\/3, -333, 15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:55 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28232449877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 585200 and 18480?\nAnswer: 1755600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = g + 87, -j = 3*j - g + 81. Let o = -18 - j. Let l(a) = a - 8. Let u be l(12). Solve -u = 5*v - h + 1, -o*v - 15 = -3*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4d8 (base 14) to base 3\nAnswer: -1100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12552\/(-3661))\/(((-12)\/28)\/(-1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461468236.\nAnswer: 2, 115367059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1551932360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, k: 1, a: 2, i: 1, v: 3, h: 2}. What is prob of sequence vaak?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9950 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 10. Let l(k) = -3*k + 11. What is 4*l(b) - 5*w(b)?\nAnswer: 8*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17*20\/1190*1. Find s such that 0 - m*s**2 + 0*s + 8\/7*s**3 - 6\/7*s**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 8098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382694 is divided by 117.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332310 and 332310?\nAnswer: 332310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 203, 229, 257, 281, 295?\n\"Answer: -r**3 + 7*r**2 + 12*r + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/4410 and -97\/11580660.\nAnswer: 11580660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/48)\/(4\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*f = 4841 + 443657 + 925794. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -10?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2049736 - 72*x**2 + 437*x**2 - 2049736.\nAnswer: 365*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.1 - -19.432. What is o rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 6. Let r(m) = m**2 + 2*m - m - m + 3*m. Does 5 divide r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(1872) + sqrt(208)\/sqrt(4)*-3).\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 551*t**2. Let l(v) = -26*v. What is l(p(h))?\nAnswer: -14326*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-33) + (-1530)\/(-55). Solve -4*p - l = -11*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 340 = 346 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {a: 4, t: 5, b: 1, d: 5, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose 0 = -2*g - 0 - 2. Suppose -b + 26 = 5*c, -3*b - 4 + 2 = -c. Sort a, b, g in ascending order.\nAnswer: g, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*p + 1496*p + 1289*p + 215*p - 363*p to n*p + g and give n.\nAnswer: 2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-7))\/c**11)\/(c**(10\/3)*c**9\/c) assuming c is positive.\nAnswer: c**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - 0.06. Suppose -230 = -3*d - 5*m, -3*d + 8*d + 5*m = 380. Let r = 377\/5 - d. What is the second biggest value in t, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38478 + 58362. What are the prime factors of j?\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420359420.\nAnswer: 2, 5, 13, 19, 85093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144 - 121 - (-2 + -6121)?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 467*a**5 - 2*a**4 - 2056*a**2?\nAnswer: 28020*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 3 - (-12 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 14*s**2 + 30*s + 37. Let t be n(11). What is the second derivative of 154*v + 3*v**t - 4*v**4 + 4 - 3*v**3 - 2 - v**3 - 123*v wrt v?\nAnswer: -12*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*t**2\/13 - 6*t\/13.\nAnswer: 2*t*(19*t - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -4) - (-1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 31*s - 53. Let n be a(29). Suppose 709 - 184 = n*u. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 797 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b + 18. Let t(p) = -p - 1. Calculate -q(h) - 8*t(h).\nAnswer: 2*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -10 (c) -0.01472 (d) 44 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/711 less than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u + u**2 + 228*u - 99*u - 82*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4272 divided by -24.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, 8*s - 3*s - 3*v = 0. Is 3\/11 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1128?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 divided by -55.\nAnswer: -289\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -0.3 (c) 1\/22 (d) 1.2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.3655 minus 1240534?\nAnswer: -1239845.6345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002021111 - -10?\nAnswer: -1002021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -128?\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 3.47.\nAnswer: 1.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.48437 - 0.08437. Which is bigger: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/16*(-2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2 + -1)**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -62. Suppose 3*u = i*m - 3, -2*m = 2*u + 3*u - 11. Let h = m - 0. Solve 2 = n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*o**4 - 18*o**2 + 2 + 16*o**2 as t + r*o + u*o**4 + d*o**2 + k*o**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.42949 months to years.\nAnswer: 2.4524575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8534474349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 38 - 61*y + 32 - 70. Let r(g) = 2*g. What is r(u(x))?\nAnswer: -122*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 254*y + 23. Let r be s(4). Suppose 0 = -4*h + 3*h + r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14039 + 335*w**2 - 14039 - 330*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6375023\/1365 - 23351\/5. What is the common denominator of v and -35\/8?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkbbkjjjbjbjjbj. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let f be b(-6). Let o be 80\/72*-3*f. Solve -3*c = -8*c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 635, 1464, 2665, 4262?\nAnswer: 6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1051*o**2 - 1038*o + 2 wrt o?\nAnswer: -2102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9072))\/(sqrt(9) + sqrt(225)*-1) + (-4 + (sqrt(7) + -1 + sqrt(7) - sqrt(7))*-3)**2*1.\nAnswer: 3*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -1\/20*p**4 - 9\/5*p**3 - 51\/10*p**2 + 0 + 61*p. Factor v(k).\nAnswer: -3*(k + 1)*(k + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 2. Suppose -4*b - 12 = -5*p + p, 2*b + 4 = 0. Let k(r) = -4*r - 1. Let g be k(p). What is j(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkikkukllklk. Give prob of picking 1 u and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 25. Let n be (-7)\/(-28) - 21\/f. Suppose n = 2*y - 66. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 0 + 0 + (5 - 2 - 2)*(-2*d + d + 0*d) - 3934 + 3934 + 208*d to the form k*d + j and give k.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 729*d - 723*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -956 and 0.16.\nAnswer: -152.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 601174438703662 + 601174438703662.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/5 - 44653*m**2\/5 - 9166691*m\/5 - 471538223\/5 = 0 for m.\nAnswer: -44447, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383, 13, 4.\nAnswer: 4, 13, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364 = 4*p - 1504. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307150\/9740133 - -16\/44073. Calculate the common denominator of -10\/21 and t.\nAnswer: 13923","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 19 = -3. Suppose -3*y + y + k = 0, -1032 = -5*h - y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.9304386 weeks?\nAnswer: 6.5130702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((615\/(-1435))\/((-3)\/(-7)))\/((-22)\/60).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4134159?\nAnswer: 3, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15988756 - -2)\/3 + -2. Let z = 740102 - w. Let n = z + 2869482. What is n rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12746.91um?\nAnswer: 12.74691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t. Suppose 2*a - 14 = 2*g, -2*g - 2*a = -5*a + 16. Sort -4, t, g.\nAnswer: g, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31694, -63398, -95114, -126842, -158582, -190334, -222098?\nAnswer: -253874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 850\/(-408)*(-12)\/(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*b + 73 = 0, -712*b + 108 = 4*s - 720*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 110 = 2*u. Suppose -5*b = -3*a + 90, b + 0*a = -2*a - 18. Let i = b - u. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 5*m**2 - m - 13*m**2 + 7*m**2 to i + c*m**2 + f*m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 7. Let r be c(-4). Solve -5*h - j = 19, r*h + j = -0*h - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 226*b + 7286. Give k(43).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -228, -426, -624, -822?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 2}. Give prob of picking 2 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 7*w = 9. What is the units digit of (-6)\/w + 1325\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -622? (a) 1.85 (b) -0.9 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68112599*y**3 + 288*y**2 + 421*y + 3 wrt y.\nAnswer: 408675594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 - -3.4. Which is the third smallest value? (a) q (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:50 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*-21 + 2. Let f be 114\/t*6\/4. What is the highest common factor of 76 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/16 + c**5\/20 + 33*c**4\/16 + 9*c**3\/2 + 559*c**2. Determine v, given that k(v) = 0.\nAnswer: -2, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/35)*g*g*g)\/g*g)\/(g\/(g\/(g*(g\/g**(12\/11)*g)\/g*g)))*(g**(1\/27))**(-12))**(-11\/3) assuming g is positive.\nAnswer: g**(-5606\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -1007, -1689?\nAnswer: -2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -2. Let i(y) = -y**2 + u - 4. Let m(g) be the first derivative of 2*g**2 + 1. Calculate m(i(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 42, -3, -1 in decreasing order.\nAnswer: 42, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(378)\/sqrt(7)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 141*k - 2416. Determine t(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112, 210, 308, 406, 504?\n\"Answer: 98*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2451230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 910532, 910537, 910542, 910547, 910552, 910557?\n\"Answer: 5*a + 910527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*b. Let v be (-1 + 3 + -1)\/b. Let d(a) = 1. Let s(k) = -14*k - 7 + 10*k + 5*k. Determine v*s(o) - 5*d(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-53 - (16 + -39))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k - 4. Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405027113?\nAnswer: 2405027113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/8 + 19*y**3\/3 - 17*y**2 + 1. What is the least common multiple of 44 and b(-10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*p + 18*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 477?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*g - 10, o + 4*g = -2 - 12. Suppose -5*j = -3*j + o*j. Solve -5*l - 4*i + 14 = j, 3*l - 3*i + 0*i = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:30 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 257755*p**3 + 257752*p**3 + 2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627786426 - 627786426 + 7061*m.\nAnswer: 7061*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214956, -214923, -214830, -214647, -214344, -213891?\nAnswer: -213258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5599 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 3169, 6575, 12205, 20809, 33137, 49939?\nAnswer: 71965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/36*4 - (-2562)\/378. Let q(s) = s**2 - 13*s + 4. Calculate q(b).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2 + 10*f. Let q(s) = -7*s. What is u(q(j))?\nAnswer: 392*j**2 - 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/33606332 and -21\/17758.\nAnswer: 436882316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269.589t in milligrams?\nAnswer: 4269589000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - s**4 + 20*s**3 - 20*s**3. Let d(o) = 11*o**5 - 6*o**4 - 12*o**2 - 6*o. Let f(l) = d(l) - 6*y(l). What is the third derivative of f(u) wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0*o**2 + 2\/5*o**3 - 74\/5*o + 168\/5 = 0.\nAnswer: -7, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and 1.3.\nAnswer: 214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9501, -9500, -9499?\n\"Answer: h - 9502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:17 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - 10 = 0. Suppose m*d + 10 = -3*d. Is -3 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 2*f - 1. Let d be p(-1). Let s(j) = j**3 - j**2 + j + 15. What are the prime factors of s(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 + 1. Suppose -2 = -12*a + 10*a. Let k be v(a). Let b(c) = -25*c + 9. Is b(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -3?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:52 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5706\/(-3587172))\/(9\/(-207))?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74\/5 of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502682.8m in millimeters?\nAnswer: 502682800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 32 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17739 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.91676 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7080*y + 1883265. Calculate t(-266).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - a)*(7*a - 3*a - a)*(-3651*a**2 + 183 + 552 + 3648*a**2).\nAnswer: -9*a**4 + 2205*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -122a614 (base 11) in base 14?\nAnswer: -3d8b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318959926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15112844, 30225697, 45338550, 60451403, 75564256, 90677109?\n\"Answer: 15112853*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -35, -84, -163, -278, -435, -640, -899?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 61242?\nAnswer: 122484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*q + 880, 2*y - 1077*q = -1079*q + 448. What is the least common multiple of 74 and y?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 - 10221?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 8925.\nAnswer: -8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7296\/72 - (-4)\/6?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a**2 + a + 2. Calculate x(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 4*k**5 - 5*k**5 - k**3 + (2 - 2 - k)*(-2*k + 2*k + 3*k**4).\nAnswer: -4*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + b - b + (2 - 2 - 2*b)*(-2 + 1 + 3) + 286 - b - 588 - 525.\nAnswer: -2*b - 827","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let q(d) be the first derivative of d**2\/2 + 21*d + 77. Determine o(q(k)).\nAnswer: 2*k**2 + 84*k + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 2\/9, 1\/8, 4\/5, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 82.397439ns?\nAnswer: 0.0000000000228881775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.5, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1713597 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by -82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:34 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 67*v - 1024*v + 27655 = -4169 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.57396 nanometers in micrometers?\nAnswer: 0.08557396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(65))\/(sqrt(60)\/(sqrt(192) - sqrt(12))).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8559844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(2 - 1 + 0)*((-1 + 2 - 2)*(30 - 3*z - 30) - 15*z + 37*z - 14*z).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/224 + (2\/16)\/1. Let x(b) = b**2 + b - 7. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*p + 4 = 4*p, f - 5 = p. Solve 0 = -4*a - 2*u - 4 - 6, 4*a + 7 = -f*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20578 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19. Suppose -i = -2*v + k, v + 0*v - 11 = 5*k. Let m = 13\/4 + -3. Which is the closest to v? (a) -0.1 (b) -2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -160831, 2\/19, -1\/97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4 + 716*f**3 + 12399*f**2 + 45526*f - 58640 = 0.\nAnswer: -10, -8, 1, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -101606, 0, -212 in decreasing order.\nAnswer: 0, -212, -101606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-3 + 1)\/(-12)). Let w be (-32)\/p - 3\/9. Solve 2*u + w = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -85, -81, -75?\n\"Answer: j**2 - j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/120 - 7*s**5\/60 + s**4\/12 - s**3\/2 + 2*s**2. What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11272?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28352714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1\/4)*g)**(-1\/6)*(g**1)**18 assuming g is positive.\nAnswer: g**(421\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3304 (base 5) to base 15\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1926, 1895, 1890, 1923, 2006, 2151?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9535 + -0.0465. Which is the second smallest value? (a) h (b) -1 (c) 9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156)*1)\/(3*sqrt(972)) + -5 + (sqrt(91) + sqrt(91) + (sqrt(91)*-1 + sqrt(91) - sqrt(91))*-6)\/(sqrt(7) + (sqrt(112) - 1*sqrt(112))))**2.\nAnswer: -730*sqrt(13)\/9 + 71302\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/70*b**5 + 0*b + 1\/28*b**4 + 1\/21*b**3 + 1\/420*b**6 + 0 + 2*b**2. What is o in x(o) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -4 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = -16, 3*n + 2*r = -2. Let z be 2*(2 + 2\/n). Let g(a) = -a**2 + 6*a + 3. What is the units digit of g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 656 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*c**2 - 164*c**3 - 7904 + 41*c**3 + c + 78*c**3 + 48*c**3 wrt c.\nAnswer: 9*c**2 + 374*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*c + 5, 5*w = 3*c - 3 + 28 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l - 1. Let o(s) = -4*s**3 - 4*s - 6. Suppose 3*f = -0*f + 6. Determine f*o(x) - 10*t(x).\nAnswer: 2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -161?\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - 5. Suppose 0 = -2*z - w*z + 24. Let s(g) be the first derivative of -g**4\/4 + 7*g**3\/3 - 3*g**2 - 5*g - 66. Give s(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/53, -2, -0.1, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7565 + -7560. Solve -f - 17 + 18 = p*l, 5*f + 20 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -355 - -234. Is -121 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*l = 3*n + 131*l + 12, -5*n - 2*l = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**7\/105 + q**5\/15 - q**3\/3 + 3*q**2\/2 - 3. Let o(c) be the second derivative of n(c). Find j, given that o(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908 is divided by 1332.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -32*v - 2. Let o(b) = 32*b + 1. Let g(w) = 3*n(w) + 4*o(w). What is the units digit of g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 18 = 24. Suppose 0 = l + b + 49, 46 = -l - 3*b + m. Let g = l + 117. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 9. What is r(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 6.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, z: 1, d: 1, r: 2, h: 1}. What is prob of picking 1 r and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3059 + -1997531\/12236. Let v = 164 + l. Calculate the common denominator of -151\/6 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1605, -1768, -1943, -2136, -2353, -2600?\n\"Answer: -x**3 - 156*x - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 + -100?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 2\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.94308 nanometers in centimeters?\nAnswer: 0.000009094308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -27. Suppose b*n = 5*n + 52. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - 76\/18. Let y(l) = l**3 + 4*l**2 - l - 3. Let o be y(v). Let x = 2481.4 - 2481.3. Which is the nearest to o? (a) -1\/5 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 215802625, 1, 5 in decreasing order.\nAnswer: 215802625, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y + 14*y + 1744 - 8944 = 0. Let b = -60 - -418. Calculate the remainder when b is divided by y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14003619*v**2 + 1228784?\nAnswer: 28007238*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(352)*-1)\/sqrt(8))\/sqrt(4)*-4 - (-5*(sqrt(110)*-1 + sqrt(110)))\/(-2*sqrt(1210)))*-4)**2.\nAnswer: -128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5419378*v**3 - 3*v - 2554504 wrt v?\nAnswer: -32516268*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 137? (a) -0.1 (b) 3.1 (c) -1\/8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i - 756 + 3*i**2 - 16*i**2 - 3*i**2 - 18*i**2 wrt i.\nAnswer: -68*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 + 0.49. Let r(c) = -c - 3. Let k be r(-1). Let h be (24\/10)\/k*2\/(-3). Sort j, h, 0.1.\nAnswer: 0.1, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1936\/64 + 1\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 449400402 times -4\nAnswer: -1797601608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2389686 is divided by 587.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-2)\/12*-9). Let l be z\/(85\/(-10)) - (-7507194)\/51. Round l to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 2*z**2 - 6*z + 3. Let r(a) = 2*a**3 + a**2 + 5*a - 2. Let t = 370 - 368. Determine t*j(s) + 3*r(s).\nAnswer: 2*s**3 - s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let x(o) = -33*o**3 + 2*o**2 - 4. Let q(s) = -2*a(s) - x(s). What is the derivative of q(p) wrt p?\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86412b (base 12) to base 16\nAnswer: -2061b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005325 * -11.17.\nAnswer: -0.05948025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50505 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 867140\/27122 + -2*16\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -45*c + 471. Let w be o(10). Solve -49 = w*v + 56 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 3. Let z(x) = -x - 4. Let f(d) = -5*b(d) - 4*z(d). Let q = -4781 - -4777. What is f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - 0 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/(-17 - 42\/(-2)) - -20. Suppose q - 5*d = -14, 3*q + 10 = -d - 0*d. Let r(n) = 7*n**3 + 3*n. Let l(a) = 8*a**3 + 4*a. Give o*l(h) + q*r(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -1. Let f(d) = 2*d. Let c be f(x). What is the common denominator of ((-3)\/c)\/((-2)\/12) and 89\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 + -140. Solve 5*p - x = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1128100368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*c - 212 = 496 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 - r**2)*(4 - 4 + 3*r**2) - 3*r**4 - 3*r**2 + 4*r**2 + 5*r**4.\nAnswer: -4*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1360 (base 8) to base 14\nAnswer: -3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 57. Let s be i(0). Let f = s + 119\/2. Let m = f + -5. Is -3 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/((-8)\/(-3)) - -4 - 3. Suppose -3*t - 4*o + 28 = 0, 12 = 5*o - 2*o. Let l = 0 - -5. Sort -4, h, t, l in descending order.\nAnswer: l, t, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - k - 2*k - 12, p - 3*k = 3. Factor -4*d - p*d - 10*d**3 - 4 - 18*d**2 + d**4 - 7*d - 3*d**4.\nAnswer: -2*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or -7197\/41?\nAnswer: -7197\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 2 (c) 5 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 107*n = 111*n - 3, k + 4*n = 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491945411 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 60. Let o = -37 + b. Is o 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 -7608, -30451, -68528, -121839, -190384, -274163?\n\"Answer: -7617*f**2 + 8*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369\/1*(-4 - (-448)\/126)*-3.\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -3c?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 8. Let y be 2\/2*6 + 1. Let p(a) = -6*a - 7. Let k(d) = y*p(d) - 6*t(d). Is k(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6*m - 70 = 7*m, 0 = 4*m + 16. Calculate the highest common divisor of v and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 - 65 - 46)*(33 - 13 - 9)*(-c + 4*c - 2*c) in the form j*c + n and give j.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -237 + 219 + (7 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -647753517*h**4 + 421279728*h**2.\nAnswer: -15546084408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14.906544 + -1.05\nAnswer: 13.856544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u**2 + 5*u**2 + 6*u - 4*u**2 - 15. What is the remainder when 19 is divided by s(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 969 divide 58591594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r - 11. Let w be l(1). Is (w\/(-14))\/((-34)\/14247394) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183.6 + 195. Let h = f - 11.4000552. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -256088.\nAnswer: -256088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = 8*z - 816 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2348144\/411 + 17140\/3. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361 + -360. What is the remainder when (12\/15)\/o*(-1110)\/(-12) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 - 3*m - 2. Let x be n(-2). Suppose -5*k - 5*h + 9 + 1 = 0, 2*k + 5*h = -2. Solve 2*f + f + 8 = 4*c, x*c - k = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.944557 hours?\nAnswer: 28600.4052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 1369*l**3\/6 + 1963*l**2\/2 - 16*l - 14. Differentiate q(c) with respect to c.\nAnswer: 1369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 - 369.9. Let c = y + 15. Is 2\/7 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255123691 minus 322?\nAnswer: -255124013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 716191 = 41293. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209\/1*116\/(-1276).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-15)*v*v**(-2\/7))**(-14) assuming v is positive.\nAnswer: v**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -13. Suppose -b + 5 = -z. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + 3*j**2\/2 - 4*j - 3. What is the remainder when a(7) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43228 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + -2 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(126) + -2*sqrt(126)))\/((sqrt(77)*-1)\/sqrt(11)))\/((sqrt(162)\/sqrt(27))\/(sqrt(1089)*-2 + sqrt(1089) - sqrt(1089) - sqrt(9))))**2.\nAnswer: 228528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140483500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/3 (b) -4 (c) 0 (d) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3462, -27864, -93992, -222708, -434874, -751352, -1193004, -1780692?\n\"Answer: -3477*c**3 - c**2 - 60*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/346 and 13\/15568554.\nAnswer: 2693359842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -9*j**4\/4 + 7*j**2 + 3. Let k(w) = -3*w**3 + 5*w. Let u(t) = -4*d(t) + 11*k(t). Find the second derivative of u(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -16, -1, -976213 in descending order.\nAnswer: 4\/3, -1, -16, -976213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 1547, 3103, 4659, 6215?\nAnswer: 7771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -319*t + 317*t - 8, -5*m + 30 = -5*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1210 (base 9) to base 10\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 645 - 3346?\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5*k + 565*j**3*k + 153*j**2*k - 6*k wrt j.\nAnswer: -180*j**2*k + 3390*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 4*t**2 + 12*t**2)*(-22 + t + 23 - 10).\nAnswer: 14*t**3 - 126*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/29, 1\/67911?\nAnswer: 1\/67911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 135*x**3 - 67*x**2 + 267*x - 7. List the prime factors of f(4).\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1103*x**2 + 563*x**2 + 37 + 561*x**2 in the form y*x + o*x**2 + b and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8389200 rounded to the nearest 100000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1846034800 times 3\nAnswer: 5538104400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 - 7*n - 9. Let d be o(-3). What is the tens digit of -1*(-9 + 10) + d*251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143)\/(sqrt(11)*2) + -1))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1225432038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 + 3*o + 7. Let t be u(3). Let b = t - -4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*3)\/sqrt(5))**2*-4 + (sqrt(1700) - (sqrt(1700)*-1)**2) + 5.\nAnswer: -2307 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + (sqrt(13) - (sqrt(104) - (sqrt(104)*1 - sqrt(104)))\/sqrt(8)) + 3)**2 + 2)*2 + 0.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 33 = 32. Suppose -x*b + 5*b + 360 = 0. Let a = b + -47. Sort -2\/13, 0.3, a, 1.\nAnswer: a, -2\/13, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -26*k**3 - k**2 + 2*k - 2. Suppose -3*q + 3 = -0*q. Let i(u) = u**3 - u**2 - 1. Let a(c) = q*z(c) - 2*i(c). Factor a(h).\nAnswer: -h*(4*h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1916629194 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - q**3\/3 + q**2 - 3*q + 3. What is the remainder when 51 is divided by b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, 0.4, 12960.\nAnswer: -20, 0.4, 1, 12960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98797 or -14325756\/145?\nAnswer: -98797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-490)\/(-84) - (-14)\/4?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 2*k. Let s(t) = 4984*t - 8. Give r(s(m)).\nAnswer: 99361024*m**2 - 309008*m + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-21)*240\/(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*b**2 - 1 + 2*b**2 - 2*b**2 - b**2 + (-4*b + 4*b + 2*b**2)*(-3 - 1 + 6) - b**2 + 5*b**2 - b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:16 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 13 = 4*m, -10*m = -12*m - j - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7197*u - 7071. Determine v(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-3628854.7981988\nAnswer: -3628854.8981988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3695, 5447, 7199?\nAnswer: 8951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119787129?\nAnswer: 3, 7, 11, 172853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -99, -95, -91, -87, -83?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2691 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01885 times 5\nAnswer: 0.09425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y, 2*z + 5*y - 848 = 9*y. Suppose -k = 8*k - z. What is the highest common divisor of 64 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*l - 3. Suppose -3*v + 2*v = -60. Suppose -3*k = 4*j - k - v, -4*j + 5*k + 32 = 0. Calculate the greatest common divisor of j and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86988 and 150.\nAnswer: 2174700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80861\/21966 - -294\/523. Let n = j - -16\/3. What is the common denominator of -55\/18 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -2*g**2 + 27. Let d(i) = -i. Determine d(x(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-624) - 171\/689. Let v = -68\/159 - i. What is the closest to 0.1 in v, -31, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4338 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 106*i - 436. What is n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 52076.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 2*k**2 - 128*k - 365. Calculate f(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -402743846427823+-0.1\nAnswer: -402743846427823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1701\/(-1890)*2\/((-126)\/15). Let w(f) be the first derivative of 0*f - 1\/7*f**3 + 0*f**2 + 14 - 3\/35*f**5 + j*f**4. Factor w(k).\nAnswer: -3*k**2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-18)\/6 - 694 - -2. Let f = 1391 + v. What are the prime factors of f?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + n**4 - 6)*(3*n - n + 2*n)*(-3 - 4 + 6).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 895*d*v**2 + 102*v**2 wrt d.\nAnswer: 895*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 - 337. Solve -7*h = -c*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-51))\/((-25090)\/5018)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93128065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9024.7 - -9025. Which is the fourth smallest value? (a) t (b) 5 (c) -3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(1\/5))**47 assuming o is positive.\nAnswer: o**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*d - 12 = 0, -4*g - 7*d - 36 = -12*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31672*d + 33727*d - 60449*d to o*d + j and give o.\nAnswer: 4950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -222521?\nAnswer: 223024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -69) + -1 + 37 - 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-4 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-18)*-4 + (-190)\/(-45). Suppose -5*k + 5*g = -15, 3*k + h*g + 14 = 6*k. What is the common denominator of (-14)\/40*2 - (k + 2) and 119\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -374680*t**2 - 415148500 - 6308094*t + 192*t**4 - 1108*t**4 - 4*t**5 + 55524794*t - 60856*t**3.\nAnswer: -4*(t - 13)**2*(t + 85)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104, -261, -486, -779?\n\"Answer: -34*y**2 - 55*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.5 - 23.5. Let t = 19 + y. Let f = 2 + -1.9. Which is the third biggest value? (a) 6 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-6 + 9)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-85)\/(-25) - 15\/5)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*g + 360, -2*o - 4*g - 73 - 89 = 0. Let k = 679\/9 + o. Is k less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -3572, -11758, -27526, -53366, -91768, -145222?\nAnswer: -216218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21033 - 532024?\nAnswer: -510551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19686, -19784, -19882, -19980?\n\"Answer: -98*u - 19588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 0.1, 26\/37 in descending order.\nAnswer: 26\/37, 0.5, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*r - 46 = 0, 3*j + 5*r + 88 - 21 = 0. Let x = 3 - j. Calculate the remainder when 32 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-5))\/z)\/z*z*z)\/((z*z*z\/(z\/(z**(-4)*z*z)*z)*z)\/z)*z**3\/z**(-4) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -30*p**3 - 27*p**2 + 65*p - 13. Calculate m(2).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-66))\/(-19)*60\/(-30)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 100132?\nAnswer: -100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112? (a) 0.4 (b) -2\/13 (c) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 273313 plus -46643351?\nAnswer: -46370038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (0 - 17) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) - ((sqrt(252)*-1 + sqrt(252))**2 + sqrt(252))*-2 - 5*3*sqrt(56)\/sqrt(8).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 9:08 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0642 - 0.4642. Let k = 0.5 + -1.5. Put -2, m, k, 1 in descending order.\nAnswer: 1, m, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 493 + 408. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 46682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 + 159. Suppose -624*q = -635*q - v. Is q > 3\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - 5*o + 3. Let p be b(-5). Suppose 2*s = 5*s - p*r + 750, 2*s + 500 = r. What are the prime factors of (-12)\/(-10)*s\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 5. Let c be x(0). Suppose c*q - 4 = 3*q. Find p, given that 9*p**3 - 8*p**q - 21*p**4 - 29*p**4 - 49*p**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:01 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((13 - 26) + (3 + -17 - 82) + -4)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219296972 = -a + 5*s, -s = -a - 0*s + 219296956. Let b = -339910228 + a. Let l = -53213276 - b. Round l to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522.624 years in decades?\nAnswer: 352.2624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-228)\/1824*12\/2*(-4)\/16\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3170 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 305*y**2 + 30170*y - 2475.\nAnswer: 5*(y + 99)*(61*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 41 - 46*g - 41 to the form q + k*g and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 6*s + 3. Let a be w(-5). Let p be ((-18)\/(-3))\/((-3)\/a). Suppose -2*t = -5*m + 3 - 7, -p*m + 8 = 4*t. Solve t*d + 3*d + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -298, 135, 35 in decreasing order.\nAnswer: 135, 35, 6, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 796 = 76. Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.91 - 1.8. Let u = 0.09 + m. Which is the closest to -3? (a) -4\/5 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -113, -123, -133?\n\"Answer: -10*t - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 l, and 1 t when four letters picked without replacement from owttwoslowtowo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-204)\/(-544) - (-3 - (-436)\/(-32)). Solve 41 - o = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*h - 824 = -1492. Let z(x) = x**2 + 8*x - 3. Let j be z(-8). Let v = -2 - j. What is the greatest common divisor of h and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -45*g + 27*g + 19*g. Let j(k) = -k**2 - 2*k. Let z = 3 + -7. Let q(w) = z*s(w) - 2*j(w). Let h(p) = 9*p**2. Determine q(h(d)).\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9409365 - 14085.66.\nAnswer: 9395279.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 4. Let q = 5 - 2. Let p be a(q). Let v be 6\/((-1)\/((-6)\/4)). Solve 4*t + v = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -885*o - 488?\nAnswer: -885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2.25 (b) 0.2 (c) -2 (d) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 74 = -3*a, 2*a - a + i - 24 = 0. Suppose -1 = -2*g + a. Let z be ((-3)\/10)\/(g\/30). What is the third biggest value in -2, -0.5, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.05 times 5?\nAnswer: 10.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 1 + 1)*(-4*t + 2*t - 3*t + (t - 2*t + 2*t)*(-5 + 3 - 1)).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3 + 24\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 1 - 1)*(-4 + 2 + 4)*(0 + 0 - y + (y + 1 - 1)*(0 - 3 + 2) - 85*y - 62*y - 220*y) + 5*y - 2*y**2 + 2 - 5*y)*(-6*y - 6*y**2 + 6*y).\nAnswer: 4440*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36453608 divided by -9113402.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4637*f**4 - 7*f**3 - 23*f**2 - 15*f + 16.\nAnswer: 111288*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -549, -1045, -1551, -2073, -2617?\n\"Answer: -r**3 + r**2 - 492*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 2\/3*o**3 + 2\/3*o + 2.\nAnswer: -2*(o - 1)*(o + 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-48))\/(2\/4)*14\/(-161).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1614845 divided by 322969.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4231371 (base 9) to base 15\nAnswer: 2eaec1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, -5740, -19686, -47416, -93664, -163164, -260650?\nAnswer: -390856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + (-4 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 + 0*o**3)*(180*o**2 + 309*o**2 - 1393*o**2 + 312*o**2).\nAnswer: -1184*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 2*t**2 + 3*t + 3. Suppose 5*y + 15 = -0. Let p be r(y). Let m(a) = a**2 + 6*a + 2. Let l be m(-6). Sort -3, p, l in increasing order.\nAnswer: -3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07 + 7.73. Let h = 9 - w. Which is the smallest value? (a) h (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-35)*6\/(-4))\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**3 - 7*y + 3*y**3 + 19*y + 2 - 2 + y**3 + (0*y + 2*y - 4*y)*(-y**2 - y + y).\nAnswer: y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37832*x - 37506*x = -2934 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 36*h**2 + 42*h + 76.\nAnswer: -2*(h - 2)*(h + 1)*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -32. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5\/11 (c) -10 (d) -2\/17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**3 - 19628*u**2 - 44236*u - 9832.\nAnswer: 4*(u - 1229)*(u + 2)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2442*k - 2445*k - 1, 3*k + 3*n = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 119647*c**2\/2 - 48823936*c - 9927989862.\nAnswer: (c - 120459)*(c + 406)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1477316558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 93af4 + 1a?\nAnswer: 93b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 475 (b) -0.4 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9364 and (-29)\/((-4930)\/68)*(-1 - -11)?\nAnswer: 9364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 + 0*h**5 - 1\/15*h**6 - h + 0*h**4 + 0*h**2 - 1\/3*h**3. What is the second derivative of j(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1983*d**2 + 1967*d**2 - 3937*d**2 - 6.\nAnswer: 13*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -48*-0.06\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 130*x + 4271. Let o be j(65). Solve -89 - o = 15*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/309 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdvy when four letters picked without replacement from {y: 1, v: 1, d: 1, t: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 4*i**2 + 2*i - 29*i**4 + 30991 + 30*i**4 - 94*i**2 - 31000 to the form u*i**4 + w*i**3 + o*i**2 + z*i + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7821.432nm in millimeters?\nAnswer: 0.007821432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 3. Let s(l) = l + 4. Let q be s(-6). What is the smallest common multiple of (15\/(-10))\/(q\/12) and f(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036053181 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 4. Let t be b\/6 + 4\/6. Suppose -3*c = 3*f - 12, -2*c + 4 = -t*f - 29. What is the smallest common multiple of c and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 12, f: 3, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -38, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 + 61. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k + 16. Give f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 58. Is 44 a factor of x(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (0\/(-1) + -1). Let s be (1 + -3)\/(w\/10). Factor 10*l**4 - 10 + 15*l**3 - 8*l**4 - 15*l + 2*l**4 + 5*l**2 + l**s.\nAnswer: 5*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*r + 64, -r = -r - 3*r + 584 - 536 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*o. Which is the smallest value? (a) 0.1 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3245008 = -5*x, -x + 3*q = x + 1297988. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3832, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-2)\/65*(-1)\/(-16)*-20.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*2\/6 - 2. Let w(s) = s**4 + s**3 - s**2 + 1. Let a(x) = x**5 + 3*x**4 + x**3 - 3*x**2 + 2. Let d(c) = m*a(c) + 4*w(c). Factor d(q).\nAnswer: -2*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -2*z + 2*j, 2*z + 6 = 4*j. What is the third biggest value in -1\/5, z, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 277944?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -111*(2 - 1). Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2 + 82*z - 44. Let i = -5344 + 5357. Calculate j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-8) - 2) + 288920\/(-148800).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 - d**2 - 2*d + 3. Calculate the remainder when (-5)\/((4\/(-22))\/(1 - -1)) is divided by a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.1. Let f = y + 0.4. Let q be 0\/(1 + (1 - 1)). Sort q, -4, f in decreasing order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-2 + -4)) + -19.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15007346143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*r = f + 85, 4*f - r = 144. Is f - 1\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53852 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*r**2 + 22*r**2 + 30*r**2 + 27*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 3902570 (c) 2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * -84.473.\nAnswer: 8193.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 3, k: 4, v: 2, o: 2, q: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2845, 6528, 11893, 19780, 31029, 46480?\n\"Answer: 140*o**3 + o**2 + 2700*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-1 + (3 - 0)). Let t be (-4999998)\/(3\/c) - 2. Round t to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 191.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204656013 = 17*i + 32956013. What is i rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55990 divided by 509\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkrkrrkrlrkkrkkk. What is prob of sequence rrkr?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 293 times -35827\nAnswer: -10497311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2*b - 9. What is the remainder when k(-5) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = x - 369, 0 = m + 268*x - 271*x - 195. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 12 + 2. Let j be ((-4)\/6)\/(f + 32\/(-15)). Solve -5*r - 15 = 4*l, j = -l + 5*r - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d7a (base 15) to base 8.\nAnswer: 14417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0.3, -4.\nAnswer: -4, 0.13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272 + -400?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8869117 grams?\nAnswer: 0.0008869117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 1056200371*k + 2*k**3 - 1056200371*k.\nAnswer: 2*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 35. Let c(k) = k - 34. Let l(g) = -4*c(g) - 3*v(g). Let y be l(16). Let b = 20 - y. Solve b*n - 3*n + 3*t + 10 = 0, n + 5 = -t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.3 (c) -5\/22 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52 and 0.044237?\nAnswer: -2.300324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/11 + 52*m\/11 - 96\/11 = 0.\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from xfxxxxxvxxvvv.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 3*l - 8 - 34, -3*l - 1859*r = -1855*r + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 27 = 4*o + 11, 5*k - 4*o + 46 = 0. Let h(a) = 3*a + 45. Let f be h(k). Solve 5*l + c + 24 = 0, 4*l - c + f = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502228, -502221, -502214, -502207, -502200, -502193?\nAnswer: -502186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2\/7*l**2 - 4 - 1\/2*l**4 + 0*l - 6\/7*l**3. Suppose x(j) = 0. Calculate j.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22675607267 + 247.\nAnswer: 22675607514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20 + 34 + 6*d**2 - 14. Let c(y) = -2*y. Calculate c(z(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u + 2 - 4*u + 0 - u**2 - 3*u**3 - 2*u + 4*u**2 to the form n*u**2 + q*u + f*u**3 + w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 3. Suppose -s - 4*s - 10 = -5*p, -2*s + 6 = 0. Suppose 3*q - p*q = -16. Solve -k - q = -h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r = -56*r + 140. Suppose r*f - 10*f - 870 = 0. Let i = 99 - f. What is the remainder when 44 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, -3\/7, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 14. Let w be x(2). Suppose -18 + 6 = -4*m. Let l be -1 + w - (1 - -2 - m). Sort l, 1\/2, -14\/3 in descending order.\nAnswer: 1\/2, l, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12939*b + 12936*b - 4*b**2 + 11*b**3 + b**2)*(41 + 19 + 36) in the form p*b + n*b**2 + w*b**3 + a and give n.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 4\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*d**3 + d**2 - 10*d wrt d.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5200)*-1)\/(-4*sqrt(16)\/sqrt(4)*-4).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2\/29 (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*f = -6*j + 11542, -5*j + 5*f = -11545. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 40*v\/3.\nAnswer: -v*(v - 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 2\/3 + (-79)\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*z)*(-3*z**2 + 2*z**3 + 3*z**2)*(1 - 1 + 9) in the form c*z**2 + w + n*z + o*z**3 + k*z**4 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32580509.\nAnswer: 13, 2506193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922, 3890, 8864, 15844, 24830, 35822, 48820?\nAnswer: 63824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 7*x**2 - 1. Let q(f) = -154*f**4 + f**3 + 7*f**2 + 10*f + 4. Let u(k) = b(k) + q(k). What is the second derivative of u(r) wrt r?\nAnswer: -1848*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, 23, -15 in descending order.\nAnswer: 23, -2, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:50 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/(-14))\/(3\/(-42)) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.88446 to one decimal place.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 2)\/(8\/(-560)). Suppose -i - 4*g + 94 = 0, 3*i - 27 - h = -3*g. Which is bigger: i or 73?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(1*sqrt(5600))\/(-3*sqrt(48)\/sqrt(6)).\nAnswer: -10*sqrt(7)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1141 - -1148. Solve 4*p - 6 = y*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q + 1714 = 652 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2475*c - 89671 + 89671 as y*c + m and give y.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/20*15\/(-1080)*-60\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**41*(u\/u**(-4))\/(u\/(u*((u*u*(u**(-2\/11)*u)\/u)\/u)\/u))*(u**2*u*u**(1\/6))**(-3\/7) assuming u is positive.\nAnswer: u**(-5781\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/(p*(p*p**(-12)*p)\/p))\/p*p))**(-1\/25)\/(((p\/p**30)\/p)\/(p\/p**(-6\/7))))**(-31) assuming p is positive.\nAnswer: p**(-175212\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -16*i + 46*i + 6*i. Let t(m) = -3*m**2 - 113*m + 62. Let d be t(-38). Let l(a) = -7*a. Calculate d*l(r) + 5*w(r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -5, -1\/4, -2\/17, -1533, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2618936 = -2618936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 676.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, m: 1, w: 1}. Give prob of sequence aw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562535 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19296 and 56?\nAnswer: 135072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away -0.04?\nAnswer: -31.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**4 + 4*d**4 - 4*d**4)*(6 - d - 6).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111010101111010010101 - 0?\nAnswer: -1110111010101111010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8343606 by -6.\nAnswer: 1390601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579701581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 363310.2 decades?\nAnswer: 36331.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Suppose 3*j = a*c + c - 408, 1 = -j. What is the remainder when c is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 910*z - 4534. Give a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 2\/3 (c) -4\/9 (d) 2\/7 (e) -2231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2491687 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(30 - 12 - 17 - 93*k**3)*(-3 + 3 + 2) to d*k**2 + c*k**3 + p + o*k and give c.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59533.52 meters in nanometers?\nAnswer: 59533520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 103*f**3 - 105*f**2 + 103*f + 104.\nAnswer: (f - 104)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + 1*(sqrt(343)*2 + -5) + (sqrt(343) - -1*sqrt(343))*-4 + (sqrt(343) + sqrt(343) + -1)*-4)*1)**2.\nAnswer: 10584*sqrt(7) + 605376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/1125571 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*n, 0 = x + n - 124. Let z = -119 + x. Solve -4*c + j - 12 = 0, z*c + 3*j - 3 - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 + n**2 - n + 1. Let v be p(1). Let a be (v\/(-16))\/(1\/12). Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/19))\/u**7)\/((u**(7\/4)\/u)\/u**(-8)) assuming u is positive.\nAnswer: u**(-1129\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w + 4*w**2 - 4*w + 53*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*p + p + 15, 3*p = 2*x - 35. Calculate the least common multiple of x and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -26. Let k = -6 + 17. What is the remainder when r is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h + 2 = -29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.133, 1\/6, 494\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*o + 2*o - 1920, 0 = 2*h - 3*o - 1915. Suppose 0 = -5*d + h + 486. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 divided by 92?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) - (-8)\/12. Let i be x - (-2 - -3)*-3. Let y(q) = -q - q**3 + 5*q**2 + 5 + i*q**3 + 4*q. Determine y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 7*k**2 - 11*k - 17. Let a be d(9). Calculate the highest common divisor of 138 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -14*a**2 - 16 + 75*a**2 + 9*a - 62*a**2 + 4*a**3. Is c(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*x - 40*x + 70*x)*(0 - 5 - 4) to the form i + j*x and give j.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33440 times -1.2\nAnswer: -40128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 70, 165, 300, 475, 690, 945?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 6*k + 9*k)*(19*k**3 + 4*k**3 - 42*k**3)*(k + 16 - 16).\nAnswer: -171*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i - 4. Let q be b(3). Let y(l) = 3297*l - 9892. Let h be y(3). Sort 2, q, h in descending order.\nAnswer: q, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, b: 1}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1154*y - 41426. Calculate r(-36).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsscscsz. What is prob of picking 1 z, 1 c, and 2 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70759 and -36.2.\nAnswer: -2561475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 + 8972 - 2114 = 258*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y + 4. Let t(n) = n**2 - n + 1. What is -3*t(u) + v(u)?\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1907004 and 3708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1397*r**8\/56 + r**4\/6 + 349*r**2\/2 + 594*r. Find the third derivative of t(z) wrt z.\nAnswer: -167640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*8*8\/96)\/(3\/(-27))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1))\/m)**(1\/2)\/((m\/((m\/(m\/m**(-2\/5)*m))\/m))\/m*m\/m**(1\/2)*m))**(-46) assuming m is positive.\nAnswer: m**(782\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**2 + 0*w**3 - 1\/4*w**4 + 0 + w. Let c(n) = 4*n**2. Determine c(k(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1474405155 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*v**2)*(v**2 + v**2 + v**2) + (2*v + 0*v + 4*v)*(1 - 1 + 2*v**3).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvxvsxvvvvxra. What is prob of picking 1 x and 3 v?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47423, -3\/4, -17, 25\/3?\nAnswer: -47423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384462, -384412, -384322, -384186, -383998, -383752?\nAnswer: -383442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45156 or 1367?\nAnswer: 45156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1386 and 31647.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*d**2 + 10*d - 10*d + (4*d - 5*d - 2*d)*(2*d + 3*d - 4*d + 0*d + 0*d - d + (-1 + 5 - 6)*(d - 2*d + 3*d) + 2*d - 5*d + 2*d - d + 3 - 3).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 14 + 24\/(-4). Let q(t) be the second derivative of -5\/12*t**v + 0 + 0*t**2 - 1\/4*t**5 + 0*t**3 - 2*t. Find the third derivative of q(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77965596 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 938444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*c = 79, -213 = -h + 4*c - 167. What is the highest common divisor of 651 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5374 - -6560. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011330 - 0?\nAnswer: 1011330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-340)\/(-17))\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/13)*g*g**(16\/7))\/(g**(-2\/35)*g\/(g*g**(6\/13))) assuming g is positive.\nAnswer: g**(117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23416341 and -175.\nAnswer: -23416516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:42 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8. Let j(v) = v**3 - 11*v**2 - 57*v - 34. Let z be j(15). Suppose -12*u = -z*u - d. Solve -3*m - 2*g = u + 13, 2*m + 10 = 3*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 307894 divided by -2\nAnswer: -153947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27481017 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.94334 + 0.05666. What is the closest to n in 1\/17, 10, -1, 5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (69\/(-6) - -1)\/((-4)\/8). List the prime factors of 7\/(u\/(-60))*90\/(-24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319213 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 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: Round 64897.181 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*o + 4*o = 37, -b + 21 = -2*o. Calculate the remainder when 55 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 1. Let l be h(-1). Let f be (-2)\/8 + (-9)\/l. Solve f*o = -2 - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 12*t**2 + 2. Let z be (-1)\/(-6) - 142\/(-12). Let b be k(z). Suppose 5 = p, -3*y + b*p = -4*y + 6. Put 5, y, 1 in ascending order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 + 3 - 7) - (-1 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 - 162.7. Let k be (-1)\/4 + 11\/(-4). What is the second biggest value in -0.3, k, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/12*8. Is 12 a factor of (-21 - 1)*(0 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(98) + (sqrt(98) - (1*sqrt(98))**2) + -5.\nAnswer: -105 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiittti. Give prob of sequence iii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 3*f + 142 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let w = 4.2 + -4. Let h = w + 2.8. Sort h, i, -1 in increasing order.\nAnswer: -1, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 18*d + 19. Let p be q(13). Let u = p + 74. Suppose -2*i - 2*k - 4 + 18 = 0, 12 = -4*k. What is the remainder when u is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2181362 nanometers?\nAnswer: 0.0000002181362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(10)*1) - ((sqrt(4536) - sqrt(56)) + sqrt(56))\/sqrt(8))*2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let l(o) = 9*o - 1874. Determine m(l(y)).\nAnswer: -162*y**2 + 67464*y - 7023752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z - 20. What is r(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 + 159*h**4 + 1655*h**3 - 17355*h**2 - 198576*h - 407484 = 0.\nAnswer: -147, -14, -6, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 529 = -14*b. Is b at least as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 437195?\nAnswer: 874390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 1)\/(9\/(-6)). Suppose -r*n = 5*o - 6, -o + 2 + 1 = n. Is o less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 27 + 57. Suppose -12*w = -16*w + s. What is the greatest common factor of w and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0117920202 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*u + 53805*g**3 + 612*g**2 + 629*u wrt g.\nAnswer: 48*g*u + 322830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451 divided by 6.\nAnswer: 451\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 540, 1205, 2126, 3297, 4712, 6365, 8250?\nAnswer: 10361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 398104654 and 18.\nAnswer: 3582941886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - 48. Let n be (11\/55)\/((-2)\/(-10)). Sort 3, n, q.\nAnswer: q, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -679999*b**6\/120 + b**5\/60 - b**4\/24 - b**3\/6 - 4*b**2. Let u be v(-1). Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 697*f**2 - 167*f + 15066. What is q(-232)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -108. Let z(x) be the third derivative of -1\/12*x**5 + 0*x - 1\/6*x**3 + g*x**2 + 1\/120*x**6 + 0 - 1\/4*x**4. What is z(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5815810 and 3432?\nAnswer: 69789720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 6, i: 5, o: 1, l: 5}. Give prob of sequence qlql.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:23 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 7, r: 2, v: 7}. Give prob of sequence rww.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkn when three letters picked without replacement from nnkkununnnuuuuuuuuun?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 12. Let n(f) = f**3 + f**2 + 3*f - 3. Let m be n(-3). Let d be (-2)\/6 - 10\/m. Which is the third biggest value? (a) l (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-119)\/14 + 6)\/(4\/(-56)). Solve -4*r - q + 27 - x = 0, -4*q = 2*r + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 - l - 6. Give b(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47893863 by 15964621.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29911*q**4 - 44735.\nAnswer: 119644*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 8213896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-8)\/(-180) - 102\/(-27). Solve 5*y - 16 = a, -2*a + 0*a - w = -3*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 2, c: 2, t: 2, q: 1, n: 1}. Give prob of picking 1 b, 2 t, and 1 c.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25 - 10. Let a be (3\/3)\/((-3)\/1942632*o). Suppose 4*i + 2304000 = -4*k, 2*k - 5*i = -a - 936152. Round k to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxeiqqiaqqaaqa. Give prob of sequence aq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -1. Suppose -5*r - 72 = -t*r. Suppose r + 4 = 2*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - n - 16 + 16*n**2 + 7*n + 4*n**3 = 0. What is n?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -99319.22, -4.3 in decreasing order.\nAnswer: 3, -4.3, -99319.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 + -5)*-1)\/(1148\/287). Which is the biggest value? (a) w (b) -4 (c) -5 (d) 2\/13 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/4 + 6267*c**2\/2 - 3269805*c - 6552150 = 0. Calculate c.\nAnswer: -2, 2090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5501957 + 7949803. Let d = c - 1362846. What is d rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 362337616 - 2?\nAnswer: 362337614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65356.\nAnswer: 2, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -1, -0.4, -0.5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) -3\/47 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 320.3 and -196025.\nAnswer: -195704.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001098877748 to six decimal places.\nAnswer: 0.001099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 4*c**4 + 1478*c**2 - 3*c - c - 1649*c**2 - 3*c**4 to the form a*c + n*c**3 + w*c**4 + z*c**2 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -69639\/148 at most -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/15 in 2, -1.2, -2332?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeueeuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136366935*k**4 - 142638950*k**2 wrt k?\nAnswer: -3272806440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = -2*n. Suppose -11 = 3*d - 3*s + 19, 3*d - n*s + 34 = 0. Let g(b) = -13*b**2 + 7*b + 8. Let x be g(d). Round x to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460003249?\nAnswer: 3, 11, 23, 1553, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 134)*17\/3. Suppose -13*z + 3856 - x = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 3*z - 12. Let n be t(-4). Let b be (((-1024)\/(-120))\/n)\/(12\/(-15)). Factor 2\/3*p**3 - 8\/3 - 8\/3*p + b*p**2.\nAnswer: 2*(p - 2)*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -1\/20*v**5 - v**2 - 1\/6*v**3 + 0 - 7\/12*v**4 + 4*v. Let q be o(-7). Put 3, q, -4 in ascending order.\nAnswer: -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-4*sqrt(1728) - sqrt(1728)) - (6*(sqrt(99)*1 + sqrt(99)) - sqrt(99))\/sqrt(9).\nAnswer: -661*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5 (c) -4\/3 (d) -0.0788 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 306, 610, 984, 1398, 1822, 2226?\n\"Answer: -5*n**3 + 80*n**2 - n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314344\/101 or 3113?\nAnswer: 314344\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/17, -3, -1\/118 in increasing order.\nAnswer: -3, -1\/118, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 15, -r + 4*d + 20 = 7*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8 (c) -3 (d) -2.7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*-3 - 0. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = -2*o + 10, -2*z + o - 23 = 0. Let j = -27605\/8 - -3445. What is the common denominator of j and (-14)\/21 - (-454)\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j - 2*j)*(-2*j**3 + 3*j**2 - 3*j**2)*(-2 + 0 + 5).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q**2 + q + 1. Let v be (-12)\/(-66) + 70\/(-22) - -2. Determine u(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4766709 and -0.4.\nAnswer: 1906683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-84)\/735)\/(424\/7685).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230.1456 - 443.76. Let j = v - -207.6. Let k = j - -6. What is k rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 20*c**2 - 17*c + 39. Let b be x(-19). Let n(i) = -6*i + 67*i**2 - 3 - 3 - 68*i**2. Let l be n(-4). Solve -l*u + b = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 762*t + 404.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + 86. Let a(q) = -3*q - b + 126. Let m(t) = 3*t - 2*t**2 - 2*t - t. What is a(m(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2537, 2, 0.4 in descending order.\nAnswer: 2, 0.4, -4, -2537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a = -1052 - 3436. What is the lowest common multiple of 160 and a?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*f, -40*t + 35*t = -2*f - 53. Solve j + t - 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 + 3*z**2 - 11*z - 7. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488, 490, 492, 494?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7682 - -7674. Sort 122, f, 1, 0 in ascending order.\nAnswer: f, 0, 1, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 19*k**2 - 33*k - 186. Calculate the remainder when 105 + -2 + (1 - -2) is divided by z(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*f**2*j**3 + 3*f**2*j**2 - 2*f**2*j - 2*j**4 + 459 wrt j.\nAnswer: -240*f**2*j + 6*f**2 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - (-3 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64 + -7)*(0 - -1). Let m = -102 - v. Let q = -21 - m. What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29375600 and 98?\nAnswer: 29375698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -33*a + 31. Let p(c) = -217*c + 186. Let x(h) = -13*i(h) + 2*p(h). What is x(14)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 85 + 125 - 5*u - u**2. What is the hundreds digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sis when three letters picked without replacement from issigsigiiisgtg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 - -367. What is the common denominator of -74\/9 and (7\/(-28))\/(10\/b)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 11. Let m be d(4). Let a(w) = 6*w - w**2 - m + 2 - 5*w + 2*w**2 + w**3. Let x be a(-2). Sort 5, x, 2 in ascending order.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 254, -3, -12594, 0 in descending order.\nAnswer: 254, 4, 3, 0, -3, -12594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 43*k - 3. Let r be h(3). Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2. Let w(i) be the third derivative of -i**3\/6 + i**2 + 7. Let g(f) = -5*f - 15. Let v(a) = g(a) - 15*w(a). Determine v(u(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2269*l - 2291*l - 2270*l + 9036*l - 2250*l.\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 111 (b) 0.0695 (c) 4 (d) 1\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 15*i**2 - 9*i + 17. Let x be h(-7). Let t be (-3)\/(-4) + 13\/(x\/18). What is the nearest to t in -0.1, -2\/3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 33. Suppose -4*r - 2*a + 1 + 17 = 0, -3*r + n = a. Suppose 3*f + 0*f - 992 = -r*p, -2*f + 659 = -p. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20002212120210 (base 3) to base 16\nAnswer: -318495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1, -5, 550, 0 in decreasing order.\nAnswer: 550, 1, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 24115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/4)\/(-5) - (15 - 13). What is the biggest value in 0.4, 5, 2, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413544465 a multiple of 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -1894*r**2 - 1888*r + 6 = 0.\nAnswer: -1, 3\/947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 363?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -5, -11\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**3 + 49*m**2 - 99*m - 3. Determine c(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:55 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdd when four letters picked without replacement from xdxdxxdxdddddddddd?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*m. What is the common denominator of 29\/4 and 63\/4 + -2 + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*d + 274 + 180 = -950 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 300630*x - 29742768 = 0.\nAnswer: -150216, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 2. Let o(i) = i**2 + 5*i. Give o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + (-6 - 4) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3*h + 34. Let o(u) = -u**2 + 7*u + 9. Let l be o(7). Let m be 4\/2 - (l + -13). Let y be x(m). Solve 0*t + 4*t + y = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhvhvhhvh.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2331298 is divided by 1165543.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 13*s + 34. What is the remainder when 15 is divided by t(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1605*m**2 - 2*m + 13. Let n = 21 + -12. Let o be w(n). Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6719977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 1\/6*u**6 + 0 + 0*u**5 + 0*u**2 - 5*u + 0*u**3 - 5\/12*u**4. Find the third derivative of j(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 20*m**2 - 44*m + 43. Is q(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179708?\nAnswer: 2, 44927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -2\/201 (c) 3 (d) -120 (e) 9 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 11. Let w(i) = 41*i - o*i + 2*i**2. Let p(s) = 19*s - 2. Let b(g) = -61*g + 7. Let z(t) = -2*b(t) - 7*p(t). Calculate z(w(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let h(x) = -x**3 + 4*x**u + 0*x**3 - 2*x**2 + 2*x + 3. What is h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z - 2. Suppose -2 = -l + 2*l. Let k be a(l). Suppose 12 = k*t - t. Solve 5*q - 2*n + 5 = -19, -3*q + t*n = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*v - 32 = v, 0 = -a - 2*v + 21. Let g = -15 + a. Let o = -4 - 1. Is g smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(10\/55 + 8\/(1760\/(-535))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317431 (base 8) in base 11?\nAnswer: 55a773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -112764859.4 to the nearest 1000.\nAnswer: -112765000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/20)\/(2\/(-8))*417. Suppose 8*g - 3345 = u. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*k**2 + 1739*g*k - 2*g + 408*k**2 - 10*k + 2 wrt g.\nAnswer: 5*k**2 + 1739*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11436 - -201?\nAnswer: 11640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 + 3*c - 3. Let r be a(6). Let i be (-446)\/(-6) + 10\/r - 0. Suppose -5*s = 10 - i. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgffwgggw. Give prob of picking 3 f and 1 g.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -4.3. Let m = u + -6. What is the nearest to 2 in -1, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -3*t, 0 = 5*w + t - 1930. Calculate the highest common factor of w and 8385.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxbxdddxbbxbxb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 468.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 - -3?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*s**2 - 908*s wrt s?\nAnswer: 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(21\/(252\/8)*-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*i - 20 + 85, -3*i + 50 = r. Let f = i - 15. Solve f = 3*x + 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 12193*w = -0*n - 12171*w - 1300, -4*n + 114 = 2*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*v - 8. Suppose v*w = 4*w. Let g = 185 - 167. Solve 0*b = d + 2*b + 1, -4*d + 3*b + g = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 1577 - 15038 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130974 - -5?\nAnswer: -130969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1478376*n**2 - 5386140.\nAnswer: 2956752*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384 greater than or equal to 5379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2502305)\/(-260) - 90\/(-24) a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92254057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 6, 4, -15, 5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 8. Let t = -8 + 3. Let f be q(t). Solve 0*a = f*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*d - 511*d - 199*d + 488*d to r*d + p and give r.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34034 + -0.358007. What is f rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (54\/2)\/(3\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110733*n**2 - 55362*n**2 - 55374*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/(h**4\/h*h))**(-8))**(-4) assuming h is positive.\nAnswer: h**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - n**3 + 4*n**3 + 29*n - 7*n.\nAnswer: 3*n**3 + 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221762797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 2. Suppose 12 = 3*f + 3*r, -5*r - 3 = -f + 7. Calculate the remainder when l(-2) is divided by (-8 + f)*4\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35021 and 0.1.\nAnswer: -3502.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39720 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:31 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 871780350 by 3.\nAnswer: 290593450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7710 + 61587\/8. Let r be -6 + (-12 - -20) - (-14)\/(-1). Find the common denominator of v and (-1 - 0\/(-2))*226\/r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99030 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-20)*2)\/(8\/216) and -148*(2\/1)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 3*b**3 - b**4 - b**4 + (-6*b**2 - b**2 + 4*b**2)*(-3*b**2 - 2*b**2 + 4*b**2) to l + g*b**3 + s*b**4 + a*b**2 + i*b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3\/7 + 4*l**2 - 134*l\/7 - 120\/7.\nAnswer: 2*(l - 3)*(l + 5)*(5*l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*h*y**3 - 4*b**2*h*y + 18*b**2*h - b**2 - 4*b*y**3 + 3*h + 70*y**3 wrt b?\nAnswer: 6*h*y**3 - 8*h*y + 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 - 2*r + 2. Suppose -16 + 8 = -2*a. Let g(t) = 10*t**3 - 7*t - 7*t**2 - 3*t**3 - a*t**3 - 7*t**3 + 7. Determine 2*g(p) - 7*s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v - 2. Let h(g) = 1545519*g**3 - 63*g - 7 + 11*g - 1545520*g**3. What is 2*h(d) - 7*x(d)?\nAnswer: -2*d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 3. Let t be k(6). Let x be (15 - 0)*(-1)\/t. Suppose -3*q = -4*d + 325, x*d + 4*q + 208 = 622. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -5*l**2\/2 + 2*l - 1. Let q(j) = -j + 1. Give 4*q(b) - x(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/187134 and -95\/2?\nAnswer: 187134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 860937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-20)\/(-16)*(18\/705)\/(-3)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1876, 1888, 1914, 1960, 2032, 2136, 2278?\n\"Answer: d**3 + d**2 + 2*d + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11752 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2415534 and -0.04.\nAnswer: 2415533.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/24*(-213)\/10863.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 71, -9, -235, -661, -1341, -2329?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:51 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**37)\/(m\/(m**16*m)) assuming m is positive.\nAnswer: m**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 46*r**2. Let y(c) = -2*c**2. What is h(y(d))?\nAnswer: 184*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(((-140)\/16)\/5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103542571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 15*r - 3 - 2. Let m be (-3)\/(14\/(3 + -1)). Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 44, -1, 2\/129569?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 + 26*k - 20. Let s be m(12). Solve 3*x - 1 = s*d, -6*d - 8 = 3*x - d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5298 + 2256 = 20*b + 1134. Let m = 23 - -23. What is the remainder when b is divided by m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:20 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 + -6.3. Let s(q) = -q**2 + 15*q - 17. Let j be s(14). What is the nearest to l in j, 0.1, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 612.99989776 + -613. What is n rounded to six decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1272 and 15423?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 7771112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 9. Let r be s(12). Let i be ((-3)\/(-9) + 0)*r. Suppose 56 = -u - i*u. Is u < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 20*m + 4. Let g be q(-20). Let z(t) = -t**3 + 4*t**2 + 9*t + 21. What is the remainder when z(g) is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3526886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + -3 + -2 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7)*2 + sqrt(7) + 3 + sqrt(7) + (4*(1 + sqrt(7)) - sqrt(7)) - (-3 + 0 + sqrt(7) - 3*(sqrt(7) - (-2 + sqrt(7)))).\nAnswer: 6*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5. Let h be l(0). What is the second derivative of h*m**2 + 2*m + m + m wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4670?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24*-1*(-5)\/(-10). Is ((-12)\/k)\/(2\/(-982)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 47\/4 of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-5\/3))\/h)\/h**(22\/9))\/((h\/h**(7\/2))\/(h**11*h)) assuming h is positive.\nAnswer: h**(247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8412769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + p + 0*p = 16, -2*t - 4*p = 8. Calculate the least common multiple of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6116, -12231, -18346?\nAnswer: -24461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, r: 2, h: 8}. What is prob of sequence rhr?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhuh when four letters picked without replacement from vhusllsusvllyvhh.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.09, 8, 2\/19, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 40*w - 126. Suppose -4*k = k - 730. Suppose -4*h + 4 = 0, w*b - k - 159 = -5*h. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**4 + i**2 + (i**2 - i + i)*(-2 - 2*i**2 + 2) - 3*i**3 + i**3 - i**4 - 4*i**4.\nAnswer: -6*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 8\/(-1 + 2). Let t be (h\/(-4) - -2)*0. Suppose -4*r - i + 13 = -7, t = 4*r - 4*i. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -0*l - 3*l, 0 = -4*l + 5*s + 15. Suppose l*u = 2*u. Let 2\/7*o**2 + 2\/7*o + u = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65810545+-1.64501\nAnswer: -65810546.64501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.54 + -6.51. Let y = -5.27 - g. Which is the third biggest value? (a) -2\/317 (b) -2\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Let c = s - -6. What is the units digit of 10\/4 + c\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/8*((-279384)\/(-1764) - 158)\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 j when three letters picked without replacement from ucspjff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3976 - 2741 = -173*x - 2738 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8533336 + 188?\nAnswer: -8533148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5680)\/3905)\/(6\/(-33))*3\/(-52)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by -4528?\nAnswer: -161\/4528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220720 and 35600.\nAnswer: 1103600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 + -6.272. Let n = -0.028 + s. Let z = 0 - 1\/10. Which is the closest to -0.1? (a) z (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.49825 months in centuries?\nAnswer: 0.134581875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6580, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.19915 + -13.673369\nAnswer: -13.872519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 9 - 5*s**2 + 18 + 15*s**2 + 6 in the form g*s**2 + c + h*s and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen sixteenths of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 + 24767*k**2*l**2 - 2*k*l**2 + 3*k - 1442*l**2 wrt k?\nAnswer: 12*k + 49534*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 311. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.21 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455496 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 35693*d**3 + 7875*d**3 - 2*d**2.\nAnswer: -27818*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 4*l**2 + 8*l. Let z(a) = 6*a**3 + 3*a**2 - 7*a. Let c(y) = -3*v(y) - 4*z(y). What is the second derivative of c(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 57*j**2 + 69144*j - 5835700 = 0.\nAnswer: -325, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Let q be ((-4)\/(-3))\/2*w. Suppose -h = h + q. What is the third smallest value in h, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i + 8*i + 11*i in the form p*i + c and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 2*w, -2*w - 6 = t - 6*w. Is t\/(-3)*(-9495)\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (2 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.0000002 + -2. What is f rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 11. Suppose 2*t + f = 0, 0 = -5*y + 5*t + 3 - 38. Is y\/3 - -34*71 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 279, -32, -17, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8710394191599*n**2 + 3*n**3 - 8710394191599*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*p + 8, -7 + 0 = -3*p - x. Suppose -p*s + 5*s = 12. Suppose 3*q - 10 + s = 0. Solve -5*o + 0*o = -5, q*z = -3*o + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 12*h**2 - 10*h - 6. Let p be q(11). List the prime factors of -2 - (-5)\/(p\/394).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 12 - 44 = 0. Let i = -18 - -7. Is (i + b)\/(1\/(-83)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:49 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -118. Let h = i - 59. What is h rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/((-1)\/(8\/(-12))). Suppose 0 = 10*i - 8*i - k. Let z(y) = 3*y**2 - 12*y - 4. List the prime factors of z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1513\nAnswer: 4\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -111*t + 5. Let w(h) = h**3 - 8*h**2 - h + 9. Let k be w(8). Let v be l(k). Let s = -41 - v. Calculate the remainder when s is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*m = 12, 15 = 3*m + 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1293, 3\/2, -16\/7 in decreasing order.\nAnswer: 3\/2, -2\/1293, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013536213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 4*r**2 + 2*r**2 + 4 + r + 4*r**2 - 5*r**2 to k*r + f + t*r**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 196 + 21*y - 196 - 19*y + 5*y**3.\nAnswer: -6*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:55 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 2)*(h + 4*h - 3*h) - 3*h + 7*h + 0*h to z + l*h and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let m be (1996\/(-88) - -3)\/1. Let l = m - -39\/2. What is the closest to u in l, 0.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -323. Suppose 0 = 5*m - 81 - y. Suppose -3*z + 21 = w - 2, -3*z + w = -13. What is the highest common divisor of z and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 15 = 4*y. Let l = -10 + 22. Let t = y + l. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -100*l - 1998. Let f be p(-20). Solve 18 = -8*y + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -2268 (c) 0.92 (d) -0.5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102598 is divided by 102548?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:56 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30*-26\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*g - 3. Let r = -7 + g. Suppose -5*m + a = -r*m + 20, 3*m - 35 = -4*a. Solve d = 4*d - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 15*d - 13. Let u be s(-6). Solve b = -3*b, -20 = -u*y - 5*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.00000115 - -13. What is y rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - 4. Let p be 14\/49 - (-48)\/(-70). What is the nearest to a in 0.5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*109\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/158781 and -109\/1905372.\nAnswer: 1905372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2*c + 0*c - 2*c + 5*c. Let a(g) = 9*g**3 + 6*g + 13. Let k(w) = -a(w) + 6*z(w). Differentiate k(q) wrt q.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 = k - 4*k, -n = k + 2. Calculate the remainder when k is divided by (-6)\/(-8) + 10\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 10*m**2 + 8*m - 3. Calculate w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z. Let k(o) = -3*o. What is -34*k(v) + 6*q(v)?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181539899.\nAnswer: 3, 17, 277, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 13. Suppose 2*d + 47 + 35 = -h - 48, h - 14 = 0. Which is the second smallest value? (a) d (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 770 = -z. Let g = -35 - z. Suppose 46 = 2*v - 4*x, 3*x + g = 3*v - 9. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.6423745 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/450 and 111\/44.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -9, -13, -17, -21, -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 - -232. Suppose -88*k = -c*k - 13. Calculate the remainder when 88 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 - a**2. Let d(v) = 2*v - 5. Let m(g) = -2*g + 4. Let q(z) = 4*d(z) + 5*m(z). What is q(s(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321.2 + -208. Let y = -112.181 + i. Let o = -1 + y. What is o rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3)*c)**34 assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/180 and 1241\/255 + (-2)\/(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194\/13*j - 90\/13*j**2 + 2\/13*j**3 + 282\/13.\nAnswer: 2*(j - 47)*(j - 1)*(j + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqinikilninjn. What is prob of sequence nnjk?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*k = 0, -5*k - 15 = 4*a + 30. Let t(x) = x**2 + 8*x + 16 - 1 + 0*x**2. Let l be t(a). Solve 0*y - 3*y + 12 = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 - 136. Let g(k) = 3*k + 8*k - 3*k - o*k. Let z(x) = -12*x**2. Calculate g(z(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -14. Calculate the common denominator of 70\/(-252)*z\/(-5) and 9\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2*r**3\/3 + 67. Let c(g) = 359*g. What is j(c(x))?\nAnswer: -257762*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(4\/(-4)*(-16)\/(-48)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 18*z - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*k + 122*k - 20*k + 57*k)*(2 - 4 - 5)*(3 - 3 - k).\nAnswer: 2380*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/9 in 1, -9\/2, 0.3, 7, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 72.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/9, 0.1695098, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -11?\nAnswer: 85\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1787 - -1803. Solve 44 = t*m - 36 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 7 + 0 + 18 + 2476*g**2)*(-g**2 - g**2 + 0*g**2) to the form r + y*g + u*g**4 + h*g**3 + b*g**2 and give u.\nAnswer: -4952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Let t be (-15 - n)\/4 - -10. Suppose -4*c + 6 = -t*c. Sort c, -6, 0 in decreasing order.\nAnswer: 0, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35610.\nAnswer: 2, 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 3*r - 2. Let t be s(4). Let n be 5 - (-1 - (t + -5)). Suppose -n*j + 40 = 2*j. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5 - 267*q**4 - 18711*q**3 - 115897*q**2 + 168480*q + 1064700 = 0. Calculate q.\nAnswer: -130, -7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 1. Let u(f) = -81 + 24 + 27 + 27 + f. What are the prime factors of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from sssyssyukysssss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242176\/(-28160)*(-5)\/6*-3.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*y + 339*y - 7*y**3 + y**2 + 6 + 2 to f*y**2 + k*y + z + l*y**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 874214717 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**6\/30 + u**5\/20 + 2207*u**3\/6 + 12131*u**2\/2 - 6022*u. Find the first derivative of o(b) wrt b.\nAnswer: -4*b**3 + 3*b**2 + 2207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o + 2*o - o + (2*o + 3*o - 2*o)*(-3 + 1 - 5) + o + 0 + 3 - 4.\nAnswer: -25*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)\/(l\/(((l*l**(5\/4)*l)\/l)\/l)))\/((l\/l**(-2))\/(l*l**(-1)*l*l)))\/((l**(-1\/2)*l)**(4\/19))**(-39) assuming l is positive.\nAnswer: l**(369\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4644, 7665, 8972, 8559, 6420, 2549?\nAnswer: -3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 738406 (base 13) in base 9?\nAnswer: 5068724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3380*u**3 + 74*u**2 - 56*u + 17. Let q(o) = o**3 + 24*o**2 - 2*o + 2. Let r(d) = -n(d) + 3*q(d). Find the second derivative of r(t) wrt t.\nAnswer: 20298*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622853.4 hours in days?\nAnswer: 25952.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/120 + j**4\/6 - j**3\/3 + j**2. Let d(g) be the first derivative of t(g). Does 5 divide d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 - 2*y - 24. Determine v(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 9. Let f be u(-13). What is the derivative of -4*n**4 + 43*n**2 - f*n**2 - 2 wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -27809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -194. Let t = 7 - a. Solve 4 = 4*o + 2*p, -3*o + p = -t*o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/6 + f**3\/6 + f**2 - 22*f. Let v be y(0). What is the derivative of 28 - 13 + 20 - 30*z**2 + 4*z**v wrt z?\nAnswer: -52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 78574*w - 78576*w = -36, -116 = 4*v - 5*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/934 and -8\/5.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 17*w + 56. Suppose -2*x + 10 = 0, -3*n + 17 = 4*x - 36. Let k be p(n). Let y(v) = -v**2 - 8*v + 14. Determine y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 33 = -5*r - 20, -5*w = 5*r + 45 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14 (b) 33.5 (c) 882 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13324, -26599, -39828, -53011, -66148?\nAnswer: -79239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 2*t**2 - 11*t - 6. Let h be v(5). Let l be (0 - -1)\/(1\/22). Let p = l - h. What is the lowest common multiple of 6 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j - 33*j + 17*j**2 - 22*j + 24*j**2 wrt j.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y + 7*y + 5*y - 7*y. Let l(q) = -19*q**2 + 3*q**2 + 4*q**2 + 11*q**2. Give x(l(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 25120 - 117395 = 0. Is 4\/(-14) + q\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 11 - 1. Suppose o + 4*o - 61 = -d*y, 0 = 3*y + 6. Is 3 a factor of (-1 + -1)\/((-2)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 50, -5 in descending order.\nAnswer: 50, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azta when four letters picked without replacement from itzae?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r. Let c(i) = 4*i**2 - 3*i - 1. Determine -c(v) + 2*m(v).\nAnswer: -2*v**2 + 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = c - 13, 5*x = c + 2*c - 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37474.\nAnswer: 2, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3*a + 3. Let u(z) = 2*z**2 - 7*z - 7. Let b(d) = 3*u(d) + 7*w(d). Let t(s) = 3*s - 3*s + 2*s + s. Calculate b(t(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2395 and 359.104.\nAnswer: -860054.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1)**(4\/9)\/(y**(-1))**(8\/3)*y**(-1\/4)*(y**(-1\/3)*y)\/y*((y*y**(1\/2))\/y)**(3\/13) assuming y is positive.\nAnswer: y**(1445\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (332465\/(-5782))\/((-10)\/12)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -67.8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*c**3 - 163.\nAnswer: -570*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 99.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**2 - 2*p + 1. Let v be m(1). Let i = v - 5. Let x be i\/(-21) + (-37)\/(-7). Solve k - 3 = -x*l, k = -5*l - 3*k + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*n + n + 13 = 0, -5*m + 14 = n. Let p = 7 - m. Suppose 0 = -p*g + 6*g - 254. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:02 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 85*s - 342. Calculate h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**9\/84 - z**8\/168 - 67*z**5\/60 - 58*z**2. What is the third derivative of f(m) wrt m?\nAnswer: -720*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1424 by -16.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**5\/20 + 7*l**4\/12 - 2*l**2 + 5*l - 31. Let y(c) be the first derivative of x(c). Determine y(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/7 + 1431\/63 is divided by -12*5\/(-15) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 2. Let i be (12\/9)\/(3\/(-9)). Let c(m) = -1. Give i*c(k) - r(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/(4\/8). Suppose 2*v = -3*f, m*v - 8 = 5*f + 30. Solve -v*n - 20 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -183*s - 130. Suppose -3*j + 33 = 3. Calculate the remainder when g(-3) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112644, -112651, -112658, -112665, -112672, -112679?\nAnswer: -112686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310586506 divided by -6?\nAnswer: -385097751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3432, 3485, 3556, 3627, 3680, 3697?\nAnswer: 3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 56*y**3 - 13*y**2 - y - 35. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233671\/30 - 7786. Find the common denominator of -137\/12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4285530*g - 2540664 wrt g.\nAnswer: 4285530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.20294023?\nAnswer: 0.040588046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 466*n + 54289.\nAnswer: (n + 233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40520*o - 266*o**2 + 40520*o to j*o**2 + p + d*o and give j.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139529698 to the nearest integer?\nAnswer: 11812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1097 - 1854. Let i = b + 955. What is the remainder when i is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 10 = 14. Suppose 5*v + 6*b + 2 = 2*b, v = -z*b - 7. Suppose -9 = v*w - 15. Solve -a - w = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:55 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -93?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 1372*u + 11232.\nAnswer: -4*(u - 351)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17128 (base 9) to base 16.\nAnswer: -2dfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 44562*m + 557. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1557632, -12461073, -42056120, -99688577, -194704248?\n\"Answer: -1557634*d**3 + d**2 - 6*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -595.\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10) + -1)*1395*158\/279186.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 - 22*m. Let x(u) = u**2. What is q(x(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 0.1 (b) 1\/4 (c) 1 (d) 1\/3 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**4 - 9370931*c**2 - 47673229*c?\nAnswer: 72*c**2 - 18741862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1649865 and 2709?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 23*n - 98. Give u(-8).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/21 - -3)*(-1)\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6\/7)\/m**(-1) assuming m is positive.\nAnswer: m**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 - -192. Solve -3*f + 2*d = -8, -f - a = 3*d + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -2 + 0 - (-380)\/48)\/(-1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2315 divided by 4\nAnswer: 2315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 417 - -4 - 1\/1. What is the common denominator of -58\/9 and (-4)\/6*(-4473)\/u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + q + 24 = 0, 100*q - 16 = b + 103*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 2*sqrt(405) + 1 + 3 + -1 + sqrt(405))**2.\nAnswer: 216*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -16. Let l be (z\/(-6))\/((-7)\/6). What is the nearest to 2 in -4, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8004 is divided by 7493.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 2 - 5*g**3 - 2*g - 2*g + 2*g + 0*g**2 as r*g + h + u*g**3 + p*g**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 0*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6*-54.55\nAnswer: 327.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2062 rounded to three dps?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2019 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446768 not equal to 1446768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 879361 divided by 18?\nAnswer: 879361\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 973 = 3*f - 5*j, 3*f + 0*j + 3*j - 1005 = 0. Suppose -4*q + 445 = -f. Is q*(3 + (-15)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -0*x + 5*c, 2*x + 10 = 5*c. What is the nearest to -0.2 in x, -0.3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 4. Suppose o + 55 = 4*h, h = 2*h - 2*o - 12. Let s be m(h). Solve -10 = t - 5*w + s, 4*t + 4*w - 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*9*(5 - 4) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -3ea?\nAnswer: 3f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2. Let d(j) = 3*j**2 + 26*j. Give d(x(f)).\nAnswer: 108*f**4 + 156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5261 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*u**2 - 5*u**2 - 3*u**2 + u**2 + 2*u**2 + 0*u**2 + (1 + 2*u - 1)*(4*u + 4*u - 7*u) - u**2 + 0*u + 0*u.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -203620, -202752, -201884?\n\"Answer: 868*t - 204488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = 21. Let f be 6\/10 + 87\/t. Suppose 5*m - 4 = 29*m - 124. What is the closest to 0 in -2, m, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4434 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1587, -3118, -4183, -4548, -3979?\n\"Answer: 39*b**3 - b**2 - 1801*b + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6534*b**3 + b + b + 6531*b**3 - 2*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-2 + (5 + 5 + 1*sqrt(396))*3)**2*2.\nAnswer: -8691 - 2016*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (1158 + -1188 - (-1 - 61)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7547132, -7547142, -7547164, -7547204, -7547268, -7547362, -7547492?\n\"Answer: -k**3 - 3*k - 7547128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -13, 0, 13?\n\"Answer: 13*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8 + (-357)\/68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2783 divided by 135.\nAnswer: 2783\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 0. Suppose -6 = -2*b - 3*h - 0*h, 2*h - s = -2*b. Let w = b + 3. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/35)\/((-2)\/14 + 0). Suppose b - 149 = -l*b - 2*o, 5*o = 4*b - 139. 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: Let c(f) = f**2 - 19*f - 17. Calculate c(26).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c. Let z be i(0). Suppose z*n + 107 = j - 4*n, n = 3*j - 299. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -34. What is the tens digit of h\/14*82\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477683 take away 10?\nAnswer: 1477673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.0361, 5, 1\/54, 1, 2 in descending order.\nAnswer: 5, 2, 1, 1\/54, -0.0361, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -94, -146, -218, -310, -422, -554?\n\"Answer: -10*k**2 - 2*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*p**2 - 414*p**2 + 798*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + 24. Let h(a) = -a**2 + a - 2. Let b be h(4). Let w = 33 + b. What is the remainder when j is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8589 and -11404?\nAnswer: -97948956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10942 by 5471.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 51*j**2 - 46*j + 507. Let d be f(26). Let y(n) = n + 6. Let u be y(-6). Let i be (u + 1)\/(3\/12). Sort d, i, 0.\nAnswer: d, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {l: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011002320102 + -2?\nAnswer: 10011002320100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t - 3. Calculate x(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-76)\/48)\/(14\/140)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1900) - -1*sqrt(1900)) + 0 + sqrt(19) + -3)**2 - (-1*(0 + sqrt(1539)) + -1).\nAnswer: -50327 + 765*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t - 2. Let b(l) = 23*l + 2. Let d(y) = -6*b(y) - 7*x(y). Let o(j) = -119*j + 49. Determine -49*d(i) + 2*o(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62040 is divided by 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)*i*i\/(i*i*i*i**18)*i**(-21)*i**24*i*i assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s - 48. Solve 5*b = -7 - s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -951, -905, 1135, 6165, 15181, 29179?\n\"Answer: 166*a**3 + a**2 - 1119*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, and 1 m when three letters picked without replacement from {m: 2, s: 9, g: 1, z: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21236 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-105)\/(-14))\/(9\/30). Solve 5*i + 25 = 4*j, j + 9*i = 4*i - l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/20, 2\/11, 11, -14 in increasing order.\nAnswer: -14, 3\/20, 2\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -159641*-3\nAnswer: 478923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -32. Suppose -18 = -4*i + 2*s, r*s = i + 3*s + 6. Solve 0 = -3*a, 2*l - 5*a + 10 = -i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1463145?\nAnswer: -4389435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 - 33*q**3 - 3*q**2 - 21*q**2 + 2*q**4 - 56*q + 35*q**3.\nAnswer: 2*(q - 4)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.4. Let s = 0.7 + u. Let x = -9.5 - -9. Which is the smallest value? (a) x (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6, -5*d = -2*m - d + 6918. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - w**3 - 2*w**3 + (w**3 - 5*w**3 + 3*w**3)*(-2 + 1 - 1) + 34 - 5*w**3 - 34 to the form p + b*w**2 + c*w**3 + a*w and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 7. Let w be j(-9). Let z = w + 5. What is the greatest common divisor of 40 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -12202430?\nAnswer: 12202424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 1449468?\nAnswer: 11595744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5017 - 931*b + 1674 + 1667 + 8448*b**2 + 1670 wrt b?\nAnswer: 16896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose o + 1 = -5*q - 0*o, -y*q - 4 = 4*o. Suppose 4*r - 6 + 2 = q. Is r less than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 141*o + 21. What is l(-71)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 8, -64 = -2*d - 5*t. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9136, -107, 58.\nAnswer: -107, 58, 9136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/570 and (653\/126)\/(-1) - 924\/(-1617).\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(325) - 2*sqrt(325)) - sqrt(325)).\nAnswer: 4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 7*a + 10. Let j be c(8). Let i be 8\/6 + (-65750)\/(-300). Let -63*m + 6 - 1029\/4*m**3 + i*m**j = 0. Calculate m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 1300\/78 + (-52)\/78*(-538)\/(-4)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1044 + 3*g + g - 1042 + 5*g**2 + g**3 - 7*g. Determine r(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 3. Let y = -17 - b. Let k = -7 - y. Is k equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 23*w**2 + 9*w + 101. Calculate h(12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778514 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - 4) + 0 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-8)*(-2304)\/1728. Let x = -5 - -1. What is the nearest to 1 in p, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138.53 - -140. What is x rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 48*o**2 - 84*o.\nAnswer: -3*o*(o - 14)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by (-1 + (-10971)\/18)*2\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 7*p**3 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*y**4 - 87*y**4 + y**2 - 2*y**3 - 11*y**2 to the form m*y**2 + g*y**4 + k*y**3 + o + a*y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-238))\/(10\/(-35)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a + i - 0*i, -a - 10 = 3*i. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4024815 divided by -268321\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*l - a, -224*l + 4*a - 32 = -228*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyzyyvyyxvvzyvvvy. Give prob of picking 1 y, 1 z, and 1 v.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 459 = 3*v, 3*k + 2*v + 118 = -346. Is k > -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 14660485.\nAnswer: 14660482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxcxcibcgw. What is prob of picking 1 x and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) + sqrt(9)\/sqrt(3))*1)**2 - sqrt(18)\/sqrt(96).\nAnswer: -sqrt(3)\/4 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -134. Let j = s - -107. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 = -17*v + 29751. What is the remainder when v is divided by 81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:46 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 - 4 = 0. Let n be 1\/9*(1 + -3). Are o and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 13*b**3 - b**4 - 5*b**2 - b**4 - 3*b**3.\nAnswer: -5*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676 is divided by 667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1105, -1175, -1245, -1315?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-11*1\/(15\/(-15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1 - -7)*(28 - 32). Suppose t - 2*t + c = 0, 0 = 5*l + 5*t - 22240005. What is l rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3770a (base 12) to base 5\nAnswer: 4402242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 98 = -5*u, -2*v + 0*v = -6. What is the smallest common multiple of 9 and (-55)\/u*-6*2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*-527.\nAnswer: -24769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcb when three letters picked without replacement from {c: 1, r: 1, b: 4, k: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419 + -290. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:55 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84086742443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 39. Let k be r(17). Suppose k*j = -3*b + 4*b + 127, -95 = -4*j + 3*b. Solve j = -5*d - u, -d + u = 3*u + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332\/14 + 2\/(-28)*-4 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123927096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**3 - 9 + 11*z**2 - 5*z - 2 + z**3. Let c be 3 - 1 - 0\/2. Let p(d) = -4*d**c + 2*d**3 - d + 4*d**2 - 2 + 2*d**2. Determine 2*b(h) - 11*p(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160131513*t**6 + t**3 - 124689993*t**2 wrt t.\nAnswer: -19215781560*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 5.58411684.\nAnswer: 10.58411684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 15 + 962*u**2 - 961*u**2 - 2*u. What is v(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436065 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 418.7*-0.729\nAnswer: -305.2323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 41*j - 534. Determine m(33).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 5. Let r(p) = p**3 - p**2 - p + 4. Let h be r(0). Let l be o(h). What is the tens digit of l\/(3\/(-33)) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.34? (a) 2 (b) -4 (c) -5\/2 (d) 0.6365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -174 + 173 - 22*n + 15*n - 15*n. Let c(q) = -8*q**2 + 5. Give g(c(k)).\nAnswer: 176*k**2 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q - q**2 + 7 - 4 + 11. Let l be r(10). Suppose -2*u + 12 = l. Let t(n) = n**3 - 4*n**2 - 3*n + 5. Determine t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 1031 + 1031 + 22*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16*1)\/((7473\/(-376))\/(-53)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -5085*i**7\/7 + i**3\/3 - i**2\/2 - 422*i + 6114. What is the third derivative of n(z) wrt z?\nAnswer: -610200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 32*t**3 - 5*t - 8. Is h(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 23*q**2 + 11*q + 28. Calculate the lowest common multiple of 56 and j(11).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 24\/(-20) - 24\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from zmmzizzmzi.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122687*m = 122693*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-5429053.\nAnswer: 488614.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5240*m - 5222*m + 468 = 0 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1308 + 1310. What is the third smallest value in 1\/3, -9, u, -3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/101)*a)\/a*a**35*a**(-3\/14)\/(a**(-8\/7)\/a))**(-14) assuming a is positive.\nAnswer: a**(-53603\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*i - 26*i + 1804 + 496. Solve -a - i = 2*l - 14, -4*l = -4*a + 28 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -150. Calculate the remainder when 37 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2270 - -2567. Calculate the greatest common factor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7845 - 2482. What are the prime factors of y?\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 - 6.399976. What is b rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 + 3 = 0. Suppose 254 = l*v + 698. Which is bigger: v or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112122 - -10?\nAnswer: -112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 + 4*y**3 - 5*y**2 + 11 wrt y.\nAnswer: -24*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3636230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*(11 - (0 - 0)) + (-587076)\/25305\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109108033 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 75 = -16*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 74.031.\nAnswer: 148.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166873.71 minutes to hours.\nAnswer: 2781.2285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/4721, 0.4, -0.01.\nAnswer: -0.01, 2\/4721, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a day in minutes?\nAnswer: 35040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -25. Let o be j\/(19\/5 + -4). What is the highest common factor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 35*j - 29. Let r(z) = -70*z + 62. Let k(h) = 13*p(h) + 6*r(h). Suppose 0*w = 4*w - 12. Is 20 a factor of k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 0.1 (b) -0.6 (c) -12 (d) -0.4 (e) 0.58 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 7. Let c(q) = 3*q + 5. Let z(p) = -7*c(p) - 5*u(p). Let g(m) = 8*m**2. What is g(z(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + (-76 - -86) - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 9, 57, 123, 201, 285?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 + 9*r + 11. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3645, 0.2, -0.4.\nAnswer: -3645, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204984 and 68328.\nAnswer: 204984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -7, 0.3, -3 in descending order.\nAnswer: 0.3, -0.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -63, 0.1, 1361?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/31, -0.3, -5\/2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8638, -34582, -77822, -138358, -216190, -311318, -423742?\nAnswer: -553462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 702073658 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(200 + 4*c - 196 + 10*c) to q*c + s and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -0.3. Let v = r - -0.9. Let h = 67\/3 - 22. What is the biggest value in -1\/8, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b**2\/11 + 2*b\/11 = 0 for b.\nAnswer: -2\/115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/15)\/((-1)\/5). Differentiate -2*j**2 - v - 6*j**2 - 3*j**2 - 5 wrt j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -4.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*n - 154*n + 376 = 0. Calculate the greatest common factor of n and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6128092.615 rounded to the nearest 1000?\nAnswer: -6128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1 + (-2052)\/8)\/((-125)\/100). Solve -s = 20*v - 146 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from hsssasxgahhss.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2905 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*f - 9805, -3*f + 2461 = -2*f + 2*r. Suppose 0 = -3*k + 2*z - 6*z + f, 2*z + 4 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 531*a - 5 + 10*a**3 - 33 + 533*a to the form i + n*a + j*a**2 + h*a**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - x = -2*x + 19, 21 = -4*k - 5*x. Let g = -5 + 5.27. Let i = 0.27 - g. What is the closest to 0 in k, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + q + 1. Suppose 5*h - 4*n = -9 + 31, h - 17 = 5*n. Suppose -2*d + 3*x = 3*d + h, -x = -4. Calculate w(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3 + v**3 + 0 - 5 - 10*v**2 - 27*v + 17*v. Let s be z(11). Suppose -s*a + 2 = -2*a. Calculate the highest common factor of 14 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81136 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 24*a**2.\nAnswer: -4*a**2*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {j: 2, d: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-276*k - 126*k + 127*k + (2 - 1 - 2)*(3*k + 0*k - k))*(-2 - 4 + 4) to c + i*k and give i.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oscujsussjcns. Give prob of picking 1 c, 1 j, and 2 s.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 233, 402, 581, 770?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvqqkkvezvvvv. Give prob of picking 1 z, 1 e, and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1285 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 3\/4, 2\/9, 2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 605*g - 4130. Give w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j. Let c(f) = -6*f. Let k be 46\/12 + 1\/6. Let y(b) = k*g(b) - 3*c(b). Let t be y(-7). What is the greatest common factor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 24*o**2. Let z be r(1). Let l(s) = -9*s**2 - 5*s + 5. Let i(x) = 44*x**2 + 24*x - 24. Let d(t) = z*l(t) + 5*i(t). Let a(w) = 2*w**2. Give a(d(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 382493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/13 + 794864*y\/13 + 78976097312\/13 = 0.\nAnswer: -198716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1845, -1906, -5703, -9570, -13531?\nAnswer: -17610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 1, y: 4, u: 1, o: 1, z: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*s - 26, -5*t - 2*s = 7 - 41. Suppose -t*h = -27 + 3. What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -43350?\nAnswer: -43416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-9 - (15 + -37))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*u**3 + h**2 - 85*h*u**3*z - 237*h + u**2 - 2*z wrt u.\nAnswer: 12*h**2 - 510*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 306. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0585553l in millilitres?\nAnswer: 58.5553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -2373, -2, 4 in ascending order.\nAnswer: -2373, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9\/4))**(-1\/92))**(-6\/23) assuming z is positive.\nAnswer: z**(-27\/4232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-390)*2\/2070*23?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -6 + 5 + (-20 - -10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-42) + (-536)\/(-14). Calculate the greatest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/13 (b) -5 (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((1 - (-9 - 0)) + (-167 - -147))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = d - 40, 2*x - 87 = -3*d. Let a = d + -43. What is the tens digit of 47\/a*3*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/600 - v**5\/50 - v**4\/10 - 8*v**3\/3 + 21*v. Let d(n) be the second derivative of o(n). Factor d(k).\nAnswer: -3*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246147359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 10*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*1\/(4\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/4 - j**3 - 3*j**2\/2 - j + 16. Suppose -4*f = 4*w - 3*f - 61, 0 = w + 3*f - 7. Suppose 4*r = w - 0. Give v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 155 = -4*r, 2*r = 4*s - 3*r - 587. Suppose 0 = -4*c - 3*z + s, 0 = 7*c - 3*c + 5*z - 145. What is the greatest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1499331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50, -5, -2, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.283459 + -254297.716541. Let n = -254441.923 - z. Let l = -144 - n. What is l rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.66 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b**2. Let h(l) = 12. Let i(s) = s**2 - 9. Let j be ((-9)\/6)\/((-3)\/(-8)). Let k(m) = j*i(m) - 3*h(m). Give a(k(n)).\nAnswer: 384*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 24576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 7:58 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43514\/9 + 4835. Let z = 6882 - 4872. Calculate the common denominator of 3\/9 - 1225\/z and b.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208472 - 6025*o - 208472.\nAnswer: -6025*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561460623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 - (-1 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/420 + 5*i**4\/12 + 14*i**2. Let w(j) be the second derivative of f(j). Let o(m) = 3*m. Determine o(w(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 6 = 4*a. Suppose 18 = a*s - 12*s. Suppose 3*v = 9 - s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 12*w + 35. Let g be f(4). Solve -2 = -2*d + g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7)\/(j*j**(3\/2)))**(-2\/31))**35 assuming j is positive.\nAnswer: j**(165\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 72342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10329, 41299, 92905, 165147, 258025, 371539, 505689?\nAnswer: 660475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = -41*m + 515 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/10936322 and 133\/73350?\nAnswer: 2460672450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, -6 in ascending order.\nAnswer: -6, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 157988289 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727851560 to the nearest integer?\nAnswer: 41567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 22 = -2*m, m = -n - 0*n + 11. Suppose -8*p - 18 = -m*p. Solve 2 = -4*q - 5*v + 10, -p = -3*q + 2*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -0.02, 1\/3, 3 in descending order.\nAnswer: 28, 3, 1\/3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 398762548750 and -4.\nAnswer: 398762548746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2\/3 - 314*i\/9 + 52\/9 = 0 for i.\nAnswer: 1\/6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155*b*y**2 + 6*y**2 + 4*y with respect to b.\nAnswer: 155*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100956 is divided by 50467?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vccs when four letters picked without replacement from ccvs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 52*o + 4 - 17 + 9.\nAnswer: -52*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/162 and 67\/483.\nAnswer: 26082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*g**6 - 2*g**4*o + 8*g**2*o - g**2 - 2*g*o wrt g?\nAnswer: 7560*g**3 - 48*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29121007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -124, -1, 2 in increasing order.\nAnswer: -124, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114397 is divided by 38113.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**2 + 824*x - 2333. Give p(79).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 82, 156, 272, 442?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 4*v = -9*o + 310, -3*o = -5*v - 468. Calculate the highest common divisor of 3312 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 1, k: 5, d: 1, u: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009485304 to 6 dps.\nAnswer: -0.000949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -38?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4 - 12, 2*f - 336 = -2*b. Let y = b - 108. Calculate the remainder when y is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 4. Suppose 5*y + 1 - 26 = 0. Let j(o) = 2*o + y - 2*o + o + 0*o. Determine -2*j(q) - 3*z(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2370 - -2433. Calculate the remainder when 1006 is divided by k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -24. List the prime factors of y\/1 + (7 - 5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9903 = 9893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -0.7. Let t = m + 0.2. Let n = 29 - 28.7. What is the smallest value in n, 1\/10, t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/137 or -1\/7?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -8\/3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14829*z**4 + 60*z**2 - 15*z.\nAnswer: -355896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307 divided by -6.\nAnswer: -307\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/3, -5.1, 8\/11, 3\/1268?\nAnswer: 3\/1268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086371302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**3 - 23*j**2 + 12*j + 29. Let k(d) = -3*d**3 + 8*d**2 - 4*d - 10. Let v(w) = -11*k(w) - 4*o(w). Let h = 40 + -44. Give v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:44 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2784 and 78126?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011022001 (base 3) in base 15?\nAnswer: -6b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1163*r + 935*r = 1875*r + 75708 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.8 (c) -148 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5 + 7*h**2 + 97*h - 90*h - 9*h**3 - h**2 + 0*h**2 - 3. Let s(m) = 6*m**3 - 4*m**2 - 5*m - 1. Calculate -5*q(t) - 7*s(t).\nAnswer: 3*t**3 - 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 8*u - 1. Let g be b(-8). Let k(z) = z**3 + z**2 + z - 1. Let s(i) = 5*i**3 + 6*i**2 + 5*i - 6. Determine g*s(y) + 6*k(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -221, -204, -167, -104, -9, 124, 301?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4166 (b) 1\/4 (c) 4 (d) -12 (e) -2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 21*n**2 - 684*n + 50. List the prime factors of a(40).\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*a - 124*a = 5*p + 25, 3 = -p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/20 + (-26)\/(-5). What is n in -2*n**2 + 6*n**3 - 2 - 3*n + a*n + 12*n**2 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5*g + 51, -225*y - 108 = -224*y + 32*g for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.57 + 51. Let d = 0.7 - m. Let n = -0.77 + d. Sort 1, -1\/4, n in descending order.\nAnswer: 1, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyey when four letters picked without replacement from {e: 7, y: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/165? (a) 0.4 (b) 5\/9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 1782?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, 635, 0 in descending order.\nAnswer: 635, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 12*l**3 + 3750*l**2 - 1878*l**2 - l**3 - 1873*l**2.\nAnswer: -11*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/4 + 77*u**3 - 1691*u**2\/4 - 19899*u\/2 - 28170 = 0.\nAnswer: -313, -6, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/20)\/((-9)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**8\/480 - 3*x**5\/40 - 3*x**4\/8 - 19*x**2. Let c(q) be the second derivative of l(q). Differentiate c(v) wrt v.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140528000 rounded to the nearest one million?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**3 - 186*v**2 - 261*v - 66 = 0. What is v?\nAnswer: -1, -1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2 + 100*a = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258930768?\nAnswer: 2, 3, 5394391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254539945*m**2 + 37894293*m?\nAnswer: -509079890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6988 = 2*w, 0 = 125*w - 123*w - r - 6982. Does 45 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -10, -12, -14, -16, -18?\n\"Answer: -2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 18*v**2 + v - 6. Let f be (84\/(-8) + 6)\/((-3)\/40). Let l = 78 - f. Let k be c(l). Calculate the highest common divisor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2476 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 10, a + 4*v = -0*v + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 22*x - 7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, v: 5, k: 1}. What is prob of picking 4 v?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38\/3, 0.35762, -4\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4 - 22904*v**3 - 98361228*v**2 - 187738797176*v - 134374044078722 = 0.\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 4*u + 3*z + 184, -4*u - 5*z = -30. Let s(a) be the second derivative of u + 9\/2*a**3 - 4*a + 4*a**2. Find the first derivative of s(t) wrt t.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -3. Let k be (-360)\/(-70) + 1\/s. Calculate the highest common divisor of k and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 6450?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2611)\/373 - -1*6)*(0 - 31).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5280 * 5.\nAnswer: -26400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i = 17*i. Suppose i = h + r, 3*h + 2*h = 4*r. Let t be 1 - -2 - (2 - 3). Solve -w - w - t = h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277962480 a multiple of 1490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjocccjmj. Give prob of picking 1 o, 2 c, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 1. Let f(l) = 3*l + 2. Let r(c) = 16*c + 10. Let h(m) = -11*f(m) + 2*r(m). Let o be h(p). Solve -1 = -o*d + 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s + 254*s - 15456 = -183*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**4 + 1. Let i(g) = -4*g**5 + 25*g - 3*g**4 + 5*g**5 + 1 - 47*g + 2*g**4. Let j(o) = 2*i(o) - 2*k(o). What is the second derivative of j(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 35*s = 9. Suppose 5*f - 45 = -s*i - 5, -4*f + 45 = 5*i. Calculate the remainder when 18 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67339740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 7)\/(1 + 0). Let l be (d + 0)*(-99)\/18. Suppose -4*n + l = -3*c, 5*n + c - 14 - 51 = 0. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3556 and 3779139?\nAnswer: 15116556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 63 = -g, -11 + 255 = 4*w - 2*g. Suppose 4*u - w = l - 0*u, 5*l = -u - 274. Let i be (-126)\/(-33) - 10\/l. Which is smaller: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + (sqrt(147) - sqrt(147)*1))*-5) + (sqrt(147) + -1)*2 + 4)**2.\nAnswer: 224*sqrt(3) + 9412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 376*q - 5261. Give x(-14).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20511 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 195 = -7*d + 2*d, 4*d - 5*c = 157. Let u(z) = 2*z**2 - 5*z**2 + 38*z - d*z. Let t(f) = -f**2. Calculate t(u(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 + 288 + -267 + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(-355*o - 1147 + 1147) to the form d*o + k and give d.\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279755574 is divided by 50662.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -88*w - 1249. What is m(-15)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 divided by 984?\nAnswer: -1513\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 11*o**2 - o - 5. Let n(w) = w**3 - 10*w**2 - 2*w - 5. Let v(m) = 4*i(m) - 5*n(m). Suppose -4*y - 2 + 30 = 0. Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - (9 - (8 - 4)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) -3\/8 (c) 6\/5 (d) -0.85 (e) 2\/13 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s + 3*o = -71, 0 = 5*s + 3*o - 125. Suppose -2*l - u + s = 0, 5*u = -2*l + 3*l + 8. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*v**3 + 837*v**2 - 336*v + 36.\nAnswer: -3*(v - 3)*(9*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:51 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 31816*h**3 - 154362762*h**2 - 207336900420*h.\nAnswer: -2*h*(h + 2210)*(h + 6849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879.139 millilitres in litres?\nAnswer: 4.879139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfyf when four letters picked without replacement from {f: 2, y: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) + -2 + sqrt(2))*1)**2 - sqrt(242)*3.\nAnswer: -45*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195681868 to the nearest integer?\nAnswer: 13989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*k + 5*k = -83, 67 = 3*j + 4*k. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*t + 206 = -1279 - 1611 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 6. Let c be (-7 - -9) + n*1. Suppose -4*w + 2*y + c*y + 56 = 0, 0 = -5*w - 2*y + 52. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -64667.27?\nAnswer: -64666.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 35 = f, 28 = 4*l - 2*f. Suppose -6 = -4*h + 2*p + p, 4*p = 5*h - l. Put 4, -4, h in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/13, 2\/197051, 5, 4 in increasing order.\nAnswer: 2\/197051, 30\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*u + 15 = 0, -3*f - 3*u - 5 - 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*h + 137, 3*h + h + 8 = 0. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q + 112 = 105*q. Suppose 51*v - q*v = -161. Let t(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 2*w**2 - 8*w + 2. Determine t(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317\/14 - -45\/2. Let h = -69 + 67. Which is the closest to 0.1? (a) h (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*49\/(497350\/(-232)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190862 less than -27224.2?\nAnswer: -218086.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 times -0.2?\nAnswer: 113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -2, 11.2, -5\/4, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 5 + 5 + 3*o as u*o + h and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6426+1.2\nAnswer: 6427.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010011111 + -1000101010111001?\nAnswer: -101111000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -1 + (35 - 95 - -52)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43181 from -22214222135.\nAnswer: -22214178954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 + 2*z**2 - 2*z - 3. Calculate the remainder when y(2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-14 - (-4 - -2)) + (-103 - -232)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242\/455 - -24\/35. Let t = -48.67 + 0.17. Let o = t - -48. Which is the nearest to 1? (a) g (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m. Let k(l) = 428*l**2. What is k(n(f))?\nAnswer: 20972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Let i = -51 - -53. What is the second derivative of -t**3 - 5*t + g*t**3 - i*t**3 wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6193368.\nAnswer: 2, 3, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39594*j + 814 = 39631*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -80, 5, -1\/6, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -19 - (26 + (10 - 35))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-3))\/((2535\/117)\/65)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -2411, -5938, -10865, -17186, -24895?\nAnswer: -33986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 2*v - 3. Let q(c) = c**3 + 7*c**2 - 6*c - 10. What is 7*g(p) - 2*q(p)?\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -590*h**3 + 36*h**2 + 1168*h**3 + 8*h**4 - 579*h**3 + (4 + 3 - 3)*(0 + 2*h**4 + 0) as x*h + d*h**3 + w*h**2 + n + b*h**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, j: 4, i: 4, e: 3}. What is prob of sequence zei?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + u - 1. Let n(l) = 2*l**2 - 3*l - 1. Determine -n(s) - t(s).\nAnswer: -6*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729 divided by 420?\nAnswer: 2729\/420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-22)*14\/((-616)\/(-55)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - (-173 - (-120 - -34))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140713913?\nAnswer: 3, 31, 1753, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9389734 - 2?\nAnswer: 9389732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 14687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -403 - -415. Solve -4*k + t = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 385, 394, 421, 472, 553, 670, 829?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.3. Let t = x + 0.1. Let r = -9.4 + 7.4. Which is the second biggest value? (a) -1\/3 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + a + 4 + (-3 - 2 + 0)*(11*a + 618 - 618)*(4 - 5 - 1) to r + n*a and give n.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:27 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/128 and 41\/448.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.85 * -2.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*y**2 + 19 - 48*y**6 + 71*y**2 + 77*y**2 wrt y?\nAnswer: -5760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 4.3047641?\nAnswer: 4.2847641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - 27 + 27, -3*a - 1 = 4*b. Let -19\/3*r**b - 2\/3*r**3 + 1\/3*r**4 - 4 - 28\/3*r = 0. What is r?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + y + 4 = 6*g, g + 8 = -2*y. Suppose 2*n - 7*n = -2*j + 1885, g = 3*n + 2*j + 1131. What is n rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/27956160 and -131\/5100.\nAnswer: 139780800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, 4\/7, -1\/3, -2150, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + -1 + -2 + 4 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = 2*s, -6*p + p + 30 = 5*s. Let u = 2886 + -14428\/5. Let i = -0.14 - 4.86. Which is the closest to -2\/7? (a) u (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4361 + 1.1361. Let i = 10 + -19\/2. Which is the closest to i? (a) -5 (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1965, -1970, -1977, -1986, -1997?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3 - 2*x**2 - 12 + 5 + 7*x - 2*x**2. Let l be (2*-1)\/(7\/(-14)). Calculate the least common multiple of 22 and a(l).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -18 + -17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*n + 4*n = -6, 4*n = 2*t - 20. Let p be 5\/t - 5\/10. Solve -h = p*h - 4*s - 6, -5*s = 3*h + 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**2 + 10*s - 10*s - 2*s**3 + 174*s**2.\nAnswer: -2*s**3 + 255*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -28332?\nAnswer: -28332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s**3 - 3*s**2 + 159*s - 451. Calculate x(3).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.5 + 148.5. Which is the closest to -0.1? (a) -63 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvlmuvlvmmuulmvma. Give prob of picking 3 l and 1 u.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -359? (a) 0.7 (b) -1 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.084 - -1.916. Let u = -0.04 - 0.26. What is the closest to k in 4, -5, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/(-6)*12\/14. Suppose 3*b = -4*o + i, o - 1 = -2*b + 2. Suppose 2*p = r + 9, 5*p + 2*r = -b*r + 9. Calculate the highest common factor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*6\/(-9) + (-2)\/(-3). Sort 5, b, 1, -1 in increasing order.\nAnswer: b, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 104013124?\nAnswer: -1560196860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 + 99 = 3*m, 5*c - 4*m - 110 = 0. Let b = c + 29. Calculate the highest common divisor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -38919 in ascending order.\nAnswer: -38919, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 19*w + 5. What are the prime factors of y(-15)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + 7*g**4\/24 + g**3 - g**2. Let m = -2214 - -2221. What is t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20 - 9*i**2 + 93*i**4 + 123*i**4 + i**6 - i - 7 - i - 601*i**4 wrt i?\nAnswer: 120*i**3 - 9240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0*w - 5*w = -25, -18 = -2*h - 2*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -51 - -55) + -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -4 - 15\/4*v**4 + 0*v**3 + 0*v**2 + 0*v**5 + 0*v**6 + 7*v + 1\/4*v**8 + 0*v**7. Find the third derivative of x(k) wrt k.\nAnswer: 1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238471902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmvvmvvvvmv. What is prob of sequence mmm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27218 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6316 is divided by 3139.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18968327.\nAnswer: 7, 19, 142619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 1791 = 5*v, -4*o = -3*v - 1799. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597.91382 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 + -179. Let s(u) = 5*u**3 - u**2 + u - 1. Let q be s(1). Suppose 2*g - 50 = -q*f, f + 3*f - 53 = g. What is the highest common divisor of z and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.8 + -58. What is the second biggest value in 2\/11, 0.79, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-30))\/(6\/20). Suppose -i + 10 = 5*x, 0*x = 5*i + c*x - 29. Solve 28 = i*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/16 - 1\/(-2). Let l(o) be the third derivative of 0*o - 3*o**2 + 0 + 1\/2*o**3 - 1\/6*o**4. Calculate l(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**2 - 642*g + 199. What is s(58)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466962 is divided by 487?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4953178907 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 -2*l*y**3 + 61450*l + 68477*y**3 + y**2 wrt y?\nAnswer: -12*l + 410862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3556 and 6464.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from aanaognnnanaaanona.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 32581.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 5, 164?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 - d - 3. Give p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 13919?\nAnswer: 34\/13919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 60 + 73)*(2*o + 0*o - 3*o) + 0 + o + 0 in the form b + r*o and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 328729571*l - 44349. Let r(h) = -14825*h + 2. What is -2*a(s) - 44349*r(s)?\nAnswer: 14783*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**5\/30 + r**2 - 1. Let x(c) be the second derivative of g(c). Let b(s) = 3*s. What is b(x(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 133118*f**2. Let n(x) = -x. Calculate n(y(b)).\nAnswer: -133118*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47562 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:42 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 13. Suppose 24*y + 5496 = 5688. Sort -21, y, g.\nAnswer: -21, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/20 + (-42)\/(-4). Suppose 6*f - c - 8 = 0. Let j = 33 - f. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17537927 divided by 1594357?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-4))\/((-1930)\/34740)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764564495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -5 + (-5)\/((-200)\/28). Let n = a - -4\/5. What is the nearest to n in 5, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 3. Let m be y(3). Find the second derivative of -57*k**3 + 8*k + m + 3*k - 12 - 12*k wrt k.\nAnswer: -342*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*v = -141682326 + 22897785. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16083 - 16088. Which is smaller: f or 0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -h + 59, -3*f + 4*f + 47 = h. Let z(s) = 1429*s + 20081. Let q be z(-14). Calculate the greatest common divisor of q and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.64. Let a = 0.09 - -0.51. Let v = a - w. What is the second biggest value in -5, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**9\/168 + v**5\/4 - 21*v**2. Find the third derivative of d(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2. Let r(a) = -9*a - 4752. Calculate r(m(u)).\nAnswer: 45*u**2 - 4752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 0*j + 9 + j - 4*j. Suppose 0 = -19*c + 227 - 227. What is z(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 - -0.03. Sort -4, d, 0.3, 14.\nAnswer: -4, d, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 13*c**6\/2 - 10*c**2 - 37. Find the second derivative of y(i) wrt i.\nAnswer: 780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-35))\/(((-34)\/((-4250)\/(-15)))\/(12\/(-40))).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -193, -1511, -5087, -12049, -23525?\n\"Answer: -188*c**3 - c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.13 (b) -1 (c) -2\/7 (d) -444 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20211*u + 1677522. Determine o(83).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qop when three letters picked without replacement from qophpbo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -36, -29, -8, 33, 100?\n\"Answer: j**3 - 2*j**2 - 2*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1453*j**3*r**3*u + j**3*r**2 - j**3*r*u + 76*j**2*r**2*u + 227*j**2*r*u - r**3*u wrt j?\nAnswer: 8718*r**3*u + 6*r**2 - 6*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 1881*r**2 + 6612*r - 3776.\nAnswer: -(r - 944)*(r + 4)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 1 + 35*n + 6*n**2 + 3 - 30*n - 7*n**2. Calculate z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/20 + 5*f**4\/24 + 5*f**3\/6 - 2*f**2. Let p(a) = 6*a**2 - 9*a - 9. Give 9*l(x) + 5*p(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9606529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493076 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 303544114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 - k + 16. Let x be a(0). Suppose 0 = -0*p - 2*p + x. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiifvifvv. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330)\/(-77))\/((-105)\/490).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11037.03 rounded to the nearest 100?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 2\/13, -3, -6.46, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216911649.\nAnswer: 3, 7, 17, 313, 28789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 52\/8)*2. Calculate the common denominator of -1\/14 and b\/(162\/(-124)) + (-3)\/(-3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13967 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(77)\/(2*sqrt(11))))\/((sqrt(378)\/sqrt(7))\/sqrt(9)*-6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhbhhhhhhhb.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 10*n**2 - 9*n - 8. Let h be u(-9). Is -35\/4 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 - 414. Let h be -9*(-2 - 2) + -2. Solve 0*v - 12 = v + k*d, 3*v - h = 5*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13264264?\nAnswer: 2, 13, 127541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:39 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2942 = 3*g - 2*p, -3*g + g + 3*p - 1958 = 0. Let i = -690 - g. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 15. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 631*d - 1940. Give n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 9*t + 9. Let c be d(10). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6975.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -154.01. Sort 0, 3, j, -1 in descending order.\nAnswer: 3, 0, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (515\/(-2884))\/(6*5\/120)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/2317 or -36?\nAnswer: -4\/2317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q + 4*q - 57 + 35. Let h be f(-9). Let b = 0 + h. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -10824, -1, 5, 3 in ascending order.\nAnswer: -10824, -5, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m + 54*m + 36 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z - 11. Let n(o) = 10*o + 10*o + 4*o + 7 + 0 - 17*o. Let y(g) = g**2 - 3*g + 1. Let w be y(4). What is w*m(x) + 8*n(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.4 greater than -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18057.45ng in grams?\nAnswer: 0.00001805745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d - 39. Let j be q(7). Let i be (9\/18)\/(-1*6\/j). Let s = -12 + 8. Which is the nearest to i? (a) s (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**4 - v**3 + v**2 + 3*v - 1. Suppose -1 = 4*x + 3. Let u(f) = f**4 - f**3 + f**2 - f + 1. Let l(w) = x*q(w) - u(w). Solve l(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -10, -3, -2\/21, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9942687 - 9942235 = 113*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211 + -102?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30939 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67163177702 + -37.\nAnswer: 67163177665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (3 - 13\/(-3))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1108*l**3 + l**2 + 399*l + 1 + 2.\nAnswer: -1108*l**3 + l**2 + 399*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420713?\nAnswer: 163, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30666632*t**2 + 13*t + 690060743.\nAnswer: 61333264*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-115115)\/39)\/161*(-6)\/5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.52 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174*x - 1169*x = m + 12, 0 = -2*m - 2*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 3, k: 1, y: 4, s: 2}. What is prob of sequence ssg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6011 - 3?\nAnswer: -6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4) + 5\/10. Find the common denominator of -33\/26 and (63\/66 + j)*-25.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38d463 + -5?\nAnswer: -38d468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6811009 times 1.31\nAnswer: 8922421.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1464 + -96727\/66. Find the common denominator of -46\/33 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 75 - 59. Suppose 0*w - 5*w = -5*r + 10, -2*r + 12 = -n*w. Which is the closest to -1\/6? (a) -0.4 (b) 0.2 (c) w (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/120 - t**4\/4 - t**3\/2 + 4*t**2. Let p(j) be the first derivative of h(j). What is the first derivative of p(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -129575687\nAnswer: 1\/129575687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/394 + -767\/2758. Sort 20\/7, c, -0.3 in descending order.\nAnswer: 20\/7, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d + 20. Let v be g(5). Is -0.1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 3. Let b(n) = -9*n + 5. Let y(z) = 3*b(z) - 5*c(z). Let f(x) = 3*x**2 - 283632*x + 283632*x. Calculate f(y(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 13) in base 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 4. Let h be q(-6). Let b(m) = m**2 + 6*m + 4. Let f be b(-6). What is the greatest common divisor of h and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 3*g + 57, -2*g = 0. Let k = i + -3. Let s be 5\/30 + 95\/6. Calculate the greatest common factor of k and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3338\/1295 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -20*i - 3*i**2 + 9\/4*i**3 + 48 - 1\/4*i**4 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**3 + 8*o**2 - 22*o + 4.\nAnswer: 2*(o - 1)*(o + 2)*(5*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6494?\nAnswer: -1\/6494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 - 11*k - 9. Let x be (3 - 14)*(5 + -6). What are the prime factors of h(x)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutcctbbcccb. Give prob of picking 1 t and 2 c.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3157749?\nAnswer: 3, 7, 50123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3621 and 654279.\nAnswer: 46453809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 763?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 13*p + 214, 5*q + 192*p = 190*p - 47 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.4404 rounded to one dp?\nAnswer: 148.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, i: 2, x: 6}. What is prob of picking 2 i and 2 j?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/103, -0.5, 0, 2, -3, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94041 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -0. Let x(i) be the first derivative of i**4\/4 - 4*i**3\/3 + 2*i**2 - 3*i + 3. Calculate x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3214212042 (base 5) to base 11.\nAnswer: -3917250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 1, b: 3, c: 1, k: 5}. What is prob of sequence boc?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**8*q**5*q**8\/q**(2\/5)*((q**(2\/3)*q)\/q*q*q*q*q\/q**(-7))\/((q\/(q\/(q\/q**(-4\/5)*q*q)))\/(q*q\/(q**(2\/7)*q))) assuming q is positive.\nAnswer: q**(1594\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -523650 - -523594.0062. Let r = g + 56. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-4960))\/((-24)\/20*4\/(-8))?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s. Let b be 3 - ((-12)\/3)\/2. List the prime factors of u(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1438305 by -130755.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + h = -3*h - 26, -r - 17 = 3*h. Let d = r - -8. Which is the nearest to 1? (a) d (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n**2)\/(n**(-1\/21)*(n\/(n\/(n*n\/n**(1\/17))))\/n) assuming n is positive.\nAnswer: n**(947\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -9*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Suppose s = 6*s - 235. Suppose -4*x = -5*r + s, -4*x + 6 = 2*r + 4. Let i(t) = 5*t. Give r*n(w) - 3*i(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -27*v - 154. List the prime factors of r(-40).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b - 175*b - 52*b + 4968 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 25*j = 3*m - 2, 0 = 3*m - j + 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.594 - -0.054. Let t = j - -0.31. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-8))\/15 - 127\/(4572\/1485).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1861 (base 15) to base 14.\nAnswer: -1cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {c: 1, g: 8, z: 1, d: 6}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y - 1002. Let z be c(84). Solve 3*d - 5*x + 11 = 0, z*x = 3*d + 10*x - 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-17))\/k)\/(k**(-17\/3)\/k)*(k**(-3\/7))**(2\/13) assuming k is positive.\nAnswer: k**(6443\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.643716l?\nAnswer: 2643.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -95 + 115 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g**2 - 9*g + 6*g**2)*(-3 - g + 3).\nAnswer: -2*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 2. Let w be p(-2). Suppose w*l + 83 = l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*v + 10, 5*w - v - 29 = -4*v. Suppose 3*s + r - 25 = 0, r + 42 - w = 4*s. What is the smallest common multiple of 11 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 10 = 25*r. Suppose 0 = j + 5*w, j = -0*w + 2*w + 14. What is the greatest common factor of r and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1 + -221b?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**2 + 0 + 0*b - 1\/24*b**4 + 4\/3*b**3. Let o be s(5). Solve v = 6*v - 3*u + 5, -3*v + 3 = -o*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 4*z + 39*z**2 + 4*z.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 2.5. Let u = -50.4 - -51. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -25*w + w + 3*w. Let g(s) = -1437 + 203*s + 483 - 195*s + 472 + 482. Calculate g(c(d)).\nAnswer: -168*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19851154189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -908.\nAnswer: -5\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 53*h - 88. Calculate s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 24, 56, 122, 234?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -g - c, -925*g + 2*c + 10 = -928*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, i: 2, l: 3}. What is prob of sequence llg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2322103210 (base 4) to base 5.\nAnswer: 143404413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-19)\/(1311\/(-75))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(9945\/39) + 52\/480.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1636 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 240951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*j - 2947 = -7*y, -2*y - 2*j = -1496. What are the prime factors of y?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/120 - 2*t**5\/15 - t**4\/3 + t**3\/6 - 3*t**2. Give o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3)*((-902)\/(-246))\/(21\/(-63)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*p + 2*l = 2, 0 = 2*l - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/((-300)\/14))\/((-28)\/8)*(-4)\/1.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hhhhhoohhhoh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, p: 5, e: 2}. Give prob of sequence eepz.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.75 + -111.75. Let w = -111.0000111 - c. Round w to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.48 - -4.18. What is the third smallest value in 1\/5, q, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.6 - -97.6. Let i = 0.3 - 0.3. Let n = 0 - i. Which is the closest to j? (a) 3\/4 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28788*y**3 - 10*y**5 - 28788*y**3 - 81*y**2 + 3*y**4 wrt y.\nAnswer: -600*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - (-90 + 63)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331\/180 - 139\/45. What is the nearest to 2\/7 in 0.2, -3, 19, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 3440 = 20*i. Suppose 0 = -3*x - r - 383 - i, -4*x = -r + 1669. Let q = -273 - x. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t*t)**(1\/32)*((t\/t**0)\/t)**(-4\/11))\/((t**(-3\/5)\/t*t)**(-32))**(-19\/4) assuming t is positive.\nAnswer: t**(7301\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1444 = 4*b - 1434, -30 = -20*y + 5*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y - y + 0*y + 3*y - 5*y + (-3 - 4 + 5)*(-4*y + 0*y + 5*y) - 2 + 2 - 2*y)*((3 - 4 - 1)*(12 + 6 - 11) - 1 + 0 - 4) to k + z*y and give z.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = -2*q - 1, 5*q - 25 = 3*u. Suppose -q*o - 9*r + 8*r = -618, 1545 = 5*o + 3*r. What are the prime factors of o?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/474545?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 25 - 33)*(3*l + 4*l + 8*l) to h*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129254860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1130112033 (base 4) to base 16\nAnswer: -5c58f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1167*t**3 - 193*t - 1 wrt t.\nAnswer: -7002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*-2*(-3)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 269 - 2*t - 90 - 90.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6037498 and 5611?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 8*r**2 + 1. Let i be l(-8). Calculate the common denominator of 5*4\/28*5 and i\/(-3) + (-884)\/48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 54*b = -559 - 81 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k. Let l(w) = -7*w**2. Let c(t) be the second derivative of -95*t**4\/6 - 27*t. Let m(x) = -2*c(x) + 55*l(x). Calculate m(r(y)).\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28311 + 28315. What is the second smallest value in -21, 9\/5, n?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.86565 and -2?\nAnswer: 7.7313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1846\/39 + -6)*99 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 49 + 7 + 34 + 65*v. Let b(z) = -11*z - 15. Let t(d) = -35*b(d) - 6*r(d). What is the remainder when 57 is divided by t(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*b - 468*b + 127*b.\nAnswer: -572*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -0.2, 5, -2 in ascending order.\nAnswer: -6, -2, -0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*v = 412, r = 2*r - 4*v - 68. What is the highest common divisor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))\/(a\/((a**(-1)*a*a)\/a)))**(6\/17) assuming a is positive.\nAnswer: a**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 + 0.013. Let v = 2.653 - y. Round v to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, 0.3, -2\/873, -96?\nAnswer: -2\/873","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001240107627 rounded to six decimal places?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1081*(-1)\/2*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) -0.12 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*20\/(-8)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*s + 0 + 2 = 0, -4 = -4*s. Let a be (z - 1)*(2 - 4). Differentiate 9*r**2 - 12*r**2 - 7*r**3 + 10 + 3*r**a wrt r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 4*a**3 - 2 + 4*a**4 + 0 - 3*a**4 - 6*a**3 - 2*a**2 as k*a**3 + z*a + x*a**2 + m*a**4 + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 16450813 and 3.\nAnswer: 16450816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/287 + 18637\/1435. Suppose -36\/5*b**4 + 0 + 6\/5*b**5 + z*b**3 + 0*b - 36\/5*b**2 = 0. Calculate b.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*l, -5*n = -2*l - 0*l - 18. Let o be 26\/(-40) + (-210)\/(-525). What is the nearest to o in 0.5, 1, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -21 - 4*z**2 + 5*z**2 + 21. Let a(u) = -2*u. Give v(a(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.192 - 13.1. Let n = -0.592 + x. Let k = -3.4 - -3. Sort n, -2\/7, k, 3 in ascending order.\nAnswer: n, k, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 13258430*p**3 - 59642055*p**2 wrt p.\nAnswer: -60*p**2 + 79550580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 9*p - 6*p, -q - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 1171\/2. Let u(g) = -g**2 + 5*g + 16. Let x be u(7). What is the closest to w in -0.07, x, 4\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6) + sqrt(11) + 5 + -3)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -663 - -5?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1723.65 + -4114444.\nAnswer: -4116167.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1460 divide 13153140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let l = -2 - z. Suppose -2*u + 16 + 4 = l. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1324 = 2*h, -3*n - 2*h - 3184 + 1198 = 0. Let d = -273 - n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2403 - 1542. What are the prime factors of v?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffuffuuf. Give prob of sequence ff.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 115. Is d + (28\/8 + -4)*-5224 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 2, a: 1, r: 3, f: 1, e: 1, j: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296, 1496, 1764, 2052, 2312?\nAnswer: 2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 2*i - 21. Let b(f) = -4*f - 2*f + 2 - 3 + 4*f + f**2. Let y(q) = -18*b(q) + 2*d(q). Let y(z) = 0. Calculate z.\nAnswer: 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + sqrt(13) + -4 - sqrt(78)\/sqrt(6)*4)*1*-1)**2*-3.\nAnswer: -354 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 plus -40316?\nAnswer: -40318.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -5*h + 15, 0 = -4*d + 20. Find the second derivative of -v**3 + 12 - 8 - h + 2*v wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 10*w - 10*w - 2*w + 9*w**2.\nAnswer: 15*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*m + 40*m + 2. Let o(i) = 0*i**m + 12*i - 7*i - 2*i - i**2 + 11. Let h be o(5). Solve 2*u - 3*c - h = 3*u, 6 = -2*u - 2*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/780 - ((-30)\/72 + (-1)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -49 + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 176, 114, -46, -334, -780?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 57 = -4*x, -2*x + 0 + 28 = -2*y. Suppose 174 = 4*v - 10*b, 2*v - 96 = 67*b - 71*b. Calculate the remainder when v is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-7 - (-7 - -4)) - (-244 - -247).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/33)\/(33\/(-66)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b - 3. Let a be p(-4). What is the common denominator of (-4)\/6*a\/(-12) and 103\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2634 + -51700?\nAnswer: -47044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -3. Suppose 4*v - 2*v + 68 = 4*y, b*v = -2*y + 46. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.9. Let m = 46.8 - 43.8. Let f be (-2)\/4 - 18\/(-28). What is the closest to c in -0.5, m, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163527208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 412580?\nAnswer: 38369940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from ffdffffdf?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 3, k: 4}. Give prob of sequence kkvv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 28 = 0. Let i = h - 3. Suppose -5*c = 3*n + 2*n - 20, -4*n + 2*c + 28 = 0. What is the smallest common multiple of i and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 492 = 222 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390*l**4*q + l**3*q**2 + 3*l**2*q**2 + l**2*q + 7*l*q**2 + 5*l wrt l?\nAnswer: 9360*l*q + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2220416*u**2. Let f(r) = 2*r. Give d(f(m)).\nAnswer: -8881664*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m**3 + m**2 - 7*m - 13. Let p(f) = 7*f**3 - 3*f - 6. Let u(r) = -6*d(r) + 13*p(r). Let c be u(6). What is the tens digit of ((-130)\/4)\/((-3)\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:10 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, 13462 in increasing order.\nAnswer: 1\/2, 1, 13462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11782*l = -11778*l + 5*o - 12, l - 130 = -33*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1090 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137 or 136?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 - -5?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/96 and 57\/108*77\/22.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106330560 by -960.\nAnswer: -110761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - 25*s**3\/6 + 47*s**2 + 33*s. Let k be q(22). What is the highest common divisor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177\/2 - 89. Let g = -382.2 + 382. Let i = 4.4 - 4. Put g, s, i in ascending order.\nAnswer: s, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.75111ng to milligrams.\nAnswer: 0.00005075111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-91) + 152\/7. Suppose 133 = 5*a - h. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -93, -245, -525, -975, -1637, -2553?\n\"Answer: -7*c**3 - c**2 - 14*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -4*(sqrt(1539) - (sqrt(1539) + (sqrt(1539)*2 - sqrt(1539) - sqrt(1539)))) + 1 + sqrt(1539) + 4 + -4)**2.\nAnswer: 36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s**3 + 13. Let h(c) = -8*c**3 + 6. Suppose -8*d = -5*d - 39. Give d*h(a) - 6*m(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46552*n**3 - 954763*n**2 wrt n.\nAnswer: 279312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-31 - -212) + -97)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/5526 and 53\/4912.\nAnswer: 44208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**8\/560 - v**5\/40 + v**3 + 1. Let b(z) be the third derivative of s(z). What is the second derivative of b(m) wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21679 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401859744 divided by 3432.\nAnswer: -117092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2. Suppose 8 = 4*p - 4*u, 0 = -2*p - 0*u + 5*u + 1. Let w(a) be the second derivative of 0*a**3 - p*a + 0*a**2 + 0 - 1\/12*a**4. Give l(w(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 18*a + 84. Let l be h(-16). Calculate the common denominator of -2 + -19*1\/16 and 190\/l + 5 - 2*3.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 23 = -2*t + 5*s, -4*s = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 29*f = 275. What is the thousands digit of ((-5)\/f)\/((-7)\/52465)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*b + 39*b + 6*b**3 + 77*b.\nAnswer: 6*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 636 + -617. Sort 3, c, 7 in decreasing order.\nAnswer: c, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 120, 123, 126, 129, 132?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 26 = -4*t + 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12876 + -12875.998893. What is b rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46660447, 93320888, 139981329, 186641770, 233302211, 279962652?\nAnswer: 326623093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/4 + (-351)\/(-4) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 620?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**5 + 51*y**3 + 20*y**2.\nAnswer: -120*y**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + -9. Let z be -3 + (a\/2)\/(-7). What is the second smallest value in z, -1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 - (-86 - 72 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 260*i.\nAnswer: 5*i*(i + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1076 = -2*q, 5*q - 1104 = -19*z + 15*z. List the prime factors of z.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -77497844.\nAnswer: -387489220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1513, 1196, 3917, 6656, 9419?\n\"Answer: v**3 + 2702*v - 4216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ca1 (base 13) to base 3\nAnswer: 2221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = -5*x - 5, 4*x - 5*v = -1. Let o(u) = 7*u + 1. Calculate o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y - 5*o = 19, 2*y - 4*o - 24 = 0. Let a be (7 - y)\/(2 + -1). Suppose -139 = -a*n + 36. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 211 + 1469 = 0. Calculate the remainder when 502 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*q - 202*q + 31*q + 20667 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11912 = 26*k - 24*k, -u + 29787 = 5*k. List the prime factors of k.\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(133)*1 + sqrt(133))\/(sqrt(7) - 4*sqrt(63)).\nAnswer: -3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27738.94 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(-1 + -1). Suppose 5*n + 5*z - 4*z - 66 = u, 4*n - 64 = 2*z. What is the smallest common multiple of n and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 624*w**4 - w**2 + 283.\nAnswer: 2496*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 4. Let s(a) = a + 8. Suppose -4*n + 5 = n. Let y(v) = -n + 3 - 1. Determine m*s(b) + 6*y(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*s = 8, -9*s + 6*s = 2*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 1540957.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 63. Let f be s(-5). Suppose f = 14*c + 18. Solve q + c*q = -24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 - 2 = i, o = 5*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1266 - 1257. Calculate the remainder when 15 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*s - 2*i, -40 = -2*s - 5*i - 0. Is s at most as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 1 + sqrt(19) + 5*(sqrt(19) + -2).\nAnswer: -9 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**7\/504 - k**4\/12 + k**2. Let u(z) be the second derivative of m(z). Factor u(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.154, 6, 0.2 in ascending order.\nAnswer: 0.154, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by ((-36)\/(-21))\/(-4) - 155\/(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -19*q. Solve -5*x + 23 + 2 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose 0 = -4*i + 5*i - 2*l + 142, 4*i + l + 604 = 0. Find the common denominator of (-1)\/m*i\/(-16) and -76\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 + -111. Let w = -136072 - -136124. What is the remainder when z is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*84\/(-14) - 4. Let b(z) = 2*z**2 - 21*z + 32. What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - (-1 - 0))*(-51)\/(-68). Let t = 18 + g. Suppose 0 = a - t - 60. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100215334 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: Suppose -2*n = 4*t - 5*t + 137, -4*t = -2*n - 572. What is the highest common divisor of t and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l + 6. Let w(q) = 3*q + 3. Let k be w(-2). Let p be o(k). Let a be 2\/33*p\/(-2). What is the biggest value in 0.2, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/5616 and 173\/240.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r - 37. Let p be z(11). Let q = -105 - p. Calculate the greatest common divisor of q and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/4338 - -206299\/1192950. What is the common denominator of 52\/605 and j?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 193*l + 1215. Calculate t(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2767 or -423?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*i + 97 = 0, -6*i + 2*i = -3*v + 56. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/4)\/(7\/((-56)\/12)). Suppose 0 = -r + a + h, 15 = 5*r - 2*a - 18. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/114 + -2\/19. Let w = -17465 + 17464. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/(1\/15). Let j be 1*(-2 + 0) + f. Does 25 divide (j\/3)\/((-2)\/37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31696, 31883, 32058, 32221, 32372?\n\"Answer: -6*b**2 + 205*b + 31497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2*p - 1. Let f be l(1). Suppose c = -2*v + 5*c + 18, 0 = 2*v + f*c. Suppose 4*q = 5 + v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, -6, -2, 1, 92 in increasing order.\nAnswer: -25, -6, -2, 1, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 9. Let k be p(19). Let a be 21\/105 - 2\/k. Suppose a = 5*o + 24 - 94. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 + 0 + 10*u**2 - 6*u**2 + 2*u. Let m be w(-1). Solve -7 = -2*o - 0*o - m*s, 4*o - 3*s + 31 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**(-2\/33)*a)*a)\/a)\/a**14*a\/((a*a**(6\/11))\/a)*a*a\/(a**(3\/25)*a) assuming a is positive.\nAnswer: a**(-9574\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5064 = -50*s + 2586. Solve 20*z = 3*z + s for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9, 0 in decreasing order.\nAnswer: 9, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 48119658*i + 192958457169747.\nAnswer: 3*(i - 8019943)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -20. Suppose w + o = 4*w. Let p = 1 + w. Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 364*l - 1077. Give t(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281768793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 759 and 0.4.\nAnswer: 759.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144048850 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23. Let s(d) = 107*d + 5. Let i(z) = 46*z + 2. Let o(p) = -7*i(p) + 3*s(p). What is 2*o(n) + t(n)?\nAnswer: -2*n + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:33 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/10)\/(((-12)\/50)\/(81\/135))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*n**2 - 34*n + 2*n**2 + 34*n as x*n + j*n**2 + d and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/46*2384\/(-2980)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123\/2 - 61*r + 1\/2*r**2.\nAnswer: (r - 123)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let y(x) be the second derivative of 617*x**4\/4 - x + 92. Calculate y(g(v)).\nAnswer: 7404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (111 - 105) + (-7 - 0) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 32. Let c = 2 + -2. Suppose -2*q - 3*v = -5, i = 2*q - v - c*v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/671 + 2698\/4697. Let s = 14 + -18. Which is the biggest value? (a) k (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)*(-1478)\/(-2). Let f = h - 488. Let b = -177 + f. What are the prime factors of b?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87537, 88684, 89827, 90966, 92101?\nAnswer: 93232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x = -24*x - 96. Calculate the remainder when (4 - 2)\/(4\/94) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050702, -2101404, -3152106, -4202808?\nAnswer: -5253510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/19)*y)*y)**(-31)*(y\/y**(-3\/26)*y)\/((y\/(y**43\/y*y))\/y) assuming y is positive.\nAnswer: y**(5361\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.349619 millennia to decades.\nAnswer: 334.9619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2155 - 2134.91. Let t = y + -20. Let s be (25\/(-7 - -2))\/1 + 5. Is s > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.2 (c) 3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65120\/880*6\/13098?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) 13 (b) 0.07 (c) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/990 and 111\/10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 83543800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -577, -1128, -1675, -2218, -2757, -3292, -3823?\n\"Answer: 2*z**2 - 557*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let m(p) = -p**3 - 5*p**2 + 12*p + 20. Let n(f) = m(f) + 4*z(f). Let s be (-44)\/7 + 2\/7. Let c be n(s). Solve -4 + c = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17362 - -331521. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 1. Let b(s) = 2*s**2 - s. Let l(q) = 3*b(q) + 3*i(q). Differentiate l(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364410 is divided by 6748.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**5\/10 + 3*y**4\/4 + 7*y**3\/6 + 27. Find m, given that s(m) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1794 or 1?\nAnswer: 1\/1794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(108) - (-2 + 2*sqrt(108))))*-1 + 1 + 3*-1*sqrt(108) + -3)**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 5*h + 4. Let l be w(-4). Let i be (-6)\/(-10) - 7\/(-105). Factor 0*d**4 + 0*d + 0 - 2\/3*d**3 + i*d**5 + l*d**2.\nAnswer: 2*d**3*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5614 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 7*k**2 + 4*k - 8. Let w(d) = -d**2 - d - 1. Let u(c) = -3*w(c) + z(c). Let l be 2\/5 - 64\/10. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c*c*c**(6\/7))**26)**(2\/19) assuming c is positive.\nAnswer: c**(-1508\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -1\/6 (c) 18 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from kqkzqqqzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 494*w**2 + 52*w. Let z(a) = -47*a**2 - 5*a. Let p(q) = 5*v(q) + 52*z(q). Let t(r) be the third derivative of r**5\/30 + 63*r**2. Give t(p(x)).\nAnswer: 1352*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 + 5*h - 6. Suppose c - 9*c + 792 = 0. Let n = 103 - c. Calculate q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267155620*h**5 + 72990188*h**2.\nAnswer: 16029337200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5424091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edywwwzw. What is prob of sequence ze?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 150. Let u(v) = -2335*v + 23. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d - 275*d + 87*d - 1 + 92*d + 1.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:42 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 y when three letters picked without replacement from jyybbjybbpjjbjccbc?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -45. Let f = -16 + 23. Put f, s, 0.2 in ascending order.\nAnswer: 0.2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 43332 - 173*j - 43321 + 86653 - 5*j**4 as l*j**4 + o*j + n*j**3 + a*j**2 + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1891.116 millennia?\nAnswer: 189111.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3965*(0 + 16\/20) + 0?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**6\/6 - 2*k**5 - 15*k**4\/4 - 254*k. Factor j(m).\nAnswer: 5*m**2*(m - 9)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-1122))\/((-10)\/(-385))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y - 74566 = 18*y. Suppose -2*q - 3*d + 2703 = 3*q, 3*q + d - y = 0. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1560 in -1, -0.4, 6\/259?\nAnswer: 6\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + (-12 - -7 - (25 + -21 + -23))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 12*f - 242. Determine h(12).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/23, 0.205, 0?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002101036 rounded to seven decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, w: 1, f: 1, o: 1, m: 2}. Give prob of picking 1 g and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -8)\/(3 - 1). Suppose -46*f + 45*f + 23 = m. Solve 0*t - 3*t - f = -5*i, -5*t = 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = h - i, -12 = -2*h - 3*i. Put 4, -4, h in descending order.\nAnswer: h, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-78) + 2225\/(-178)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 5:11 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ododxxkoo. Give prob of sequence oox.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -158. Let l = b + -15. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/267764 and -33\/31825664?\nAnswer: 222779648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44406 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.019, 1\/2 in increasing order.\nAnswer: -3, -0.019, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**5 + 3*d**3 + 1749*d**2 + 1274*d - 3?\nAnswer: -60*d**3 + 18*d + 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 14*t - 18. Let u be z(11). Suppose i - u = -2*i. Suppose -i*o - 25 = 0, -6*o = 5*g - 2*o + 25. Let y(q) = -6*q + 1. Determine y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.61928777 plus -39?\nAnswer: -45.61928777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/10 - 3*z**4\/10 - z**3\/2 + 3*z**2\/10 + 2*z\/5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 3353.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-56) - 6\/21. Let u = 74 - 74. Suppose 3*m + u*m = 3*p + 27, 2*m = 3*p + 22. What is the third smallest value in k, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387 and 9684285?\nAnswer: 1249272765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -61. Let m(z) = 4*z**2 - z + 10. Let g(w) = -11*w**2 + 2*w - 29. Let r(y) = o*m(y) + 6*g(y). Determine r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((-1*sqrt(13) - sqrt(13))*2 + 0))**2 - ((-1*sqrt(416) - sqrt(26))\/(-3*sqrt(288)))**2.\nAnswer: 2427083\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Suppose -5*w + 2*j = -7*w + 4, 5*j - 6 = -4*w. Suppose -7*a + 19 = 4*x - 4*a, -2*x + 4*a = -w. Solve t*u = 6 + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-95)\/760)\/(205\/(-210) + 1))\/((-1)\/(-8))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11081221 and 33193.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141442 (base 6) to base 14.\nAnswer: 4c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14434 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 29 = 5*t, 26 - 16 = 5*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**3\/33 - 4*n**2\/11 + 6*n\/11 - 11. Factor c(r).\nAnswer: 2*(r - 3)*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140698 + 109449. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*s**2 + 2*c*s*y - c*s - 7*c - 2*s**3*y + 10*s**2*y + 4*s**2 wrt s?\nAnswer: 6*c - 12*s*y + 20*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 658266115 a multiple of 6981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/45)\/p**(-4))\/(p**(2\/3)\/p**(-1)) assuming p is positive.\nAnswer: p**(107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-656)\/6))\/((-88)\/((-65120)\/(-185)))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:27 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s + 69. Give l(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3147, 12466, 28017, 49812, 77863, 112182?\n\"Answer: 2*f**3 + 3104*f**2 - 7*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/171*(-21)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = -35*b + 69*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p*r**3 + 42*p - 3*r**5 + r**3 + 3*r + 5 wrt r.\nAnswer: -42*p*r - 60*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (912\/(-8) + 2)*(76\/190)\/((-8)\/20).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 126*i**2.\nAnswer: -126*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 7*w**2 + 14*w**2 + 4*w**2 - 31*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 34038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 1. Let h(q) = 4 + q**2 - 2*q - 3*q + 2*q - 2*q. Let d be h(2). What is l(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*u + 420*u - 91962 + 91965.\nAnswer: 4*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 41*f**2 + 19*f + 80. Let l be j(-41). Let n = 25 - l. List the prime factors of n.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 37, 66, 103, 148?\n\"Answer: 4*r**2 + 9*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -13*o**4\/12 - 10*o. Determine n(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8625, -17229, -25817, -34383, -42921, -51425, -59889?\nAnswer: -68307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 + 10*w**2 - 28*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11543?\nAnswer: 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l = 48*l + 114. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27727 - -0.4?\nAnswer: -27726.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*q - 1089 = 468 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*m + 21 + 1, -2*m = -2*c - 28. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33 and -18402 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7000048*w - 4 - 4 + 8.\nAnswer: 7000048*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -22*o**4 + 928*o**3 - 146*o**2 - 928*o + 168 = 0.\nAnswer: -1, 2\/11, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 160173619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.3, -44, 5, 4, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52574?\nAnswer: 2, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 7:49 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.74 - -0.26. What is the second smallest value in h, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (1 - -2) + 0. Suppose 3*m = 4*q, -q - 15 = -p*m - 2*q. Solve -9 - 3 = -m*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-410)\/6)\/((-18505)\/11103).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(9) + sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3))*-2).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18596417*u**6 - 2*u**2 + 2*u + 180662 wrt u?\nAnswer: 2231570040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2910 - -2905. Let n = -0.22 + 0.2. Which is the smallest value? (a) n (b) 7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 1 + 9. Let g = 2\/13 - 17\/26. Let o = 4 - 4.3. Which is the nearest to g? (a) 1\/3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60378, 60381, 60384, 60387, 60390?\nAnswer: 60393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-918)\/(-126)*7\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 + k + 1. Let q(v) = 36*v**2 + 5*v + 6. Let y(i) = 11*c(i) - 2*q(i). Let a be y(1). Solve 3*j - a*l = -13, -3*j + 0 = -4*l + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 300913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 14 - 14 + 4*w - 4*w**2. Let s be t(-5). Suppose 5*h + 8 = 3*u, -s*u - 2*h = -h + 24. Which is the third biggest value? (a) 2 (b) u (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 255 = -234 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12687, 12689, 12693, 12699, 12707, 12717, 12729?\nAnswer: 12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13549 is divided by 3192?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 m when four letters picked without replacement from mzzozmmm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -41, -134, -327, -656, -1157, -1866?\nAnswer: -2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242578048877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.158 * 3.\nAnswer: 0.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3 + 22. Let f = -28 - -42. Let g(j) = -3*j + f*j - 8*j. Give g(i(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3288927 meters in kilometers?\nAnswer: 0.0003288927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -132, -49 in increasing order.\nAnswer: -132, -49, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-6) + 4\/6. Let z = k - 4. Suppose 0 = 2*w - 2, -z*h - 5*w + 9 = -0*h. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -0.12, 80, 1\/4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0, 0.1, -9, -0.0198 in decreasing order.\nAnswer: 0.1, 0, -0.0198, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 + -16 - (-84 + 51).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3 + 2 = -3*q, 3*q = m + 20. Suppose -3*v - 3*f + 33 = 0, 3*v + 3 = q*f - 4. Let c(s) = -2*s + 9. Determine c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-8)\/(-224))\/(15\/(-12) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 34. Let u be b(-18). Let s = u + 0. Suppose s*i + 10 = 4*i. Let o(q) = q**3 - 4*q**2 - 4*q - 5. Calculate o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1a1896?\nAnswer: -1a1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65198670 a multiple of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 + 4*d**5\/15 - 13*d**4\/24 - 17*d**3\/3 - 33*d**2. Let k be c(15). Let a(z) = -z**2 + 4. Calculate a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrcrc. Give prob of picking 2 r and 1 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8952?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2510674, -5021349, -7532024?\nAnswer: -10042699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 1 - 7)*(0 + 0 + x**3) + (-3 + 3 - x**2)*(2 - 2*x - 2) to the form b*x + a*x**2 + z*x**3 + i and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = 3*w + 66, -4*w - 76 = -3*g. Calculate the greatest common factor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -4 - (1 - (-1 - 0)) - 40?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 4*v**5 + 2*v**5 + 3*v**5 + 0*v**5 - 2*v**5 + (-v - 2*v**3 + v)*(v**2 - 3*v**2 + v**2) - 7*v**4 - 8*v**4 - 7*v**5 + 16*v**4.\nAnswer: -2*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1447919 not equal to -24614609\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxp when three letters picked without replacement from ytxtzstzspyz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = f. Suppose 40 = 5*j + 3*x - f*x, j = -4*x + 29. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36 in -5, -11, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -565447*g + 565656*g - 14839 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 584*i - 76482. Give j(131).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 137 - 135 = 0. Let j(y) = -y**2 - 1. Let f(n) be the second derivative of -n**5\/10 - 7*n**4\/12 - 7*n**2\/2 + 4*n. Calculate a*f(l) + 14*j(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:13 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3\/23 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 12*j + 17. Let h be r(7). Let q = 435 + h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, s: 5}. What is prob of picking 1 s and 2 t?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 24, 36?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - h**3 - 367*h**2 + 367*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**10\/12960 + n**9\/9072 - n**8\/10080 - n**4\/4 - 6*n**2. Let m(r) be the second derivative of j(r). Factor m(g).\nAnswer: g**3*(g + 1)*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*z - 15997 + 13897 = -44*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/10 - 141*i**4\/10 - 131*i**3\/5 + 1128*i**2\/5 + 2224*i\/5 = 0.\nAnswer: -139, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733569?\nAnswer: 1733569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015977001 to 6 dps.\nAnswer: -0.015977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.1, -2\/5, -68\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23469, 23470, 23469, 23466, 23461?\n\"Answer: -f**2 + 4*f + 23466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*r**4 + 5*r**5 - 8*r**4 - 12 - 3*r**3 - 33*r**2 - 2*r**5 - 4*r - 32*r = 0. Calculate r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*x = -167*x - 36. Let q be (5 - 4)*5\/(-1 + x). Is 5\/123 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 3*a - 8*a)*(0 + 73*a + 5 - 70*a)*(0*a + 2*a + a + (-1 + 1 - 1)*(-5 + 2*a + 5)).\nAnswer: -15*a**3 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.037317 and -13.\nAnswer: -12.962683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(-5 + -4). Suppose -5*n - 13 = 4*x, w*n + 4 = -11. Suppose b - 1276 = -x*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r. Suppose v + 11 = -r. Let o(m) = -2*m - 14. What is the units digit of o(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 m when three letters picked without replacement from atvvemaeevevmvvea.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2008 - -470b?\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184\/7 - (-26)\/(-91) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k - 7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66, -1075, -3742, -8895, -17362, -29971, -47550?\n\"Answer: -138*m**3 - m**2 - 40*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 31*h**2 - 78*h - 172. Let u be l(28). Let t(v) = -v**2 - 5*v. Let a(o) = -6*o. Calculate u*t(q) + 3*a(q).\nAnswer: 4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 15*u + 12. Let z(f) = -4*f - 3. Calculate 2*j(i) + 9*z(i).\nAnswer: -2*i**2 - 6*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4242 and 1414.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 101371218.\nAnswer: -20274243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 3*g + 3. Let n be (-3 + -2)*(-12)\/5. Suppose 4*w + 3*s + 18 = 0, -w - 3*s = 2*w + n. Calculate q(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((0 + -3)\/(-3)). Let y = 0 + 0.3. Which is the second smallest value? (a) y (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9852 + -9844. What is the remainder when 3\/12 + 406\/8 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15691830 and 26334.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c - v + 67, -5*c = -4*v - 161. Solve c = 13*l + 98 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 94381532.\nAnswer: -1\/23595383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - w + 103 = -5*w, 13*t = 3*w + 33 + 72 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 716 and 18?\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 148. Let g be 5\/(-3)*d\/1288. Let p = g - -3\/46. Calculate the common denominator of p and -11\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + i - 577. Let u(l) = -25*l**2 + 4*l - 2307. What is 9*h(b) - 2*u(b)?\nAnswer: -4*b**2 + b - 579","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0 - 392\/13*a + 56\/13*a**2 - 2\/13*a**3 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32ae (base 16) in base 13?\nAnswer: 5ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -7 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.04, -0.2, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**7\/168 - d**6\/120 + 3*d**5\/40 + 7*d**4\/24 + 11*d**3\/24 + 3*d**2\/8 - 4*d. Suppose o(k) = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 224 = s, 18*i - 12*i - 5*s - 16 = 0. What is the smallest common multiple of i and 14\/(-2 - 24\/(-10))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + -2 + (sqrt(200) + 0 + 3)*2)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 280*w - 93. List the prime factors of d(4).\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2aa (base 14) to base 2\nAnswer: 1000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(245) + 2 - (sqrt(5) - (-5 + sqrt(5)*2) - sqrt(5))) - 2*((sqrt(605)*-1 - sqrt(605))**2 + 0).\nAnswer: -4852 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4752) + ((sqrt(4752) + (sqrt(4752) + sqrt(4752)*2)*-3 - sqrt(4752)) + sqrt(4752) - sqrt(4752)))\/(sqrt(110)\/(5*(sqrt(10) + sqrt(160)))).\nAnswer: -2400*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50\/23 in -18, 0, 477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - -58) + (-16 + -5 - -12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -28?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(-43)\/(u**6*u*u**4))\/((u*u**(3\/4)*u)**(22\/5))**(20\/3) assuming u is positive.\nAnswer: u**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30915143657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, -1\/4, 1 in increasing order.\nAnswer: -1\/4, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5545 + 5545.1. Let d = -4 - -7. Which is the closest to t? (a) 1\/2 (b) 4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 + 1959*t**2\/5 + 3909*t\/5 + 1953\/5.\nAnswer: 3*(t + 1)**2*(t + 651)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/12 - (3 + -4)) + 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 246 - 132. Suppose -3*r + 33 = -p. Calculate the remainder when r is divided by 33\/2 - (-1)\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -760 - -4246. What is the greatest common factor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 0, -83*x + 82*x + 2 = f. Which is bigger: 1\/270 or x?\nAnswer: 1\/270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 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: Let o = -5\/366 - 173\/732. What is the closest to 0 in 0.3, 377\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/854667 and -127\/90.\nAnswer: 8546670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23684 * -0.1\nAnswer: -2368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = i - 23, 6*r + 34*i - 20 = 29*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11446*m**2 + 19*m**3 - 11445*m**2 + 34329*m**2 - 11438*m**2 - 5*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298918 is divided by 99022.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 4.94. Suppose 0 = 65*g - 25*g - 120. What is the nearest to -1\/4 in g, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42472 and -1170.\nAnswer: -43642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 - 697*k**5\/60 - k**4\/24 - 42*k**3 - 3*k**2 + 132. Find the second derivative of q(y) wrt y.\nAnswer: -6*y - 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -j - 5, -4*o + o - j = -10. What is the remainder when (-20)\/(-1) + o + -4 is divided by (-196)\/(-21) - (-2)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - 3*i - 1. Let q(p) = 15*p**2 + 2. Let y be q(-2). Let v be y\/8 + (-2)\/(-8). Suppose -h = 4*l - v, 17 = 4*h - l + 2. What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25536 divided by -1?\nAnswer: -25536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, -1196, -3235, -6120, -9869, -14500?\n\"Answer: -3*b**3 - 396*b**2 - 2*b + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -73, -109, -165, -247, -361, -513, -709?\n\"Answer: -d**3 - d**2 - 12*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*p**2 + p**2 + 1)*(-4*p + 2*p + 3*p) to the form u + g*p**2 + l*p + k*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*l + 3*r = -129*l - 0*r + 26, -8 = 4*r for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 61. Let z be j(19). Solve -7*t = -z*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-35)\/3 + 2)*(1 + -13).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192*p**2 - 235*p**2 + 99*p**2 + (5*p**2 - 3*p**2 - 3*p**2)*(-2 + 2 + 1) - 2*p**2 + 4*p + 6*p**2 - 4*p + p**2 to v + u*p + r*p**2 and give r.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -14, -1\/522, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 84, 214, 426, 738?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.03 + -0.03. Which is the closest to g? (a) -1\/6 (b) 5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12052721\/123 + 97991. Let a = -30\/41 + h. Put -0.2, 2\/15, a in decreasing order.\nAnswer: a, 2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12351345 to the power of 1\/2, to the nearest integer?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 218 - 13 + 59 + 158.\nAnswer: -2*a**2 + 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -11, -58, -145, -284, -487?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186 - 65 - 2*n - 166 - 464 - 728.\nAnswer: -2*n - 2609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4196, 4086, 3986, 3902, 3840?\n\"Answer: r**3 - r**2 - 114*r + 4310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:05 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*u - 5 + 14, -5*u - 7 = 3*g. Suppose -k - 4*k = 90. Let o be 165\/(-30) - (-1)\/2. Sort u, k, o.\nAnswer: k, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559431434.\nAnswer: 2, 1123, 249079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 7. Let o be y(-12). Let m = o + 21. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -6*h**3 - h**2\/2 + 4*h + 3. Let r be x(-4). Find the common denominator of 24\/84 + (-942)\/r and -91\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 7. Let z = b - 1. Let v(h) = -h - 1. Let p be v(-4). Solve 3*o + 2 + 10 = -z*j, p = -2*o + 3*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -800, -3546, -8196, -14750, -23208, -33570, -45836?\n\"Answer: -952*a**2 + 110*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 12*l + 9. Let g be d(-13). Let y be 3\/g*(0 + (-2 - 2)). Suppose h + y*h = 16. Solve 8 = -3*z - h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(684) + sqrt(684) + (-2*sqrt(2299) - sqrt(2299)))*-4)**2 + (0 + sqrt(76) + -3 - (sqrt(76) + 1*sqrt(76))*-1).\nAnswer: 1350*sqrt(19) + 134125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 153?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114574 is divided by 836.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from mppuemmumeumpmm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 4 - (-11 + 5 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/3, -43.\nAnswer: -43, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5742?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.95 + -12.55. Let v = 6.96 + 0.04. Let q = -10 + v. Which is the fourth biggest value? (a) o (b) 3 (c) -5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33592 and 8216?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Let n = 8.9 + -9. What is the biggest value in 7\/5, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*r**(1\/29) assuming r is positive.\nAnswer: r**(-115\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 - 1 - (-1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 124\/7 - (-2)\/7. Suppose -3*x - 5*j = -0*x - 10, 0 = 3*x - 3*j - n. Solve -5*f + 20 = x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563942.\nAnswer: 2, 3, 277, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 352.2140411 to two decimal places.\nAnswer: 352.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 17*a + 3. Let d be f(-17). Suppose 1431 = d*t - 1230. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255 + 643. Suppose -675*h = 217*h - 34788. Calculate the remainder when a is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 842 = 94. Is c greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**3 + 6*t**2 - 10*t. Let v(w) = 100*w**2 + 3*w - 102*w**2 + 25*w**3 - 30*w**3. What is -3*p(k) - 10*v(k)?\nAnswer: 2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 53*d + 2*d**3 + 0*d**3 - 7*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9*n - 16. Suppose -4*p + 5*p + n*y - 70 = 0, -5*y = -p + 61. Suppose 3*x - p = -a - 2*a, 4*x - 48 = -2*a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (3 + (-22 - -19))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z. Suppose z = -3*j + 21 + 159. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -40*f**3 + f**2 - 1. Let j be c(-1). Does 14 divide 2\/3 - j\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 + 4*h - 1. Let x be k(-5). Suppose -22 = x*t - 2*t. Let o be 3 + 31*(t - 2). Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157482.\nAnswer: 2, 578741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v - 184. Let f(a) = -23*a - 183. Determine -5*f(b) + 6*j(b).\nAnswer: -11*b - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 161*c + 0 - 163*c + c**3 + c**2 + 2*c**3 to the form r*c**2 + h + u*c + p*c**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 579, 1156, 1731, 2304, 2875?\n\"Answer: -z**2 + 580*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))\/u*u*u**(-7\/3))**(-47) assuming u is positive.\nAnswer: u**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 515 - 21122\/41. Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2 - 10077888*j = 0.\nAnswer: -2519472, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*i*j**2*n**3 + i*j**2*n - 189*i*j - 102*i*n**3 + 12*j**2*n**2 + 3*n**3 - 9*n**2 wrt n.\nAnswer: -396*i*j**2 - 612*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 9*g**2 + 5*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 1 - t + 3*t + (-3*t + 2 - 2)*(-3 - 3 + 4) + 0*t + 2*t - 4*t.\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 199642 divided by -2?\nAnswer: -99821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -6491795.\nAnswer: -6491795.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.96 + -2.96. What is the closest to 1\/2 in 0.1, r, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1012)\/207)\/(-11)*3\/1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 31 - 6 = 0. Suppose -2*r - j*s + 174 = 0, -3*s + 91 + 152 = 3*r. Let h = 148 - r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75455, 301851, 679185, 1207457, 1886667, 2716815, 3697901?\nAnswer: 4829925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218154912 divided by -6.\nAnswer: -36359152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11615\/(-909) - (-13)\/1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17.18. Let o = 0.02 + q. What is the closest to -2 in o, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000450452 (base 6) in base 11?\nAnswer: -578998a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.048 and 2.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:50 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.06 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + 12. Let y(l) = 7*l**2 - 2*l + 5. Let k(r) = -4*r**2 - r - 3 + 2*r + 0*r. Calculate w*y(g) - 5*k(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let o be g(-2). Let t be -4 - -6 - o*1. Suppose c + 4*u = 17, -t*c = -6*c + 4*u - 2. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*a + 0*a + 2*a)*(-2*a - 2*a**3 + 2*a) - 5*a**4 - 40*a**4 + 5*a**4.\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 64. Let n be (-78)\/4*6\/9. What is the remainder when t(n) is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n - 25 = -4*z, -4 = -z. Let l(a) = a**2 + 9*a + 9. Determine l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/7902 and 131\/72.\nAnswer: 31608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0)**2 + -2)*-2 + 0.\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/16 and 137\/10443120.\nAnswer: 10443120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/15021 and 26\/5007.\nAnswer: 15021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1239 + -482. Let n = q - 484. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.79 - 0.21. Let s = 41 + -121\/3. Let m = 0.1 - 0.1. What is the nearest to m in s, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4. Let z be 12\/(-9)*63\/(-14). Is q\/z + 2562\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.62 - -9. Let f = 0.82 + x. Suppose -3*d - 4*m + 1 = 7, -d - 2 = m. What is the second biggest value in f, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)*(k*k**(-16))\/k assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 839642.8 minutes in microseconds?\nAnswer: 50378568000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**6\/450 + 2*s**5\/5 + 30*s**4 + 2*s**3\/3 + 17*s**2\/2 - 96. Let r(o) be the third derivative of n(o). Factor r(w).\nAnswer: 4*(w + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*w = -858*w - 827*w + 537*w - 14278 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 + 975664*o + 118990030112 = 0 for o.\nAnswer: -243916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -361d (base 15) to base 6.\nAnswer: -125131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*o**3 + 3*i**3*o**2*x**2 - 4*i**3*o*x - 64095*i**2*o**3*x**2 + 4*i**2*o**2*x + i*o**3 + 4*i*x + o**3*x wrt x?\nAnswer: 6*i**3*o**2 - 128190*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2 + 86*d + 63. Let n be h(-7). What is the third biggest value in -0.13, -29, 2\/7, n?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11868 and 14808.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 396*t - 56. Is 13 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:00 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 h when three letters picked without replacement from htvtlvtbltvvlt?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/60 + m**2. Suppose -t = -2*a + 7, -4*a + a + 3*t + 15 = 0. Let x(c) = -c + a*c - 2*c. Give x(n(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35827 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 482 + -489. Let q be 1*3 - u*(-13)\/91. Solve q*x - 2*g + 6 = -2*x, -x - 4*g = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841 - 2407 = 232*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, 8, -3, 4 in increasing order.\nAnswer: -3, 2, 4, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-9)\/(-12) - 2). Let s be (0 - 1)*38\/(-4). Let h = -10 + s. Which is the third biggest value? (a) -1\/5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7553 - -23165. Suppose -7*l - 20 = -3*l, -t = -4*h + 4*l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-98*h + 192*h - 116*h)*(-3*h - h + 2 + 0*h)*(-2*h + 2*h - h) to u*h + w + z*h**3 + k*h**2 and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1215 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 - 158*p**2\/3 + 3008*p\/3 - 1800 = 0.\nAnswer: 2, 27, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159 - -140) + (7 - 1) - 19?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115460011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:20 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -4 - -1151)*10\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**3 - 3*a**2 + 2. Let m(i) = 27*i**3 + 16*i**2 - 11. Let x(y) = -11*b(y) - 2*m(y). Let o(g) = 6*g**3 + 5*g**2. Determine -3*o(f) + 15*x(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1091 - 439. Does 72 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 556 (base 7) to base 8\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/13568698 and 109\/206910.\nAnswer: 610591410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 715449419 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g**3 - 4*g**2 + 3*g + 4. Let o(p) = -5*p**2 + 5 - 7449*p + 0*p**2 - 17*p**3 + 7453*p. Calculate -4*o(s) + 5*x(s).\nAnswer: -12*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -17.\nAnswer: -17, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -21*y**2. Let f(m) = -6*m**2 + 13 - 13 + 32*m - 32*m. Determine u(f(n)).\nAnswer: -756*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -140.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 763162007 a multiple of 1000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 23*h - 9. What is the remainder when g(4) is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*v = -2582, -2*i + 712 = -2*v - 324. What are the prime factors of i?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 941*q**6\/120 + 47*q**5\/30 - 1565*q**2. Find the third derivative of s(f) wrt f.\nAnswer: 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -42) + (-7645 - -7559)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 68801.44 micrometers?\nAnswer: 68801440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10\/43, 0.29, -0.06, 5, -28.\nAnswer: -28, -10\/43, -0.06, 0.29, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*d = 6, d + 0 + 2 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i - 5*g - 45, -4*i - 5*g = 39. Let l(f) = 2*f**2 + 13*f + 10. Let p be l(i). Solve 4*j + p = -16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:41 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxpxxxpppxxppx. Give prob of picking 2 x and 2 p.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15447 + 46016. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 35*l + 7. Let r(b) = 34*b + 8. Let c(s) = -3*k(s) + 2*r(s). Differentiate c(n) wrt n.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7588 - -7767. Is 6 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-9)\/(18\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/((-6)\/(2 - -136)) is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 - 395*(-4)\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000897 rounded to seven dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672857881 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 4, a: 1, q: 3, r: 2, p: 2}. What is prob of picking 1 h and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f + 8. Let a(y) = 8*y - 9. What is 6*a(g) + 7*d(g)?\nAnswer: -15*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17928 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*y - 6330 + 6055 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4401, -3, 0.1, -4 in increasing order.\nAnswer: -4401, -5, -4, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**3 - 6*y**2 - 3*y. Let f(k) = 21*k**3 - 13*k**2 - 7*k. What is 3*f(p) - 7*t(p)?\nAnswer: -7*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2\/4 + 14415*c\/2 - 28825\/4 = 0 for c.\nAnswer: 1, 5765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.6 + 122. Let x = -32.8 + a. Round x to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137 and 20.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 78. Suppose -19*v = -10*v + w. Let u(b) = 2*b + 2 + b**3 + 2*b + 2. Let i(l) = -3*l - 3. What is v*i(z) - 3*u(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 7) to base 10.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -3.3. Sort 0.2, n, -0.2 in descending order.\nAnswer: n, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11080019 and -1?\nAnswer: -11080019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s = 2*v + 104, -14 = -0*v - 7*v - 4*s - 8 + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3 - 6) + 9 + -7. Let i = 1256 - 1255.91. Which is the fourth biggest value? (a) 4 (b) 0 (c) k (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45947192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 3 (b) -0.1 (c) 108364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*z = -271*z + 72*z + 1526 - 416 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 + (-2 - -2) - (12 - -34))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 - 1033*d**2 - 16801*d + 17833 = 0.\nAnswer: -17, 1, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597702 not equal to 5597701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b + -3b?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/1995 + n**5\/190 + n**4\/114 + 27*n**2\/2 + 9*n. Let l(z) be the first derivative of a(z). Factor l(f).\nAnswer: -2*f*(f - 2)*(f + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*y**2 - 112*y**2 + 49*y**2 to x + c*y**2 + g*y and give c.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -16. Suppose 0*l + 4*l - 86 = -2*w, 3*l - 117 = -3*w. What is the lowest common multiple of w and r?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 94*u + 612. What is j(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254*-0.2.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 + 180.26. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysss when four letters picked without replacement from {y: 1, z: 2, d: 6, s: 3, g: 2}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4*o**3\/3 - 75. Let h(c) = -2*c**2. Give -b(f) + 4*h(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-12))\/(32*1220\/(-3185664))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(78)*3)\/(2*sqrt(54)))**2*-6.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/252 and -19\/23817.\nAnswer: 2000628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/23729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-294))\/((-4)\/98)*(264\/448)\/(-11).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 100*c + 488. What is o(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20878347*w**3 + 2*w**2 + 26315029*w.\nAnswer: -125270082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**2 + 144324*i - 1735784748 = 0.\nAnswer: 24054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121200 (base 3) to base 4.\nAnswer: -102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 2*m**3 + m**3 - 2 + 2*m**3 + 2 + 3*m - 3*m + 2*m**3 + (3*m + m**2 - 3*m)*(2*m + 1 - 1).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/787, 2\/13, 2\/5, 4, 10552 in decreasing order.\nAnswer: 10552, 4, 2\/5, 2\/13, 2\/787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 - -118?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021110 (base 3) in base 16?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (1*sqrt(38)\/sqrt(2) - sqrt(19)) - 1*-5*sqrt(304)).\nAnswer: -60*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/3 + 53915*u**2\/3 - 26954*u\/3 - 26957 = 0. What is u?\nAnswer: -1, 3\/2, 26957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f**3 - 74*f**4 + 72*f + 72*f**4 + 2*f**2 - 57*f**2 - 29*f**2 + 432 = 0. Calculate f.\nAnswer: -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 31*z - 391 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -42535 (base 7) to base 9\nAnswer: -15434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -51) + (-26 - (30 - -13)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 11*d**2 - 1325*d - 17578. Calculate w(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1080\/560*(-28)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 688400 to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88747\/784 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4084 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1409\nAnswer: -281.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 6*z**2 - 3*z + 5. Suppose -10 = -3*k + 5. Let v be m(k). Solve -3*l = 2*l - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -0.1 (c) -0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let x(t) = 3*t - 2. Let o = -8 - -11. Suppose -o*r = -s - 4*r + 3, -6 = -3*r. Let c = 6 - s. What is c*q(a) - x(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {c: 3, q: 1, y: 3, r: 1, t: 3, k: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23363360 - -5.\nAnswer: -23363355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7074, 28274, 63582, 113004, 176546?\n\"Answer: j**3 + 7048*j**2 + 49*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-89)\/(-1))\/(-1)*(-65 + 64). Let a = -43 + d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1584665 + 0?\nAnswer: -1584665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/(-606)). Let u = i - -358. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30*4*2\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 2. Let j be i(-2). Suppose 4*h + 2 + 14 = 0, -4*z - 4*h - 4 = 0. Suppose -69 = -z*l + 4*x, 2*x - 63 = -3*l + j*x. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*c - 25. Let k = c - 10. Suppose -3*b + k = -0*b. Solve b = 2*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75371781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c**3 - 5 + 5 + 21*c**3 + 21*c**3.\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q - 318. Let j be f(32). Solve -5*g - 21*o + 45 = -16*o, 4*o - 12 = j*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 + 14*s**2 - 25*s**2 + 13*s**2 + 2*s - 48 to the form b + x*s**2 + y*s and give b.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*t + 621*t**3 - 348*t**3 + 635*t - 277*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b + 10424 - 1496 = 333*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -2*m**7\/105 + m**6\/2 - 58*m**5\/15 + 14*m**4 - 80*m**3\/3 + 21*m**2 + 8*m - 3. Solve c(y) = 0 for y.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n - 1. Let r(w) = 3*w + 1. Let m(j) = -3*k(j) + 6*r(j). Determine m(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1884 - 143*h**2 - 542*h**2 + 70*h**2 - 684*h**2 - 3051 wrt h?\nAnswer: -2598*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/14 + 6)\/(3 + (-30)\/9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9681832201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 12, g + 4*g + 50*q = 51*q - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/((-429)\/6) + 108\/(-195). Let y be (-8)\/(-28) - 24\/(-14). What is the nearest to y in -5\/4, n, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (-1 + -1 + sqrt(275)))**2 - sqrt(275)) + 3 + sqrt(275) + 2*sqrt(275).\nAnswer: 7 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -4*s**2 - 4\/3*s**3 + 2 - 4*s. Solve y(t) = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:32 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2*x*x*x\/(x**(2\/3)*x*x))\/(x**(-2\/3)\/x*x)**(-30))\/(((x\/(x*x**(-5)))\/x*x)\/(x*x\/x**(1\/9)))**(3\/35) assuming x is positive.\nAnswer: x**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 350.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4 - 1\/4*s**2 - 1\/2*s.\nAnswer: -(s - 3)*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v - 3. Let c be p(5). Let y(t) = t**2. Let w be y(2). Suppose 18 + 126 = w*g. What is the highest common factor of g and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 + 12*s**2 - 212 - 78.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 58, -89, -7.\nAnswer: -89, -7, -5, 9, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 125 - v**4 - 85 + 6*v**3 - 40*v + 4*v**3 - 88 - v**4 + 20*v**2 = 0.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m + 106. Let r be t(14). Suppose 0*q - 5*q = -20. Put q, -4, r in increasing order.\nAnswer: r, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -118277 (c) -5 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 747 - -4?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 457400633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -50, -15, 36?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486713.\nAnswer: 486713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 654907787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5821834 (base 9) to base 2\nAnswer: 1011111111100110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11024.94819 - 11025. Let q = r + 0.0471. Round q to 4 decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1303 - 3?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -5*v. Suppose 4*a = 3*m - 29, 0*m = -v*m - 5*a - 13. Solve -5*n + m*n = 4*c + 24, 3*c = -n - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/10 + (-6)\/(-15). Let a(w) = w**2 - 4*w - 7. Calculate a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499359688 to the power of 1\/2, to the nearest integer?\nAnswer: 22346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddr when three letters picked without replacement from rrdrdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 298 + -180. Calculate the remainder when m is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, c: 1, l: 1, j: 1}. Give prob of sequence llk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*r**3 + 127*r**3 - 3 + 6 - 3 + (-3*r**2 - 8*r**2 + 2*r**2)*(-2*r + 3*r + r).\nAnswer: 163*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32735.5mm to kilometers.\nAnswer: 0.0327355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*i + 200*i + 452*i + 159*i.\nAnswer: 577*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2420)\/(-605))\/((-3)\/(-24)))\/((-3)\/1)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.2 and -17520?\nAnswer: -108624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 392134.\nAnswer: 23528.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000216 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -212, -330, -448, -566?\n\"Answer: -118*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*i - 3 - 3, 4*i = 5*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.41 (b) 0 (c) -7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.4 - 51. Let v = t + -4. Let n = -0.12 + v. Round n to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 4055001?\nAnswer: 68935017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/27449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27, 51, 0, 1, -55 in descending order.\nAnswer: 51, 27, 1, 0, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060 is divided by 844?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 1070*z**2 + 651*z**2 + 0*z + 459*z**2.\nAnswer: 40*z**2 + 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7117162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-39)\/(-21) - (-6)\/(-21). Solve u*k = 15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*p + 5*d + 6547, 0 = 3*p - 3*d - 4866. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7*s = -12*s - 24, 2*r - s - 8 = 0. Solve -w - 1 = r*l, -2*w + 5*l - 4 - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.63859 meters to centimeters.\nAnswer: 8763.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 30 = 2*q. Let a(m) = -m**3 + 9*m**2 + 11*m - 9. Let x be a(q). What is the units digit of (6\/(-1))\/(0 - x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 14*h - 7. Let g be m(8). Let n = g - 20. Suppose 0 = -2*q + u + 164, -4*q + 4*u = -q - 246. What is the remainder when q is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*g + 488, 1877 = 2*c - 6*c + g. What is the units digit of c\/(-28) + (-4)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017119117 to six dps.\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yinttywiitiiwit. What is prob of sequence ty?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = 4*t, 250*t - 18 = 4*k + 249*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*u**2 + 2100*u + 884010.\nAnswer: 282*u + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = -4. Suppose 2 = 4*q - 2. Put q, u, -1 in descending order.\nAnswer: q, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4\/(-10) + (-5)\/(75\/(-681))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d + 5. Let o(p) be the second derivative of -17*p**3\/6 - 4*p**2 - 8*p. What is 5*o(s) + 8*w(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08855 - 79.58855. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmj when three letters picked without replacement from nrrnnjnmnmqrxrrxnnnr?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d + 460 = 122*d - 56*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1398\/(-54) + ((-132)\/(-27) - 6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -668184910?\nAnswer: -668184910.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*f**2*w**3 - 2*f**2*w + 13*f*w**5 - 16116*w**2 wrt w?\nAnswer: 1608*f**2 + 780*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 230960041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, -58, -178, -354, -592, -898, -1278?\n\"Answer: -i**3 - 19*i**2 - 6*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.934 + 3.134. Which is the smallest value? (a) -0.3 (b) 1 (c) -1529 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -2803251.\nAnswer: -58\/2803251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -127. Suppose -10090 = 5*m - u*p, 5020 = -4*m - 3*p - 3052. Find the common denominator of -17\/20 and 3 - (m\/(-308) - 10\/70).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.783484763 rounded to three dps?\nAnswer: -2.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 + 16 = 0. Suppose -a + w - 2 = 0, a + w + z = 5*w. Calculate the remainder when 54 is divided by 14 - (-2 + 1 + a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/11 + 1290*f**3\/11 - 86604*f**2\/11 + 631424*f\/11 - 1222080\/11 = 0?\nAnswer: 4, 67, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880513284 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 3, f: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 70 = 21*c + 26*c - 11*q, -4*c + 5*q = -74 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) -3 (c) 1\/3 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -47. Sort 1\/9, -5, i, 8 in ascending order.\nAnswer: -5, i, 1\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7885, 7934, 7987, 8044?\n\"Answer: 2*h**2 + 43*h + 7840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = 2. Suppose 3*k - 23 = -y. Solve 5*v + 6*m - m + k = 0, 0 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a + 3*a + (1 - 1 + 2*a)*(13 - 31 + 11) to z*a + m and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from ntm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -1 - (52 + -11 - 47).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -19\/5, 0.2 in decreasing order.\nAnswer: 5, 0.2, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(21)\/sqrt(3) + sqrt(112)*-2 + (1 + sqrt(112))*2 + -3)**2.\nAnswer: -8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 117?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, -2459 in descending order.\nAnswer: -4, -14, -2459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2 + 14*q - 14. Let r be y(1). Let s(w) be the second derivative of -w**5\/20 - w**4\/4 + 2*w**3\/3 + 3*w**2 + 8*w. Determine s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-4) - (-662 + 2\/(-1)). Let v be (-2)\/5 + y\/90. Suppose 2 = 3*j - v. Solve g - 6 = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2396481, -2396494, -2396525, -2396580, -2396665?\nAnswer: -2396786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 2*l**3 + 4*l + 3*l**2 - 4*l to s*l + b + k*l**2 + a*l**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 401 and 105463.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3057.5764+-548065\nAnswer: -545007.4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from kbblbrz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.5 - 2.5. Let m = 9.855 - -0.245. Let n = h + m. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*x = -11, -5*x - 21 = -4*k - 10*x. Let d be 4 - (3 + k - 3). Suppose 5 = -d*n - 0, -143 = -4*z + 3*n. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.3 + -62.22. Let h = -10 - z. Let q = h - 0.22. Which is the nearest to q? (a) 2\/7 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/7 - 18*o**3\/7 + 319*o**2\/7 + 156*o = 0.\nAnswer: -28, -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2490*n**3 + 951*n**3 + 744*n**3 + (-2 + 2 + n)*(n**2 - n + n) + 0*n + 2*n**3 + 0*n.\nAnswer: -792*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*v - 46, -3*p = 4*v + v - 138. Let z = 7 + -4. Let g be z\/1*p\/3. Solve -3*q - 19 = 3*w - g, -2*q - 2 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 458683 - 458684. Let s = 150 - 147.98. Let w = s + -0.02. Put l, w, -3\/4, -4 in descending order.\nAnswer: w, -3\/4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 - 1. Let f be a(1). Suppose -3*t = -2*b + 12, 0 = 6*b - 9*b + 9. Sort 1, t, f, -5.\nAnswer: f, -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 265? (a) 2 (b) -129.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 + 17*i**2 - 14*i**2 + 12*i**2.\nAnswer: 37*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 24 = 4. What is the tens digit of (-687)\/(-2)*7\/21*j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:09 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-5 - -10 - 1) + 2*582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-43.82\nAnswer: 701.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 719533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -687, -1893, -3099?\n\"Answer: -1206*w + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -80.472 times 297\nAnswer: -23900.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/(250\/(-19000)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, q: 1, u: 2}. Give prob of sequence qu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z**5 + 4*z**4 - 706*z**3 + 2300*z**2 - 2328*z + 720 = 0 for z.\nAnswer: -10, 3\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3 - -290b?\nAnswer: 2b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 + 27679*g - 27679*g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 125 = -2*r. Let o(g) = 3*g + 2. Let z(t) = 10*t + 6. Calculate r*o(h) + 6*z(h).\nAnswer: 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 2*l. Let m = 138 - 131. Let a be 56\/(-147)*9\/12*m. Give q(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-7) - (456\/28 + 6\/(-21)). Let o(r) = -18*r - 215. Determine o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/(-54) - 2\/(-6). Solve 3*o - m - 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -58*q - 52 - 25\/2*q**2. What is the derivative of g(c) wrt c?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -762 (base 14) to base 8.\nAnswer: -2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 31. Suppose -3*p + 2*s - 18 = -7*p, z = -4*p - s + 15. Solve 4*h - p = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69132148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75404874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13504 is divided by 6745.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.5 (b) -1\/3 (c) -0.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 185 = 16*l - 12*l, 2*l + 2*v - 92 = 0. What is the highest common divisor of 1665 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -437\/9, 0.3, -2.\nAnswer: -437\/9, -3, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r, -4*x = -7*x + r + 6. Let s(m) be the second derivative of 0*m**x - 7\/48*m**4 + 0 + 8*m + 1\/12*m**3. Factor s(n).\nAnswer: -n*(7*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132975*d**3*x**2 - 562*d**2*x + 6*d*x**2 - 133*d*x + 2834 wrt d?\nAnswer: 797850*d*x**2 - 1124*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.2263 + -14.87. Let j = m + 12.0267. Let h = j + -11.7. What is h rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -747190*a + 747157. What is h(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {r: 2, y: 3, i: 10}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 5*b**2 + 9*b - 32. Calculate l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 584 - 522. Suppose q + 33 = 5*n. Solve -n = t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 155 = -2*b. Let y(v) = 31 - b + 2*v. Let h(p) = 2 + 1 + 3*p - 3. What is y(h(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*x - 12. Let l = -3 - x. Let r = 1 - l. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, 1, -2, -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 78*u + 83 + 93.\nAnswer: -78*u + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 439?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 41061690*q\/7.\nAnswer: -2*q*(q - 20530845)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -a. Let o(d) = -2*d + 15. Let r be o(10). Let n be (r - -2) + 7 - 3. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) + 20\/33. Let g = -0.53 - 1.47. Is g less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46480909 to the nearest integer?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122530829*i**3 + 6255434*i**2 + 2*i - 3?\nAnswer: 735184974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 6*g - 2. Let q be j(-7). Let a(z) = -z**3 + 4*z**2 + 8*z - 11. Let x = -42 - -47. Let l be a(x). Are q and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -48. Let p = m + 72\/5. Sort 0, 7, p, -0.3 in descending order.\nAnswer: 7, 0, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1744 = -5*p - 1824 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1549, 1\/13, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -346, -949, -2070, -3883, -6562, -10281?\n\"Answer: -29*o**3 + 2*o**2 - 62*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:52 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**2 - f + 3. Let k(w) = -6*w + 4 + 3*w + 14*w**2 + w. Let b(g) = 3*j(g) - 2*k(g). Determine b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*f = 4*s + 27, 0 = -3*s - 2*f - 1. Suppose s*w = -y + 37, 0*w - 4*w - 16 = 0. What is the remainder when 62 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107881879439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -184, -1062, -3030, -6502, -11892, -19614?\n\"Answer: -69*h**3 - 131*h**2 - 2*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*(-5)\/(-270))\/((-10)\/90). Which is bigger: -5\/427 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 292 (b) 23 (c) 2\/3 (d) -18 (e) -4\/7 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9175, -36661, -82461, -146575, -229003, -329745?\n\"Answer: -9157*i**2 - 15*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -8, 2, 12, -4, 0 in decreasing order.\nAnswer: 12, 2, 0, -4, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 90543*v - 2442474.\nAnswer: -3*(v - 30154)*(v - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*c = -218, 4*c + 300 = 5*l - l. Let r = 126 - l. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138337 or -138338?\nAnswer: -138337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t + 411 = -4*t, 5*c + 405 = -5*t. Let y = c + 285. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 91.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325150264 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -733 + 49*l + 2945 - 660 - 739 - 719 to the form m + i*l and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2*g**3\/3 + g**2\/2 + 1. Let v = -6 + 7. Let r be b(v). Solve -r*w - 2*u + 2 = 0, 3*w + 2*u = -u + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 1\/7 (b) 1 (c) -6 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2))**(-30)*(k**2*k)**(1\/2))\/((k*k**5*k)\/k*k**(2\/13)*k)**27 assuming k is positive.\nAnswer: k**(-7323\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -25. Let w = 75 + -70. Suppose w*p = 2*z + 149, -5*z + 25 + 23 = l*p. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252715 times -0.5?\nAnswer: -2126357.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 7*v**2 + 5*v + 6. Let k be z(-6). Let t be (1 + -3)\/(k\/9 + -2). Solve 0 = t*y - 5*h + 24, 5*h = 4*y - 0*y + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let x(b) = b**3 - 34*b**2 + 221*b + 578. Let r(q) = -2*w(q) + x(q). Factor r(l).\nAnswer: (l - 17)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 9057709?\nAnswer: 27173127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + -12842?\nAnswer: -12782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4*k - 3*k - 13)*((-3 + 3 + 2*k)*(-2*k - 2*k + 6*k) + 4*k**2 - 6*k**2 + 4*k**2).\nAnswer: 6*k**3 - 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 2*l - 5. Calculate y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -151*j - 39. Let t(q) = 29*q + 8. Let m(h) = -2*i(h) - 11*t(h). Let g(v) = -2*v**2. Give g(m(c)).\nAnswer: -578*c**2 - 680*c - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmgmggmdmdmggdmmm. What is prob of picking 3 m?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 8 = 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.1 + 3.1. Let h = p + 15. Let c = 1.5 + -6.5. What is the biggest value in h, c, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 902349012 to the nearest integer?\nAnswer: 30039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136, 178, 298, 532, 916, 1486?\n\"Answer: 6*s**3 + 3*s**2 - 9*s + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 9. Suppose 6*w = 2*w - 8. Calculate the remainder when (-15)\/x + (38 - w) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 15. Let a be b(10). Suppose -158 + 34 = 4*x - 4*h, -159 = a*x - 4*h. Let o be 41502\/5 - (-14)\/x. What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278221369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 28 = 24*h. Let l be (-2 - (-115)\/39) + -1. Let z = 34.4 + -34.8. What is the smallest value in -4, l, h, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 6 = -22*y. Solve -36*p**2 - p**2 - p**y - 2*p**3 + 2*p**4 + 20*p**2 + 18*p = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4*t**3 - 7495*n**3 + 56*n**2*t**3 - n*t**3 - n + 7*t**3 wrt n?\nAnswer: -24*n*t**3 - 44970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s - 16*s + s**2 + 4 + 27*s. Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2. Let h(g) = 24*g. Let y(q) = q. Let w(z) = z + 10. Suppose 6*c + 24 = 3*c. Let n be w(c). Let x(t) = n*h(t) - 44*y(t). Determine d(x(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/23)*u)\/(u*u\/(u*u\/u**(-26)*u*u)) assuming u is positive.\nAnswer: u**(669\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 351 (b) 1 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 7*o - 6*o + 0*o. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25620703 (base 9) in base 7?\nAnswer: -212010555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 194*r - 2846. Give g(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*s + 11 + 3 = 0, 0 = 5*h + 2*s - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 849, 1276?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 + 151118*g + 302244 = 0. What is g?\nAnswer: -2, 75561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 49.7, -2.238, -3\/5?\nAnswer: -2.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3\/8, -2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5783\/3580 - 727\/716. Let -18\/5 - 33\/5*d - f*d**3 - 18\/5*d**2 = 0. Calculate d.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*t + 2 = 0, 4*f + 229 = -t + 208 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 362.1744 litres?\nAnswer: 362174.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*x**4)*(-1 + 0 + 2) - 2*x**4 + 3*x**4 + 0*x**4 - 9*x**3 + 0*x**3 + 2 + 7*x**3 + 5*x**4.\nAnswer: 4*x**4 - 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h + 1\/21*h**7 + 0*h**3 - 1\/6*h**5 + 4 + 1\/30*h**6 - 1\/6*h**4 + 8*h**2. Factor i(r).\nAnswer: 2*r*(r - 1)*(r + 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 42122 - 42179 = 2*q, 4*k + q + 24 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 6:29 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1390 + 2048. Is 655 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1887481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + j**2 - j. Let c be y(1). Let x(n) = -10*n + 14. Let k be x(3). Let q = c - k. Calculate the greatest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 24.906. Round l to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 29. Solve -r = -2*u + 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.266505543 rounded to three dps?\nAnswer: -3.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 72*o**3 - 65*o**3 + o**4 + 0*o + 134*o**3 to g + s*o + a*o**2 + x*o**4 + m*o**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(931) - (3 + sqrt(931) - sqrt(931)))**2 + ((sqrt(76) + 0 + sqrt(76) - sqrt(76))**2 + sqrt(76))*-5)*-1.\nAnswer: -104*sqrt(19) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/((u**7\/u)\/u*u))*u)\/(u\/(u*u*(u**(-1\/14)\/u)\/u)))\/(u*(u\/(u*u\/u**9*u*u)*u*u)\/u*u*u*u**(-1\/8)\/u*u))**(5\/8) assuming u is positive.\nAnswer: u**(-825\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 159, -47 in descending order.\nAnswer: 159, 4, 0, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110 + 1111101111010101000?\nAnswer: 1111101110100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62922573487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -971703.43 + 977147. Let l = -5443.90000064 + g. Let c = l - -0.33. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126453 + 9974. Let w = -54179 - v. What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29980, 59961, 89942, 119923, 149904?\n\"Answer: 29981*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 3*j**2 + 14*j**2 - 2*j**2 to the form v*j**2 + b + r*j and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2 - 0. Let g = 6 - 2. Which is the second biggest value? (a) g (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4 - r + 1 - 1. Let n be t(-5). Solve 0 = 3*s + n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3453 - -3453.1. What is the closest to 8 in 2\/5, c, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 26. Calculate the smallest common multiple of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -1\/3, 6.59, -7\/2 in descending order.\nAnswer: 289, 6.59, -1\/3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let s(f) = -f - 2. Suppose 2*q = -4*z + 16, 0 = -2*z + 5*q - 7*q + 12. Suppose -z*a - 15 = -21. What is a*u(t) - s(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655490 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5185 = f, 2*f + 5*v - 10335 = 10*v. Is f a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602 divided by -301\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -10 (c) 0 (d) 1\/4 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121647640 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 100.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**5 + 2*f**3 + 5568*f**2 + 6113420*f wrt f.\nAnswer: -120*f**3 + 12*f + 11136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 6*u**2 - 3*u - 3. Suppose 0*s - 41 = -4*s - 3*x, 3*s - 15 = 3*x. What is the remainder when t(s) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 12*v**2 + 11*v - 7. Is f(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -133, -2, -3\/2, -254?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87010860, 174021720, 261032580, 348043440, 435054300, 522065160?\nAnswer: 609076020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/14 and (-5 + 184\/10)\/(10\/25).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r**2 + 8*r**3 - 2592*r - 60*r**2 - 3315*r.\nAnswer: 8*r**3 - 5907*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4288300 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, 5, 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398711 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 1055. Suppose 0 = -m - 4*o + w, 0 = m + 4*o + o - 215. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23686098061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 times 138?\nAnswer: -538.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-51)*12\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/5, 2, -0.15, -3, -2\/5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 9*k**2 - 29*k - 62. Let n(c) = 1838*c - 6. Let z be n(0). Calculate a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = 5*f + 4*x, 2*f + 4 = -2*x. What is the common denominator of f\/12*72\/7 and (26\/(-16) + 2)\/((-48)\/400)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12*(-12)\/(-2). Let x = 3 - 1. Factor -4*z**x + 9 + 3*z**2 + 12*z + 4*z**j.\nAnswer: 3*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*j - 40, 0 = 4*b - 2*j - 3*j - 49. Suppose 11 - b = h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1210*r + 9704. Give b(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*1*-3*-6)\/(6*-2*sqrt(400)*-6).\nAnswer: 9*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59250850?\nAnswer: 2, 5, 1185017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/3730 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and -216398?\nAnswer: 216397.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 810*k + 22. Give p(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2698 + -8177\/3. Let l = -28 - z. Let j = 11\/6 + -5\/2. What is the closest to j in 0.5, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6 + 1.4. Let k = 13 - d. Let x = k + -6.00006. Round x to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17888, 35774, 53646, 71498, 89324, 107118, 124874?\n\"Answer: -x**3 - x**2 + 17896*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16397375 * -1.7\nAnswer: -27875537.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -2229052.\nAnswer: -9\/557263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*s**2 - 4*s**4 + 27*s**3 - 22*s**2 - 25*s**2 + s - 4 + 0*s - 20*s**2 to the form i + m*s**2 + c*s**3 + v*s**4 + d*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17110 - 17110. Put -47, 4, -5, a in increasing order.\nAnswer: -47, -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73560 is divided by 8173.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**3 - p**2 + 1. Let v(i) = i**3 - 2*i**2 - 3*i + 5. Let l be v(2). Let j be g(l). Suppose j*q - 42 = 6*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1 + (-29)\/(-1). Suppose 0 = -21*h + 11*h - j. Let w(l) = -4*l**2 - 4*l - 3. Let v(m) = -7*m**2 - 7*m - 5. Determine h*v(g) + 5*w(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1152441.\nAnswer: -2304882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-5 - (0 - 0). Suppose -8*p = -6*p + 10408. Let f be 10\/(-25) + p\/d. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 126*q**2 - 3741*q + 154. Determine c(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)\/z)**(-19)*(z**4)**22 assuming z is positive.\nAnswer: z**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {i: 4, z: 5, v: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = -2*k - 26, 5*k + r + 62 = 0. Is (-215)\/(-15)*k\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29556977 plus -0.1?\nAnswer: 29556976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/152 and -25\/79344.\nAnswer: 79344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = -4*i, -p = -0*i + i - 3. Which is the nearest to 2? (a) -2 (b) 0.2 (c) i (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 16*m**2 + 16*m + 2. What is c(-15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 4*u + 26, 0 = -4*v + 4*u + 28. Let q be (v\/(-3))\/(16\/(-12)). Let f be (10\/8)\/(-5)*-3. What is the closest to q in f, -3\/4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 16) in base 11?\nAnswer: -6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -438, -439, -442, -447, -454, -463?\n\"Answer: -n**2 + 2*n - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 5886314504 - 5886314504.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -748204, -1495979, -2243754, -2991529, -3739304?\n\"Answer: -747775*y - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -4 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170.3 + 181. Let t = p + -10.699939. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q = -2*d - 23*q + 45, 0 = -2*d - 27*q + 117 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505115 (base 6) to base 11.\nAnswer: 28070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15111 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586 divided by -2.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6059035 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12248, -12245, -12240, -12233, -12224?\n\"Answer: f**2 - 12249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:17 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149254, 298499, 447744, 596989, 746234?\nAnswer: 895479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3431, 3484, 3551, 3638, 3751, 3896, 4079, 4306?\n\"Answer: v**3 + v**2 + 43*v + 3386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -162027868 at least -162027867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*o - 2 = -13, 2*d - 1 = 3*o. Let i = 5 - 0. Which is the third smallest value? (a) d (b) -0.03 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19503 (b) -4 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 531373 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 y(v) = -11*v + 8. Let b(l) = 10*l - 7. Calculate 4*b(t) + 3*y(t).\nAnswer: 7*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/4))**(-3\/17))**(-2\/53))**(-1\/2) assuming a is positive.\nAnswer: a**(3\/3604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 0*j**4 - 1 - 7*j**4)*(-3 + 1 + 0).\nAnswer: 16*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + j + (2*j + 0 + 0)*(5 + 0 - 4) + 28 + 18 - 16*j - 30.\nAnswer: -13*j + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/15 - (-58)\/3. Let u = 5 + y. Suppose -5*w + 0*w = -3*p + u, -3 = 3*w + 2*p. Let h(r) = -r**3 - 3*r**2 + 4*r + 3. Calculate h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -300202?\nAnswer: -300202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53418*q + 53416*q = 33*x - 332, 0 = 3*q - 3 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5332 + -2a?\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0255441854 to 4 decimal places.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*m + 284*m - 556*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k + 35*k - 42. Solve -h + k*h = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2\/5))\/p*p)\/p)**8\/(p**(4\/7)*p\/(p*p\/(p\/p**15))))**(-49) assuming p is positive.\nAnswer: p**(-2751\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvpvvpppuvdvdvpudvd. What is prob of sequence vvdp?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrrrkkrz. What is prob of picking 2 k, 1 r, and 1 z?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-5))\/(1\/(-10)). Find the common denominator of 201\/20 - (-6)\/r and 51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 307 - 691 + 196 + 188 + 2*t**2. Let j(n) = -13080*n**2. Calculate g(j(y)).\nAnswer: 342172800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 62*y - 51. What is s(10)?\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + 3 + sqrt(448) + sqrt(448) + 1 + 5)*4)**2.\nAnswer: 2560*sqrt(7) + 29072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 272*u**2 + 32*u + 219. Is g(58) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -48. Which is smaller: -1\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, v: 2, n: 1, t: 2}. Give prob of sequence tvvt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 6*n**2 - 5*n - 4. Let s(v) be the second derivative of v**4\/12 + v**3\/6 - 1243*v. Give a(p) + 5*s(p).\nAnswer: 2*p**3 - p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/4 - 19195*k**3\/2 + 368294433*k**2\/4 + 737049610*k + 1474406404 = 0. Calculate k.\nAnswer: -4, 19199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2553 + 2535. What is the fourth biggest value in -3, 5, -1\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -24a86?\nAnswer: -24a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9353.51 + 10097.5951. Let w = j - 744. What is w rounded to 3 decimal places?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1654 - 5224 - 3151 + 746)*(-k - 4*k + 3*k) to the form v + z*k and give z.\nAnswer: 11950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 124*q - 7 + 17 + 147*q as b + m*q and give m.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3257208 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.3 (b) -8 (c) -3199 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476339 divided by -21?\nAnswer: -213159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 11*v + 6. Let m(z) = -3*z**2 - 22*z - 12. Let h(t) = -5*a(t) - 3*m(t). What is h(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:44 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqlyylflyylllll. What is prob of picking 1 f, 1 l, and 1 y?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.23 - 0.03. Let l = -4.2 + z. Put l, 0, 0.1 in descending order.\nAnswer: 0.1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 5*m - 57. Let v(p) = p. Calculate -6*v(a) - z(a).\nAnswer: 2*a**2 - a + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26283\/35 - -751. Let k = c + 27\/140. Which is bigger: -3\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/1787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.5. Let i be (34\/3)\/(28\/(-18)). Let z = i + 269\/35. Which is the closest to 0? (a) z (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -4 (c) 0.08 (d) 1\/3 (e) 155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -783\/4 - -33253\/172. Let r = 309\/430 + g. Let t = -677 + 7464\/11. What is the common denominator of t and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*-5*(1 + -1 + sqrt(4800) + -4) + -5)**2.\nAnswer: -36000*sqrt(3) + 482021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845430 is divided by 868.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkr when three letters picked without replacement from {k: 7, h: 1, j: 3, p: 4, r: 3}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:16 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 118709.\nAnswer: 1543217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -623123\/83650 + 1878\/239. Let b = q + 1\/50. What is o in 0 - b*o**2 - 9\/7*o**3 + 6\/7*o + 3\/7*o**4 + 3\/7*o**5 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:59 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782 is divided by 1396?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 267135029 rounded to the nearest one hundred thousand?\nAnswer: 267100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose l - 3*t + j = 0, -5*l + 6*t = t + 45. Let v be (-42)\/l - 3\/2. Solve -f + 7 = 2*k, k + 19 = v*f + 6*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -0. Suppose 0 = 4*l - 5*l + q*m - 86, l - m + 66 = 0. Let x = l + 58. Which is the closest to 1? (a) -0.5 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -32. Solve -4*r + 12 = -4*g, -b = 4*r - 9*r + 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2 + 8*c - 2. Let g be s(-3). Is 87\/8 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/26)\/80*10\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 z when three letters picked without replacement from uvnzvuvvvzdhz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 2\/9, -4\/5, -4, 1.4.\nAnswer: -4, -4\/5, 1\/19, 2\/9, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 145, 273, 395, 517, 645, 785, 943?\n\"Answer: z**3 - 9*z**2 + 148*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 258700.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 54*v**5\/17 - 503388*v**4\/17 + 1564697484*v**3\/17 - 1623284587064*v**2\/17 + 4858908427950*v\/17 - 3237188035036\/17 = 0.\nAnswer: 1, 2, 9319\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (-188)\/6. Let z = 53 + q. Suppose k = 3*k - z. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 32 = -137*q + 131*q + 4*r, -3*q = 2*q + r + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 602*p**4 - 3*p**3 + 214*p**2.\nAnswer: 14448*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0 - 1\/20*d**5 + 18*d + 0*d**3 - 11\/2*d**2 + 0*d**4. What is the derivative of f(b) wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6937 + -3.\nAnswer: 6934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 - 8*c**2 + c**3 - 2*c - 2 - 3*c**2 + 12*c**2. Give w(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*-6*6. Let i(c) = -137 - 17*c**2 - 8*c + 144 - 4*c**2 + 11*c**2. Let m(u) = -u**2 - u + 1. Determine p*m(r) - 2*i(r).\nAnswer: 2*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 128897359?\nAnswer: 128897359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 9*l**2 - 13*l + 9. Let c(a) = -a**3 - 9*a**2 - 14*a + 9. Let u(k) = -5*c(k) + 6*p(k). Let i be u(-8). Is 3 a factor of (-6)\/i + (-29)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 1. Let b be x(3). Let v = b - -30. Calculate the lowest common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 17 (c) 3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5582, 4, 30, 1, -5.\nAnswer: -5582, -5, 1, 4, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 8*d**2 - 10*d + 10. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -0. Suppose -g - 3*m + 19 = 0, 3*m + 2 - 1 = g. Let t(k) = g*k - 4*k - 3*k + 3*k + 3. What is t(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 15. Let a(v) = -v - 2. Let i(t) = -5*a(t) - f(t). Let k(u) = 1. Calculate i(n) + 3*k(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**2 + 13*q + 13. Let w(a) = -6*a**2 + 7*a + 7. Give 4*r(z) - 7*w(z).\nAnswer: 2*z**2 + 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 - 37*j**2\/7 + 366*j\/7 - 792\/7.\nAnswer: (j - 22)*(j - 12)*(j - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1553 + 3181\/2. Let k = y - 233\/6. Let h be -1 + 0 + 0 - 1. Is k less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**3 - 7826*b + 7825*b + 23*b**3 + 5*b**2 + 3*b**3 + 2 - 2*b**2 + b**4 to k*b**2 + d*b**3 + c*b + z + a*b**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13620 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*sqrt(171)*-2)\/(sqrt(18)\/sqrt(2)*-4) - (sqrt(114)\/(sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6)) - (sqrt(19) + -3 + -4))))**2.\nAnswer: -4*sqrt(19)\/3 + 595\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-88*r**2 - 38950 + 38950) in the form y*r**2 + j*r + d and give y.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 6. Let r be d(-4). Suppose 4*w + n = -263, 3*w - 266 = 7*w + r*n. Let j = 47 - w. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + 5*p - 12. Let n be r(-5). Solve -3*w + 23*a + 7 = 28*a, 0 = 3*w - 5*a + n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 66*y**3 - 63*y**3 + y**4 + 0*y**4 - y**4 + 0*y**4 + (-1 + 1 - 2*y)*(-y**3 + 5*y**3 - 3*y**3) + (-y**4 + y - y)*(2 + 3 - 4).\nAnswer: -3*y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {c: 2, v: 1, u: 1, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 + -4)) + 1940 + -1959\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 16\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 890994, 1, -1 in decreasing order.\nAnswer: 890994, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 1. Let k(r) = -r**3 + 3*r - 4 + 7*r**2 - 2*r + h. What are the prime factors of k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*p*z**4 - 4502*p*z**3 - 346*p*z + 1511 wrt z.\nAnswer: 1920*p*z**2 - 27012*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110101 + -1101010101000000?\nAnswer: -1100101111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/10389 and 69\/3172108?\nAnswer: 9516324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123629975 by -24725995.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 290703 + 291400 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1885591 by -1.\nAnswer: -1885591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let h(w) be the first derivative of -16*w**2 + 15*w**2 + 0 - 1 - 5. What is h(d(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1396 divide 407363755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -77*(-16)\/2904*(-441)\/343\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15694, -30446, -45198, -59950, -74702, -89454?\n\"Answer: -14752*p - 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -27*q + q**2 + 7 + 19 + 10*q + 10*q. What is the remainder when m(6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7118.\nAnswer: 2, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-32))\/((-3)\/48). Let h be (-90)\/(-64)*y + -6. Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112, -191, -494, -797?\n\"Answer: -303*o + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/16)*c\/c**(-8\/3))\/(c**(-4)\/c*c*c\/(c\/(c\/c**(-3\/14)))*c) assuming c is positive.\nAnswer: c**(1769\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2459, 3862, 3163, -688, -8741, -22046, -41653, -68612?\n\"Answer: -175*f**3 - f**2 + 2631*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6 and 43\/44538?\nAnswer: 44538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.152 + -0.652. Put -0.05, u, -1\/3, -2\/9 in descending order.\nAnswer: -0.05, -2\/9, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -16, 9, 0.1.\nAnswer: -16, -0.3, 0.1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106*k + 10 + 5 + 105*k)*(2*k**2 + 2*k**2 - 2*k**2) in the form o*k**3 + d*k**2 + n + l*k and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -56\/3. Let w = -0.1308 + -70.1692. Let o = 70 + w. Which is the nearest to 2? (a) o (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(7)*-1 - sqrt(7)) + (sqrt(7) - sqrt(28)\/sqrt(4)*6))*-1)**2 + 2.\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -77. What is the remainder when k is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0*o - o)*(-3 - 2 + 2).\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 277*a**5\/20 - 25*a**4\/4 - a**3\/6 - 63*a**2 + 5*a. What is the second derivative of t(k) wrt k?\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.624148 millennia to years.\nAnswer: 2624.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(15\/(-10))*3\/1*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181.4 + -199. Round v to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1318*a**2 - 1648*a**2 + 1 + 2558*a**2.\nAnswer: -408*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*w + 3*v, 5*w = 5*v + 137 - 42. Suppose w*j = 33*j - 2368. What is the remainder when j is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*s + 2*s. Let j be 11\/(22\/(-3199992)) + s. What is j rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 5*a - 15. Calculate v(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134501453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3\/8, 1.2 in decreasing order.\nAnswer: 1.2, 3\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 + 1464 = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 + 16*u - 3. Calculate n(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 31*h + 39*h - 142*h + 36*h + 26*h as f*h + b and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7584*t - 12698 + 63885 = -37942 - 70135 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23689.06 litres?\nAnswer: 23689060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqqeequuqeqqeq. Give prob of picking 1 e and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/4, 0, 0.9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 12. Let f = 58 + -72. Let b be o(f). Suppose c - 44 = 4*x, 2*c - 3*x - b*x = 97. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 87*j**2 - 2157*j - 192932. What is f(-86)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 82\/3, 3, 290, 2 in ascending order.\nAnswer: 2, 3, 82\/3, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1832*s - 5494. Determine u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291414426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 minus -35289123?\nAnswer: 35289125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055219982 to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 52 (b) -1\/5 (c) 7 (d) 4 (e) -5 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 6030*s - 6032*s = 569, -3*v = 2*s - 81 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 221728, 221739, 221750, 221761?\n\"Answer: 11*m + 221717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 7, h: 5, c: 2, y: 3, a: 1, k: 2}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -204 * 0.4\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 530 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1.639.\nAnswer: -1.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 129875212 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: Add 132768.73 and 9.\nAnswer: 132777.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*a - 49, -2*c = -5*a - c - 61. Let g = a + 9. Let q(o) = o**2 + o - 5. What is the units digit of q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + -28.6. Let s = i + -11. Let r = s - -39. What is the second biggest value in r, -1\/5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 5*u**2 + 8*u - 5. Let t(g) = -2*g**3 - 6*g**2 - 9*g + 6. Suppose -22*a - 7 = -19*a + 5*q, 3*q = -a - 9. Give a*z(p) + 5*t(p).\nAnswer: 2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekkk when four letters picked without replacement from {e: 1, k: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s - 4*s + (0*s + s - 3*s)*(1 + 3 - 2) - 3 + 3 + 2*s + 4 - 4 - s - 9*s + 6*s - s)*(0 + 0 - 2)*(3 - 1 + 0)*(153 - 134 - 877).\nAnswer: -30888*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*q**4\/8 + 45*q**3\/4 - 7*q**2\/8 = 0. Calculate q.\nAnswer: -7, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 2*c**3 + c**3 + (1 - c - 1)*(-c**2 - 2*c**2 + c**2))*(2*c - c - 3*c).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:06 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610655825 to the power of 1\/3, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 2\/9, 0.0101?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - (-6)\/8. Let m be -2 + -104 + 1 + r. Let s = 149 + m. Calculate the common denominator of -49\/9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = -11*b + 26*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1325, 2649, 3973, 5297, 6621, 7945?\n\"Answer: 1324*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/s**(-3\/2))\/s)**(-14))**(-38))**(-50))**1 assuming s is positive.\nAnswer: s**(-39900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030433 (base 5) in base 12?\nAnswer: -313a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccmccmcmmmcmccmcmmc. What is prob of picking 2 c?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 333?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1659*f + 6633*f - 1235*f to p + k*f and give k.\nAnswer: 3739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from xubxp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 2*n + n)*(-28 + 12 + 3)*(16 - 16 + 3*n)*(4*n - 2*n - n) to the form a*n**2 + k*n + h + j*n**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 6) + -33 - (-38 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 10, d: 3, k: 1}. What is prob of picking 2 u and 2 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 374958 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.688852 milligrams?\nAnswer: 0.004688852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**11*a))**22*a**27\/a**(-10\/9) assuming a is positive.\nAnswer: a**(2233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**7\/420 + f**6\/90 - f**5\/60 - f**4\/6 + 2*f**3\/3 - 3. Let o(z) be the third derivative of n(z). Factor o(x).\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - r**4 + 3*r**4 - 2*r**2 + (-28 - 16*r + 28)*(-3*r**3 + 3*r**3 - 3*r**3)*(2 - 2 - 2).\nAnswer: -92*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1984*u**2. Let a(j) = -3*j - j - 68193 + 68193. Give a(v(c)).\nAnswer: 7936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23.69 - -3\nAnswer: 26.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 14.77336.\nAnswer: -295.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(612)))**2 + -1.\nAnswer: -384*sqrt(17) + 9855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 - -1*(0 - 1). Let y be 5 - (-3)\/12*-4. Suppose -y*j - 2 = -u. Solve -j*g = 10 - 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - c - 1. Calculate the remainder when a(3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 8*m. Let k(i) be the first derivative of -5*i**3\/3 + 9*i**2\/2 - 115. Determine -6*k(a) - 7*z(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5632*n**5 - 1640*n**2 wrt n?\nAnswer: 337920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 7. Let b be p(4). Suppose 32 = b*a - 13. Suppose a*q - 8*q = 53. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460087*u + 500272*u + 799751*u.\nAnswer: 1760110*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32053b5 + -3?\nAnswer: -32053b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:49 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1)\/(-7)*3. Let k(b) = 4*b - 72. Let z(i) = i**3 + i**2 - 4*i - 7. Let x be z(3). Let y be k(x). What is the third smallest value in l, y, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 432246830.\nAnswer: 2593480980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/5748 and -6\/5269?\nAnswer: 63228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 683546.1ml in litres?\nAnswer: 683.5461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by ((-3)\/(-6))\/(3\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -472, 3, 64, -4, -1 in increasing order.\nAnswer: -472, -4, -1, 2, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-1*(1 + sqrt(275)) + -2)**2*1.\nAnswer: -3408 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1513, 1653, 1735, 1759?\n\"Answer: -29*j**2 + 227*j + 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6334.\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r + 4. Suppose -2*x + r*x = 0. Suppose 8 = 2*t - 4*h, x*t - 10 = -4*t + 5*h. Solve t*a = -2*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18 = 3. Let r be (v\/(-25))\/((-18)\/15). Suppose d - 6*d - 15 = 0. Which is the nearest to r? (a) d (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 - 2 - (2 + (12 - -4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {z: 5, s: 2, v: 7, q: 3, x: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from skskhhhhshhsh.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1900) + (1 + sqrt(1216) - sqrt(19)).\nAnswer: -3 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34811168\/23 less than or equal to -1513528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 81, -2, 18, 246 in ascending order.\nAnswer: -14, -2, 18, 81, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29754, 29, 0.01?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -58. What is the third biggest value in -1, -0.3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -1\/3, 1\/4 in descending order.\nAnswer: 6, 1\/4, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 2)**2 + -5)*-5.\nAnswer: -20*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291 + 307. Let s be 112\/1 + 1 + -1. Calculate the greatest common factor of m and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 12*z + 6. Let k be x(12). Suppose 4*w - k*w - 4 = 0. What is the smallest value in -0.2, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-27 - (5 + -5 + -29)) + (27 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {v: 7, b: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -601975096 and 7566.\nAnswer: -601967530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x + 32 = -97*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (4 - 8) + (-431 - -465).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 8, 5 = 4*d - 2*f - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 6, k: 1, z: 3, s: 1}. What is prob of sequence slz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*f**2 - 2*c**2*f + 2*c**2 - 754*c*f**2 + 1612735*c + 1209*f**2 wrt f.\nAnswer: 2*c**2 - 1508*c + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801182 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((-5*-2*sqrt(490))\/sqrt(10))\/(-1*-2*sqrt(343)).\nAnswer: 90*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 8*s + 4. Let r be (-4)\/(-2)*3*-1. What is j(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 = -s + 4*z, 3*z + 27 = -s. Let k be 3 - (14 - 152\/16). Which is the nearest to 2? (a) 1\/7 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3707 and 2.\nAnswer: -3705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 296\/(-185) + (-2607)\/605?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -368714?\nAnswer: -368718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260.98 + -261. What is the second biggest value in x, -4, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, 144, 602, 1506, 3006, 5252, 8394, 12582?\n\"Answer: 25*c**3 - 2*c**2 - 7*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 190*k**2 + 2564*k + 109. What is p(-13)?\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 2*i - 4 + i**2 - 5*i. Let f(x) = -x**3 + 3*x**2 + 5*x. Let m be f(4). Calculate h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -447 divided by -3\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 168, 1, 0.639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/(-3))\/(-4))\/((-6)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (1 - -1 - 18). What is the units digit of 305\/4 - 4\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t + 23 = 3*k, -4 = -t + k. Suppose 4*j + 2*p - 226 = 0, 107 = -0*j + 2*j - p. What is the highest common factor of t and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Suppose w = 2*n - 6847 - 20581. Suppose -n = -4*b + 10286. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 4*n**2 + 6*n + 1. Let h(l) = -l + 6. Let j be h(6). Suppose j*t = -2*t - 8. Is 15 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 378? (a) 1\/2 (b) -1 (c) 34\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -820 + 930. Suppose 2*z - 22 = z. Calculate the highest common divisor of l and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 613*t**2 - 335*t + 3. Is y(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-10 - 20)) + -24 + 2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(1 + (sqrt(99) - (sqrt(99)*-2 + 0) - sqrt(99))**2))*-4.\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 564, -1 in increasing order.\nAnswer: -1, -1\/5, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 143300 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: Let h = 151 - -415. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(270\/(-55)) + 1 + 50584\/18 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 1 - -1 - 4. Let v(x) be the first derivative of -1\/2*x**2 - 4*x - 1. What is v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u**(-2\/61)*(u\/u**(-9))\/(u\/(u*u**(4\/3))) assuming u is positive.\nAnswer: u**(2800\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/32 and 1\/72392.\nAnswer: 289568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -0.2 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1312\/(-52) - (-304 - -273) - 5?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -965 - 113. Let s = 889 - u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16493279 * 6.\nAnswer: -98959674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 30. Give m(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((36\/12)\/42).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23042 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 999596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4903648.1 - 256.2.\nAnswer: -4903904.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718 + 731. Let v(m) = m**3 - 14*m**2 + 10*m + 41. Determine v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 4, w: 3}. What is prob of sequence wzww?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:15 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(648)*3 + sqrt(8) + -6*sqrt(88)\/sqrt(11))*4 + 0)**2.\nAnswer: -1056*sqrt(2) + 61961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10. Suppose 5*o = 2*o + b. Suppose -i + 3*i + i + 15*i**3 - 9*i**o - 9*i**3 = 0. What is i?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 0*b**3 - 3*b + 0*b**4 + 1\/5*b**5 + 1\/2*b**2. Find the first derivative of g(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 429 + 3*p**2 + 136*p + p**2 - 569 = 0. Calculate p.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(10\/11))**(10\/9)*(v**(2\/5)*v)\/(v\/(v**(-5)\/v)*v)*(v**0)**(11\/2) assuming v is positive.\nAnswer: v**(-3067\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and -21\/262.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 12*h**3 - 75*h**2 - 84*h.\nAnswer: 3*h*(h - 4)*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 2830354?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6243592 and 7\/53286.\nAnswer: 2004193032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Suppose -1 = x - t. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 3 - 3*x**2 + x + 2*x**2. Suppose -3*b + 8 - 2 = 0. What is k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 35. Solve 2*i = x*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -629 - -642. Solve -f = -3*c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5035, -5048, -5057, -5056, -5039, -5000, -4933, -4832?\n\"Answer: n**3 - 4*n**2 - 8*n - 5024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/54)\/((3\/8*-1)\/(-2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -27*p**4 + 4*p**2 - 42*p - 4. Let f(z) = -81*z**4 + 11*z**2 - 125*z - 11. Let l(h) = 4*f(h) - 11*u(h). What is the second derivative of l(q) wrt q?\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 6?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/6 - 1017575*b**2\/2 - 776597721969*b\/2 - 16308402578167\/6 = 0.\nAnswer: -1526359, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48.04 from -515383564.39.\nAnswer: -515383612.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 2*d + 42 + 22 + 29 - 12*d**2 - 91 in the form o + p*d**3 + r*d + b*d**4 + s*d**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560 = -666*h + 861*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*-2*(sqrt(9072) + -1 + sqrt(9072) - sqrt(9072))*4)**2.\nAnswer: -155520*sqrt(7) + 20903913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10 and -5\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 888000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 2, e: 5}. Give prob of sequence keh.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 135163.3369258.\nAnswer: -135163.7369258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j**3 + 3*j + 2*j - 3*j + 18*j**3 + 2 to the form m*j + u + l*j**2 + a*j**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -1. Let y = 3306\/5 - 662. Suppose 25*c = 21*c. Sort c, y, f in increasing order.\nAnswer: f, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + i**3 - 24*i - 16*i**2.\nAnswer: i**3 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -13. Suppose 0 = 11*a - p + 1. Find the second derivative of -2*x**4 + 21*x**a - 21*x**3 - 12*x**4 + x wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 - 777 = 9*u - 505 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/24 + (-1150)\/(-6). Let l = 185 - g. Which is the third biggest value? (a) l (b) -4 (c) 4 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = -80*g + 24*g + 28*g + 6, -5*g - 3*g = x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + sqrt(833) + 2 + sqrt(833) + sqrt(833) + -3*sqrt(833)*-3 + -2)**2)*6.\nAnswer: -5040*sqrt(17) + 719832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -407.\nAnswer: 186\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 4, l: 2}. What is prob of picking 2 c and 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 8*s - 2. Let u be z(4). Let y be (-17500010)\/35 + 4\/u. Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.04 (b) 9 (c) -65.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - -4 - (-12)\/(-4)). Solve l - 5 + 1 = r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14be + -315?\nAnswer: -17d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16592.63 + 17708.1. What is p rounded to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46685951 to the nearest ten thousand.\nAnswer: -46690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z - 7. Let j be x(0). Let o = -4 - j. Suppose -4*k - 8 = 4*i + 4, -4*k - 14 = 3*i. Solve 0 = y + o - i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 - -192. Suppose z = 2*l - 5. Solve l*m + 5*f = -21, 2 + 18 = -4*m - 4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*o = 353*o + 18090. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50 and -3\/170258.\nAnswer: 170258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12584259.\nAnswer: 3, 1398251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4*k + 2494. Determine b(-54).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*c = -776*c + 89*c + 643 - 2473 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30909432 and 516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 492*t**3 - 2*t**2 - 2*t - 1. Let k be a(-1). Let d = -197 - k. Let u = 487 - d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 - 9*l\/2 + 19\/4 = 0 for l.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/13 - 33\/65. Which is the third smallest value? (a) 1\/5 (b) -5\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/223478 and -44\/99977.\nAnswer: 3799126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 3. Let n(x) = -5 + 14*x + 1 - 26*x. Let t be 13 + 0 + -98 + 88. Calculate t*n(m) + 4*d(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v + 7. Let a be o(-5). Suppose a*h + 40 = 6*h. Let k = h + -8. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**2 + 3*b - 3. Let g(c) = c + 5. Let t be g(-8). What is the remainder when a(t) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g + 6. Let x = 6 - g. Differentiate 5 - x - 2*l**4 - l**4 + 2 with respect to l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1241 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95506 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21648 and 8976?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 160666.6 nanograms?\nAnswer: 0.0000001606666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -3. Let t be h*3*2\/(-12). Solve t*w - 6*w - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3268*-0.04.\nAnswer: -130.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 30 = 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -573897, -573948, -573999, -574050, -574101, -574152?\n\"Answer: -51*n - 573846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194.52 - -101.49. Let s = 93 + i. Let j = 1 + -1. Which is the closest to j? (a) 5 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**2 + 23*h**2 + 21*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203216*h**3 - 4182 wrt h.\nAnswer: -609648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.8 - 21.8. Let m be (-3)\/30 - (-6)\/(-15). Which is the nearest to m? (a) 0.02 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14448007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 251318869*p**2. Let o(r) = 2*r**2. Calculate o(v(z)).\nAnswer: 126322347830878322*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -130, -199?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 27. Suppose a = 3*b - 18. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 - -4 - (0 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -36520046366?\nAnswer: -36520046365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303810 (base 10) to base 3.\nAnswer: 120102202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 10, 4, 1 in ascending order.\nAnswer: -1, 1, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/13495 and 79\/4260.\nAnswer: 11497740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = 2*t - 143, 2*t - 114 = -4*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxyx when four letters picked without replacement from {s: 1, y: 10, x: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 19*z**2 - 21732*z + 283704. What is q(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 12 - 2 - 10.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4074 - 260*j**4 - 2*j**2 - 4074 + 58*j wrt j.\nAnswer: -6240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23302605*h**2 - 148963242*h wrt h?\nAnswer: -46605210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*z + 14 + 236 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*y - 3*z + 2*z, 4 = 2*z. Let s(x) = -x**3 + 12*x**2 - 24*x + 43. Let u be s(y). Solve -u = -10*c + 9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 3:00 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 14*z - 66. Let m be u(-8). Does 66 divide m - -10 - (-1195 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 85*x + 45.\nAnswer: -5*(x + 9)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -958, -1419, -1874, -2317, -2742, -3143, -3514?\nAnswer: -3849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84297 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:31 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587158621.\nAnswer: 7, 29, 413201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914710830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 71*d - 165. Give s(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 5*r + 2*r. Let d(v) = 2*v + 3*v - 3*v. Calculate a(d(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-19) - (4 + -3). Let u = -53490.3 - -53490. What is the fourth smallest value in -0.1, j, u, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 119?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 + (-1 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 33 = 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -22. Let f = p + -8. Suppose 2 = f*d - 94. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2) + (-8 - -11). Let d(o) = 2*o + o + m*o - o. Let z(t) = 2*t. Calculate z(d(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:17 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 16. Suppose x + 3*f = -f + 7, -21 = -3*x + 3*f. Let l(i) = i - 5. Let t(d) = x*l(d) - 2*w(d). Let v be (-1 + 1)\/((-2 - -2) + -1). Give t(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1850 and 446820.\nAnswer: 826617000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -9*q**5 - 12*q**4 + 114*q**3 + 264*q**2 + 183*q + 36 = 0?\nAnswer: -3, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jehehhhe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22936437 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:17 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 20 = 0. What is the units digit of (-1)\/k + 9\/(225\/680)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -4\/23 (c) 260.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/4 - 376365*a**2\/4 + 1770679710*a - 1770585620.\nAnswer: 5*(a - 37636)**2*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**3*v**2*z**3 + r**3 - 47*r**2 + 196*r*v**2*z**2 - 2608104*v**2*z**3 + 77*v**2*z**2 wrt z.\nAnswer: 6*r**3*v**2 - 15648624*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycwcyxvyyxyvxvcgcw. Give prob of sequence cx.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106.502 + -5.794. Round k to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 11, -399, -80, 2 in increasing order.\nAnswer: -399, -80, -5, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 u when four letters picked without replacement from {u: 7, w: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15986857 to the power of 1\/2, to the nearest integer?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513524951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1561 = 4*g + a, -5*g + 0*a + 1947 = -3*a. Suppose -390 = -2*t - 5*v, 5*t - 7*t + v = -g. What are the prime factors of t?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2077821 and 17081?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7)*-3 + -3 - ((sqrt(847)*-1)**2 - sqrt(847)).\nAnswer: -850 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1353, 1355, 1357, 1359, 1361?\n\"Answer: 2*g + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*2 - (-3332)\/(-539). Which is the third biggest value? (a) -2\/7 (b) w (c) 2 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.4 - -18.514. Put 1, -3, m, 2\/7 in increasing order.\nAnswer: -3, m, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 226 - 223, 2*v = -4*b - 402. Which is smaller: v or -202?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -27*u + 0*u**4 + 8*u**2 + 0*u**3 + 0 - 1\/60*u**5. Let y(s) be the first derivative of h(s). Let r(w) = 37*w. Give r(y(o)).\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 100 - 100 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q + 4 = 0, q + 17 = f. Solve -f*j - 9 = -18*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110001 + -1?\nAnswer: -10111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.26 + -2.296. Which is smaller: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*c + 75 + 133, 3*c - k - 146 = 0. Suppose 0 = c*n - 48*n + 18. Is -9 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2\/(-20)*1). Let n be ((-6)\/9)\/(b\/(-12)). Let y = -0.8 - -0.7. Put 4, y, n in increasing order.\nAnswer: n, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88362 take away 2238.6?\nAnswer: -2237.71638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6280 + 1984?\nAnswer: -4296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4538435919?\nAnswer: 3, 41, 131, 281663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 + 8*d**2 - 248*d\/7 + 256\/7.\nAnswer: 2*(d - 2)**2*(d + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/728 - (-665)\/(-60515)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:42 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 42. Let o(m) = 18*m + 126. Let y(i) = 11*d(i) - 4*o(i). Differentiate y(t) wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -179. Sort z, 5, 0, -2.\nAnswer: -2, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 15*b**2 - b + 3. Let y be g(-15). Suppose 2*x + 3*a = y, -4*a + 2*a = -8. Calculate the remainder when 6 is divided by (-2)\/(-3) + 7\/x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1)\/i)\/(i*i\/((i*i\/(i\/((i\/(i*i**(-8\/3)\/i))\/i)))\/i)))\/(i*i**(10\/7)*i**8\/i))**(-25) assuming i is positive.\nAnswer: i**(5125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let z(w) = w**3 + 13*w**2 - 12*w + 31. Let q be z(-14). Solve f - q = j*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 14*w**2 - w + 20. Let k be y(14). Suppose -k*c + c = 100. What is the common denominator of 24\/11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*o**2 - 1485133*o - 22680042?\nAnswer: 16*o - 1485133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25841 - 4144. List the prime factors of r.\nAnswer: 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 11*g + 6104. Suppose 3*y = -2*o + 1144, 2*y - 3*o = 6*y - g. Calculate the least common multiple of 4\/(-18) - y\/(-90) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163628431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.5 + 17. Which is the nearest to 1? (a) i (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4909641 months to years.\nAnswer: 0.040913675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6 + 16\/48. Put o, -1\/11, 0.2 in descending order.\nAnswer: o, 0.2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773 - 64 = -167*d + 165 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69630 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Let r be 2\/8 + 233\/o. Let q = 811\/14 - r. Is 0 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.3759 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = -2517 + 753. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3*a**2 + 13 + (0 + 0 + 1)*(0 + 0 + a**2) + 3*a**2 + a**2 - a**2 + (-3 - 3 + 5)*(a**2 + 0 + 0) - 2*a**2 - 3*a**2 + 3*a**2)*(-18*a + 5*a - 3*a).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 146. Let i be m*(-3)\/(2 - 5). Suppose -w + 38 = -0*w - 3*x, -i*x - 93 = -3*w. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 3*o. Suppose 4*h = 30 - 74. Let a(q) = 7*q**2 + 5*q. Calculate h*n(c) + 6*a(c).\nAnswer: -2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -617, -1509, -2393, -3269?\n\"Answer: 4*i**2 - 904*i + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32*d + 2. Let a be m(-1). Let p = a - -45. Find the second derivative of 2 + 4*b**5 - 2 + p*b wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:08 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 307.3682 milligrams?\nAnswer: 0.0000003073682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l = 41*l + 78. Suppose 0 = -43*x + l*x + 20. Sort -5, 3, x, 4 in ascending order.\nAnswer: -5, 3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 4. Let a be g(-4). Suppose -4*t + 2*t + 2*v = -10, -4*t = 5*v - a. Suppose -3*m = 2*m - 10. Solve -2*d - n + 4 = -2, t*n - m = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139100 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 7 + 19 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 672?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/129*-2*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 28180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/25)\/(54\/135). Let t be (-15)\/(-28) + (-1)\/4. Suppose t*v**i + 0 + 2\/7*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 25. Let m be w\/(-2)*20\/30. Calculate the remainder when 59 is divided by m*(3 + -3) + 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -7 - (-10 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7. Suppose -r - 3*r + 20 = m. Solve 0 = 4*i - r*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358448 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3284, -3283, -3282, -3281, -3280?\nAnswer: -3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a + 4 = 0. Let x = -43 - -42. What is the nearest to a in x, -0.3, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2373*c + 2375*c = 5*q - 15, 2*q = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13454120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 2703700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*n = -5*f - 470*n - 27, 4*n - 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -894 >= -895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9354 is divided by 426.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 296106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 - 155*l - 616. Let a be p(-5). Solve a = b - 2*g, b - 5 + 6 = -3*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 8*h**2 + 109*h - 109*h as v*h + p + w*h**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -39. Let d = -347 + 345. Sort -5, m, d.\nAnswer: m, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2792, -2786, -2768, -2732, -2672, -2582, -2456, -2288?\n\"Answer: w**3 - w - 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 64*p - 122*p + 58*p - 8*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 659, 2625, 5901, 10487, 16383, 23589?\n\"Answer: 655*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1 - -2 - (-278093)\/(-70110). Let c = 1\/7011 - v. Calculate the common denominator of -77\/72 and c.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1 + sqrt(121))\/sqrt(11))**2 + -5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 8085*z - 3671766 = 0. Calculate z.\nAnswer: 483, 7602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 1417*u**2 - 3*u + 13*u.\nAnswer: 1417*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 172*m + 126*m)*(5*m + 3*m - 2*m).\nAnswer: 1788*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.189, -2, -11, 3, 0 in increasing order.\nAnswer: -11, -2, -0.189, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0)**35*u*u**5*u*u*u**(-2\/11))**(-34))**(-3) assuming u is positive.\nAnswer: u**(8772\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-56850))\/(44810\/(-1057615796)). Let n = b - -1\/1698299. Let l = -3\/125 + n. Calculate the common denominator of l and -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 162*v**2 + 4*v + 175*v**2 + 0*v.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1) + (-22)\/(-11). Let n = b - -14. Let r(z) = -z + 15. Let j be r(10). Solve 0 = 4*w - n - j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -44.9. Let c(w) = -w**2 + 2*w - 1. Let d be c(2). What is the nearest to g in d, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*s = 22, 0 = 3*z + 4*s - 2*s - 26. Suppose 4*h - z*h = 0. Solve h = -l - 3*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 4854*k + 18581*k + 37.\nAnswer: 23435*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 322, 2.\nAnswer: -4, -2, 2, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 361\/304 - (2*-1)\/(8\/(-6)) and (1 + 382\/(-548))\/(-1).\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 300755787?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38297178 and 8510484?\nAnswer: 76594356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * 3.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -971*o - 52. List the prime factors of y(-4).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 12, r: 2, y: 1, t: 2}. Give prob of picking 3 c and 1 t.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -27*w**4\/4 + 30531*w**3 - 115920249*w**2\/4 + 7858183155*w - 872773725 = 0.\nAnswer: 1\/9, 590, 3343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/(m**(3\/2)*m))\/(m**(2\/7))**(1\/9) assuming m is positive.\nAnswer: m**(-3257\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373538 * 0.4.\nAnswer: 149415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 5.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 1, -435, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.217 + 11.217. What is the nearest to 1 in 2\/25, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01989285 rounded to five decimal places?\nAnswer: 0.01989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let k = -351 - -421. Let j be (-6)\/32*k\/105. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r - 481. Let a(y) = 5*y + 269. Determine 5*a(m) + 2*t(m).\nAnswer: 5*m + 383","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*m - 20, 0*k + m + 118 = 4*k. Let g = k + -20. Suppose g*w = w + 4401. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/1260 + 31*x**4\/12 + 57*x**2. Let m(r) be the second derivative of a(r). Let q(i) = 26*i**2. Calculate m(q(y)).\nAnswer: 1352*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + -2.1. Sort a, 3, -0.08 in ascending order.\nAnswer: a, -0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -16*f + 5*f + 14*f + 3*f. Let i(o) = -23*o + 17. Let m(b) = 8*b - 6. Let w(r) = -6*i(r) - 17*m(r). Give g(w(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f + 53. Give i(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*x - 161, 0 = 4*x - 7*x - 2*r + 222. Let k be (-1 - x\/(-12))*3. Solve 0 = 14*b - k*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 2, e: 4, x: 1, d: 1}. Give prob of sequence dn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 2. Let c(l) = -4*l + 1. Suppose 2*j - 2 = -3*k, -4*j + 2 = -8*j - 3*k. Determine j*h(v) - 3*c(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 27. Let b = y - -8. Let t = -35.909 + b. Round t to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/199 (b) -3 (c) 1\/3 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (3 - (-3 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10020011220102 (base 3) to base 14\nAnswer: -329512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91140\/(-630)*21\/49.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9058)\/70 - (-3)\/(-5). Suppose -3*u + d = 2*d + 650, -1088 = 5*u + 4*d. Let v = h - u. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387858)\/(-27486) + -1*(-5)\/(15\/(-51)).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2. Let f(k) = -61*k**2 - 12*k. Determine f(q(n)).\nAnswer: -10309*n**4 - 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 45*u - 268. Let z be f(-38). Sort 4, z, -312 in ascending order.\nAnswer: -312, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37900, 151385, 340460, 605125?\n\"Answer: 37795*n**2 + 100*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114\/53 + -3907\/954. Calculate the common denominator of 49\/6 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpzzzpzzpzzzzzppp. What is prob of sequence pzzz?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, w: 1, x: 1, c: 1}. What is prob of picking 1 a, 1 w, 1 l, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 + 17*j + 2. Give r(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*c**4 + (-6*c + 5*c + 3*c)*(46*c**2 - 46*c**2 - 9*c**3) + c**4 + 2*c**4 - 2*c**4 to q*c**3 + y*c**2 + n*c**4 + x*c + b and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -59*v. Let w(b) = -b**2 + 1 - 1 + 4*b**2. Calculate w(n(i)).\nAnswer: 10443*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1545433633\/1164 - 1327692. Let r = s + -4\/97. Is 1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3*s - 4)*(-1 - s + 1) + (-2 + 2*s + 2)*(-7*s + 4*s - s) - 27*s**2 - 33 + 33 to the form m*s + r*s**2 + o and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/2899309?\nAnswer: 1\/2899309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.031 + 0.8221. Let q = 0.0001 - x. What is q rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 16 - 3)*(-3 + 0 + 1)*(21*y - 5*y - y) + 2*y - 8*y - 8*y to the form m + p*y and give p.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 15*q - 2 - 11 + 4, x - 46 + 11 = -12*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136070 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -71*z - 2343. Let i be u(-33). Let d(s) be the second derivative of s**3 - 8*s + 1\/8*s**4 + 0*s**2 + i. Factor d(a).\nAnswer: 3*a*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -584\/7 - -77. Which is greater: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.8817*-0.2\nAnswer: -6.77634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44165 + 77018. List the prime factors of o.\nAnswer: 3, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 433766216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2012 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -17403, -0.007, 2 in descending order.\nAnswer: 2, 0.5, -0.007, -17403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlzhdldyllltdlztzd. What is prob of sequence dty?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + m + 3*m + (0 - 3 + 2)*(-2*m + 4*m - m) + 23295*m - 33015 - 32998 + 66013 to the form k + v*m and give v.\nAnswer: 23296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(99) + -1))**2.\nAnswer: 96*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3608000 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 0.5 (c) 1 (d) 4 (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 3*x - 1. Let f(o) = o + 8. Let j be f(-10). Let y be i(j). Calculate the common denominator of 17\/7 and y + (4 - (-196)\/12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*48\/(-392)*-7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/((-2736)\/2610))\/((50\/12)\/(-5)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 89*v**3 + 118*v - 36. What is the hundreds digit of x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a - 50. Let p(s) = 7*s - 33. Let x(v) = -5*n(v) + 7*p(v). What is the units digit of x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -4369, -8882, -13397, -17914, -22433, -26954?\nAnswer: -31477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4644*r**3 - 166125*r**2 - 1627398*r - 9456 = 0. Calculate r.\nAnswer: -8, -1\/172, 394\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puup when four letters picked without replacement from pnnnnpnuuuun.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let v = -3.82 + -0.18. Is v bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -44, -78, -128, -200, -300?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) + (0 + sqrt(13))*-6))**2 + 5.\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 494.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12*(6 - -3). Let t(x) = -x**3 - 4*x**2 - 5*x - 4. Let c be t(u). Solve -c*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -505.193 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 56992?\nAnswer: 56992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -407 - -411. Solve -p*w + 2*x - 6 = 0, -20 = 2*x - 6*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-24)\/(-1) - (472 + -460).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 + 0.1. Let v = -0.07 - i. Let g = 6.06 - v. Which is the biggest value? (a) -2\/3 (b) g (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15829899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*t**5 + 122*t**4 - 46*t**3 - 1285308*t?\nAnswer: -180*t**3 + 1464*t**2 - 276*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84\/1937 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1049 times 0.692\nAnswer: 725.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 + y + 7*y**2 + 3*y**3 + 4 to p*y**2 + a*y**3 + u*y + d and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * 213.\nAnswer: 596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 20 - (-10 - 1)) + -3 - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 555881 a multiple of 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 24. What is the common denominator of 2\/(-6) - 562\/y and ((-496)\/336)\/((-1)\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 4. Let u = 149 + o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 50*x**2 + 34*x. Let y(a) = -6*a. What is q(y(m))?\nAnswer: 1800*m**2 - 204*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*p + 1695 = w, w - 324 = 4*p. What is the highest common divisor of w and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144557112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/252 and -85\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492251 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/2996, 3, 2\/11, 2.16, 4?\nAnswer: -1\/2996","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4617511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423423 is divided by 95.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Suppose -5*d + 109 + 511 = 0. Let z(g) = -3*g**2 + 124 - d. Calculate z(c(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k**2 + 2*k)*(k**3 + 0*k**2 + 0*k**2) + (-2*k**2 + 0*k**2 - 2*k**2)*(267*k**3 - 520*k**3 + 148*k**3 - 2*k**2).\nAnswer: 421*k**5 + 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - ((-2)\/2 - 2). Let c be (-38)\/(-14) + q\/(-28). Factor 16\/3*k**c + 2\/3*k**2 - 4\/3*k + 0 + 10\/3*k**4.\nAnswer: 2*k*(k + 1)**2*(5*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481726971 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 51 = -2*v. Sort v, -2\/3, 0.4 in ascending order.\nAnswer: v, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/8, -17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/((-3)\/(-15)). Suppose o*n - 10 = -3*n. Solve -v - n*w = 2*w + 21, 2*v + 4*w + 22 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 306*w - 4 + 309*w)*(-w**3 - w**3 + 0*w**3) to the form y*w**4 + g*w + m*w**3 + p*w**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/21)*a**(-4))**(1\/5) assuming a is positive.\nAnswer: a**(-82\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 + 8 + -2 - 13 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((sqrt(1008) + (sqrt(1008) - (0 + sqrt(1008)) - sqrt(1008)))**2 - sqrt(7))) + -1 + (4*sqrt(7)*3 + sqrt(28)\/sqrt(4)*4)*-6.\nAnswer: -97*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (69\/(-15) - 3)*-35. Let q = y + -151. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848.1797 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 151972*r\/3 + 26261227\/3.\nAnswer: (r + 173)*(r + 151799)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - 25.3. Let b = -24.1 - v. Let p = 5444 + -5445. Is b smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2069 divided by -32.\nAnswer: -2069\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 19*c**2 - 2*c + 40. Let b be t(19). Let h = 3 + 3. Let w be (h\/4)\/(5\/10). Sort w, b, 5.\nAnswer: b, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465\/(-93) + (-42 - -19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 53*m**2 - 168*m + 15. What is v(-56)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:16 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 - 5*a**2 + 64*a - 5. Let k(w) = -10*w**3 + 6*w**2 - 64*w + 6. What is -6*h(i) - 5*k(i)?\nAnswer: 2*i**3 - 64*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -38\/9, 0.3, 5, 1.8, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.9. Let m = -0.4 - u. Let n be (-1 + -1)*3\/24. Which is the biggest value? (a) m (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10666839 * 0.4\nAnswer: -4266735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/36 - (3 + 179\/(-6)). Solve -5*d - 5*y + 8 + a = 0, -8 = d - 2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 + 130. Suppose -4*p - 35 = -g. What is the remainder when p is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 5*s**2 - 5*s - 3. Let l be y(-4). Let j be l\/6 + (-1)\/2. Which is the nearest to j? (a) -4 (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15916.41 + 16011. What is o rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 4. Let i be s(-6). Let l be 30 - 5513\/(-2220)*-12. Factor 0*h + 0 + l*h**i.\nAnswer: h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 3\/4*x**2 + 24 = 0. Calculate x.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((4 + -2)*-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u - 2. Let w(p) = -17*p**3 + 15*p**2 + 2. Let y be w(3). Let z = y - -327. Let k(l) = -l - 1 + 1. Calculate z*k(r) - d(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-3)*6375\/50 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7237 - 7237 + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12 = 0, 127*u + 4*i - 417 = 333 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b + 6. Let h be m(-8). Let y be -4*h\/(-4) - -3. Let d = 1838\/10875 - 24\/125. Which is bigger: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143715377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(3\/2)\/y)*y)\/y)**(-6))**(-17)*((y*(y\/(y*(y*y**(2\/13))\/y))\/y)\/y*y*y*(y\/y**4*y)\/y*y)\/(y*y**(4\/5)*y**(-6)) assuming y is positive.\nAnswer: y**(10143\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2264*o - 229 + 230 + 594*o.\nAnswer: 2858*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 173738018 divided by 86869009\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 483973.\nAnswer: 483974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 0.28.\nAnswer: -8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 20*r - 7. Let w be a(-6). Solve k - 2*k + w = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**4 + 200*r**3*v - 7*r**2*v**3 + 13*r*v**3 - 3*r - 218*v**2 wrt r?\nAnswer: -60*r**2 + 1200*r*v - 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1090*w - 1172 - 2789*w - 145*w + 1172 as c + d*w and give d.\nAnswer: -4024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2645 divided by 1.\nAnswer: -2645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 12688, 28352, 50234, 78328, 112628, 153128?\nAnswer: 199822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**2 - 457*h + 4343. Let d be r(12). Suppose -34 = -2*w - 0*f + 2*f, 3*w - 43 = f. Solve -d = b - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -3132342312?\nAnswer: 3132342301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - v = v + 8, -v = 1. Suppose 4*z + q = 28, z - 3*q + m*q = 12. What is the least common multiple of z and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 30. Which is bigger: n or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63873823 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: Let o be (-37)\/7 + 2\/7. Let l(k) = -4*k**3 + k**2 + 1. Let p(j) be the first derivative of 9*j**4\/4 - j**3 - 3*j - 22. Give o*l(f) - 2*p(f).\nAnswer: 2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/26 + 14*i**3\/39 - i**2\/13 - 14*i\/13 + 209. Suppose r(o) = 0. Calculate o.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 + -228 - (-1 + (1 + -4 - 137))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 0)\/(3\/(-2)). Let a be ((-4)\/4)\/(g\/(-10)). Let k(d) = -3*d**3 - 2*d + 1. Let s be k(1). Put s, a, 4 in increasing order.\nAnswer: a, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 12:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 115*a + 1776. Calculate g(-16).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 5. Let z be (0 + -2)*-1*2. Let h be a(z). Let k be (1 + h)*15\/(-10). Let l(v) = v**3 - 4*v**2 + 4*v - 3. Give l(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 17*u**4 + 57*u**3 - 59*u**2 + 20*u.\nAnswer: -u*(u - 1)**3*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -455965, -1823886, -4103775, -7295638, -11399481, -16415310, -22343131, -29182950?\n\"Answer: -p**3 - 455978*p**2 + 20*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 12) + 6)*3\/(-12 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1 - (-267)\/270). Suppose -8*x + 3*x = -i. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3770 + 3773. Solve q = 12*s - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -325*m**7\/42 + 7*m**4\/12 + m**3 - 287*m. What is the third derivative of l(p) wrt p?\nAnswer: -19500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 10*a**2 - 9*a + 17. Calculate t(-12).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 - 9*j - 36. Let q(l) = 2*l**2 + 5*l + 17. Let u(n) = 6*f(n) + 13*q(n). Is u(-13) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13\/5)\/w)**(-31) assuming w is positive.\nAnswer: w**(558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3960691 to the nearest integer?\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 671*q - 706*q. Solve 2*v - 5*i = 5, -q*i + 2 = -12*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 7*s + 4*s**3 + (0*s**2 + 0*s**2 - 2*s**2)*(s - s + 2*s) + 0*s**3 - 3*s**3 + 5*s**3 to g*s**3 + k + b*s + j*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-106)\/1113 + 44\/21. Let b(w) = 7*w - 4. What is b(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*36*1. Calculate the highest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:32 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 918649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - ((-215 - -132) + (-16 - 4))) + 23\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, 20\/3, 1\/6, 2, 1\/3.\nAnswer: 1\/6, 1\/3, 2, 20\/3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - -257 - 30\/5.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 65100*m - 211900500 = 0.\nAnswer: 6510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17343*d**2*f**2 - 2*d**2*f + 3*d**2 + 797*d*f**2 + d*f + 27*d wrt d?\nAnswer: -34686*f**2 - 4*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 2, z: 4, p: 1}. What is prob of sequence xzp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 38*x = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(1\/8))\/j*j)\/((j\/((j**2*j)\/j))\/j) assuming j is positive.\nAnswer: j**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4153443 - -1?\nAnswer: 4153444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, w: 4, p: 10}. Give prob of sequence cpcp.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4738*i + 4753*i = 15. Solve 4*z + 6 = 2*v, 4*v + i = 5*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + 8.1. Which is the smallest value? (a) 1\/3 (b) -0.2 (c) s (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - (3 - 0))*1. Suppose -3*i + 20 = b. Solve -i*n = -2*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i)*(7827 + 4060 - 3549 + 1461 + 14024).\nAnswer: -47646*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d**4 - 44*d**4 + 12*d**2 + 3*d**3 - d**2 + 0*d**2 - 18 as o*d**2 + g + u*d**4 + r*d**3 + z*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n - 1. Suppose 0 = 326*r - 339*r + 26. What is m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511002 (base 6) to base 11\nAnswer: -28392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/3 - 2*h**2. Let z(r) = -5*r - 27*r + 27*r + 4*r. Determine z(n(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7*n - 6. Let i be a(6). Suppose 3*b - 14 - 16 = 0. Solve 0 = -5*o + 5*u + b, 2*o = -i*o + u - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 - 7*x**5\/60 + x**4\/4 + 7*x**3\/6 - 3*x**2. What is the units digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 77*z - 291*z + 0 - z - 152*z to i*z + q and give i.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) -0.7 (c) -1302.5 (d) 13\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*d - 1, 3*d + s - 3*s = 0. Let q be 2\/3*(-204)\/(-8). Let a = q - 12. Solve t - d*t + a*g = -9, 4*g = -8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-264)*(-213)\/142?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*-2 + sqrt(209) + sqrt(209))*-3 - sqrt(209))\/(1*sqrt(33)\/sqrt(3)) + -5*sqrt(209)\/(sqrt(33)\/sqrt(3)) + 3)*6.\nAnswer: -36*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1963 + -950. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -11. Calculate the remainder when 29 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 3, r - 2*s + 3 = 0. Let n be (-1)\/2 - r\/(-24). Put n, 1\/5, 3 in decreasing order.\nAnswer: 3, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.091874.\nAnswer: 4.091874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 4\/(-1) + -3 + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + u**5\/20 + 2*u**3\/3 - 4*u**2. Let j be d(3). Suppose 0 = 12*q - 17*q. Solve q*b = j*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*i - 2*i + 4*i)*(-1 + 5 - 2) + 56 - 23*i - 56)*(11*i - 53*i - 111*i) as j*i**2 + o*i + h and give j.\nAnswer: 2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 0*t)*(-553 - 1833 + 313)*(1 - 1 - 1 - 2*t).\nAnswer: -4146*t**2 - 2073*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093479 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.3 (c) 2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*f*p**2 - 264*f - 162*p**4 wrt p.\nAnswer: 28*f*p - 648*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a. Let j(x) = 4*x. Calculate j(q(i)).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**2*y*y**7\/y)**(-15) assuming y is positive.\nAnswer: y**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 21*x + 2. Let y(t) = 3444*t**2. Calculate a(y(z)).\nAnswer: 72324*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/19))\/((q\/(q*q\/(((q**(-5\/3)*q*q)\/q)\/q)))\/q)*q**(3\/4)*q**(-1\/19) assuming q is positive.\nAnswer: q**(1211\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10135240 (base 6) to base 12\nAnswer: -121520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425)*1 + sqrt(1425) - sqrt(57)) + 2*sqrt(6897))\/(5*(sqrt(33)\/(sqrt(55)\/sqrt(5)) + sqrt(3))).\nAnswer: 31*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*s + 61 = 3*s, -3*z = -3*s - 183. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24708514 (base 9) in base 5?\nAnswer: 11100030140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 19 = -r, -2*o + 64 = 4*r. Suppose -11*p - 5*t + 415 = -6*p, 2*p - 159 = 5*t. What is the remainder when p is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**7\/1470 + h**6\/168 - h**5\/70 - 2*h**2 + 10. Factor k(u).\nAnswer: -u**2*(u - 3)*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61644 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2508, 4890, 7146, 9276, 11280?\nAnswer: 13158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78521*u**3*x**2 - 1118*u**3*x + 5*u**2*x + x**3 wrt x.\nAnswer: 157042*u**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 3*g + 6. Let t be h(6). Suppose -s + t = -0*s. What is the highest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5200, 8294, 11388?\n\"Answer: 3094*w + 2106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1055 - 1054. Which is bigger: 1\/1502 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001010100110 - 1?\nAnswer: 101000001010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-8)*(-1)\/10. Let v = -68 + 72. Which is the nearest to -1? (a) 3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 440469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -403, -814, -1225, -1636, -2047, -2458?\n\"Answer: -411*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18 = 2*j. Let m be ((-20)\/(-6))\/(j\/9). Factor 8*x**4 - 17*x**3 + 38*x**2 + 8 - 2*x**5 - 7*x - 8*x**3 - 21*x + x**m.\nAnswer: -(x - 2)**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5894240 + 6287*w + 5894240 to q + p*w and give p.\nAnswer: 6287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 538424 and 2247?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rprx when four letters picked without replacement from {p: 1, r: 7, x: 4, k: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 3. Let f be j(-6). Suppose 0 = 4*b - 25 + 69. Let l = -8 - b. Calculate the highest common factor of l and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 491063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 - 792*a + 3221. What is o(4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297350?\nAnswer: 2, 5, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d - 827*d**3 + 711*d**3 + 130*d**3.\nAnswer: 14*d**3 + 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 - -4772633814.\nAnswer: 4772633815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {p: 1, f: 1, o: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2134 - -2137. Let d = -13.1 + 13.6. Sort d, 1\/86, i in increasing order.\nAnswer: 1\/86, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/(-14) - (-10)\/(-35). Let k = p + 13. Solve -3*d - 3*s - 1 - 5 = 0, -k = 3*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 24 = -7*j. Let m be 0\/(-3) - 190*2. Calculate the remainder when (-3)\/(-5)*m\/j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/10*(-4)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3, 30*z - 26*z - 2*w = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37960 and 513920.\nAnswer: 6680960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1803024.\nAnswer: 1\/901512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -85) + 7 + (43 - 48)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42188\/1223 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -63 + 10 + 10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/106977 and -23\/9174.\nAnswer: 327135666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652\/7 < -0.134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v - 10. Calculate the remainder when l(7) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(8\/48*-2*-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 849*v - 809*v - 200. Sort -504, -1, v in increasing order.\nAnswer: -504, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15084\/(-5866))\/((-5)\/(-105))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 4 + 1 - 5. Calculate t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 0*u - 8*u + u**2 - 5. Let b be s(9). Solve 3*a = -b*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u*u\/((u*u**7)\/u)*u*u)\/u)\/(u\/(u\/(u**(-23)\/u))*u))\/(u\/(u*u\/(u*u\/u**(-6)))*u**(-2)\/u))**3 assuming u is positive.\nAnswer: u**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from vjgww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015 - 14.\nAnswer: -13.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, a: 1, d: 1, z: 1, e: 3, g: 3}. Give prob of picking 1 z, 1 y, and 1 g.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442715 rounded to the nearest one thousand?\nAnswer: 2443000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(3\/12*10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 95. Let w be p(0). What is the greatest common factor of w and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 + -510. Suppose 0*k = f*k - 3354. Calculate the greatest common divisor of 172 and k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 17*u + 18. Calculate t(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -85.164 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542943 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 13*v + v + 2 + 3*v - 25*v.\nAnswer: -38*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839954 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 171\/(-18) + 4. Suppose 5*z + 5*k = 10, -3*k = -0*z - z + 2. Which is the closest to z? (a) -0.4 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -5 (b) -6 (c) -0.2 (d) -2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 + -179. Let d be (-15)\/g + (1 - -1). Suppose -y = 5*w - 4*w - 5, 5*w = 4*y - 20. Which is the nearest to -2? (a) y (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18 - 16)*(-6)\/(-28). Which is the closest to 0.3? (a) -6 (b) 3\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let p(f) be the third derivative of -1\/6*f**4 + 0 + 0*f**3 + 0*f - 5*f**2. Determine n(p(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*r**3 + 277*m*r - 17*m + 436*r**5 + 11*r**4 + 3*r + 1 wrt r.\nAnswer: -12*m*r + 8720*r**3 + 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.3605385 to 3 dps.\nAnswer: 55.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 51, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*l + 5*p + 61, -5*p = 2*l + 65. Suppose -6*j = -269 - 277. Let d be (-19)\/(-57)*(-2 - j). Is d less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128, 127, 126?\n\"Answer: -r + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 + 4*w**2)*(w**3 + 4*w**3 - 3*w**3) - 88*w**5 - 11 + 87*w**5 - 60.\nAnswer: 5*w**5 - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/((-57)\/((-856653)\/(-113)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 86*d**5\/15 - d**4\/24 + 5*d**3\/6 - 2*d**2. Suppose -15 = -3*b - 0. Let g be c(b). What is g rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.8 - 5.6. Let b = a - -2.78. What is the nearest to -1 in -0.2, 3, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169565 is divided by 2478.\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottooytytttttott. What is prob of sequence to?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 389, 4, 0.1, -2\/7 in increasing order.\nAnswer: -2\/7, 0.1, 1, 4, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:14 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36195295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:02 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((-7)\/(7\/6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10998273 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4163 + 16?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328\/36 - 3 - 5\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/120 + y**5\/15 - y**4\/24 - y**3\/3 + 5*y**2. Let h be a(-3). Solve 0*w = -5*w - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 + 13. Let l(u) = -2*u**2 + 3. Suppose -1174 + 1382 = -8*r. Determine r*l(t) + 6*a(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 - 1115 - (1 + -2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 + 4*n + 3. Let a be h(-5). List the prime factors of -3*(a\/(-3) - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -p + 16*n - 18*n, 5*n = 2*p - 60. What is the least common multiple of p and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 664879297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13461.913 times 2?\nAnswer: -26923.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1147260 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.4. Let z = -56.42 + 58.42. Sort 7, z, 6\/5, i.\nAnswer: i, 6\/5, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:50 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*d - 57, 2*d = 3*p + 4*d - 34. Suppose -m = -2*m + 238. Factor -3*o**2 - m*o + 238*o + p.\nAnswer: -3*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44395 - 24621. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**2 - 1\/330*n**5 + 0*n - 1\/33*n**3 + 0 - 1\/66*n**4. Let j(a) = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 16.7 (c) -0.67 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11950*0.4.\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3721 = 5*d - 3736 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341 + 1351 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51782978\/15939 + 74718\/23. Let y = b - 2\/231. Let i = 8852 - 8848. What is the closest to y in 0.2, i, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 4*l. Let b(d) be the second derivative of -d**5\/4 - 3*d**3\/2 - 8*d. Give -4*b(m) - 9*k(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 11cc0a78?\nAnswer: 11cc0a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and (3\/(-2))\/((-297)\/3).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46646583810 - 0.0698.\nAnswer: -46646583810.0698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.87 - 0.13. Let i = 4 - 3.9. Which is the closest to i? (a) -0.3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8 (b) -5\/18 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 6*(-3)\/3. Solve -5*s - p*f = -26, s = 2*f - 3 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(96\/(-60)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2263 + 2286. Calculate the remainder when 44 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = 0, g = -f + 2 - 1. Let j = -67 + 203\/3. Which is the second smallest value? (a) g (b) j (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 24 - (0 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173*a**3*g*k + a**3*k + 2*a**2*k + 2*a*g*k - 8*a + 2*g*k wrt a?\nAnswer: 1038*g*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 448182004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -m - 2*h, 3*m + 1 = -5*h - 9. Let c = 47 - 42. Suppose 36 = 2*a - m*u, c*a - 2*u - 2*u - 124 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*3 + (-80 - (54 + -75)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 1, w: 6, i: 3, l: 5, s: 2}. What is prob of sequence wsz?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5091665 + -26.\nAnswer: -5091691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - -6614989?\nAnswer: 6615016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-4 - (-4 - 2 - (8 + -8)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 12. What are the prime factors of (-7)\/4*b - 1\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (-1*sqrt(528)*-2)\/(sqrt(275) - (sqrt(275) + ((sqrt(275)*-2 + sqrt(275))*-4 - sqrt(275)))) + -5)**2.\nAnswer: 16*sqrt(3)\/3 + 1714\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h - 16*h - 328 = 0. Let z(f) be the second derivative of -f**4\/12 - 3*f**3 + 11*f**2\/2 + f. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(7\/3)*(r\/(r*r**(-1\/3)\/r))**(-29)*(r*r**(2\/5)*r*r**(6\/7)*r)\/(r**0)**19 assuming r is positive.\nAnswer: r**(-3613\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 5756264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:28 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 737, 734, 731, 728, 725?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2031 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/109500 and 47\/233536125?\nAnswer: 934144500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-16)\/(-12))*-9. Let v(o) = 2*o + 3. What is v(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 100 = 20*n. Find the second derivative of 9*k - 21*k**5 - n*k + 27*k**5 - 75*k**5 + 4 wrt k.\nAnswer: -1380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675.03333 + -675. Round s to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c - 1. Let b(w) = -66*w**3 + 55*w + 55. What is 2*b(z) + 110*p(z)?\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6*105\/(-5) + 3. Let d be (-1)\/(5\/(-2) - -2*1). Let l = 0.4 - 3.4. Which is the closest to d? (a) 2\/5 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*v**2 + 22*v + 2809 wrt v.\nAnswer: 24*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/2158 + 1323\/2158. Factor 2\/13*v**3 + 0*v + b - 6\/13*v**2.\nAnswer: 2*(v - 2)**2*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/54 in 3\/8, -11.3, 2\/9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 9624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-39)\/(-156))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 9 + 10\/3*k**3 + 3*k**5 + 0*k**2 - 2\/3*k**6 - 5*k**4 - k. Factor q(s).\nAnswer: -(s - 1)**4*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 129\/(-66)*-2*(229 + -231).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 198. Solve -3*l - 20 = 2*b, 3*b + 0*b - 3*l = q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-22 - -29) + (1 - (-7780)\/4)?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-3 - (-4)\/1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 15 (c) 1 (d) -0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**5\/60 + t**4\/24 - t**3\/6 + t**2. Let b be 1\/(-3) + (-21)\/(-9). Determine z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42204 divided by -10551\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*l + l - 21, 20 = -5*y. Let t = 8 + 9. Calculate the greatest common factor of l and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72508, -72509, -72510, -72511, -72512, -72513?\n\"Answer: -x - 72507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(1 - (-5 + 7)) + 291.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1880 divided by 16657\nAnswer: 1880\/16657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -793, -1174?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -509.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.9. Let i = 5.1 + p. Put i, -2, 2\/3 in decreasing order.\nAnswer: i, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -67, -99, -131?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-16 + 20) - (-11 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20523 - -3524?\nAnswer: 24350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1065 and 37876299?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -i + 12, u + 2*u + 60 = 2*i. Suppose -5*o + i = -4*j - 47, 2*o - 4*j - 26 = 0. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/20 - m**4 - 47*m**3\/6 - 8*m**2 + 8*m + 7. Does 42 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-46)*(-2)\/(-4)*-1. Solve m = -5*g - 20, x = 5*m - 2*m - 4*g + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -834, -1\/3, 291, 0.5, -3\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1890 and 431028.\nAnswer: 15085980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 96, 176, 290, 450, 668?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*c**2 - 1473*c**2 - 1499*c**2 - 54*c**2.\nAnswer: -2505*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2301 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 4*h + 180 = -4*p - 0*p, 0 = 4*h - 2*p + 162. Let j = h + 59. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -113?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*z + 5 = 0, 4*d - 39*z + 122 = 79*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 31283?\nAnswer: -5\/31283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189064 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 third root of 3372331 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3186*x*z**2 - x - 46706*z**2 + 4*z + 896209 wrt z?\nAnswer: -6372*x - 93412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4813*c**2 - 2*c**4 - 5*c + 2407*c**2 - 11*c**4 + 12*c + c**3 + 2408*c**2 to the form o*c**4 + f*c**3 + j*c + r + a*c**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -63*p**2 + 160*p + 87 = 0.\nAnswer: -29\/63, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1673 (base 13) to base 7.\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*u + 302*u - 7*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0955808 + 6.\nAnswer: 5.9044192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by -56\nAnswer: -195\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 29*o + 19. Determine b(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**3 + b**2 - 3*b + 1. Let x be j(1). Suppose g + 4*g - 30 = 0. Suppose 5*v + 18 = g*v. Calculate the highest common factor of x and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/14 + (-24775)\/(-86835)). Let j = m - -454021\/183. What is the common denominator of 64\/33 and j?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m)**(5\/6)*(m*m**(-1\/6))\/(m**(-1\/3)\/m) assuming m is positive.\nAnswer: m**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41576290 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:13 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1849 = 3047*z - 144*z + 1694 + 17573. Let g(u) = -u - 13. Let k(c) = -1. Let m(v) = 2*g(v) - 6*k(v). Calculate m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7086200 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/1155 + 107*d**6\/330 - 8329*d**5\/330 - 27820*d**4\/11 - 811200*d**3\/11 + d**2 - 2*d - 351. Find b, given that n(b) = 0.\nAnswer: -13, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43772104 and 4098.\nAnswer: 131316312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -489.39 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 - z**5\/30 - z**4\/12 - 5*z**3\/3 + 8*z**2. Let a be y(5). Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 3*w + 11. Let i(u) = -u - 2. Let x be i(-3). Let z(l) = -l - 2 - l**2 + 4 + x. Let c(d) = 6*j(d) - 22*z(d). Solve c(b) = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10622, -21244, -31866, -42488?\n\"Answer: -10622*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**7\/2520 - b**4\/4 + b. Let l(m) be the third derivative of w(m). Let q(h) = -h. Determine q(l(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 12)*(2*a - a - 4*a + 2).\nAnswer: -6*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/54970 and 77\/2574030?\nAnswer: 59202690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -19*i**5\/60 + 17*i**4\/24 + 10*i**3\/3 - i**2 + 13*i. Let q(m) be the second derivative of g(m). Differentiate q(l) wrt l.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2747244 is divided by 1540.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 40*q = 20. Solve -5*r = -4*o - q*r + 13, -1 = -o - 2*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 4*b**2 + 6*b + 4. Let t be z(-4). Suppose -4*x + 4*a = t, -3*a + 1 = 3*x + 46. Sort -1, x, -4 in ascending order.\nAnswer: x, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*b - 32, -89*b + 5*m = -91*b + 17. Solve -h = 3, -4*u + 7*h + b = 4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 11*h**2 + 406*h\/3 - 344.\nAnswer: -(h - 6)*(h - 4)*(h + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 708424*i\/9 - 4958674\/3.\nAnswer: -2*(i + 21)*(i + 354191)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(-336)*-434*1\/(-18)*12\/8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25 (b) 11\/2 (c) -0.05 (d) -1\/11 (e) -14 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i - 366 + 7*i + 366 + (-1 - 1 + 4)*(2*i + 0*i - i))*(2 + 3 - 3)*((-3*i + 2*i - i)*(3*i - 3*i - i) - i + 4*i**2 + i - 5*i**2 - 3*i + 3*i).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 9*m - 51 = -m - 43 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -172 - -7?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + u - 2. Let o be l(5). Factor -84*x**2 + 103*x - 16 - 2*x**o + 28*x**4 - 6*x**3 - 23*x.\nAnswer: 4*(x - 1)**2*(x + 2)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 693*z**2 - 164*z + 1551. Give u(-173).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -741. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**4\/4 + 467*b**3\/4 - 2303*b**2\/4 - 4607*b\/4 + 9555\/2 = 0?\nAnswer: -98, -3, 13\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.1, -0.5, 1.513?\nAnswer: 1.513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:25 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -k. Suppose 5*p - 2*j = -13 - 3, 3*j = -2*p + 5. Let i be (15\/10)\/(5\/p). Which is the biggest value? (a) i (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8 from -2882.\nAnswer: -2884.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -4116?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 133 = -4*w + 2*w, 80 = -4*s - 5*w. Let g be (-135)\/s - (-4)\/(-10). Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/4 + i**3\/2 - 78*i. Give k(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**9\/3024 + i**8\/560 - i**7\/280 + i**6\/360 - i**3\/2 - i. Let w(k) be the second derivative of u(k). Solve w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 14618138964\nAnswer: -14618138967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 46. Suppose 318 = n + 157 + 155. Solve -f*v + 28*v - n = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029246 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 18*o + 74 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 350 + -209. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36197)\/(-25855)*(6\/(-28))\/((-3)\/16). Solve 4\/5*r**2 + 4\/5*r - w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*g - 37, -216*t + 192*g - 393 = -217*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 - 8*g + 12. Let o be d(6). Suppose l - 3*l + 5*v = -85, 5*v - 25 = o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -6*z - 46. Solve -5*f + 4*f + 21 = -4*s, -4*f - 3*s + z = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.902 + 0.028. Round h to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -4, 1, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = -d, 20*l - 22*l = 5*d - 29. Solve 0 = -w + 2*i, -d*w - 4 = -4*i + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1063 + 19*r**2 + 1063 + r)*(2 - 1 + 1).\nAnswer: 38*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 - r + 1. Let f be (6 - 1)*(105\/(-25) + 3). Let z(j) = -j**3 - j**2 + j - 1. Give f*t(v) - 6*z(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(464\/(-4872)). Let m(o) = -o**3 + 6*o**2 + 6*o - 7. Determine m(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(2\/5))*i\/((i**(2\/9)\/i)\/i)*(i*(i\/(i**(-1\/7)\/i))\/i)\/i**6*(((i**0*i)\/i)\/(i**(-2\/5)*i))**(-21) assuming i is positive.\nAnswer: i**(751\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/420 and -93\/20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = c + 13, -3077913*n + 117 = -3077899*n - c for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z - 41. Suppose 154*o - 44 = 3*t + 149*o, 4*o = -5*t - 24. Calculate v(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u + 48. Let i be d(0). Suppose r + 2*r + i = 0. Let o = -7 - r. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20014996 is divided by 1539611?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((6 - 9)\/9)\/(1\/(-9)). Let u be (p - -1)*(5 + -4). What is the third biggest value in -4, -2\/5, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhph when four letters picked without replacement from {z: 1, m: 1, h: 2, i: 7, o: 4, p: 4}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362135005*y - 5*y**2 - 362135005*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2 + 3*v - 1 - 1. Let p(c) = -1. Let x(b) = -b + 2. Let l(d) = 5*p(d) + 6*x(d). Give -4*l(g) - 7*m(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -119, -184, -251, -320, -391?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 482740*r**4 + 1930928*r**3 = 0. Calculate r.\nAnswer: -241366, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114687*q + 123853*q - 98549*q.\nAnswer: 139991*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -52*v**3 - 9*v + 872. Let z(p) = -3*p**3 + p + 2. Let x(j) = y(j) - 2*z(j). Find the first derivative of x(r) wrt r.\nAnswer: -138*r**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 = -222*c - 8929 + 545 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*(x**2*x)\/x)\/(x**(6\/11)\/x*x**1)*((x\/(x\/x**(-1)))\/x)**(2\/41)*x*(x*x*x*x*x\/x**2)\/x*x*x*x*x**(1\/4) assuming x is positive.\nAnswer: x**(12821\/1804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 214*b**3 + 5*b**2 - 4. Let v(g) = 5*g**3 - g**2 + 1. Calculate p(h) + 5*v(h).\nAnswer: 239*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37821720.\nAnswer: 2, 3, 5, 315181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -297370, -297352, -297314, -297256, -297178, -297080?\n\"Answer: 10*u**2 - 12*u - 297368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = 2*o + 3*l, -2*o - l + 6 = 0. Solve 0 = o*w + 4*j + 8, 0 = -5*j - 2 - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-2)\/(-8)). Suppose 4*p - c*p - 8 = 0. Solve 0 = -5*a - 5*n - 15, -5*n + 26 = -4*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-2))\/(-120))\/(3597\/9592)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-6 + -16 + -3 + 2 + -10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5104068?\nAnswer: 2, 3, 23, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1580810 and 56031239.\nAnswer: 54450429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/6 - 2*a**3\/3 - 2*a**2\/3 - 2. Suppose z(s) = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 26 in decreasing order.\nAnswer: 26, 21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + 2*y + 4. Let k be h(4). Let u be (5 - 6)\/(2\/k). Suppose -f = f - u. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45246 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 0. Let a be (-2)\/7 - (-32)\/m. Let q(r) = 0*r**2 + r**2 - 2*r**a. Let y(l) = 2*l. What is y(q(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 811573560 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.6 or -8\/31?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 + 2234*s**3 - 1245453*s**2 - 2497612*s - 1249924 = 0.\nAnswer: -1, 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 3*i - 6320 = 0. Suppose i = 13*s - 2785. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39501*b**4 - 170527*b**2?\nAnswer: -948024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j + 13*j**3 + 1 - 4*j**3 + 4*j - 8*j**3 + j**2 + 0 as a*j**3 + n*j**2 + o*j + g + q*j**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 2, 0.2, -2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070033506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058087 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h - 48 = -56*h. Let k = -474 + 542. Calculate the remainder when k is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12231 + 133?\nAnswer: -12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and -2640.\nAnswer: -134640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1555 + -1439. Calculate the remainder when b is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 47*t\/2 + 714.\nAnswer: -(t - 68)*(t + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-595))\/(1\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (4 + 2 - 0) - (-9)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 + 3*i - 4. Let x be j(-5). Suppose 0*o - c = 3*o - x, -2*c + 3 = 3*o. Let t = 7 + -3. Is o >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/21 greater than 14245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 23. Find the second derivative of 7*r - 29*r - r - f*r**2 wrt r.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10544503 divided by 5981\nAnswer: -1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283302 - 141648 - 141654 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/13 - 34876390*g\/13 + 34876392\/13 = 0.\nAnswer: -17438196, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3 - 4*d**2 + 2*d**3 - 6*d**3 - 7*d**3 + 30*d**3 + 4*d - 18*d**3. Calculate z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -116*b**2 - 2287*b + 22. Is 5 a factor of y(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -2*i. Suppose -2*n + 7 = 5. Sort n, 5, i in ascending order.\nAnswer: n, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681826057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 57.59653mm?\nAnswer: 0.00005759653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -983952 - -983966.89414. Let u = 14.9 - b. What is u rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39 (b) -2\/19 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 6*b**2 + 6*b - 7. Let n(k) = k**3 + k - 1. Let m(i) = -5*n(i) + v(i). Determine m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -26, 2, 309, 1, 5 in ascending order.\nAnswer: -26, 1, 2, 5, 14, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6 + p**2 + 6. Let m(h) be the second derivative of -h**4\/6 + 2*h. Calculate n(m(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r, -6226 = -4*c + r - 3*r. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4, -2, 0.3, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(27) - (sqrt(27) - sqrt(54)\/sqrt(2)*-2))\/(sqrt(81)*-2))**2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 865396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 - 107 - (10 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*7*(594\/30 - 18)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -15747?\nAnswer: -15762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1377)*4*3.\nAnswer: -540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-248)\/7 + (-1)\/42*-18. Suppose -109 = -d - d - 5*m, 2*d - 4*m - 82 = 0. Let i = k + d. Calculate the greatest common divisor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 at most 189\/34121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 8*q + 7. Let p be g(6). Let x = 28 - 25.6. Let y = x - 2. Which is the second biggest value? (a) 0.3 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 3. Let u be (-48)\/22 + g\/(-33). Let z = 0 + u. Which is the smallest value? (a) 2 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*u**3 + 6*p**3*u**2 - 10*p**3*u + p*u**3 + 123*p*u**2 wrt p.\nAnswer: 6*p*u**3 + 36*p*u**2 - 60*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let m(k) = k + 2. Let s(j) = 87 + 6 + 97. Let i(a) = -95*m(a) + s(a). Give i(x(o)).\nAnswer: -95*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 827223, 827218, 827213, 827208, 827203, 827198?\nAnswer: 827193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4401 + 4407. Let w(l) = -l**3 + 6*l**2 - 4*l + 7. Let c be w(5). Calculate the highest common factor of x and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (-3*sqrt(108) + sqrt(108)))*3*-1)\/((6*sqrt(24)\/sqrt(3))\/(2*sqrt(18))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -574*a + 574*a - 144*a**5 + (a**4 - a**2 + a**2)*(a - 4*a + 0*a).\nAnswer: -147*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 338*p + 16042. Determine f(-47).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5*g - 5, -2606*g - q - 13 = -2610*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-120)\/14)\/((-3)\/28). Suppose r = w - 40. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-361*d - 16498 + 16498) to v*d + s and give v.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 32 + 28 = 0. Suppose -p + q = -0*p. Suppose -3*g + 2 = -3*c + p, 4*c - 18 = -2*g. Is -2 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947 - 945 - 1041 - 940 + 3873 + 1538*m.\nAnswer: 1538*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15997368.24ns?\nAnswer: 0.000000026450675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*q = 3 - 24, -5*m + q - 23 = 0. Sort 0, m, 1 in descending order.\nAnswer: 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -2*sqrt(300) + -4)*2 + (-2*sqrt(120)*2)\/(sqrt(80)\/sqrt(2)))**2*-1.\nAnswer: -1792 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6150431 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o**2 + o**3 - 33*o**3 - 54*o**2.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673 divided by -6.\nAnswer: 1673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -50. Let o be (-78)\/3*1*g. Suppose 6*c - 5*c = o. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)\/(v**(1\/5)\/v)*(v**1*v)\/(v\/(v*v**3)))\/(v*(v\/(v**(1\/3)\/v*v))\/v*v\/(v**(-2\/15)\/v)*v)**(20\/7) assuming v is positive.\nAnswer: v**(-389\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:21 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6313660*n**4 + 4099816*n + 2 wrt n?\nAnswer: 75763920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(-2 + 24\/9). Suppose x = -4*w - 4. Let d be 0 + w + (-13002 - -5). Round d to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 569606 = -3*k, -3*w + 203953 + 223258 = -k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1021220221?\nAnswer: 1021220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-4) + -1 - (-2 - 1). Suppose 534 - 50 = m*p. Calculate the remainder when p is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - 120. Suppose -3*a + 2*d - 3 = -w, -2*a + 3*d + 7 = 0. Let s(c) = 2*c + 4. Let g(q) = 2*q + 4. Let j(l) = 3*g(l) - 2*s(l). Give j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2294.921 + -3.821. What is o rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 572921952 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -17*h**6\/30 + 6*h**3 - 35*h. What is the second derivative of r(l) wrt l?\nAnswer: -204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*x**3 + 2*x**3 - 2*x**3 + (-3*x + 5*x - x)*(0 + 0 + x**2) - 2*x**3 + x**3 + 3*x**3 - 5*x**3 - 4*x**3 + x**3)*(-4*x + 2*x - 6*x).\nAnswer: 200*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 2*d - 2. Let o be (-2)\/(-6) - (-24)\/9. Let a(b) be the second derivative of -b**4\/4 + 5*b**3\/6 + 2*b**2 + 21*b - 3. What is o*a(v) + 7*r(v)?\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 5*m. Let d be r(3). What is the highest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n + 14 = -36*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 62*l - 147 = -3*l. Suppose 0 = -4*a + i - 35, 5*i = -2*a - 3*a - 75. Let z be ((-6)\/(-9))\/(a\/6). What is the closest to -3\/2 in l, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383420 a multiple of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 201, 204, 211, 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-309656)\/(-56) - 0) + 24\/(-42).\nAnswer: 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3*i - i)*(55 + 39 - 49)*(-2*i + 6*i - 2*i) in the form p*i + k + y*i**2 and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 6) to base 5.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-504)\/35)\/(-9))\/(2\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 408034 + 173?\nAnswer: 408217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 415 = -2*d, 0 = 2*l - 0*l + 6. What is the highest common divisor of d and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 6069295\nAnswer: -606929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/12)\/(((-459)\/72)\/(-17)))\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) 3\/4 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-42)*3*2)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 3*r - 1 + 3*r**2 - 1 to a + u*r**2 + s*r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40872 + -40854. Solve -2*m - 36*a = -39*a + 17, 0 = 3*m - 2*a + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9120)\/57 + 99 - -43?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))**(1\/36))**(-18) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 1. Suppose -s - h = -2*s, -7 = 5*s + 2*h. Let d(a) = 5*a**2 + 3. Determine s*d(m) - 3*v(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -1192, -1800, -2408?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = 173. Let v = 56 + s. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237763147 to the nearest integer?\nAnswer: 15420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/4 + 6373*j\/2.\nAnswer: j*(5*j + 12746)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/11)*n)\/(n**(-4)\/n))**(-25) assuming n is positive.\nAnswer: n**(-1750\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.01 + 0.01. Let w = -1063.12791 - -0.02791. Let t = w - -1063. Which is the smallest value? (a) f (b) 7 (c) 0.4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16361\/(-8))\/(9\/(-72)). Suppose -l = -4*x + 9723. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsssccsrssosrssccscr. Give prob of picking 2 s.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173818, 174035, 174252, 174469, 174686?\n\"Answer: 217*g + 173601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - 3*y)*(-6 + 7 - 15) - y - 5*y + y to the form l + q*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*x + 32, 6*i + 5*x + 10 = i. Suppose 3*d + 25 - 73 = 0. Let p = d + -21. Are i and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijb when three letters picked without replacement from titbtjdjljbj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*g**2 - 491*g**2 + 876*g**2.\nAnswer: -79*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(2\/5)*m)**0)**20*(m**(-3\/2)*m*m**(2\/5))\/(m**(-6)\/(m**(-1\/3)*m)) assuming m is positive.\nAnswer: m**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -169. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f = 7*d - 5*f - 448, -1930*d + f + 2 = -1925*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/19)*d)\/((d*d**(-10))\/d) assuming d is positive.\nAnswer: d**(231\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 202 = 11*l. Suppose -j = j. Solve -f + 6*f + l = j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005236 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7377*b - 13 = -7381*b + q, -q = -b + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*k + 2*p, 2*k + 5*p = -3*k + 65. What is the greatest common factor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/8*15\/(630\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -0.3, 0.15, -2, 25, 0.85?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*r - 0 + 1, n - 9 = -2*r. Let o be (18 + -8)\/(r\/1). What is the highest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**6 - 9*j**5\/5 + 33*j**4\/2 - 15*j**3 + 5298. Determine d so that b(d) = 0.\nAnswer: -3, 0, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 35*v = 14*v + 12*v - 2*n + 2, 0 = -10*v + 2*n + 86 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2. Let u(a) = 3 + 1 - 93005*a**2 + 93002*a**2 - 1. Give u(h(y)).\nAnswer: -75*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (1 + (-1 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-3*1 + 0). Let a = -104\/5 + g. Suppose 0 = -3*n - 2 + 5. Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/14 - 89\/14. Let g = -807\/154 - w. Calculate the common denominator of 113\/20 and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79972 or 79966?\nAnswer: 79972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 46118514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:04 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.543614 + -1.4991. Round c to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431315996 to the nearest integer?\nAnswer: 20768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/3 + 1835*p**2 - 2430201*p - 793537709\/3 = 0.\nAnswer: -101, 2803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-90) + 191912\/8820 + -23?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/7 - 33*v\/7 = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*j**3 - 40*j**2 - 6*j + 584096 wrt j.\nAnswer: 141*j**2 - 80*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42870 + -41774. Calculate the least common multiple of 6 and p.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(128 + 2). Let d be 6\/(-27) + t\/9. Suppose 2*m + 10 = d*m. Solve -m*g + 5 + 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/17)*f*f**7*((f*f**(1\/4))\/f)**(-6\/11) assuming f is positive.\nAnswer: f**(2985\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -216 + 7217899644.9\nAnswer: 7217899428.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 871841 and -0.057.\nAnswer: -49694.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -24. Let w be (-4)\/((8\/2)\/(-2)). Let j = w + p. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/125)\/(18\/270). Let u = 8.03 + -8. Let j = -0.53 + u. Put j, g, -1, 1\/4 in ascending order.\nAnswer: -1, j, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = -0*o. Let c be -2 + 3*o\/(-3). Let a(q) = -12*q**3 - q - 1. Does 7 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/2 + -6. Let o be (2942\/(-1471))\/((4\/(-12))\/((-2)\/(-4))). Which is the third biggest value? (a) -5\/6 (b) w (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/(-10) - -4)*-2. Sort w, 9, 4.\nAnswer: w, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.4. Let m = -804.593 - -805. Let w = m + -0.007. What is the second smallest value in b, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, 770?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703849837?\nAnswer: 3, 13, 41, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + 11012000?\nAnswer: 11020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*t = -874*t - 960 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - 3*v**2 + 12. Let l(m) = -7*m**3 - 5*m**2 + 24. Determine 5*c(j) - 3*l(j).\nAnswer: j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 89*k + 1079. Let r be a(-12). Let b be 1*(-1)\/1 + 1. Put 4, r, b, -5 in increasing order.\nAnswer: -5, b, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 162 = -102. Solve -l - x = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 8) to base 14\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358 - 362. Let s(j) = -11*j + 3. Determine s(g).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 572\/6909?\nAnswer: 572\/6909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thkk when four letters picked without replacement from {h: 3, t: 2, k: 13}.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 17. Give h(9).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1318 by 3.\nAnswer: 1318\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 546, 952, 1466, 2082, 2794, 3596, 4482?\n\"Answer: -z**3 + 60*z**2 + 233*z + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167288216 to the nearest integer?\nAnswer: 12934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 + -a956?\nAnswer: -aa2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-16))\/((0 - -5)*2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -13*f**2\/2 + 571. Let l(j) = -j - 70. Give l(z(k)).\nAnswer: 13*k - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 834163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Let j = s + -5. Let o = 0 - -1\/3. Which is the closest to o? (a) 0.1 (b) j (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5294 = 3*p - 5*w, -5*w + 7049 = 4*p - 2*w. Is p a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 944 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 3. Suppose -7*x + 53 = 207. Let g(p) = 3*p + 60. Let j be g(x). Calculate h(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40472400 * -0.5.\nAnswer: 20236200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235330981*d**3 + 1090104696*d wrt d.\nAnswer: 1411985886*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4032) - sqrt(28))\/(5*sqrt(64)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 0*y)*(-4 + 4 + y)*(-2 + 2 - 2*y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 52 = -64. Suppose 9*a - t - 671 = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4438 + -0.58856. Round o to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28878100 and 577562?\nAnswer: 28878100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(304) - sqrt(304))*4 - (sqrt(304) - -6*(sqrt(304) + 3)) - ((0 + sqrt(304) + sqrt(304) + -2)*6 + 3))**2*4.\nAnswer: 7776*sqrt(19) + 886788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/(-5))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48936.8 milligrams to tonnes.\nAnswer: 0.0000489368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 10613548?\nAnswer: -57\/10613548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/7)\/(1\/(-7)). Let c = 7 + -8. Let x be (26 - c)*4\/12. Calculate the highest common factor of p and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 1095.926?\nAnswer: -6575.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 16*o**4 + 22*o**5 + 57*o + 64*o**2 - 26*o**5 = 0 for o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + o = 82, 2*i + 3*o + 5818262 = 5818344 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 993.424 millennia?\nAnswer: 993424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:40 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z**3 - z**2 + 9*z + 418. Let y(p) = 9*p**3 + 6*p + 417. Calculate 2*u(k) - 3*y(k).\nAnswer: -k**3 - 2*k**2 - 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - ((9 - 44) + 16)) + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 1335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (592\/703)\/((-100)\/(-6650)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/263 + -52959\/1052. Is p > -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4028 + 2?\nAnswer: 402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120567535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13059 is divided by 218?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298140 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m**2 - 2*m + 24*m**2 - 2*m**3 - 49*m**2 + 2 to the form g*m**2 + b + k*m + z*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.63 to 0 dps.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -65.8. Let o = 6.4 - t. Let m = 2 + 2. Sort m, o, 1\/2.\nAnswer: o, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 29. Let r(t) = 31*t - 86. Give 7*n(w) - 2*r(w).\nAnswer: w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9098, -9097, -9094, -9083, -9058, -9013?\n\"Answer: v**3 - 5*v**2 + 9*v - 9103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-7 + 6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4932256817 + -589203.5160743183. Let s = -589172 - a. Let i = s + -32. What is i rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wopp when four letters picked without replacement from xappapwpxpxpao.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3187405.49 to the nearest 10000.\nAnswer: -3190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 155354120 + 4?\nAnswer: 155354124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (184\/23)\/4*(-60)\/(-8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-3 + sqrt(108) + sqrt(108) + sqrt(108) + 1 + 4 + -3*sqrt(108) + -3 + sqrt(108))**2.\nAnswer: -104 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3441977 minutes in seconds?\nAnswer: 20.651862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 15*k**2 - 26*k + 7. Let w be v(-13). Suppose w*o + 77 = 476. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (-31 - -34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6230261613 rounded to 3 decimal places?\nAnswer: 0.623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 32 = -4*n, -n = -5*h - 5*n + 4. Suppose -4*f + 6 = -2*f. Let r(z) = z + h + f - 7. Let i(x) = 2*x**2. What is r(i(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10898 or -98095\/9?\nAnswer: -98095\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24600496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 12 = -13*a. Let t(z) = 3*z - 34. Calculate t(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 11 - (5 + -5 + -5)) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -132211\/569 < -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220323154 + 2?\nAnswer: 220323200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.479061 hours to microseconds.\nAnswer: 19724619600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/3 + 2*s**2 - 12*s + 13. Let c be m(-6). What is the second derivative of -9*n + 9*n**4 + n - n**4 + c*n wrt n?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(25\/(-110)*7\/(-35))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8524 or -903579\/106?\nAnswer: -8524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, 4 in decreasing order.\nAnswer: 4, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 1216, 1824, 2432, 3040?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 829560 and 1023?\nAnswer: 9125160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/20383 and 5\/4026569.\nAnswer: 44292259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 35444964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2)*(y\/(y**(-4)*y*y))\/y)**(19\/4))**(-4\/9) assuming y is positive.\nAnswer: y**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:46 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -36060016876464?\nAnswer: 36060016876464.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/4*(296\/(-108) + 48\/648)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*j + 3, -5*m - 4*j = -3*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1563651 and -0.4?\nAnswer: 1563651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14280 is divided by 1187?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 11*b**2 + 3 + 15*b - 1.\nAnswer: 19*b**2 + 15*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/30 - 3549\/(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15581 + 15602. Let s(k) be the second derivative of -1\/4*k**4 + 0 - o*k + 0*k**2 + 0*k**3. Let l(v) = 3*v**2. What is s(l(p))?\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3937 and 3070987.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/8)\/(-126)*(-4)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6519813 divided by 2173271.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48141536 divided by -12035384?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7968030 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -42. Let j = -4 + -1. Let k = 0.2 + -0.4. Which is the nearest to 1\/4? (a) k (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*m + 22, -s - 3*s - 13 = 5*m. Suppose 0 = 24*y - 7230 + 7038. Solve -4 = -s*h + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*n = -1180*n + 957*n + 35465 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*(-3)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 5035.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1874*f - 1512 wrt f.\nAnswer: -1874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*g - 5*k - 25, 0 = -4*k + 12. Suppose 248 = 3*i - 2*r, 0 = 2*i + 3*r + g - 195. Is 43 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 18 - (-172 - -177)) + -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3439*p = -3473*p + 64056. Calculate the highest common factor of p and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20286, -20378, -20470, -20562, -20654, -20746?\n\"Answer: -92*i - 20194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6732.68 + -6863. Let x = -96 + 229. Let r = t + x. Round r to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 3948. What are the prime factors of f?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 5, c: 5, o: 1, n: 2, y: 2}. Give prob of picking 4 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -46. Suppose -s = v - 1. Suppose -k - f + 5 = 0, 2*k - 8 = -3*f + 3. Put k, 5, v in increasing order.\nAnswer: v, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14531 + 58125\/4. Let l = 38\/65 + 1\/65. What is the fourth smallest value in w, 6, -1, l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122572629 is divided by 312.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(6\/31) - (-3)\/(-6). Suppose 3 = x + 2*d, -3*x - 3*d + 0*d + s = 0. Let w(a) = 3*a**2 - 5*a - 11. Calculate the remainder when w(4) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9294058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -d + 19, 0*r - 4*r - d = -41. Solve -3*g + 6 = -a - r, 0 = -2*g - 5*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 31*v = c + 6, 0 = 4*c - v - 9. Solve j = -c*z - 11, -1 = z - j - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221124301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 5*m + m)*(-22*m - 8 + 8) - 3 + 3*m**2 + 3 + (-m + 4*m - 5*m)*(-2 + 2 - m) - 103*m + 103*m + 13*m**2 to x + c*m**2 + q*m and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865097 is divided by 712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgggx. Give prob of picking 1 g and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(1 - (-6)\/4). Let b(g) = -g**3 + 16*g**2 + 32*g + 56. Let z be b(18). Put 0, z, j in descending order.\nAnswer: j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*b**4\/5 + 2458*b**3\/5 + 135156*b**2\/5 - 8828416*b\/5 - 2248384 = 0. Calculate b.\nAnswer: -172, -5\/4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + 6*z**4)*((2 - 2 - z)*(3 + 0 - 1) - z + 0*z - z).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 10 = -3*j, j + 10 = 5*a - 4*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.3 - 8. Let k = 256 - 773\/3. Which is the biggest value? (a) 0.4 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5\/2, -9, -287?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 9203 = -21502. List the prime factors of p.\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348.5 - 348. What is the biggest value in -0.5, 0.2, -7\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.1906.\nAnswer: 0.3812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -2*s, 2*s = r - 1 + 4. Suppose 2*y = -4*m + 754, -3*y + 120 = r*m - 823. What is the tens digit of ((-2)\/(-4))\/((-7)\/14) + m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 - (-50 + 55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5 and 12297?\nAnswer: -67633.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255300190 divided by -1765.\nAnswer: -144646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17245, -52529, -111321, -193609, -299381?\n\"Answer: 2*w**3 - 11766*w**2 - 5481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -7*c**3\/6 + 3*c**2\/2 - 16*c. Let u be b(1). Find the common denominator of 3 + u\/((-1312)\/(-1100)) and -89\/18.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829 - 833 + 24*w**2 + 1662 + 7*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfn when three letters picked without replacement from rnrffffffffnffnrrf?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = -27315 + 21975 for m.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -247, -359, -471, -583?\n\"Answer: -112*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-16)*(-3)\/6*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26788701 or 26788696?\nAnswer: 26788701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -12. Let p(z) = -2*z**3 + 3*z**2 - z + 1. Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -174*j - 1. Let t(q) = -q**2. Determine y(t(i)).\nAnswer: 174*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -211*j - 1467. Determine x(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56647 by 1.\nAnswer: -56647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*p**2 + p**2 + 10 + 4*p**2 with respect to p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.8 + -13. Put -2\/9, 2\/11, k in decreasing order.\nAnswer: 2\/11, k, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 51 - 66 = 0. What is the lowest common multiple of 3 and (h - 1)*(-3)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Let u be 162\/54 - (3*1)\/(-1). Let b(t) = -u*t - 331*t**2 + 332*t**2 + 11 - 4. Give b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 2)*(-21)\/(-420)*-15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 55*d + 55. Let a be l(-1). Let t = 0 - 0.2. What is the closest to 1 in t, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + 9 + 8556\/(-642) - 6. What is the biggest value in 1, z, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157596 divided by -2284?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2 + 0 - 1 + 2 + 3 - 4 - 1 + (3 + 0 - 1)*(0 + 1 - 2) - 1 + 1 + 2 - 3 + 2 - 1 - 4 + 7 + 2)*(2 + 7*f - 2).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7503 (base 10) to base 7.\nAnswer: 30606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 3*a + 9 = 5*w, 2*w = -a - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g - 5. Let l be (-4 - 1) + g - 16899996. What is l rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8359030.\nAnswer: 2, 5, 769, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 1 - (7 - (26 + -11)). Let i = -28 + 24. Sort 8, t, i, 0.\nAnswer: i, 0, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(-4 + sqrt(153)) - (6*(sqrt(153) - 1*sqrt(153)) + sqrt(153)))**2.\nAnswer: -288*sqrt(17) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q*((q*q**(-1\/22)*q)\/q)\/q)\/q))**(-5\/17)\/(((q*((q\/(((q**(1\/48)\/q)\/q)\/q))\/q)\/q*q)\/q*q*q*q)\/(q**(-8)\/q)))**(-2\/57) assuming q is positive.\nAnswer: q**(134573\/255816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*n**2 + 542*n wrt n?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 896 = 0. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2 + 60\/(-16). Which is the nearest to q? (a) -2 (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 5:50 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 32*s + 8. Let q be p(-16). Solve 3*i - q + 35 = 4*d, -10 = 2*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/270 - (-8)\/(-90)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 9}. Give prob of sequence uuuu.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 - 4. Let g(r) be the second derivative of 2*r**3 + 35*r**2\/2 + 27*r - 2. Let j be g(-5). Let m(t) = -30*t**3 - 25. Give j*n(z) + 4*m(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/5 - 1319648*r\/5 - 217683855488\/5 = 0. Calculate r.\nAnswer: -329912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/77 + (-21)\/231?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12563*v - 64 = -12561*v, 3*h - 5*v - 60 = -12 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 974 = 2*u - 0*u, -20 = -4*u. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 8*q**4 - 3*q**3 + 26*q**2 - 16*q.\nAnswer: q*(q - 8)*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - ((-5)\/(-100)*4 + 76\/20). Let i = -2 + 4. What is the third biggest value in k, 3, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 10*j. Let r(u) = 2*u**2 - 10*u. Let i be (10\/8)\/(-12 + 846\/72). What is i*r(t) + 4*q(t)?\nAnswer: -2*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/3 + 53*v**4\/3 + 346*v**3\/3 - 16550*v**2\/3 - 116875*v\/3 + 1890625\/3 = 0.\nAnswer: -25, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 63. Suppose i*w + 476 - 128 = 0. Which is greater: -57 or w?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/304*2\/1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-15))\/((-917)\/13755)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 68 = 4*o + o, -5*t - 2*o - 52 = 0. Let l = t + 18. Solve l*f = f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (3 - 2))\/(-3). Is -1\/42 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/4)\/((1 + 0)\/(-2)). Let h(p) = p + 6. Let k be h(-5). Put 0, b, k in descending order.\nAnswer: b, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259944 is divided by 6176.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tat when three letters picked without replacement from {t: 18, a: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9*t**3 - 48*t**3 - 5 as j + q*t + f*t**3 + i*t**2 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -8*b + 9*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -106, -2 in decreasing order.\nAnswer: -1, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4727\nAnswer: -5\/4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14 = -2. Suppose j*c - 4644 = 2*c. Suppose -4*q = 2*p - p - c, q = -3*p + 575. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f**(-1\/10)*f))\/(((f\/f**(-2\/5)*f)\/f)\/f))**(-16\/11))**2 assuming f is positive.\nAnswer: f**(-112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167750511 is divided by 337?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 - 509 = 0. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**3*v + g**3 + 13674*g**2 - g + 9159*v + 7 wrt v.\nAnswer: 5*g**3 + 9159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 23*q**2 - 189*q + 233. Calculate h(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -164\/3 (b) 5 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 0.13.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (-18 - -22) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -25*g**4\/3 - 63*g**2 + 137*g. Differentiate q(w) with respect to w.\nAnswer: -200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:12 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/30 + v**3\/5 + 15*v - 4. Let a(m) be the first derivative of t(m). Find k, given that a(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 - 3*r**2 + 3. Suppose 136 = 53*s - 51*s. Let p(v) = 56*v**3 - 34*v**2 + 34. Calculate s*l(q) - 6*p(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + q**3 - 5*q**2\/4.\nAnswer: q**2*(q - 1)*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 49*m**2 - 14*m + 11. Let y(l) = -10*l**2 + 3*l - 2. Let i = -20 - -18. Let p(u) = i*o(u) - 11*y(u). What is the second derivative of p(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*(0 + -4 + sqrt(90)\/sqrt(2)) + -4)*-4 + -4))**2.\nAnswer: -16800*sqrt(5) + 37600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -14. Suppose -m = 43*u - 44*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(153))**2 + 1)*-3 + 5.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 542227008, 542227006, 542227004, 542227002, 542227000?\n\"Answer: -2*x + 542227010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*j + 6*j. Let s be 6*(1 + j\/8). Let i(k) = 85555*k**2 - k + 2. Let m be i(s). Round m to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:19 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 91, 3, 11, 24 in ascending order.\nAnswer: -1, 0, 2, 3, 11, 24, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 26 = -46. Which is smaller: h or -23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (-6 + 12)\/((-2)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 84 = -5*u. Solve 0 = -3*m + 2 - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n**2 - 1)*(6*n**2 + 9*n**2 - 5*n**2 + (-3 - n + 3)*(-2 + 2 - 2*n) - n**2 + 2*n - 2*n) - n**4 - 2 + 2.\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/2)\/((-1)\/142). Let c = m + 798. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52289, 68715, 85141, 101567?\n\"Answer: 16426*w + 35863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4*x - 5. Let h be c(5). Suppose -16 = -4*r - h*r. Suppose u - 6 = -2. Solve u*m = -r*d - 4, -5*m - 5 = -4*d + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6 - (-38)\/33. Let d = 664 - 6639\/10. Put d, n, -5, 0.5 in increasing order.\nAnswer: -5, n, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 4*b**2 - b - 4. Let j = 4 + -1. Let a be h(j). Factor n + 0*n - 3*n**2 + 2*n**a + 1 - 3*n + 2*n**3.\nAnswer: (n - 1)*(n + 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**2 - 2*m + 5. Let d(l) = 51*l**2 - l. Let r(y) = 47*y**2 - 3. Let t(j) = -2*d(j) + 2*r(j). What is 5*g(o) + 4*t(o)?\nAnswer: 3*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*k + 1 + (-38 + 13 + 20)*(-3*k - 2*k + 4*k) + 3*k - k - k + (-2*k - 3 + 3)*(4 + 2 - 5) - 3*k + 2*k + 0*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11*k + 320 = 0. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 3*w - 5*w)*(213*w - 881*w + 17 - 17) to n*w + s + k*w**2 and give k.\nAnswer: 2672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o**(1\/9)\/o)\/o)\/o)\/(o**0*o))\/((o*o*o**7)\/o**(-1)))**3 assuming o is positive.\nAnswer: o**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:33 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 2921 (b) -4 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - -13. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 42*l + 71. Suppose 0 = -3*q + 3, -3*g + 10 = q. Calculate the greatest common factor of l and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3)*-5 - sqrt(24)\/(sqrt(56)\/sqrt(7)))*-3)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, 0.017, 3\/8, 539, -79?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7963878*h**2 - 5033741?\nAnswer: -15927756*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - z = 9, n + 6 = 5*z - 6. Let h = n + 1. What is the common denominator of h\/((-48)\/231) + 1 and -34\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 - 1165886*b**4 - 5989*b**2 + 7*b - 2 wrt b?\nAnswer: 120*b**3 - 27981264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 11:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 7, -153, 1, -61 in descending order.\nAnswer: 7, 4, 1, 0, -61, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aujuvuujpvvpvyppjju. Give prob of picking 3 v and 1 y.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c. Let j(m) = 7*m + 3431. Calculate j(s(z)).\nAnswer: -21*z + 3431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b + 3*b**2 + 61*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 5*l = -959. Let i = l + 148. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008702 rounded to six dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/172787, -1, 2\/5 in descending order.\nAnswer: 2\/5, 7\/172787, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 35*h**3 - 515*h**2 - 1225*h - 750 = 0. What is h?\nAnswer: -5, -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251818027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -107. Solve 0 = -2*s + 5*z + f, 0*s - 14 = -3*s + 4*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -36, 5, -5, 8, 12 in increasing order.\nAnswer: -78, -36, -5, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-15)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013659 rounded to 7 decimal places?\nAnswer: -0.0001366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 37*q - 20. Let i(a) = a**2 - 9*a + 5. Let n(m) = -9*i(m) - 2*v(m). List the prime factors of n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37245 = 899*f + 488*f - 432*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126.3 from -5459174092.\nAnswer: -5459173965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ygygyoyghhyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 11*b**2 - 3 - 3*b - b - 5*b + 0*b**2. Let l be y(-2). Let a = 8 + -4. Put l, a, 5 in increasing order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -df9 (base 16) to base 14\nAnswer: -1437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/48 - (4 - 33\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 5. Let b(g) = g**2 - 5*g - 16. Let l(j) = 2*b(j) + 7*s(j). Let o be l(-3). Suppose 0 = o*t - 10*t + 887. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222100122 - 100?\nAnswer: 2222100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -1354061 - 12321089. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 144 = n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 4)*(4*x - x - 4*x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l + 3. Let n(k) = -7*k - 75. Let m be n(-10). Give h(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1724955, -3, -191 in descending order.\nAnswer: 1724955, -3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:25 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 73*x**2 + 4. Let j(g) = -3*g**2. Calculate o(j(h)).\nAnswer: 657*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6786*c. Let h(u) = 7*u**2. Calculate h(a(t)).\nAnswer: 322348572*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1123 or 10105\/9?\nAnswer: 10105\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwwp when four letters picked without replacement from pmmwemwplwppwmww?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1\/3*r**3 - 10*r + 0*r**2 - 10. What is the derivative of w(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -824 divided by -1006?\nAnswer: 412\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579 + -467. Calculate the greatest common divisor of n and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3 - 2\/3. Is 11 a factor of (-135)\/(-2) + z\/((-32)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -1 + sqrt(1331).\nAnswer: 5 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/(m**(2\/13)\/m)*(m**0)**(1\/37) assuming m is positive.\nAnswer: m**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13938217*m**4 + 9589336*m.\nAnswer: -167258604*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*a - 93*a + 431*a.\nAnswer: 99*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*l**5 + 13928*l**4 - 72812*l**3 + 96048*l**2 - 13104*l = 0. Calculate l.\nAnswer: -273, 0, 2\/13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = -3*m. Let g(r) = r**2 - 4*r - 4. Let d be g(m). Let v = 3 + d. Solve -3*t - z = -4*t + v, 5*t - 23 = 2*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2703, -5560, -8549, -11670, -14923?\n\"Answer: -66*u**2 - 2659*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 207520, 207518, 207516?\n\"Answer: -2*c + 207522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278927336?\nAnswer: 2, 29, 31, 38783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 14. Let o be m(-12). Let h(z) = 3*z - 4. Let b be h(3). Let g(i) = -i**3 - 7*i**2 - 8*i - 9. Let w be g(-6). Sort b, o, w in ascending order.\nAnswer: o, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {a: 1, y: 2, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755.221cm in kilometers?\nAnswer: 0.01755221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.41 - 1.41. Let s = -53 + i. Let h = 14 - s. What is the second smallest value in h, -0.3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52058.51994 + 52059. Let g = b + -0.48. Round g to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 135, 137, 137, 135, 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n - 6. Let j be (-1)\/((-2 - -4)\/2). Let a be (2\/n)\/(j\/(-6)). Solve -a*w - 4*f - 8 = w, 0 = -2*w + 5*f - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 100, -5, 7, -10 in descending order.\nAnswer: 100, 7, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11 - 1) + (41 + -53 - -23) + -120.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 12\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*h = -3*h + 3, 4*b = -5*h + 9. Let g = 9 - b. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35)\/1 - 0)*-4. Suppose 0 = 3*i + 2*i - h. What is the remainder when 121\/1 - (-979)\/(-89) is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c**2 - 7*c + 62. Let h(f) = 5*f**2 + 3*f - 31. Let a(d) = -7*h(d) - 3*l(d). Let r(x) be the first derivative of x**3\/3 + 99. Determine a(r(n)).\nAnswer: -2*n**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four sevenths of a week in days?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -5, 1\/3, 154, -4\/5?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 895*d**3 + 38685*d**2 + 122395*d + 82810.\nAnswer: 5*(d - 91)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/3 + (-2)\/6. Let j be (1*-2)\/(-3*8\/144). Let y be 21\/u*j\/21. Let i(b) = 2*b**3 + 3*b**2 + 2*b + 2. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 141138 (base 9) in base 8?\nAnswer: 250172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -16.451?\nAnswer: 16.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 6. Let i be -4 - (a - (-16)\/4). Let q be (i + 0)\/(1\/(-12200)). Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 1320 - 1220. Solve -5*a + 2*u = -6, -2 = c*a + u + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31186731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2 - 2)*(-2*v + v - 7 - 16).\nAnswer: 4*v**2 + 92*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10087, -11683, -14349, -18091, -22915?\n\"Answer: -j**3 - 529*j**2 - 2*j - 9555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -0.08, -23.8, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000212 - -1111002210212?\nAnswer: 1111010211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5025.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -734.63 times -4\nAnswer: 2938.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**3 - 11*k**2 + 11*k + 11. Let d = 2 + 9. Let q = -1 + 4. Let w(i) = -6*i**2 + 4*i**2 + 0*i**q + 7 + 2*i + 2*i**3 - 5. Calculate d*w(a) - 2*b(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 57935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*x - 46 - 58 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5455482 is divided by 233?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 9*h - 12. Let v be z(-11). Let o be 18\/15*v\/4. Let w be o + -4 - -4*1. Solve w*l - l = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 76 = 22. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 19*n - 2. Let b(d) = -2*d**2 + 2. Calculate u(b(s)).\nAnswer: -38*s**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6*-386*3. Let i be 4\/(-8) + o\/(-2). Suppose -p - i = -4*p. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3986 = 247*z - 984*z + 4858 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1752160688 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32 - -11)\/(-2 - 1). Let u(m) be the first derivative of m**2 - 3*m - 1. What are the prime factors of u(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 + -2c5f?\nAnswer: -2c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90584 - 27039 = 1582*b + 506*b + 38977 for b.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -2.3. Which is the nearest to g? (a) -1 (b) -3\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/42)\/(1*(-3)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37752397651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326448593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4120, 4109, 4084, 4039, 3968, 3865, 3724?\nAnswer: 3539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 968328.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2 - 19*z - 19. Let s(d) = 31*d**2 + 74*d + 72. Let k(m) = 15*r(m) + 4*s(m). Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 9. Determine c(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 5*o - 9. Let h be y(-5). Let n(m) = -m**2 - 8*m + 11. Let f be n(h). Solve f*j + 4 = 0, 2*j + 1 = -2*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 23 = -6*k. Suppose 2*w + 51 = 4*o + 5*w, -o = -k*w + 11. What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, 0.005, -44?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67259*k - 2*k**2 + 67259*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4043866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - k**3 - 3*k**3)*(-2 + 2 + 2*k) + 58*k**2 - 10*k**2 - 37*k**2 + 11*k**4 to x*k**4 + c + l*k + a*k**3 + s*k**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8199326 divided by -134\nAnswer: 61189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = -5. Let l be ((-34)\/(-40) + z)*40\/(-45). Which is the fourth biggest value? (a) 3 (b) -1 (c) 0.4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5 - 31*j**4 - 32*j**3 = 0?\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2505 + 2512. Let n = -31.4 - -31. What is the closest to -1 in -2\/7, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:35 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.42 - 32.72. Let z = p - -29. Which is the second smallest value? (a) 4 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + 38 + -48.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:12 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/24 - 12*l**2. Let o(y) be the first derivative of -100*y**2 + 1030. Give j(o(x)).\nAnswer: 200*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -688794, -688801, -688810, -688821, -688834?\n\"Answer: -p**2 - 4*p - 688789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose -3*q + 24 = -5*u, -4*u + 5 - 2 = g*q. Suppose 53 = q*s - 4*p, -s + 15 = -6*p + 2*p. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/(-3 - 10\/(-3)). Determine y, given that -45*y**2 - 159 + 260*y - 216 + 3*y**c - 35*y = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(5 - 2 - 4) + 0 - 2 + 3)*(5*p**3 - 18*p**3 - 2*p + 7*p**3).\nAnswer: -12*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20647 - 20647.0000014627. Round b to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 4*l, -4*l - 22 = -5*g - 5*l. Which is the nearest to -1\/2? (a) -1 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -36*h**2 - 35*h**2 - 24*h**2 + 93*h**2. Let m(w) = -161*w + 5. What is r(m(y))?\nAnswer: -51842*y**2 + 3220*y - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 808853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 858156073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 0*s)*(0 + 2 - 1)*(-7*s - 9 + 3*s + 2*s).\nAnswer: 2*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5667, 22456, 50369, 89406?\n\"Answer: 5562*q**2 + 103*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48872 * 4.\nAnswer: 195488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 94. Suppose -2*k + 43 = l, 0 = -x*l + 3*k - 0*k + 72. What is the remainder when 106 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 7\/6, -0.041 in increasing order.\nAnswer: -0.041, 7\/6, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(5*3\/5))\/(-9*(-6)\/(-2916))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-2)\/(40\/(-15))). Suppose 0*m + 20 = h*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4 + 2*v - 3 + 9*v - v**2 - 2*v. Let w be f(8). What is the closest to w in 0.2, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.1. Let p = -0.1 + -0.4. Let y = p - -0.4. Which is bigger: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1375914\/5 greater than or equal to -275184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c - 5f8a7?\nAnswer: -5f83b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 41\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 - -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104078273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2651 and 239313.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4830 + -2858. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -3*t = 3*n + 4212, 2*n + 3*t = -1249 - 1555. Let u be v\/((-1)\/15*24\/n). What is u rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 6*p - 6*p**2 - 8*p + 5*p**2)*(55*p - 892 + 892).\nAnswer: -55*p**3 - 770*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/4, 0.4, 0 in descending order.\nAnswer: 1, 0.4, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:57 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26298 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1100))\/(sqrt(4) - (sqrt(16)*5)\/sqrt(4)).\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 40858.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35239 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 24*b + 7. Let m be y(3). Factor m*g**3 - 76*g**3 + 64*g + 50*g + 0*g**3 - 24 + 105*g**2.\nAnswer: -3*(g - 4)*(g + 1)*(11*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)\/r)\/(r\/(r*r*r\/(r\/(r\/(r\/r**2)))*r))*(r**8)**48 assuming r is positive.\nAnswer: r**388","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let w = -0.1648 + 0.0752. Let j = w - d. What is j rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129148*j - 16 = 129164*j + 80 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:54 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/(-4 + (-306)\/(-76)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 50 = t, t + 50 = 6161*b - 6156*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 776*i - 37 = 778*i, -r + 3*i + 54 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189650967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99) - (sqrt(99) - 3*(sqrt(99) - sqrt(99)*1) - sqrt(99)))\/(sqrt(9) + sqrt(36)\/sqrt(4)*4) + 4.\nAnswer: sqrt(11)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 3, 2 in decreasing order.\nAnswer: 4, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7))\/u*u**(-2\/49))**(-1\/59) assuming u is positive.\nAnswer: u**(-12\/2891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 10*j**2 + 4*j + 5. Let h be z(-10). Let g = 24 + h. Let u = g - -15. Solve -t + 15 = u*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -817 + 1256?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/41? (a) 1 (b) 4 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f. Suppose 3*k + 5 - 14 = f. Solve -4*o = c - 3, c + 4 = k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902d0 (base 14) to base 2.\nAnswer: 1010100100011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 3*n**2 - 11 + (5*n - 3*n - 3*n)*(2 - 2 + 2*n) - 10 - 2*n**2 + 10 + (-2*n - 3 + 3)*(-1 + 1 - n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:57 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7535680 rounded to the nearest ten thousand?\nAnswer: 7540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/3 - 2*o**4\/3 + 134*o**3\/3 + 386*o**2\/3 + 84*o = 0. Calculate o.\nAnswer: -7, -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-4 + sqrt(72))*1 - (4 + sqrt(72) + -3)) + 1)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.2. Let v = c + 0.4. What is the second biggest value in -2\/9, -0.4, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j - 2. What is w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1022201012?\nAnswer: 1022201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 12, 77, 198, 393?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yytc when four letters picked without replacement from {t: 2, c: 4, r: 1, y: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.054488m?\nAnswer: 0.009054488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/3 and -8\/213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 30 = 4*g, 3 = -g - 2. Let q be 40\/(-385) + m\/11. Which is the biggest value? (a) 2\/7 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27062680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4192 is divided by 374.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 230\/1955 + -3 + (-309)\/(-119)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -94, -252, -506, -874, -1374, -2024?\n\"Answer: -3*u**3 - 21*u**2 + 4*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + r**4 + 4*r**3 - r**3 - 7 + 7 in the form t + w*r**4 + b*r**3 + l*r + g*r**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579, 1190, 1801?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -160*q - 1018. Is 5 a factor of m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 158090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -o + 15, -3*t - 9 = -0*o - 3*o. Let g be 1 + (-2 - -3)*t. Let m be (20\/(-15))\/((-22)\/g). Which is the nearest to 2? (a) -0.5 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51\/31 + 2\/93. Let i be ((-2)\/6)\/(2\/(-12)). Factor x**i + 2\/3 - w*x.\nAnswer: (x - 1)*(3*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from 3619.\nAnswer: 3619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3139434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + 226 + -98 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.675 + 0.095. Let o = -0.27 + s. Let a = 3 - 6. What is the nearest to -0.1 in a, -5\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-23 - (3 + -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (((-8780)\/(-400) - 22) + (-3718)\/40 - 4).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 6 - 1 - -3. Let z(f) = 4*f - 4*f - 4*f + k*f. Let d(b) be the second derivative of -4*b**3\/3 - b. What is d(z(a))?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6. Suppose 2*t - 52 - 16 = n. Let p = -19 + t. Solve -p = -2*s - 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -421 in -2\/3, -252, -0.3, 4, 0.2?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007012 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -995, -2007, -3017, -4025?\n\"Answer: y**2 - 1015*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/13 - -17\/65. Let m = -91 - -90.96. Sort z, 5, m, 2\/3 in descending order.\nAnswer: 5, 2\/3, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/(0 - -1). Let c be (36\/(-48))\/(1\/(-4)). Suppose y = g + b - 3, g - c*b = -4*g + 31. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -10, 13 in descending order.\nAnswer: 47, 13, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(27) - (sqrt(3) + -1 + (sqrt(3) - 1*sqrt(3))))*4.\nAnswer: 12 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708042?\nAnswer: 2, 3, 199, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 21*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**4 + l**3 + l**2. Let j(v) = -14*v**4 - 10*v**3 - 6*v**2 - v - 2. Let q(a) = -22*d(a) - 2*j(a). Determine c so that q(c) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqdniiidhi. Give prob of picking 2 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*1 - (-19 + 15). Let v = z + 5. Is 14 a factor of 74 + v + 0 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -260. Let r = -57 - x. Calculate the smallest common multiple of 55 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80 - (-1)\/(-2)*(-7 + 9)*-1. Suppose 144 = 2*r - 4*r. Let i = r + j. What is the highest common factor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -17, -6 = 2*h - 2*o. Suppose 2 = -2*a, -3*x - a + h = -18. Calculate the remainder when 26 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 26*l + 56. Let c be i(-2). Suppose 29 = 4*k + 9. Solve -w = -k*s - 16, s = -3*w - 4*s - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 1 - z**3 + 7*z - 6*z**2 + 0*z**2. Suppose 0 = 2*w + 10, 9 = -2*s - w - 6. What is p(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxhxqqxxgqqer. What is prob of picking 1 q and 1 e?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.3 (b) 0.04 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048276735.\nAnswer: 5, 11, 137, 139121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 1 + 12*b + 7 as s + q*b and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 113760 = 18000. Let d be ((-36)\/(-10))\/((-18)\/n). Suppose d = -26*o + 7*o. Round o to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1240 and 31.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 + 18*c + 11*c - 40*c + 15 + c**3. Let m be f(9). Calculate the remainder when 54 is divided by 2*(m + (-125)\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = -2*f + f, -2*m = 0. Solve -4*y = -y - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w - 5. Let d(s) = 18*s**2 - 199*s + 15. Let t be d(11). Calculate l(t).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1400, -1403, -1402, -1391, -1364, -1315, -1238?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 1, x: 2, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 0, 0 = 3*p - 2*i - 2*i - 13. Suppose 4*n + r = 53, p*n - 11 = 5*r - 0*r. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12509097648 minus 0.155?\nAnswer: 12509097647.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k = -53*k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 3174080.\nAnswer: -19044480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115420559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274947 + 274947 + 41*b**2 + 27*b**2.\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*y = 18 + 24, 86 = 3*l + 4*y. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3548.9995683 + -3549. What is b rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -540.70664 + 27.65734. Let h = b - -513. What is h rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8460010 divided by -1103.\nAnswer: 7670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 103620*h - 103625*h = -5, 5*b - 70 = 8*h for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:20 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l**5 - l**4 - 5697*l**3 - 4*l**2 + 854*l + 23 wrt l.\nAnswer: 480*l**2 - 24*l - 34182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32130120 divided by 4\nAnswer: 8032530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051595 divided by -5?\nAnswer: -610319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 283662, 5, -5.\nAnswer: -5, -2, 5, 283662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 346552, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -23. Let v = w - -33. Suppose -2*x = l - 8, 4*l - l = x + v. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 3*i**5 + 0*i + (-i**4 + i**4 + i**4)*(-2 + 2 - 2*i) + 4*i**5 - 38*i**5 - 16*i**5.\nAnswer: -49*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31cc4 (base 14) to base 6.\nAnswer: 2325540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 2 + (43 - 105))*-21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.18798g to kilograms.\nAnswer: 0.00018798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 + 182 = -12*f. Calculate the highest common factor of 324 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:45 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90879, 181549, 272219, 362889, 453559?\n\"Answer: 90670*y + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iclccccccccnncdiclc. Give prob of sequence ldi.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*l - 2003, n - 4*n + 5*l + 2002 = 0. List the prime factors of n.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d + 226. Determine o(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(76))\/sqrt(4))**2 + (sqrt(475) + 2)**2)*-3 - -2*(-3*(sqrt(1216) - 5*(sqrt(1216) + 0 - sqrt(1216))))**2.\nAnswer: -60*sqrt(19) + 20394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -8343.7163.\nAnswer: -8343.5163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuug when four letters picked without replacement from {g: 7, u: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4009*h + 366011 = 334*h + 2755*h + 89189 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.2 - -32.2. Let o be -3 + 1\/3 - -2. What is the closest to o in n, -2\/5, 1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.467 - 64963963.\nAnswer: -64963963.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21351181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*d**3*f**3 + 18280*d**3 - 5*d**2*f**4 wrt f.\nAnswer: 261*d**3*f**2 - 20*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3987 - -11966. Suppose -2*u + c = 2*x + 3*x, 4*x + 15888 = 4*u. Let j = u - 2796. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q + 3*q + q**2 - q. Suppose -5*x - 2*h = 32, 28 = -4*x - 4*h - 0*h. Let m be n(x). Is 0 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144.764 - 145. Let m = 0.064 - v. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*t**3 - 12*t - 4120*t**3 + 12*t.\nAnswer: -4683*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/6 + 36446*n**2\/3 + 72890*n\/3 = 0. Calculate n.\nAnswer: -72890, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73304 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002650798 rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.63 - 14223603991.\nAnswer: -14223603945.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5000) + sqrt(5000))*-2)\/(-3*1*sqrt(160) + sqrt(160)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-84))\/((-2)\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 75.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.572604055 rounded to 5 dps?\nAnswer: -0.5726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z**2. Suppose 13*n = 9*n + 8. Let b(f) = f + 6*f + f + n*f - 7*f. What is b(w(s))?\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.44422 years in centuries?\nAnswer: 0.3844422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67483 is divided by 419?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001102461642 to six dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1059 + -10733. Let x = -2143 - m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -30. Solve -2*i - 10 = -x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873645.\nAnswer: 5, 374729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2550*u**2 + 65. Let z(h) = -116*h**2 + 3. Let o(j) = 6*i(j) - 130*z(j). Let a(l) = 3*l. What is a(o(c))?\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*10\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(187) + -3*(1*sqrt(187) + sqrt(187)))*-3)\/((sqrt(132) + (sqrt(132) + sqrt(132)*2*-6 - sqrt(132)))\/(sqrt(24)\/sqrt(50))).\nAnswer: 6*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = -13395 + 44055. Suppose 7*i - 12*i = -v. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37227 + 35824. Which is smaller: j or -1400?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1921 - 1919. Solve g - 12 = -2*q, 8 + 4 = 5*g - b*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/487 or 1?\nAnswer: 2\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.1. Let n = r - -0.1. Let b(k) = k + 1. Let y be b(-3). Is n less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 998633, 998627, 998619, 998609, 998597, 998583, 998567?\n\"Answer: -x**2 - 3*x + 998637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*r - 16, 10 = -o - 5*r - 0. Suppose -o*k - 37 + 47 = 0. Solve -4*d - k = -2*f, 5*d + 2*f = 5*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -866 - -877. Which is smaller: 10 or p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 56, -1, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24233 + -11598. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 1. Let i(o) = -7. Let r(d) = d + 13. Let b(q) = 5*i(q) + 2*r(q). List the prime factors of b(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4 + 756*m**3 + 71478*m**2 + 402084*m = 0.\nAnswer: -219, -153, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 8 = 0, -16*n = -21*n - 6*s + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/37 in -0.01, -4, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29b + -1?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:37 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 40*x**3\/3 + 26*x**2 + 179*x. What is the units digit of g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m**2 - 1 - 6*m + 7\/3*m**3. Let k(g) = g**2 - 1. Suppose j + 7 - 1 = 0. Give j*k(v) + f(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13027*u + 14614*u - 490*u.\nAnswer: 27151*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from {f: 8, v: 5, y: 7}.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-48)*1 - 1\/(-4). Which is the third biggest value? (a) 0.3 (b) -1 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532011113.\nAnswer: 20107, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11221011121011 (base 3) to base 11\nAnswer: -1530381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 4*t - 43 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 45761 - 46194 = 238741. What are the prime factors of a?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 4482006*a**3 + 36*a**2 - 5*a**4 + 4482004*a**3 + 45*a**2 to the form t*a + u*a**2 + v*a**3 + s + n*a**4 and give u.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183049077?\nAnswer: 3, 2141, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 957, -1, -159, -0.18?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n + 4. Let f be o(7). Solve k + f + 1 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13134 (base 5) in base 3?\nAnswer: -1102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20774065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 76*z + 13059. Determine o(-172).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24 and 95\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 583607160 divided by -2701885?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156 - 776\/5. Factor 0 - 2\/5*l**2 + k*l.\nAnswer: -2*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -3 + 5)*(3 + -5). Let t(s) = -25*s + 58*s**z + 25*s - 113*s**2. Let a(q) = -4*q**2. Determine t(a(m)).\nAnswer: -880*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(-3\/10)*s*s**(-1\/2)*s**(-13)\/s**24 assuming s is positive.\nAnswer: s**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hdd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2402055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**4*o + 574*a**3 + 23*a**2*o - 497*a*o wrt a?\nAnswer: 264*a*o + 3444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -1465, -2354, -3263, -4198, -5165, -6170?\nAnswer: -7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:00 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375255 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 2, z: 1, y: 4}. What is prob of sequence zr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 17 + 19 + (-3 - 2) + -4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -17) + 5 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + (4 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -140*p - 527. What is the smallest common multiple of n(-4) and 2232?\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 65*k - 14. Let y(n) = -258*n + 59. Let w(s) = -9*d(s) - 2*y(s). What is the first derivative of w(r) wrt r?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*o + 4, -2*o = 1830*m - 1827*m - 7. What is the closest to 12\/7 in 2\/9, m, 2\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1344)\/(-196)*7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/24 and 95\/93516?\nAnswer: 187032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 392, 815, 1254, 1709, 2180, 2667, 3170?\n\"Answer: 8*v**2 + 399*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -522*b**3 + 20*b**2 - 9*b - 192. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*f - 3*r, 2*f - 7*f - 3*r - 7 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/21 and -79\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 509080 and 4576?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43266.49858 - 43271. Let l = 4.5 + z. What is l rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58799482*1\nAnswer: -58799482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2802*v*z**3 - 4557*v*z + z wrt z.\nAnswer: 16812*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-13)*t**0)**(-48) assuming t is positive.\nAnswer: t**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 5. Let h(q) = -6*q - 16. Give -2*h(g) + 7*l(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 12*v + 12. Let g be w(5). What is the second derivative of 0*b**2 + 10*b + 12*b**2 + 14*b**g - 5*b**2 wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 42. Let p be v(19). Suppose 0 = -p*s + 3 + 37. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e4 (base 15) to base 9.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -50. Let l = -23.4 - z. Let o = 0.9 - -0.1. What is the third smallest value in -5, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyry when four letters picked without replacement from rrmpryy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 3*o + 2. Let d be x(-3). Suppose c = -c + d. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62474 (base 8) in base 15?\nAnswer: 7a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(160\/(-50))*(-2)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308838 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -0.1, 6, 1\/8.\nAnswer: -0.1, 1\/8, 0.5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 22*y**2 - 57*y + 256. Is a(-23) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.066 - -0.434. Sort 3\/5, 1\/4, -0.2, n.\nAnswer: -0.2, 1\/4, n, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 6*j**3 + 2*j - 12 - 7\/3*j**4 - 4*j**2. Find o, given that x(o) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*r = 7*r + 1328. Let o(d) be the first derivative of 8\/3*d**3 + 0*d - r - 2*d**2. Find the second derivative of o(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 213*f**2 - 1075*f - 16041. Give d(-102).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.87643 plus -129911?\nAnswer: -129902.12357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24015.\nAnswer: 3, 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732580655\/8019 - (2\/(-108))\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 182 = 3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -32, -80, -148, -236, -344, -472?\n\"Answer: -10*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -7*y + 12. Let h = 10 + y. Solve 0 = h*d + 13 - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*h - 19*h - 50*h)*(h - 4*h + 4*h) - 2*h**2 + h**2 + 2*h**2 + 644*h**2 - 352*h**2 - 320*h**2 to n*h**2 + j + r*h and give n.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42949?\nAnswer: 29, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 204.0455. What is r rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:29 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275766796 to the nearest integer?\nAnswer: 16606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -25. Which is the nearest to h? (a) 0.4 (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49124080 and 8?\nAnswer: 49124080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, x: 5}. Give prob of picking 2 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 191, 62, -63, -184, -301, -414, -523?\n\"Answer: 2*l**2 - 135*l + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Let o = i + -3. Suppose 5*m = 13 + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12673, -25341, -38009, -50677?\nAnswer: -63345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*s**2 + 0 - 178*s**2 + 91*s**2 + 0.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22748 and 20449?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -52*p**3\/3 - 56*p**2 - 16*p + 72. Factor s(q).\nAnswer: -4*(q + 2)*(13*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 43 = -9*t + j, 2*t = -4*j + 68. Calculate the highest common factor of t and 19416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10924 divided by 5462\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-1*-1*(-703)\/703.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*g**4\/2 + 14687*g**3 - 4379200*g**2 + 38062321*g + 3059001\/2 = 0. Calculate g.\nAnswer: -1\/25, 9, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42930 divided by -81?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 149630107 - 152992\nAnswer: 149477115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 - 2*a. Let w(s) = 141*s**3 - 7846*s**2 - 3726*s - 440. Let z(c) = -3*l(c) - w(c). Determine y, given that z(y) = 0.\nAnswer: -1\/4, -2\/9, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o + 17*o - 5*o)*(0*o - o + 2*o) + 60 - 5*o**2 - 60.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 8, 2*t = 4*b. Suppose -g = 2 - t. Suppose -3*i + 41 = -f + 2*f, 3*i - 37 = -5*f. Solve -g*p + 5*n + 6 - 23 = 0, 5*p = 3*n - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495057 and 24276?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10467702 and 0.04.\nAnswer: -418708.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 2*h**2 + 2*h**2 + (-2*h + 0 + 0)*(h - h - h) + h**2 - 4*h**2 + 5*h**2)*(0 + h + 1 + 0*h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33550 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3231 divided by 1077.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, k: 10, i: 3, t: 1, h: 1}. Give prob of sequence kih.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15341292 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o - 10 = 0. Let j = o + -3. Is (-57)\/j + 2\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4083152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 4. Let n be -4 + 0\/3 + 10. Let w(v) = v**2 - 5*v - 1. Let r be w(n). Let y(b) = 2*b + 5. What is r*y(m) - 6*o(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.92785 years to millennia.\nAnswer: 0.03192785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*l + 1. Suppose s = l*s - 7195. Suppose 28*t + s = 29*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64912.\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 561 + -545. Suppose -4*v = 2*o - 86, -4*v + 124 = -4*o + 8. What is the smallest common multiple of s and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 - 3*w - 8. Let r be y(-6). Let j(g) = -g**2 - 6 - 4 + r. Let a(t) = -21*t**2. Give a(j(m)).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 2)*(12 - 5 + 11) - 2*p + 8*p + 0*p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 3*t = -759, 4*t - 1265 = -5*w. Let k be w\/33 + (-4)\/6. Let j = -25 + 28. Solve -2*x = -k - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfqfgffpnp. Give prob of picking 1 p and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.299854 + 152.3. Round k to 6 decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1\/(-3) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*78\/(-715)*5\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4.03. Let w = o + 3. Let z = 2.97 - w. What is the third smallest value in 0.2, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 97, 2\/17, -3\/2812, 2?\nAnswer: -3\/2812","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/19810 and 53\/1330?\nAnswer: 376390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11767773 is divided by 888.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**2 - 10*i**2 + 3*i**2)*(2 + 2 - 3)*(2 - 4 + 3).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -28*k**9\/9 + 237*k**5\/10 - 1227*k**2. What is the third derivative of d(p) wrt p?\nAnswer: -188160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 187136 = -188312 for p.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12452 + -12449. Solve s = -4*q - 16, -29 = 5*s + 6*q - f*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -600412 - -312412. What is p rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.036 and 0.3?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okog when four letters picked without replacement from {o: 2, k: 1, c: 1, j: 3, x: 1, g: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a + 74670 = -30*a. What are the prime factors of a?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63876, -65026, -66942, -69624?\n\"Answer: -383*s**2 - s - 63492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 12509 - 3659 = 102328. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 289 - 287. Let o be 12\/10*y + (-21)\/7. Let p = 0.36 - -0.04. Put 5, -2\/3, p, o in descending order.\nAnswer: 5, p, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-12)\/(-168) - (-34)\/14. Let u(l) be the first derivative of -6 + 2*l**b - 1\/3*l**3 - 4*l. Let u(j) = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 813614399 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 19*y = -22*y + 31, 5*k - 59 = 9*y for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 - 9 = 2*r, 4*r - 4 = -2*x. Let c(u) = -2*u**2 + u**2 + 4*u**x. Let o(m) be the third derivative of -m**4\/24 + 2*m**2. What is c(o(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410155 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-20)*j*(j\/j**(-1\/16))\/j*((((j**(-7)*j)\/j)\/j)\/j)\/(j*((j**(-1\/2)*j)\/j)\/j))**(1\/5) assuming j is positive.\nAnswer: j**(-407\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = c + 48 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) 0.15 (c) 0 (d) 3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose t*u + 9 - 2 = -3*p, 2*p = -8. Let m be (6\/(-18))\/((-2)\/(-3)). Which is the closest to 0.2? (a) u (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 74*j - 2281 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 5391*o + 28 + 5407*o + 30.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635*v = -392*v + 1701. Let q(d) = 8*d**2 + 56*d + 6. Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7641 + -0.3641. What is the nearest to 0.2 in 2\/23, i, 97.7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-8)\/((a\/(a**(-18)\/a))\/a))**(4\/13))**(-22\/3))**26 assuming a is positive.\nAnswer: a**1584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 50, -11 in increasing order.\nAnswer: -11, -5, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/3, -1\/13, 0.2 in ascending order.\nAnswer: -5\/3, -1\/13, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-60)\/(-16) - (-3)\/(300\/45965). Which is smaller: 460 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 869328 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 324?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuypx. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/((-294)\/56))\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/4 - 5*a**3\/3 - 4*a**2 - 4*a + 237. Factor f(z).\nAnswer: -(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 3. Let g(m) = -m**2 + 28*m - 196. Let b be g(12). Calculate t(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13939450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2. Let x(d) = d + 26. Calculate x(m(z)).\nAnswer: -6*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30203*g*k**3 + 618*g - k**4 - 7 wrt k?\nAnswer: -90609*g*k**2 - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 2258*j**2 + j\/3 - 2258.\nAnswer: -(j - 6774)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 118598*q**2 + 15*q + 118599*q**2 + 1)*(-1 - 1 + 1).\nAnswer: -q**2 - 15*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(102) + sqrt(102))\/sqrt(6)*5 + 3 + -2 + (sqrt(17) - (sqrt(17) - -5*sqrt(17)))**2.\nAnswer: 20*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.84. Let k = 0.26 - h. What is the closest to -0.1 in -0.2, k, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*w + 11, -5*w + 5 = -d + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from bxkiuaxb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let i be (-1)\/(b\/(-9) + 0). Let z be (-5)\/(-105)*(1 + i). What is the second smallest value in -1\/3, -3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = 91 - 116 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -79*i**2 + 2. Let k(l) = 15647*l**2. Determine p(k(a)).\nAnswer: -19341460111*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -216 + 223 + (-5 - (14 - 26)) + 73 + 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 28*q**2 + 162*q + 87. Calculate k(19).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171, 195, 219?\n\"Answer: 24*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 426*j**3 - 45369*j**2.\nAnswer: -j**2*(j + 213)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -987 + 105. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -410*g**2. Let k(p) = -p + 23*p - 6*p + p - 12*p. Determine d(k(x)).\nAnswer: -10250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -4*j**5 - 105*j**4\/8 + 95*j**3\/2 + 115*j**2\/2 - 60*j - 410. Let q(s) = 0. What is s?\nAnswer: -4, -1, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, 5, 4 in decreasing order.\nAnswer: 5, 4, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/2 - 4*j**3\/3 + 5*j**2\/2 - 2*j - 1875. Let s(z) = -2*z**3 + 5*z**2 - 6*z + 3. Give -5*s(r) - 6*w(r).\nAnswer: -2*r**3 - r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 16. Let q = 6 + c. Let r = q + 3. Put -4, 0.1, r in descending order.\nAnswer: 0.1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860362682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41131737 + 90228.\nAnswer: 41221965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 - v**2 + 18*v + 2. Let o be k(9). Suppose -o = -5*z - 685. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/5 - 6)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15515, 15495, 15475, 15455, 15435, 15415?\n\"Answer: -20*f + 15535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -13, 2, -0.3 in increasing order.\nAnswer: -13, -0.3, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -83978.024 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3843.9 - 3844. What is the closest to j in 1, 1\/3, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g + 18. Give a(-8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1.2 (c) -273 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 613*y**3 + 2 + 588*y**3 to f*y + j + c*y**3 + d*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdnt when four letters picked without replacement from npntdpptntnnt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + 6*p**2 + 3*p - 6. Let v(b) = -b + 1. Let m(r) = 6*v(r) + w(r). Let j(q) = -6*q**3 + 7*q**2 - 3*q. What is 6*j(g) - 7*m(g)?\nAnswer: -g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6567125 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15491 is divided by 369.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-21)*-4*15\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427073 plus 4?\nAnswer: 2427077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12973195 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*u + 32 = 181*u - 3*a, 4*u = -5*a - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:10 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -233?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*h + 24 = 3*p, 5*h = 3*p - 34. Suppose 5*a - 23 = -4*u, -p*a - 4*u + 15 = -u. Solve -3*b + 2*v - v = 0, -a*b - 2*v = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 378 and -0.47.\nAnswer: -177.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 10225*r**4 - 565985*r**3 - 1183145*r**2 + 565990*r + 1172920 = 0 for r.\nAnswer: -2, -1, 1, 59, 1988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493411 is divided by 993.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 0.702.\nAnswer: 12.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5670, 5671, 5672, 5673, 5674, 5675?\nAnswer: 5676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*l - 13, -4*l + 4 - 24 = 0. Calculate the remainder when j\/(2\/60) + 1 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwbbwm. What is prob of sequence bbw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 740 = -13*t. Suppose 27*j - 32*j + t = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 - 18*f + 42. Let k be (-14)\/(-3 + 0 + 1). What is the least common multiple of p(k) and 18?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2052, -5, 2 in ascending order.\nAnswer: -2052, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 16 - 62)*(2*d + 2 - 2).\nAnswer: -142*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 28\/5)\/(1\/(-5)). Suppose -l = -j - 3. Solve -d + j = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 + 39*l**2 + 151*l + 1427. Calculate q(-10).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5721527 and 931.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56952 is divided by 4084.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(1053) + 1*(2 + sqrt(1053)) + -4)**2 + -3.\nAnswer: 144*sqrt(13) + 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1569 + 2207. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {h: 1, e: 1, b: 1, r: 1, f: 1, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -585*u + 588*u - 2*x + 4, -4*u - 2*x = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125761739.\nAnswer: 53, 44771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 44. What is the smallest common multiple of 2700\/105*u\/(-9) and 88?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) 0.2 (b) -29\/14 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.188, 0.109 in increasing order.\nAnswer: -0.188, 0.109, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -99140233500 rounded to the nearest 1000000?\nAnswer: -99140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093595149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 110*g + 245. What is the remainder when 526 is divided by l(-26)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -9. Let z be 2*7\/(-8) - k. Let s = 14 - 12.4. Which is the third smallest value? (a) z (b) 1\/3 (c) -1\/8 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.7084949 microseconds?\nAnswer: 0.00000000005449646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475 <= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-1)\/(-4)*18*(-76)\/(-2907))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1370796647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 6, l: 3, x: 1, h: 1}. What is prob of sequence lb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5038*r + 70427. What is f(-14)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 515 + -215. Let p = q + -300.00179. What is p rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-48) + 1416\/531?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 4, z: 10, n: 2}. What is prob of picking 2 e and 2 h?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10173 + 11613. Calculate the smallest common multiple of 60 and b.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 * 157199\nAnswer: -24837442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.1721 millennia to months.\nAnswer: 962065.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*l - 15*l + 72 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -20. Let w = -5 - n. What is the remainder when 15 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139059 rounded to three dps?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15278623*y**5 - 3*y**2 - 3755033*y + 2 wrt y.\nAnswer: 916717380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/3 + 4*f**3 + 43*f**2\/3 + 10*f.\nAnswer: -f*(f - 15)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -493838, -1975343, -4444518, -7901363, -12345878?\n\"Answer: -493835*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*24\/(-80)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2733.5 or -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5452, -7717, -9982, -12247?\n\"Answer: -2265*p - 3187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.803 - 0.103. Let c = 18 - y. What is the second biggest value in -4\/5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200452 and 2100791.\nAnswer: 8403164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 266*q**2. Let l(g) = 19*g**2. Calculate d(l(o)).\nAnswer: 96026*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 4 - -4) + 2862\/2. Let h = s - 532. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**3 + 16*w**2 + 34*w + 17. Let q(c) = -19*c**3 - 47*c**2 - 96*c - 50. Let z(i) = 11*o(i) + 4*q(i). Calculate z(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose 2*q + s - 72 = 0, -2*q - 46 = -3*q - o*s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 980427 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 23*n**2 - 33*n + 249. Let j be q(22). Solve 28*z + 140 = -j*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a + 46 + 12*a - 25*a)*(18*a**4 + 21*a**4 - 3*a**4 + (1 + 2*a - 1)*(-4*a**3 + 2*a**3 + 0*a**3)).\nAnswer: 64*a**5 + 1472*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*h**3*q**2 - 28*h**3 - 2*h**2*q**2 - 2*h**2 + 2836*h - q**2 wrt h?\nAnswer: -174*q**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -2)*1\/26. Let x = -6.9 - -1.9. Sort k, -12, x in increasing order.\nAnswer: -12, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/(-78))\/(-1 + 41621\/41620). Round l to the nearest 100.\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsa when three letters picked without replacement from sbruira.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 6:59 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2667*c + 661362. Give n(248).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1222, -4626, -10318, -18298, -28566?\n\"Answer: -1144*c**2 + 28*c - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579 - 578.8905. Let w = 267.7095 - n. Round w to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 + k + 3. Let t be r(9). Let n = 30 - t. Let v = n - 10. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*f*p**2 - 3*f*p*y**2 - 1363*f*p - 15*f*y**2 + 2148*p**3 + 45*p**2*y**2 + 18 wrt p?\nAnswer: -38*f + 12888*p + 90*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5336771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -72. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 9334.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/609401 or -2\/31?\nAnswer: -2\/609401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + v**2 + 0*v**2)*(199*v**2 + 2 - 319*v**2 + 155*v**2).\nAnswer: -70*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*w**4 + 50942*w**3 + 33936148*w**2 wrt w?\nAnswer: -552*w + 305652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let m(q) = q**2 - 6*q - 1. Let y = -19 + 3. Let c be y\/(-2) + (-4)\/2. Let g(f) = c*a(f) - m(f). Solve g(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*s - 23846083 = -95*s. Let l = s - 834157. What is l rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/54*-6)\/((-6)\/(-540)*-12) and 2\/953.\nAnswer: 2859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132\/5 < -14.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.6. Let v be 41\/13 - (-8)\/(-52). Suppose -v*u + 4 = -2*u. Which is the nearest to w? (a) -0.4 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -487, -1093, -1951, -3067, -4447, -6097?\nAnswer: -8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5854814063?\nAnswer: 7, 41, 20400049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6, 3*l + s + 25338 = 5*l. List the prime factors of l.\nAnswer: 2, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - 60\/40. Suppose z = c, d = 4*d + 4*z - 6. Suppose 2*i = -2*o + i + 16, 3*o - 31 = 2*i. Solve 0 = -w - d*g + o, 0 = -3*g + 3 + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose j + c - m*c = 10, -4*c = 2*j + 12. Suppose j*h - 2*a - 14 = 0, 3*h + 5*a - a + 14 = 0. Solve u = -h + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/25 + -13\/50. Let f = 0.27 + 0.13. What is the closest to k in -0.3, f, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 215*u + 31115. Determine c(-143).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**4 - 1\/14*n**7 - 1\/2*n**3 - n + 0*n**5 + 0*n**6 + 0 + 0*n**2. Find the second derivative of z(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**4\/3 - 745*f**3 - 2805*f**2 + 5455*f\/3 + 3876 = 0. Calculate f.\nAnswer: -4, -1, 9\/7, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616476 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/7 - 88*j\/7 = 0. What is j?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 441*u + 5. Let t(b) = -b**2 - 220*b + 3. Determine 3*q(n) - 5*t(n).\nAnswer: 2*n**2 - 223*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38220 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/414 and 43\/98394.\nAnswer: 295182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:47 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81984 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 41 - 6 - 1 + 2*q**2 - 3*q**2 - 10*q.\nAnswer: 2*(q - 8)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 39*f - 12. Let t be w(-9). Suppose 0 = -43*n + 42*n - 509. Let q = t - n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 4*r - 2. Let w(g) = 23*g**3 - 23*g - 11. Let n(o) = -34*j(o) + 6*w(o). Is n(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.0531\nAnswer: 0.00531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18816 + 2198 = 2*v, -4*v - 2*g + 42022 = 0. What are the prime factors of v?\nAnswer: 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -4 + ((sqrt(252) + -1 + 0 - sqrt(252)) + sqrt(252) - -6*(0 + sqrt(252)) - (sqrt(252) + 0 + -5 + sqrt(252) + 1 + sqrt(252) + -1))**2).\nAnswer: 384*sqrt(7) + 8094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nytztkh. Give prob of sequence ykn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 10 = -5*g + 3*d - 9, 5*g - 5*d + 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + r - 3. Let m be b(6). Let q = -3 + m. Solve -s = -5*p - 15, -3*p - s + q*s = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -43697.\nAnswer: 1\/43697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 1. Let u(z) = -4*z + 1. Let l(c) = 5*n(c) - 4*u(c). Let d(x) = 6*x + 5. Calculate 2*d(v) - 10*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -195829, -197484, -199149, -200830, -202533, -204264, -206029?\n\"Answer: -k**3 + k**2 - 1651*k - 194178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdklldnr. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/108 or 1?\nAnswer: -35\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(-3\/35))**37 assuming x is positive.\nAnswer: x**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30 - -1*36\/(-270).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.176 and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 + 2*q - 2. Let p be z(-4). Suppose -p*t = -t + 30. Let s be t - (-3)\/(-1)*-1. Is s at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*j + 0*j + 20*j)*(-2*j**3 + 2*j**3 + 2*j**3)*(50 - 31 - 27) to a + n*j + r*j**4 + y*j**2 + s*j**3 and give r.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/30, 4, 21, 2?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(20)\/sqrt(4) + sqrt(5))**2*-5 + -2*sqrt(15)\/sqrt(3) - (1 + (sqrt(405) + 0 - sqrt(405)))**2*1).\nAnswer: -101 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -23. Let x = -11 + h. Let 0*w**5 - 4*w**5 - 4*w**2 - 5*w**4 - 12*w**4 + 5*w**4 - 12*w**x = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5553768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1461630360 + -1.\nAnswer: 1461630359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001020679 rounded to 5 dps?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11812, -23672, -35560, -47470, -59396, -71332?\n\"Answer: q**3 - 20*q**2 - 11807*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111101 (base 2) in base 3?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -20. Let a = -37 - -39. Suppose f + 1 = a*z, u*z + 2*z + 5*f = 31. What is the least common multiple of 7 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884959626 divided by 23811?\nAnswer: 37166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1850915.2 to the nearest 1000.\nAnswer: 1851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -26. Let s = -1 + 4. Suppose -s*w = -4*y - 1 - 0, 0 = -5*y - 5*w + 25. Calculate the greatest common divisor of y and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/2, -55 in increasing order.\nAnswer: -55, -3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003659627 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-54)*(-55)\/(1320\/54)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -37*k**2 + 1237*k + 3. Let b(t) = -196*t**2 + 6188*t + 16. Let r(u) = 3*b(u) - 16*j(u). Factor r(z).\nAnswer: 4*z*(z - 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 14, l: 5}. What is prob of sequence ld?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 41638038*d.\nAnswer: -d*(d + 124914114)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 172. Suppose t*u = -10*u + 760. Let a = -33 + 49. Calculate the smallest common multiple of a and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -j - 34*j - 54, 5654*w = -j + 5649*w - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-10)))\/m**4)**(-4\/9)\/((m**(-1))**(-36)*m**(-2\/3)\/(((m*m*m\/m**(-2\/7)*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1690\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8092 and 3808.\nAnswer: 64736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 134823.38529 rounded to the nearest integer?\nAnswer: 134823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124208722 >= 124208722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -5)*(-3)\/5. What is the smallest value in k, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 6503235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 7. Suppose -a - 5*k + 6 = 23, 65 = 5*a - 5*k. What is the units digit of m(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -1\/21*m**7 + 5\/6*m**3 + 0*m**4 + 0*m**5 + 0 - 2*m + 0*m**6 + 0*m**2. Find the second derivative of n(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16524 + 41322 - 10246 + c.\nAnswer: c + 47600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 - 5*x - 8. Determine f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 3. Let q be w(4). Let a be 0 - (1 - q) - -4. Let o = a - -10. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1100) + 2)*-6.\nAnswer: -60*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 132, 279, 412, 525, 612, 667?\n\"Answer: -a**3 - a**2 + 157*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let g be y(-1). Let q be -1*(g\/6)\/(-1). Let w(s) = s**2 + 4*s + 4. Let m be w(-3). Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l - 77. Give f(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1.07 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-3)*(-12)\/(-8). Let h = v - -5. Solve 2*a = -3*o - 17, -o = 3*a - h*a + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5. Let q(r) = 14. Let l(b) = 8*j(b) + 3*q(b). Let u(z) = z**2 + 5. Let v(w) = w**2 + 2. Let n be v(0). What is n*u(t) - 5*l(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 1, j: 1}. What is prob of sequence iiij?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2)\/(114\/(3\/1)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.4 (b) 4 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 25*n**2 - 2*n. Let z = 110 - 108. Let r(f) = 21 + z*f**2 - 75 + 23 + 31. Give i(r(g)).\nAnswer: 100*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 15*n**2 - 18*n - 23. Let x be o(-16). Suppose -90 = 3*k - x*k. Solve -k = 6*t - t - j, 3*j - 23 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**2 - 12*k - 17. Calculate the remainder when (7\/2*-2)\/(-1) is divided by t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/4 - 220071*i**3\/2 - 20693301*i**2\/4.\nAnswer: 3*i**2*(i - 146761)*(i + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1503 - 84 = -x, -3*x + 4765 = 4*i. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -22. Let l(o) = -7*o**2 + 7*o + 7. Let t(g) be the third derivative of 7*g**5\/60 - g**4\/4 - g**3 - 1411*g**2. Determine j*t(d) + 6*l(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdkdsdvvvvssvvk. What is prob of sequence kkds?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-192)*-144*-3\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1575\/(-1121400)*(-288)\/(-9)?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from qipqipqizqqqzcqiqi.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-814)\/4*20\/(-10). Suppose 0 = l - 30 - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*x - 234*x - 230*x + 1034*x - 236*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 14?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m = -2*r - 8, -4*r - 13 = -3*m. Let t = 7 - m. Suppose -4*b = 4*c - 240 - 260, 0 = -t*c + 3*b + 514. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.5 (c) 58 (d) -1\/3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-175)\/(-20) - (4 - -2 - 12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04024 in 0.4, 0.15, 1.1, 0.2, -4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 3*p + 7*p**2. Let y be (-3)\/(-3 - 12\/(-8)). Let n(b) = b**2 + y - 2. Give c(n(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 96*j - 7809. Calculate c(49).\nAnswer: -3105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 27. Let n = 53 + -36. Let v = n + z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:51 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115064419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7*(-11)\/22).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 - 14*i**3 + 56*i**2 - 40*i = 0. Calculate i.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 436 in -2\/21, 2, -3, -3\/4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*o**4 + 13*o**4 + 11*o**4 + o**4 + 0 + 0 + (-o**2 + o**2 + 2*o**2)*(-2*o**2 - 2 + 2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908399 is divided by 112219.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15074a3724 - 5?\nAnswer: -15074a3729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139922 = -5684*t - 3985*t - 102801 - 887993 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2809 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*y**3 + 3*c**2*y**2 - c**2*y + 1912*c*y**5 - 76*y**2 wrt y?\nAnswer: -12*c**2 + 114720*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 27*d**3 + 7*d**2 + 9*d - 7. Let w(a) = 18*a**3 + 5*a**2 + 6*a - 5. Let p(r) = 5*m(r) - 7*w(r). Find the second derivative of p(b) wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)\/m*(m*m**(-4\/9))\/m)\/(m\/(m\/((m**(-21)\/m*m)\/m))*m*(m\/((m**(-2\/15)\/m*m)\/m))\/m))**(-17) assuming m is positive.\nAnswer: m**(-2618\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**3 - 6 - 4*c**4 + 12*c**2 - 4*c**4 + 16*c + 2*c**4 = 0.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 - 26)*(23 - 7 + 2)*(-r - 6*r + 4*r) in the form y + t*r and give t.\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(3\/10)*s))\/s**36 assuming s is positive.\nAnswer: s**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - y**2 - 3*y - 1. Let t be i(-1). Let x(z) be the second derivative of 2*z - 1\/6*z**t - 1\/36*z**4 + 1\/9*z**3 + 0. Factor x(k).\nAnswer: -(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-20))))**(1\/4)\/(x**(8\/13)*x*x**12))**(-45\/2) assuming x is positive.\nAnswer: x**(42975\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24 = -4*v - 6*i, 2*v - 12 = 3*i. Suppose -3*k + 6*f - v = 3*f, 2*f = k + 6. Put -1, k, -2 in decreasing order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84117.38 minutes to nanoseconds.\nAnswer: 5047042800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35190 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 32*k**3 + 2*k**2 - 83*k - 2. Let w(g) = 64*g**3 + 5*g**2 - 165*g - 5. Let u(r) = -5*b(r) + 2*w(r). What is the second derivative of u(i) wrt i?\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 + 2*m + 12*m + 127 to the form a*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + j - 62 = n, -4*n - j = -233. Suppose u = 4*u + n. Let v = -5 - u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 74. Suppose -4*c = 3*b - 38 - n, -4*c - b = -91. Let u(f) = -f**3 + 4*f**2. Let y be u(3). Solve -c = -3*a - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from ovworrovov?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 + 1602*h - 127093. What is a(109)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -8*v - 8, 5*n + 1123381*v - 1123383*v = 50 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**4 + 4009*h - 3546. Let z(j) = j**4 + 501*j - 443. Let y(t) = -2*f(t) + 17*z(t). Differentiate y(o) wrt o.\nAnswer: -4*o**3 + 499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 10*p + 18*p + 3*p - 52*p**3 - 31*p - 19*p**2.\nAnswer: -52*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 3839.\nAnswer: -16\/3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8332 divided by -2.\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916001762.\nAnswer: 2, 3, 17, 19, 988649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3838366 and 1231174?\nAnswer: 65252222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 4\/9, -209.42, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53526505 divided by 53526505.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 + 13*t - 3. Let m(v) = 6*v**2 + 7*v - 2. Suppose -j + 19 = 8*k - 5*k, -k = -3*j + 7. Calculate j*y(g) - 7*m(g).\nAnswer: 2*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, 2\/11, 11, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -2*a + 2*s, -5*a + 25 = -5*s. Suppose r = a - 12. Let p be r*(-3)\/(-12)*-2. Solve 0 = p*d + 21 - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564734 divided by -282367.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 102*u - 3297. Let s be b(54). Sort -9, 2, s in descending order.\nAnswer: 2, -9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*h = -3*w + 15, -5*h + 10 = w. Let n be ((-8)\/w)\/(4\/(-40)). Let v(r) = r**3 - 16*r**2 + 5. Let g be v(n). Solve 4*j = -j, 2*t - g*j = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7037 and 1063827?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -5. Let d = 17\/54 - -1\/54. Let g = 16.07 + -17.07. Which is the closest to g? (a) v (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*o - 2 = 0, 0 = -2*o + 10 - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a + -1080815?\nAnswer: -1080756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + -2*sqrt(540))\/sqrt(5))**2 - (sqrt(75)*-1*-4)**2.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/8 + 1\/(5 + -1). What are the prime factors of -1 - (-61 - (-8)\/p)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*p + 8. Let v(x) = -x**3 + x**2 + x - 2. Let o = -1092 + 1090. Let d be v(o). Solve -4*m + d = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8 = 4*n, -5*n = 22*y - 27*y + 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -23 + 15. Suppose -i = 2*i + 2*n - 219, y*i - 2*n = 292. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:06 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 6 + 75*q**3 - 85*q**3 in the form j*q**2 + h*q**3 + k*q + v and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -308*b - 148. Let h(p) = 77*p + 37. Let x(j) = -9*h(j) - 2*i(j). Is x(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.44 + 14. Let d = f - -0.44. What is the nearest to 0 in d, 6\/7, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17)\/(z*z*z\/(z*z*z**(1\/3))))**(-19) assuming z is positive.\nAnswer: z**(532\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) - ((-512)\/252)\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13548 is divided by 6744.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1265.6 + -929. Let j = d - 320. Which is the second biggest value? (a) -0.3 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9280049439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 - (0 - 2). Suppose x = -u + 4 + 13. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from ullxxulx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 + 3*v**2 + (-3*v**2 + 0*v**2 + v**2)*(5 - 3 - 4) - 2*v**2 + 3*v**2 + 0 - 1.\nAnswer: 6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wud. Give prob of sequence uw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13233006494 and -0.0101?\nAnswer: 13233006494.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 124*c**7\/21 - 7*c**6\/30 - c**4\/3 + 5*c**3\/6 - 8*c**2 + 9*c - 21. Find the third derivative of h(x) wrt x.\nAnswer: 14880*x**2 - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 1080 = -113*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 60 + 66 + 80 - 251 to d + g*u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-63)\/(-21)*(-1)\/11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1119 and 1988463?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 4. Calculate the lowest common multiple of 19 and a(-5).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/12 + (-1)\/(-4). Let d(j) = -6*j**2 + 9*j - 3. Let y(n) = 3*n**2 - 5*n + 2. Let a(w) = q*d(w) + 5*y(w). What is a(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 + 5*s + 6. Let n be i(-4). Suppose 0 = -13*m - 73 + 879. Suppose n*t + 5*z - m = z, -t + 5*z + 38 = 0. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = -2*j - 0*l, 5*j - 4*l = 0. Suppose z + 3*z = 16. Differentiate z - j + 2*v**2 + 2*v**2 - 2 wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 11:16 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -48, -101, -174, -267, -380, -513?\n\"Answer: -10*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 9*t**5\/20 - 17*t**2\/2 + t. What is the first derivative of n(x) wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2362.61 + 2.356\nAnswer: -2360.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from iiiiiiiiiiiigii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -108. Suppose -6*z + 2*z = -s. Solve 3 + z = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(135) + -4*sqrt(135))*6)\/(-3*sqrt(180)*3*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 4*o - 4*o)*(-3*o + 2*o - o + (0 + 4 - 3)*(3 - 3 - o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3793, -2967, -583, 4181, 12147, 24137, 40973?\nAnswer: 63477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 79*n - 25*n + 10 - 24*n - 25*n. Give g(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-1*78\/26.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(199*z - 1674*z + 85*z) to the form r + o*z and give o.\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 + 49*v\/2 - 4 = 0.\nAnswer: 1\/6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068959 and 8255?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -7\/4 (b) 2\/5 (c) -0.3 (d) -1\/5 (e) -27 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 1*0\/(-1). Let l be d\/(-8) - 2\/(-24). What is the third smallest value in 0, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/4))\/x**(-23\/4))\/(x*x**(-10)*x**4) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 535 and 41623?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.324, -8854, -3\/7 in increasing order.\nAnswer: -8854, -3\/7, -0.324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 0*o**2 + 2*o**2 - 8*o**2. Let q(z) = 7*z. Determine j(q(k)).\nAnswer: -147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 33*q**2 - 250*q - 198. Give f(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 3*n**2 - 4*n**2 + (-3*n + 4*n + 0*n)*(2*n - n + n) + n**2 + 0 + 0)*(-2*n**2 + 9*n**2 + n**2) + (4*n - 4*n + n**3)*(2 + 2*n - 2).\nAnswer: 34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - v + 126 - 132, 0 = g - 2*v - 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25245004*g. Let z(b) = 2*b**2. Give z(n(q)).\nAnswer: 1274620453920032*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 29*v**4 - 66*v**3 + 74*v**2 - 41*v + 9 = 0.\nAnswer: 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 61*t + 135 + 470 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x + b, -2*x + 2 = -b - 3. Let d = -485\/6 + 81. Suppose -2*s + 0*s - 5*p - 5 = 0, -5*s - 3*p = 3. What is the closest to s in x, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 17 (c) -272 (d) 5 (e) -0.09 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 488\/13?\nAnswer: 488\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y - 442 = -33*y + 64*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1086*2.335\nAnswer: -2535.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 5*y - 10, 41 = 3*s + 4*y. Let f(k) = -k**3 - 16*k**2 + 19*k + 39. Let d be f(-17). Solve -3*a = -d - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1110111111001?\nAnswer: 1110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*1 + -2 + (-5 - -6). Suppose -w*v + 864 = v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**2 + 4*k - 20. Let q be ((-3)\/(-9))\/((-1)\/(-9)). Let l(a) = -4*a**2 + a - 7. Let p(t) = q*g(t) - 8*l(t). Determine i, given that p(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(272) + 0)*-3)**2.\nAnswer: 61203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*p**3 - 908*p**3 - 2985*p**3.\nAnswer: -2939*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 665428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-1 + -1)) + 4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from tgjiiixigiti?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/29 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-683920)\/(-45024))\/83 + (-8)\/42.\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 330 = -5*r, 0 = 3*r - 2*y - 167 - 34. Is 64 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-3*sqrt(12)\/sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, 0.5, 24\/5, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000191707 rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701460109?\nAnswer: 7, 100208587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/4 + 7\/(-3). What is the closest to t in 1, 0.3, -2, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194959*b = -194957*b - 4*p - 26, 0 = 3*b - 5*p - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78376 or 78374?\nAnswer: 78374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3114\/11 or 284?\nAnswer: 3114\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*r + 4*c, -4*c - 2 = r - 2*r. Let v = r - 6. What is the smallest common multiple of v and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 347?\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/205 and -2\/110596475.\nAnswer: 110596475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + (-715)\/(-15))\/((-408)\/36 - -11). Let o = 8 + -6. Is c not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*j - 2744, z + j = -0*j + 684. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 - -309. Suppose a + 5*h - d*h = 69, -3*h - 135 = -2*a. Calculate the highest common factor of a and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 22. Let r = c + -11. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41140?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j**2 + 588*j + 149. What is r(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 230977888.\nAnswer: 230977886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (0 - (-1 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g - 5. What is the derivative of -5*b**g + b**2 - 1 - 2 - 4 wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*i - 10, 0*c + 2*i - 15 = -c. Suppose 0 = -u + c*x + 9918, -9921 = -u - 0*x + 2*x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*o + 3, -6*l + 163 = -4*o + 173 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232 = 259*z + 131*z + 3058 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92.869 - 9385.069. What is l rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 33. Let l = -23 - m. Let h(f) = -f**3 + f + 5. Let j be h(0). What is the closest to 1\/4 in -1, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2*f**2 + 11161*f - 11161*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(700) - sqrt(700))*-5 - (sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84) + (sqrt(84) - -1*sqrt(84)*-3))\/sqrt(12))*6.\nAnswer: -312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 19*a**3\/3 - 13*a**2\/2 - 19*a + 21. Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -acb900 (base 13) to base 15\nAnswer: -559450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -1.\nAnswer: -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78\/30 - 6\/10. Is 42 a factor of (-1192)\/(-8) + l + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/2233 - (-16)\/4814. Put 1, 0.1, q in descending order.\nAnswer: 1, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42240772.76 + 3\nAnswer: 42240775.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 + k**2\/2 + 14*k. Determine m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751865 divided by 8?\nAnswer: 4751865\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*((-132)\/(-20) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844515 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (2 + sqrt(85)\/sqrt(5))**2 - (sqrt(17) + 2 + -1).\nAnswer: -22 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/13 bigger than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-50)\/(-35) + (-19368)\/5796\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 30. What is h in -5*h**3 + h**3 + 6*h + 2*h**l + 2*h**2 - 2*h = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(-2*p**2 + 0*p**2 + 0*p**2)*(-16 - 16 + 13).\nAnswer: -152*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9127 + -9117. Let q(j) = -5*j + 66. Give q(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 540*i - 4 + 2*i**3 + 539*i + 3 + 204*i**4 to j + k*i**2 + c*i + d*i**4 + b*i**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -7205743.5029304.\nAnswer: 7205744.0029304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7455\/13206 + (1\/(-2))\/1.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 8*u - 3*u + 75, -5*u - 76 = 4*m. Suppose -v + 4*r = -30, -2*v + 9*r = 5*r - 56. Let d = v + u. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.064 and 0.07448.\nAnswer: 0.13848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025479040176 to 7 decimal places.\nAnswer: -0.025479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22023202120221 - 11?\nAnswer: 22023202120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4765*w**4 + w**3 - 108*w**2 + 4913036*w?\nAnswer: -57180*w**2 + 6*w - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 4*v + v + 13. Let q be i(-13). Let s(x) = -x**3 - 3*x**2 - 3 + q*x**2 + 2 + 4*x**2. Let u(w) = -3*w**3 + 6*w**2 - 6. Determine -6*s(p) + u(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**3 - 2*d**3 + 4*d**3)*(-1944 + 5834 + 1299*d - 1946 - 1944) to v*d + o + q*d**3 + k*d**2 + c*d**4 and give c.\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by -3*4\/(6 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**8\/84 + o**4\/4 + o**2 - 2. Let p(q) be the second derivative of t(q). What is the second derivative of p(j) wrt j?\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 - p + 1. Suppose y - 6 = -y. Suppose -4*f - y*q = -2*q - 64, 2*f + 5*q = 50. Suppose 2*g - f = -g, -3*g = -4*x - 11. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43316 and 1960?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 1881?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 4. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 35 = 5*p. Let y(h) = h**3 - 9*h**2 + h + 3. Let j be y(p). Let o be j\/(-33) - (-2)\/6. Solve 2*i = 4*c - 2, 5*i = 3*c - 2 - o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-5 - 36\/(-8)) + 2. Let u(m) = m**2 + 16*m + 76. Let a be u(c). Solve -d + 2*d + a = 5*j, 0 = -3*d - 4*j + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 44912?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*r = 540 - 365, 5*y - 4*r = 319. Let h(j) = 27*j**3 - j**2 - 2*j - 1. Let c be h(-1). Let a = 23 - c. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -162, -341, -556, -825, -1166?\n\"Answer: -3*o**3 - 158*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145\/4*y + 3\/4*y**4 + 25\/2 + 35\/4*y**3 + 127\/4*y**2.\nAnswer: (y + 1)*(y + 5)**2*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + x = 4, -5*j = x - 28 - 0. What is m in 26*m - 14*m**3 + 10*m**4 - 12*m**5 + j*m**2 - 26*m + 10*m**5 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 5428550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3 + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140156 less than or equal to 140549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/5)\/(0 - (1 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -s + 4*k, 2*s + 2*s + 5*k + 2 = 0. Let o = 0 - s. Suppose -o*h = -4*h + 16. Solve 4*d - h = -5*u, 4*u - 4*d + d = 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -756 + 756.001066. Round y to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 6. Let t = -15 + y. Suppose -3*p + 2*p + 1 = 0. What is the greatest common factor of p and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 2 - (2 + 2). Let d be i - ((0 - 2) + 0) - -16. Let s be ((-189)\/(-14))\/((-3)\/(-4)). Do s and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/259 and -7*467\/(-1813) - 2.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woww when four letters picked without replacement from wwowwowwgowwwwwowog.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -z. Let k(g) = -16*g**3 + g**2 - g - 1. Is k(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Suppose 3*w = 16 + 2. What is the remainder when -6 + 252\/15 + 1\/5 is divided by f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7590*l**2. Let m(a) = 9*a**2. What is k(m(s))?\nAnswer: -614790*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234414?\nAnswer: 2, 7, 13, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + -2 + 1) - (33 + -32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = 5*q - 18, -q + 5*x = 2. Suppose -q*k + 15 = 3*l, 4*l + 4*k = k + 15. Solve l = -g - d - 10, -5*g - 14 - 6 = -d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + 0 - (14 - 5 - (63 + -26 + -16))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6601 - 6195. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 13) in base 12?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11548 + -11554. Let w(n) = n**2 - 12*n - 2. Let m be 2 - (-11 + (3 - 2)). Let d be w(m). Sort d, -4, s, 5 in increasing order.\nAnswer: s, -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -61*y**3 + 10*y**2 - 7*y + 3. Let f(g) = -20*g**3 + 3*g**2 - 2*g + 1. Calculate -7*f(n) + 2*l(n).\nAnswer: 18*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 51330?\nAnswer: 1077930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.3955072 rounded to one decimal place?\nAnswer: -156.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 3599293?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*l + 21, -l - 5*k - 2 = 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 2. Let g be m(-7). Let w = -5 - g. Let a be 0\/w - 6\/(-1). Solve a*r + 25 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 12*l + 13. Let j(i) = -i**2 - 13*i + 13. Let x(q) = 5*j(q) - 6*z(q). Let t be x(-5). Let v = 654 - t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/8 + 355*s**2\/2 - 502677*s\/8 - 505521\/4 = 0.\nAnswer: -2, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -181, -412, -739?\n\"Answer: -48*b**2 + 9*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3. Let t be h(-4). Suppose 4*v = 12, 17*d + 12 = t*d + 4*v. Is d less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Let j = -3 + z. Solve -1 = s + 5*g, j*g + 1 = -2*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 13 = 3*k, -4*k - 5*p + 45 - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/9 and 58\/17937?\nAnswer: 17937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**3 - 2*v**2 - v - 2. What are the prime factors of t(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3*l**2)*((0*l - 3*l - l)*(-1 - 2 + 1) + (3*l + 0*l - l)*(2 + 0 - 1)) in the form a*l + m*l**2 + z*l**3 + h and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29171\/(-68) + (0\/(-4))\/5. Let o = 429 + i. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010100001001000 (base 2) to base 7.\nAnswer: -1521160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.283 - -4.717. What is the smallest value in h, -16, -2\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1019, -4079, -9179, -16319, -25499?\nAnswer: -36719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 19. Let w be (-15)\/(-5)*(0 + 17). Calculate the greatest common factor of g and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 2, v: 6, p: 2}. What is prob of picking 2 v, 1 n, and 1 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31032310 + -111010?\nAnswer: 30321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24 + 10*o + 10*o**2 - 23*o - 27 + 58 - 17*o. Let t be d(3). Let x(f) = 2*f - 3. What is x(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 3. Let l(u) = -3*u + 4. Let d(h) = 3*l(h) - 4*p(h). Let g be ((-148)\/12)\/(-37)*-1*3. What is d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:08 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2417376 and -89\/936?\nAnswer: 7252128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/236639 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2076 and 281298.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 376 = -4*z, 5*z = -4*b + b + 438. Let c be (26 - z)*(1 - -4). What is c rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24451751 (base 8) to base 7\nAnswer: -63601061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311.5, -0.1, -3\/4, -11.74 in decreasing order.\nAnswer: 311.5, -0.1, -3\/4, -11.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 6552?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -979, -982, -987, -994, -1003, -1014, -1027?\n\"Answer: -q**2 - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5002 and 1598302358.\nAnswer: 1598297356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-3)\/3 - -1). Let j be (w - -74)*1\/2. Let b = -22 + j. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 127, 259, -4, 5.\nAnswer: -5, -4, 0, 5, 127, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14002, 28010, 42018, 56026, 70034?\nAnswer: 84042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27668415 * 14\nAnswer: 387357810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 49*a - 20. Let f be i(18). Let m = f - 161. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = b. Let y be -9 + 2 + 2 + b. Let w(j) = j**2 - 5*j - 3. What is the remainder when 129 is divided by w(y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/((-4680)\/1040*((-4)\/(-1344))\/1).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 7*c**4\/8 + 16*c**2. Let f(m) = -2*m**2. Give z(f(v)).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*w = 1 - 2, 3*m = 3*w + 9. Let j(t) = t. Let z be j(m). Suppose c - 60 = -z*q, 0 = -3*q - 0*c - 2*c + 43. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2100723 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 6) + 323\/1. Let u be ((-11232)\/30)\/4*20\/(-6). Suppose -5*b - 112 = -u. What is the greatest common divisor of b and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/53*2\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ler when three letters picked without replacement from lqeqrr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/((z**(3\/4)*z)\/z))))\/z)\/(z**(-9)*z*z)*(z\/(z\/(z*z\/(z*z**(-1\/2)\/z))*z))**(-5) assuming z is positive.\nAnswer: z**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/7, -2\/9, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**5 + d**4 - d**4)*(0 + 1 + 1) + 2*d**2 - 2*d**5 + 0*d**2 + 4*d**5 - 754*d**3 - 2*d**4 + 754*d**3 + 2*d**5.\nAnswer: -8*d**5 - 2*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2689, -5409, -8129, -10849, -13569?\nAnswer: -16289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuu when four letters picked without replacement from {u: 5, v: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 12. Suppose -z*f = -5*f + 12. Suppose m = -5 + 26. Calculate the remainder when m is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331036916 + -584456916. What is z rounded to the nearest one million?\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386297.\nAnswer: 386297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 v when three letters picked without replacement from lyhyymymvlhymyhym.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-808353)\/27846 - 2\/(-68).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - f = -0*d, -5*f = 2*d. Let m be (-1 - d)*-11*1. Suppose -61*p = -62*p + 22. Calculate the highest common factor of m and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 70 = 5*f, 5*f = -2*z - z + 65. Suppose -4*b = -f*b + 288. What is the least common multiple of b and 33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:23 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**2 + 0 - 1\/3*f**3 + 2*f. Let d(t) = 13*t**2 + 6*t**2 - 26*t**2 + 5*t**2 + 6*t**2. Determine h(d(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 3*h - 6, 0 = -3*f - 3*h + 6. Suppose 7*s - 7 - 7 = f. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnbibbiidd. Give prob of sequence bd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-274 + 279)\/(5\/54). Solve 90*y - 63*y - v = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.473787 and -18879.\nAnswer: -18878.526213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/7*j**3 - 1\/7*j**4 + 0*j**2 + 0*j.\nAnswer: -j**3*(j - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let n = -1.26821 + 20.26821. Which is the second biggest value? (a) n (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*(-27)\/(-1242)*23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = 11*q + 699. Solve -q*u = -5*n - 14*u - 7, -n + 2*u = 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664457019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230978 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*f - 3, 19*k - 14*k + 18 = -f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/2)*f)**17)**(-15))**(1\/41) assuming f is positive.\nAnswer: f**(-765\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/120 + 3*o**5\/20 - o**4\/3 - o**3\/3 - o**2. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -821?\nAnswer: -410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 3 - (-46)\/(529\/(-23)). Suppose -o - 5*k + 10 = -2*k, -4*k = -4*o + 8. Let i be 16\/36*3\/2. What is the biggest value in v, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.26. Let d = -0.26 - f. Let i = -0.999959 - d. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 + 63 - 94 + 32 - 167*b + 38 wrt b.\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42283?\nAnswer: 42283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y**2 + 2*y - 22*y**2 + 40*y**2 to f*y**2 + c*y + n and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46641795 to the power of 1\/2, to the nearest integer?\nAnswer: 6829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864864.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 288, 510, 732, 954, 1176?\n\"Answer: 222*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -77.3. Which is the closest to 0.2? (a) 3 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 45 = -m. Let x be 2\/m - 104\/(-18). Suppose x = 4*b - 2*w, 5*w - 13 = -5*b + b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 35*q**7\/12 - 21*q**6 + 683*q**5\/15 - 12*q**4 + 4*q**3\/3 - 2*q**2 + 29*q. Determine k, given that v(k) = 0.\nAnswer: 2\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34872893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 + 6*n - 4. Let j be (-6)\/5*30\/(-9). Let u be s(j). Suppose 0*k - k = -u. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0388 times -2635\nAnswer: -102.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - q + 2. Let i be 175\/(-20) + 138\/184. What is d(i)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 37. What is the nearest to -0.2 in 1\/6, c, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 8 = -u. Let i = 121 - u. Suppose -v - i = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x, -x = 2*i - 0*x - 7. Let t be (-32)\/(-10) - 1\/i. Differentiate 2 - a**t - 3*a**4 + a**3 wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101001 (base 2) in base 13?\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-6)\/(-3)))\/(340\/765)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -18. Calculate the greatest common divisor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262 + 266. Suppose 0 = 6*s - 3*s - 42. What are the prime factors of (6000\/70 + w\/s)\/1?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-5 + 2 + -6). Is (1478\/4)\/(q + (-18)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose 5*w + 4*s - 11 = 3*s, 2*w = 2*s + d. Which is the biggest value? (a) -0.4 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2113 = -450*l + 2336*l + 1742 + 3689 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302203120 (base 4) in base 10?\nAnswer: 469208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57903.03 months?\nAnswer: 48.252525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/4010 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 14. Let a be i(10). Suppose -30 = -3*u + a*o, 0 = 3*u - 5*u + 5*o + 20. Let z(p) = p - 3. Calculate the lowest common multiple of 5 and z(u).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.077*-73097.\nAnswer: -5628.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177480 divided by 19720.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(1214*p - 573*p + 215*p)*(1 + 3 + 1) to the form t + y*p and give y.\nAnswer: 8560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.3 - -4.7. Let d = y - 25. Let k = 0 + 0. Which is the nearest to 1\/2? (a) k (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**2 + 3\/20*b**5 + 1\/6*b**3 - 17*b + 1\/3*b**4 + 0. Suppose 0 = 3*d + m + 5, 5*m + 6 - 3 = -4*d. Calculate i(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b**2 + b**2 + 4*b**2 + (-2*b - 18*b + 0*b)*(3*b - b - 4*b))*(5 + 2 + 10) in the form c + y*b**2 + k*b and give y.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(77)*-2 + sqrt(77)) - sqrt(77)*-1*-6)\/(sqrt(66)\/(sqrt(108)\/sqrt(2))).\nAnswer: -6*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -752 + 320. What is the units digit of 2 + 0 - (o - (-12)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*m = 1, 0 = 3*m + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kookooooko. Give prob of picking 1 k and 2 o.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 21*o + 546 = -10*o + 5*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -35*o. Let n(d) = 7*d. Determine v(n(u)).\nAnswer: -245*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -0.119, 6, 5?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 12*y**2 - 11*y + 28. Let q be r(-13). Suppose 0 = -q*x + 2*z + 8, 3*x + 2*z - 3 + 6 = 0. Solve -6*d + 20 = 5*a - d, 0 = a - 2*d - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221010 (base 3) in base 14?\nAnswer: 180b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {x: 1, i: 3, d: 1, z: 9, b: 3, l: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:28 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121213243 (base 5) in base 2?\nAnswer: -10001000100110010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/4 + (6 - 23\/4). Let 2\/9*a**3 + 0 + 0*a + 4\/9*a**q + 0*a**2 + 2\/9*a**5 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -385*b + 383*b - 19*b**2 + 84 - 40*b**2 + 34 wrt b.\nAnswer: -118*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*n + 68024 - 16076 = -2486*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11.78, 4\/3, 0.1, 1.2, -3, 5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = 3*g. What is the tens digit of (g\/6)\/(5 + 1884\/(-378))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 5*q. Let b(c) = -c. Let j(i) = -5*b(i) + z(i). Let s(h) = -9*h**2 - 6*h**2 - 8*h**2 + 19*h**2. Determine s(j(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, -4*c - 2*g - 3*g = 19. Find the common denominator of -35\/2 and c*7*(-13)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/126)\/((-40)\/105). Which is the smallest value? (a) -2.6 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15804813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 15 = -5*c, 9*g = c + 22 + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8059.\nAnswer: 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 2, n: 1, y: 3}. Give prob of picking 1 n and 2 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(325)*-4 + (sqrt(1053)*-2)**2*3.\nAnswer: -20*sqrt(13) + 12636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 510 = -17*p. Let z be 0*(-5)\/p*(-3)\/(-6). Solve -10 = -2*t - z*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393400229207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let j be (20\/(-6))\/((-2)\/i). Let c = j + -5. Solve -4*s + s = c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f - 27. Let u be a(2). Let b be 165\/(-80) - (-1 + u\/3). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31533404, -63066818, -94600234, -126133652, -157667072, -189200494, -220733918?\n\"Answer: -t**2 - 31533411*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5794486 rounded to the nearest ten thousand?\nAnswer: -5790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 5*k - 16 - k - k + k. Let n(t) = -2*t + 0*t + 3*t. Calculate n(d(r)).\nAnswer: -3*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*r = 5, -4*a + 6 = -r + 6*r. Let q = -5.7 + 0.7. What is the nearest to a in -3\/5, q, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.5. Let s(u) = u**2 + 5*u - 33. Let b be s(4). Suppose -68*p - b = -71*p. What is the smallest value in 0.4, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 43*b - 352. Determine g(-9).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {h: 1, m: 2, e: 1, a: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q + 5. Let y be (-2 + (-4)\/(-2))\/(-3). Give n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*r - 735*h**2 + 5*h*r + 418*h wrt h.\nAnswer: -6*r - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2095328 or -2095308?\nAnswer: -2095328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b8 + -cd28?\nAnswer: -cc50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t + 2. Let c be g(3). Suppose -3*h + 5*n = n - 223, 142 = 2*h - 4*n. Suppose h = -c*s + 256. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498.967 + -285.7?\nAnswer: 4213.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10422 and 1566.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*z = 7*b - 90, 60 = 2*b + 4*z. Calculate the least common multiple of 50 and b.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r**5 + 82308*r**4 - 544500*r**3 - 1632628*r**2 - 1302624*r - 296784 = 0.\nAnswer: -4122, -1, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947370233 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(396)*1)\/sqrt(9))\/((sqrt(256)*1 - sqrt(256)) + (-2*sqrt(64) - sqrt(4))))**2.\nAnswer: 275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42357 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -131629, -131635, -131643, -131653, -131665, -131679, -131695?\n\"Answer: -a**2 - 3*a - 131625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -924.42627 and -353.4.\nAnswer: -1277.82627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26583.2g?\nAnswer: 26583200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**3 + 77*y**3 - 5*y**3.\nAnswer: 43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49437.\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-12)*6\/(-4). Let i be z\/(-10) + (-210)\/(-50). Find the second derivative of -i*n - 13*n**2 - 4*n + 14*n wrt n.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5034\/21 + 8\/28. Calculate the highest common factor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 1916512*d - 459127280768.\nAnswer: -2*(d + 479128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/6 + 40034*x**3\/3 - 440181*x**2 - 2761190*x\/3 - 2801225\/6 = 0.\nAnswer: -1, 35, 80035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(-4 + 5*sqrt(10)\/sqrt(2)).\nAnswer: -25*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/27879944 and 19\/300514.\nAnswer: 864278264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 5*h + 4. Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*2\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:51 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 3. Let y(i) be the first derivative of -i**3\/3 - 4*i**2 + 7*i + 3. Let n be y(-9). What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {v: 1, b: 2, m: 4, f: 3}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 39 = -18*d, -25*b - 2*d - 10 = -23*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 236 - 141*i - 236 - 13 - 19 + 32 - 23*i + (5 - 1 - 5)*(i - i - i).\nAnswer: -163*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let i = -5.1 + n. Suppose 0 = 4*g - 0*k - 3*k - 20, 4*g - 2*k = 20. Which is the closest to i? (a) -1 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(176))**2 - (2 + (sqrt(11) - (0 + sqrt(891))))) + ((sqrt(88) + (sqrt(88) - sqrt(88)*-3))*-5)\/(sqrt(392)*-1 - sqrt(392)).\nAnswer: 137*sqrt(11)\/14 + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from iirbpibiizziipiicci.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -597068.59809 + 597319.6. Let t = c + -251. What is t rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + a - 259, 5*l - 3*a = 311. Suppose -59*t - 955 = -l*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3465*t + 3448*t = 102 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - (2 - 4 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210072353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 18. Let l be (4 - (4 + -1)) + 4. Suppose 2*f = -q + 38, z = l*f + q - 66. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 623027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440597335 is divided by 4380?\nAnswer: 4375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -9*g + 1134. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -93*j**2 - 9*j + 1219. Let q(y) = -48*y**2 - 5*y + 609. Let l(h) = 7*q(h) - 4*u(h). Differentiate l(g) with respect to g.\nAnswer: 72*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71\/6 + 12. Let s(q) = q**3 + 8*q**2 - 23*q - 26. Let h be s(-10). Which is the second smallest value? (a) -20 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2623 or -1.7?\nAnswer: -2623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + (sqrt(891) - (sqrt(891) + (sqrt(891) - (sqrt(891)*-2 + sqrt(891))))))*-1)**2.\nAnswer: 2592*sqrt(11) + 128448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113.9786 rounded to the nearest ten?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3456 - -3462. Suppose -y + r + 16 = 0, 0 = -4*y + 2*r + 50 + 16. Solve -y = -2*p - 3*o, 3*p = -0*p + 2*o + q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + 1. Let p(n) = -16*n**3 - 69. Let b(t) = p(t) - 2*z(t). Find the first derivative of b(m) wrt m.\nAnswer: -54*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*z - 32*z + 82*z - 25 - 12 + 50 to c + n*z and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18597*k**3 + 18599*k**3 + 228 - 37197*k**3 to the form u*k**3 + v*k + x + a*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-96) + (-3)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2042935004 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6*h**2 + 0)*(4*h - 7*h + 561*h**2 + 3*h) in the form y*h + f*h**3 + u*h**2 + b + z*h**4 and give z.\nAnswer: -3366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22755876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158098 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttctttt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86907776?\nAnswer: 2, 821, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 163, 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/23)*q*q)\/q*q)\/(q*q**(-17)))**(-2\/29) assuming q is positive.\nAnswer: q**(-832\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213133 - -100230?\nAnswer: 320023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -34*n + 31. Let h(o) = 28*o. Calculate h(u(j)).\nAnswer: -952*j + 868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16914 - 13272. Calculate the lowest common multiple of 6 and d.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 3. Let l be 10\/(-4)*o\/20. Solve -j + l = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*b + 15, 2*b = -0*d - 6*d - 30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.6 - -17. Let n = w - -0.9. Suppose 0 = -2*x - 10, 2*o - x = -3*x. Put o, -3, n, -1 in decreasing order.\nAnswer: o, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 11*q + 29. Suppose 3*w + 140 = 7*w. Let s = w - 50. What are the prime factors of y(s)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 774 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23704090*l**4 - 123745718*l**2?\nAnswer: -568898160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 + 2*q - 2. Let o be i(4). Let h = 55 - o. Let a = h + 66. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 + z**3)*(-z + 0*z**2 + 0*z**2 + 2*z**2).\nAnswer: 2*z**5 - z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 751*n**4\/6 + 511*n**3\/6 + 19*n - 12. What is the second derivative of l(a) wrt a?\nAnswer: 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123398785*f*i**3 - 2*f*i**2 - 3*f*i + 1651*f - 19*i**2 + 41*i wrt i.\nAnswer: 740392710*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-f - 6*f + 8*f) as d*f + y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)*-18 - (-1 - 2\/(-2)). Put x, 19, 0, 5 in ascending order.\nAnswer: x, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 6)\/(-11)*((-14)\/(-3) - 5). Which is smaller: h or 245\/197?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x - 1\/20*x**5 + 2 - 1\/2*x**4 - 2*x**3 - 2*x**2. Let m(s) be the second derivative of w(s). Factor m(h).\nAnswer: -3*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 47. Suppose i*j + 8 = 2*j. Let o be 3\/1*j\/276*4. Which is the nearest to 0? (a) 2\/29 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -4*x, -2*t - 5 = -3*t - x. Suppose 3 = 3*o + m + 2, -5*o = t*m + 15. Is 16\/9 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose -3*j - 12 = -2*l, -2*l = -v*j - j - 4. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2)\/(5 + -7). Suppose 2*g - 5*z = p, -g - 2*z = -7*z. Sort g, 4, 3 in ascending order.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -29, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 4*z**3 + 2*z**3)*(0*z**2 - 9*z**2 - 2*z**2).\nAnswer: 33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0.05, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9825149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-605)\/35 - 2\/(-7). Let p = w - -33. Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 128, -3, -2284?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.83 - -1.13. Let b be (-7)\/(525\/310) + 4. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 164*r**2 + 171*r - 350. Calculate the remainder when t(81) is divided by 253.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/84 and -155\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187291*r - 23 = -u - 187297*r, 5*u - 15 = -5*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 9*w - 12. Let l be c(-6). Suppose 4*t + 6 + 9 = j, 3*j = -t + l. Let x be j\/18 + (-13)\/6. Sort -1, x, 3 in decreasing order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 11 = 5*t + 15, -8 = 3*y + t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7.2. Let x = -0.15 - 0.05. Let g = v - x. Sort g, 0, -1\/5 in decreasing order.\nAnswer: g, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23128\/1475)\/98*50\/4 - 89?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 + 3*o + 5. Let p be y(5). Let b(q) = 4*q**2 - 7*q + 4. Let h(z) = -5*z**2 + 8*z - 5. Let k(w) = p*h(w) - 6*b(w). Solve k(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*12854.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*x + (2 - 1 + 1)*(49 + x - 49) + 0*x - 6*x + 0*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21997092 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7191.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49397062?\nAnswer: 2, 11, 13, 172717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -52.5. Let q = -0.2 - -0.2. Let j be (168\/27)\/4 - 2. Which is the closest to q? (a) w (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, -41*i - 3*d + 24 = -40*i. Let b = 77 + 16. What is the remainder when b is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7834, -31489, -70926, -126139, -197122?\n\"Answer: u**3 - 7897*u**2 + 29*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-3)\/1 - 0). Let c(b) be the second derivative of -b**4\/12 - 4*b**3\/3 - 3*b**2 - 3*b. What is c(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 243. Give z(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2 + -7 + 0). Let h be 2\/c - (-75)\/27. Let r = 35205 - 35203. Solve -r*v - 5*s + 20 = -3*v, -2*v - 12 = -h*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -10. Let k(b) = -7*b + 4 + b**2 - 3*b - b - n*b**2. Is 3 a factor of k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 4. Let v be j(-4). Let u = v - 13. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 5, 3845?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-72))\/(5\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0*l**2 + 2*l - 1\/6*l**3 + 0 + 1\/4*l**4. What is the second derivative of w(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.1 (c) 3 (d) 16 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose -660 = y*m - 8*m. Calculate the remainder when 4\/14 + m\/28 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76234373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(2*s + 0*s - 3*s)*(-1299*s**3 + 1299*s**3 - 448*s**4).\nAnswer: -896*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(175) + (0 + sqrt(175))*-5)**2.\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 7 + -9 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 74*w = 68*w - 36, q - 2*w - 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in -1\/4, 53226, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 18*l**2 + 13*l - 1. Let p be 300\/(-20) + 12 + 20. Give r(p).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 182610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2385*c + 21206 - 4325 = 6966 - 18705 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**3 + 9*u**2 + 2*u - 6. Let g(i) = -4*i**3 + 9*i**2 + 3*i - 5. Let p(a) = -6*g(a) + 5*n(a). What is p(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4320\/2992 - (-36)\/(-102)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**8\/3360 - x**7\/315 + x**6\/72 - x**5\/30 - 5*x**4\/6 - 14*x. Let u(n) be the third derivative of m(n). Factor u(t).\nAnswer: 2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + -6.65. Let h = 38.5 + j. Let m = -31.99969 + h. Round m to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 10*w**2 - 141*w - 92. What is the remainder when a(-13) is divided by 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 83, 93, 109, 131, 159, 193?\n\"Answer: 3*h**2 + h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.8 + 39. Let z = -7 - -13. Let i = 5 - z. Which is the closest to i? (a) p (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (1\/5)\/((-870)\/80475)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 168510 = -3*f - 5*f. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678 times 1.604?\nAnswer: 9107.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 7*n**2 + 9*n - 10. Let w be y(-8). Let d be w\/52 - 5\/(-10). Let j = -0.3 - -0.1. What is the smallest value in j, d, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 8 = -4*c - 25, 3*i + 19 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 40 + 9 - 43*d**2 + 26 - 9.\nAnswer: -43*d**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5734581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60103.43 centuries in months?\nAnswer: 72124116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -640958*r**3 - 2*r**2 + 25189*r - 38 wrt r?\nAnswer: -3845748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3783)\/29003)\/((-6)\/(-483)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 506 divided by -15899\nAnswer: -506\/15899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1752811278 divided by -6\nAnswer: 292135213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*y - 285, 2*n - 33 = y + 15. Let p = y - -16. List the prime factors of 7\/14 - p\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*r**3 + 538*r - 2*r**2 + 2*r**2 - 539*r to the form f*r**2 + b + u*r + m*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620761.\nAnswer: 547, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*z, -4*f - 10 + 1 = 5*z. Let c = -2 + 1. Let q be (33\/(-9) + z\/3)*c. What is the highest common divisor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*z + 39 - 71 - 502*z + 37.\nAnswer: -67*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 + 60*s**3*u + 54*s**2*u - 758*s + 25*u wrt s?\nAnswer: 12*s**2 + 360*s*u + 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -8253.\nAnswer: 115542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:38 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/8242108?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2*n + 17 - 2*n)*(4*n**2 - 5*n**2 - n**2).\nAnswer: -2*n**3 - 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 4*u + 7. Let z be k(6). Suppose z + 56 = 3*d. What is the remainder when d is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -96 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2)*((-24)\/(-27) - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.3217 grams to tonnes.\nAnswer: 0.0007263217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmc when four letters picked without replacement from {c: 9, m: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295 - 1177\/4. What is the biggest value in 2\/21, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6423*b**2*q**2*t**3 - 78*b*q**2*t**2 + 35*b*q**2*t + 2*b*q*t**3 wrt b?\nAnswer: -12846*q**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 5. Let s be w(-4). Suppose 2*o + 0*o = -72. Let x = o - -63. What is the greatest common divisor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -80. Suppose 5*g - 14 = -m*h, 0 = -3*h + g + 5 - 1. Let b be 4\/1 + 2*-1. Solve -h = b*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5 + 5970*p**4 - 83752*p**3 + 143616*p**2 = 0?\nAnswer: -5984, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**6\/10 + 24*t**5\/25 + 33*t**4\/10 + 28*t**3\/5 + 51*t**2\/10 + 12*t\/5 + 119. Factor y(k).\nAnswer: 3*(k + 1)**4*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294074889?\nAnswer: 3, 1999, 49037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*t**2 - 45*t**2 - 61*t**2)*(-2*t + 3*t + 0*t)*(-5 + 14 + 15).\nAnswer: -5088*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 44*j\/3 - 32.\nAnswer: 2*(j - 24)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -16 + -3*(-3)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.998184 take away 0.2?\nAnswer: 2.798184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)*-1)\/sqrt(3))\/sqrt(6))**2*-2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 7 + 3*n**2 + 0 + n**2 - 2*n**2. Let l be (2 - 0)*(-15)\/6. Let m be q(l). Solve 0 = 2*z + 4, -2*h - 3 = -3*z - m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 930233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5834, 5846, 5872, 5918, 5990, 6094, 6236?\nAnswer: 6422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9))\/(3\/153). Let d be a\/(-4) - 3\/(-4). Solve 2*o - o - d = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {b: 2, s: 3, u: 2, g: 2, w: 2, r: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + p**2 + 2*p - 33. What is k(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.0094029?\nAnswer: -0.1094029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 2, s: 4}. Give prob of sequence zl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 1232*x + 63180.\nAnswer: 4*(x + 65)*(x + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -186\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488991 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*87\/12 + 95\/(-76). Let i(n) = n**2 + 11*n - 45. Let o be i(4). Solve 0*m - 3*m - o = 2*t, -x = 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 139*k**8\/84 - k**5\/30 - 79*k**4\/6 + k**3\/3 + k**2. What is the second derivative of o(u) wrt u?\nAnswer: 11120*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 4*f - 33. What is the tens digit of b(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0 + 0*j**7 - 1\/20*j**6 + 0*j**3 - 6*j**2 + 0*j**5 + 1\/112*j**8 + 1\/8*j**4 + 0*j. Let t(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:23 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 53 = 4*l, o + 5*l + 18425 - 18447 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9630, -9307, -8984?\n\"Answer: 323*u - 9953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0 = -3*o - 3, -2*o + 5*h = -19. Suppose -5*m + 6 = 2*d, m + 2*d = -2 - 0. Solve m*s = 3*r + 8, -s = -2*r + o*s - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21111221221 + -11?\nAnswer: 21111221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1100 by -5.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 0 - 9 - (58 + -27)) + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 3*j**4 - 2*j**4 + (-2*j + 0*j - j)*(29*j**2 + 5*j**3 - 29*j**2) + 4*j**4 + 3*j**4 - 4*j**4.\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24834461?\nAnswer: 24834461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20322003 - 300002?\nAnswer: -21222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27014*l = -2*b - 27015*l + 6, 2*l = -3*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18994?\nAnswer: 2, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - w)*((-2*w + 6*w - 3*w)*(-4*w + 2*w + 4*w) - 4*w + 4*w + 2*w**2 + 67*w**2 + 672*w**2 - 44*w**2).\nAnswer: 1398*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4458886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*(f**(2\/13)*f)\/f*f\/f**(-7)*f\/(f\/(f\/f**9*f)) assuming f is positive.\nAnswer: f**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-9))\/y)\/y*y*y**(-2\/5)*(y**(2\/3)\/y*y*y)**(-11))**(-2\/5) assuming y is positive.\nAnswer: y**(292\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*c + 12 = -x, -3*x + 13 = 2*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -3\/2*m**2 - 3\/2*m**3 + 2 - 1\/2*m. What is v in j(v) = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 166, 336, 506, 676?\n\"Answer: 170*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 749222.2 milligrams?\nAnswer: 0.0007492222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 4, v: 1, a: 1}. What is prob of sequence nk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/24193 - 2056447\/1016106. Find the common denominator of b and -38\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*o**2 - 4 + 6204*o - 6226*o to the form u + g*o + q*o**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6516 = 676*f + 48*f. Let j(r) be the second derivative of -r**3\/6 + 15*r**2\/2 - 3*r. Calculate j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 = 4*w + 6*u, -5*u = 4*w - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-258)\/(-10) - (-7 - 170\/(-25)). Let i = 142 + -77. What is the highest common factor of i and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -n - 2*s - 2, -4*s = -n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12*1*45\/(-10)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 13942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3 + 4\/9*o**3 + 0*o + 2\/3*o**2. Determine h, given that z(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0038178*-21.\nAnswer: 0.0801738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**7\/21 - 4*c**6\/15 - 2*c**5\/5 + c**4\/3 + 5*c**3\/3 + 2*c**2 + 17*c. Solve n(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.207 + -0.683. Let g = t - 1.11. What is the nearest to -1 in 2, -4\/3, g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45202372 or 45202373?\nAnswer: 45202373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/92*(-40)\/10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 = -14*r + 16*r. Let u = r + -350. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**6 - 107430*s**5 - 835*s**2 - 71 wrt s?\nAnswer: -480*s**3 - 6445800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 3. Give z(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 60*u**3 - 7896*u**2 + 115840*u - 278400.\nAnswer: 4*(u - 20)**2*(u - 3)*(u + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 208 = 3*b - 4*b, 0*b + 3*j = -8*b - 0*b + 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 3*d**4\/4 - 4*d**3\/3 + 5. Let f(r) = -10*r**3 + 13*r**2 + r + 1. Let h(o) = 2*f(o) + 7*g(o). Is h(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 24*q + 6100 = 0. Suppose -q*y - 3528 = -250*y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7046513.\nAnswer: 641, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 + -1976.\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/(v**(-5\/3)\/v*v))\/(v\/v**(1\/3)*v**(2\/7)) assuming v is positive.\nAnswer: v**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let g(n) be the first derivative of -29\/12*n**4 + 0*n**3 - 11 + 5*n + 0*n**2. Let b(i) be the first derivative of g(i). Determine b(z(h)).\nAnswer: -29*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -987289, -3949157, -8885603, -15796627?\n\"Answer: -987289*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(81\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 24 - 8 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a factor of 24787974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16\/23, -346, -3.\nAnswer: -346, -6, -3, 16\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128.59 - 0.59. Let a = -138.8 + s. What is a rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50384885 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4212 and 2401524?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3405\/(-69462))\/(5\/(-3))*4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82856091?\nAnswer: 3, 27618697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (10 + 1 + 28 - 13 - 13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100187 is divided by 58?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.387879 tonnes to milligrams.\nAnswer: 7387879000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f\/(f*f**(-9\/5)*f)))*f)\/f)\/(f**(1\/5)*f))\/(f*(f*f\/(f*f**(-1\/2)))\/f)**0 assuming f is positive.\nAnswer: f**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (68\/6)\/((-12)\/18). Let f be 2 + 1 + -2 + -27. Let j = h - f. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (0 - (4 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 - 4 = -22. Solve -28 = -d*a + 4*h, 0*a + 7*a = h + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 - y - 1. Let n be d(-4). Suppose g = -n*u - 3*g + 5, u = 5*g - 30. Let m be 1\/u - (-11000002)\/10. Round m to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22683?\nAnswer: 3, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, 158, 506, 1172, 2258, 3866, 6098, 9056?\n\"Answer: 17*l**3 + 6*l**2 - 5*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knp when three letters picked without replacement from pknlnk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166164206 (base 7) to base 2.\nAnswer: 101011101010000110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331)*-2 + sqrt(1331))**2 + (((sqrt(88)*-1)\/sqrt(8))**2 - sqrt(11)))*-5 + 1 + ((1 + sqrt(396))*5)**2 + 2.\nAnswer: 305*sqrt(11) + 9873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/453 - 4979\/906. Let f = o + 71\/14. Let s = -3 + 3.5. What is the third smallest value in -1\/7, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 408456\/11 or 37132?\nAnswer: 408456\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*k = 4, 4*c - 5 = -3*k + 4*k. Solve -x + 4*m + 6 = x, -c*x - 3*m = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7*z + 12*z - 8*z to l*z + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 6 + 6)*(992 - 992 + 111*i) - 2*i**3 + 0*i**3 - i**3.\nAnswer: 330*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000276163029 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0*y - 5*y + 4*y - 3*y - 2*y**2. Suppose v = -v. Suppose -3 + v = s. What is k(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m - 1. Let s be z(2). Let i be s*2*(-2)\/10. Suppose -5*j = -6 - i. Solve -1 = j*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 339 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4*j*m - 4*h**4*m + 4*h**3*j*m**2 + 8*h**2*j*m**2 + 5*h**2*m + m**2 wrt h.\nAnswer: -48*h*j*m - 96*h*m + 24*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -751\/12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -937 + 936. What is the closest to -5 in 1, 0.5, -19, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*2*(-1)\/4*21*46\/(-161)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7607637?\nAnswer: 3, 59, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44762728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 32*r = -5*v - 13, 0 = 4*r + 2*v - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 184 = 5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/75*(-4)\/(8\/21))\/(51\/(-510)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-33) - 5695\/(-737)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20. Let b = 2 - t. Let k(c) = b*c**2 + c**2 + 34 - 34. Let i(x) = -x**2. What is i(k(m))?\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49*u**2 - 2*u - 3*u + 6*u. Suppose -26*l = -2*l + 24. Is k(l) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9823.\nAnswer: 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:58 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 1, 68 in decreasing order.\nAnswer: 68, 1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 14. Let u = -15 - -18. Calculate the remainder when (4\/u)\/((-22)\/(-891)) is divided by f(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-36)\/6 - -5). Is (u + 6)\/(2\/762) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 210 = -33*w. Suppose 0 = t - 3*t - 3*d + 5, -d = 4*t + 15. Let i = t + w. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and (-2)\/((-8)\/(714 - 10)).\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -720?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16458 plus -296.33?\nAnswer: 16161.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8389.7 take away 11.285?\nAnswer: -8400.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeemrft. Give prob of sequence rem.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 165057*k - 165061*k - 23, -2*u - 4*k = 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14201 is divided by 79.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329051 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -278*m**4 - 1208*m**3 + 2848262 wrt m?\nAnswer: -1112*m**3 - 3624*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*s**2 + 5*s + 4*s + 7*s**2 - s = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*r + 1, -2*r - 2*l + 11 - 13 = 0. Solve r*j = -3 + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 34 = 4. Let g be c*(-6)\/(-12) - -6. Solve 3 = g*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.02 (c) 1 (d) -0.7 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:56 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1195 + -1371.04. Let w = -172 - x. Let j = w + -0.04. What is the third smallest value in j, -3, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.0974um in nanometers?\nAnswer: 762097.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 2. Let w(l) = -1. Suppose 83*f = -16*f - 198. Let a(v) = v**2 - 2*v - 3. Let b be a(4). Give b*w(d) + f*y(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2 + 121001*p**2 + 2 - 121003*p**2. Let y = 57 - 31. Let z(d) = -62 + 62 - y*d. Determine z(l(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2190 - 2126. Solve 66*w + 9 = x*w + y, -5*y = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.51 - 0.31. Which is the closest to 0.1? (a) 0.03 (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:57 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m**3 + 3960*m**2 - 3960*m**2.\nAnswer: 65*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 1732*z + 29731. What is l(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -56785883 != -56785882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -489, -293, 31, 483, 1063, 1771, 2607?\n\"Answer: 64*r**2 + 4*r - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) - (-1 + -1). Find the second derivative of 57*c**3 - 2*c**2 - 21*c + 16*c**j - 44*c + 2*c wrt c.\nAnswer: 438*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2*k**2 + 2 + 0*k**2 + k**4 + 1 + 3*k**3 to the form o*k + n*k**4 + m*k**3 + w*k**2 + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from havihiiivvvbvb. Give prob of sequence ivh.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3705*i**2 + 26*i - 26. Let m(a) = -926*a**2 + 6*a - 6. What is 13*m(d) - 3*r(d)?\nAnswer: -923*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -42*h + 16. Let q(z) = 43*z - 17. Let d(f) = 3*q(f) + 2*u(f). List the prime factors of d(6).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q + 388. What is h(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 172915.61 to the nearest 100.\nAnswer: 172900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + ((-7)\/14)\/(1\/(-4)). What is the highest common factor of 207 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -379*f**4 + 120?\nAnswer: -1516*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/2 - 2*g**3\/3 + 5. Factor f(b).\nAnswer: -2*b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 36 - 26611*k**2 + 73.\nAnswer: -26611*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3018549 + 2961767 = 332*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 2\/11 (d) -10 (e) 23 (f) 4\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idn when three letters picked without replacement from {s: 2, g: 2, t: 1, d: 5, n: 1, i: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*m**3 + 2*j**3*m - 2942644*j**3 + j**2*m**2 - 2*j*m**3 + 45*j*m**2 - 3*j*m - 137*m**3 + 23*m**2 wrt j?\nAnswer: -6*m**3 + 12*m - 17655864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 76273825 - 76273825.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 229 - 724. Suppose c - 158 = -z, 2*c + 6*z - 298 = 10*z. Calculate the remainder when p is divided by ((-56)\/(-5))\/(62\/c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 2251?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*k - 1 = -11, -2*k = 5*f - 35. Let p = -144.9 + 152. Let z = -7 + p. What is the closest to z in 1, -1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from kuuogouukkuuucuuoug.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v + 70 + 3374 = -36*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 58*h**2 + 10399*h - 1150. Give l(135).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21\/5, 4\/3 in ascending order.\nAnswer: -1, 4\/3, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149672811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2701 and 16.\nAnswer: -43216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 65*h - 150.\nAnswer: -5*(h - 10)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let j(n) = -101*n**2 + 3*n + 5. Let i(m) = -j(m) - 3*q(m). What is the remainder when i(-1) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1538 = -3*c + 868, 0 = -2*q + c + 958. Is q a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14764309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -32*a**2 - 3*a - 66. Suppose -43*h + 20 = -47*h. Let z(v) = 64*v**2 + 5*v + 132. Let w(t) = h*k(t) - 3*z(t). Differentiate w(c) wrt c.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + 4 + (-2*sqrt(98)*5 - (sqrt(98) - sqrt(98)*-2*1)) + 4)**2.\nAnswer: -1274*sqrt(2) + 16611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6512385 and 61245?\nAnswer: 19537155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (-826)\/63)*(-14 - -2 - -6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/30 + 2*h**5\/5 + 7*h**4\/6 + 49*h**2\/2 + 47*h. Let m(f) be the first derivative of z(f). Factor m(u).\nAnswer: -4*u*(u - 7)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 65 = 2*h. Let f = 100 - h. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 = 3*v, v - 26 = -2*a - 6. Let w = 15 - a. Let j(d) = -3*d**2 + w + 0*d - d**3 - 4*d**2 - d + 2*d**2. What is j(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239.0000002407 + 239. What is k rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 30351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38533*t - 106239 wrt t?\nAnswer: -38533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 163 = 82. Let k = j + 29. Let y(a) = 3*a - a**k - 9 - 12*a + 3*a. Determine y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 168.031\nAnswer: -1008.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 2}. Give prob of sequence dj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d - 18*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3031*y = 48332 - 418114 for y.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 20*j - 83. Determine i(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 442, 1032, 1846, 2878?\nAnswer: 4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10431824 to the power of 1\/2, to the nearest integer?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -19) + (-101728)\/6776.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 52 - p + 86 - 30)*(-897*p + 897*p - 29*p**2) to the form q*p + u + o*p**2 + t*p**4 + m*p**3 and give o.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/2718741 and -47\/318.\nAnswer: 5437482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 4*l + l + (0*l - 23*l + 5*l)*(3 - 3 + 1) - l - 3*l + 5*l + (-8 + 8 + 4*l)*(-3 + 4 - 2) as h*l + b and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*w = 80, 0 = 14*b + 4*w - 17 - 209 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -34. Let x = 11 + b. Let v = -1 - x. Sort 1\/2, v, -3 in increasing order.\nAnswer: -3, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961061917.\nAnswer: 269, 7290193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2 - -10)*40. Let b be (-4)\/6 + t\/24. Suppose 4*v + p - 11 = 11, 4*v + 4*p - b = 0. Solve -2*g = g + v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*j + 375*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 1274251.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401290137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 - 5. Let c be b(4). What is the third biggest value in c, 2, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -583 - -859. Let b = j - 115. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -16*l - 23. Give a(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 24551597 - 29*a - 49103193 - a**2 + 24551596.\nAnswer: -5*a**2 - 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6588 and -107\/55266.\nAnswer: 994788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2*w**2 + 2*w**2 - w + 3*w + 3.\nAnswer: 4*w**2 + 2*w - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 4.9 (b) -4 (c) 2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18. What is the remainder when 19 is divided by z*(-3 - 2)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68.84 and -1190.\nAnswer: -81919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 194?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -296*y. Let j(a) = -a**2. What is j(d(k))?\nAnswer: -87616*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1163\/63965)\/((6\/(-20))\/(-3)*-4).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11142.8 + -11162. Which is the smallest value? (a) 0.5 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-5) - 5947\/(-855).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18595 divided by -1.\nAnswer: -18595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-1948)\/(-648))\/(8\/(-16)). Let n = j - 25\/162. Which is the closest to -1\/3? (a) -0.4 (b) n (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 1. Let z(j) = -2*j - 3. Let x(b) = -23*b - 7. Let n(p) = x(p) + 2*z(p). Let i(o) = n(o) + 6*y(o). Calculate i(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, -1, -11 in increasing order.\nAnswer: -11, -1, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673064886 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose z*s - 2*q + 710 = 8*s, 0 = 5*q - 25. Let c(p) = 594*p - 8298. What is the remainder when s is divided by c(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = 84. Let m be (-2)\/3*27\/i. Let r = 310 + -308. Is m <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -174. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 89 = p + 359, -4*p = -2*k + 282. Suppose -k = -13*h + 5. Let t = 3 + -2. Solve -14 - t = -4*v - s, -v + 5*s = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/7 + 62595*t**2\/7 = 0 for t.\nAnswer: 0, 20865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84399238 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, z: 4}. Give prob of picking 1 y and 2 z.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 12, -7*k + 10*k - 4*m = 6. Let t = -4.91 + -0.09. Which is the fourth biggest value? (a) k (b) 3 (c) t (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(1*-3))\/(12*(-39)\/2808)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 12*v**2 - 5*v - 366*v**2 + 342*v**2 + 11*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 341*c - 1608. What is the remainder when q(5) is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 5:30 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -251976 take away -3463?\nAnswer: -248513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -10) + 11 + (3 - 2)*-4. Is r >= 0.01107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -0.2, 1\/2, 75, 1, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:50 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3908664749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j + 3*n, 0 = -4*n - 48 + 56. Let p(w) be the third derivative of 0*w + j + 0*w**4 + 13\/30*w**5 - 25*w**2 + 11\/3*w**3. Differentiate p(r) wrt r.\nAnswer: 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288726.1 rounded to the nearest one hundred?\nAnswer: 288700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-4\/7)*t)*t*t*t\/t**(-10)*t*t**(1\/4)\/((t*(((t*t**(-5))\/t)\/t*t)\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(527\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*g + 421 + 2003 = 0, s = -5*g + 630. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000010 (base 2) to base 16\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 31*u + 181. What is the hundreds digit of g(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 2*l - 1. Suppose i - 13 = -7. Suppose i = 4*x + 14. Let d be j(x). Solve -4*p + 6 = -2*a, -a - 28 = d*p + 4*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(3 - 1 + 0)*(1 + 2*h - 1)*(-1 + 0 + 0) + 4*h - 3*h + 3*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2 - 7*w - 17. Is 7 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from ccklfnbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:33 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 18*v - 36. Determine r(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (13 - (9 - 6)) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10292*k + 287. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:57 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/101515 and -47\/50323?\nAnswer: 64665055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (144*49\/(-392))\/((-2)\/(-3))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297*q - 241*q - 212*q)*(-2*q**3 - q + q).\nAnswer: 312*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1004830.3 and 14?\nAnswer: 1004844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8846 + -37?\nAnswer: -8884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9487?\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14*7\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*t - 11 - 5 = 0, -2*o + 42 = t. Suppose -5*z - 17 = -w, -128*w = -130*w + 4*z + o. Let r(y) = y - 14. Calculate r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:38 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102292, -5, -11 in increasing order.\nAnswer: -102292, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 196176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 = 6*m. Suppose -3 = -h + m. Suppose -h*v + 39 = 4*j, -j + 5 = -5*v - 11. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - (-9)\/(-15). Let l = -50 - -47. Let h be 1 + (l - -4)*b. Which is smaller: -6\/13 or h?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 - 137 - (-4 + 2 + 32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((109\/763)\/(2\/(-525)))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8418 + 23*y**3 + 305*y + 18*y**3 + 3*y**3 - 960*y**2 - 8602 - 1493*y = 0 for y.\nAnswer: -1, -2\/11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**3 + 4*h + 1. What is the first derivative of j(v) wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800395.5 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -0.57, 1\/390, -0.3, 8, -34\/3?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(10)*2 + sqrt(10)) + -6*sqrt(20)\/sqrt(2) + sqrt(10))\/(-5*(sqrt(2) + -3*sqrt(2) + sqrt(2))*-6).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 97. Let m(w) = -6*w - 26. What is the remainder when o is divided by m(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55087 divided by -4?\nAnswer: 55087\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and 0.2266758876.\nAnswer: 0.2966758876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 35*z**2 - 280*z + 660.\nAnswer: 5*(z - 11)*(z - 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 67\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 27177.\nAnswer: 13588.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m - 3. Let j(w) = 6*w + 3. Suppose 0 = z + 5*n - 2*n - 4, -2*z - 4*n = -2. Give z*j(x) - 4*d(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0*a = -a, 3*a + 8 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1159, -2304, -3447, -4588, -5727, -6864?\n\"Answer: v**2 - 1148*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**3*d\/(d\/(d\/(d*d\/(d\/(d\/(d*d\/(d\/d**14*d))*d*d)*d)*d*d))) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bezgw. Give prob of sequence zw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 13*o**3\/2 + 42*o. Let t(z) = 8*z. Calculate t(m(b)).\nAnswer: 312*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 9 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 9*w - 8. Let m be v(-6). Let y be (4\/m)\/(6\/720). Let b = y + -24. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 - 28651389*j = 0.\nAnswer: -9550463, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 1544643*u. Let d(j) = j. Determine b(d(h)).\nAnswer: 10*h**2 - 1544643*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110100 (base 2) to base 6.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + 23*d**2 - 15*d - 17. What is f(-9)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 265292 and 265274 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 100355?\nAnswer: -100367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.4 less than -150919?\nAnswer: -151071.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 55.51?\nAnswer: -333.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - 0 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 7*t + 55 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415882 = 42*v - 1457440. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 10. Let g(b) = 4*b - 1. Let z be g(7). Suppose -q - 5*x - z = 0, 4*x = -q + 1 - 24. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:02 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/3 + 1*-14. Let s = 27 + w. What is the third derivative of s*c**5 - 227 - 21*c**2 + 227 wrt c?\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l**2 + 7*l - 2. Let v = 1949 + -1956. Let d(g) = 5*g**2 - 4*g + 1. Calculate v*d(w) - 4*r(w).\nAnswer: 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6662.84588 rounded to one decimal place?\nAnswer: 6662.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-7) + (12 - 9\/1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.106 and -1.5.\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * -33\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 344*r - 351*r. Sort r, -0.4, -167, -1 in decreasing order.\nAnswer: -0.4, -1, r, -167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 253133920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 12216*z**2 + 32116224*z + 32745660416.\nAnswer: (z - 6496)**2*(z + 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -29. Let a(k) = -3*k**3 + k**2 - k + 1. Let o be a(w). Let z = 1 - 1.5. Put -0.6, z, o in increasing order.\nAnswer: o, -0.6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**5*x)**(2\/15)*(x*(x*x**(-8)*x)\/x*x*x)**(-4) assuming x is positive.\nAnswer: x**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -7*s**4\/8 - 3*s**3\/2 + 12*s**2 + 3*s. Let o(l) be the first derivative of v(l). Find the first derivative of o(x) wrt x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 plus -134.97?\nAnswer: -135.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68486*j**2 + 68492*j**2 - 136973*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 2. Let h be j(4). Let y be 4*(4 - 26\/6) - (6 + -8). Let c = 0 + 0.1. Put y, h, c in descending order.\nAnswer: y, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799 + 3613 = 21*n. Suppose -2*m + 3*q + 1434 = 0, -5*q + 851 - n = m. List the prime factors of m.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 908\/36 - (-2)\/(-9). Suppose -o = -5*d + 2*o + h, -50 = -5*d - 2*o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32 - (9 - (8\/(-2) - -6)). Solve 3*m - 5*w + x = 0, -4*w + 13 + 15 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1228, 5433, 12444, 22261, 34884, 50313, 68548?\nAnswer: 89589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 213 - -3?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-24) + 559\/4. Let t = -52 + i. Let j = 151 - t. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -5)\/(-1 + 0). List the prime factors of ((-1 - a) + 2)\/(2\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -4*a - 130, 2*a + 8 = -18*p + 21*p. Put -1\/4, a, 127 in decreasing order.\nAnswer: 127, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10)\/((q\/((q\/((q*q\/q**(2\/13))\/q))\/q))\/q))\/(q\/(q**(-2\/9)*q))**(1\/16))**(-4\/9) assuming q is positive.\nAnswer: q**(10165\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2109259194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c*c\/c**0)**30 assuming c is positive.\nAnswer: c**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -249\/397337?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*g**4*t + 9*g**4 - 39*t - 20 wrt g?\nAnswer: -460*g**3*t + 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 75\/(-27)) + (-40)\/(-18). Suppose -x*h = -92 - 96. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -242, -10, 3 in ascending order.\nAnswer: -242, -11, -10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + -7 + 10 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) -53 (c) -108 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92, 91, 88, 83, 76, 67, 56?\n\"Answer: -p**2 + 2*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135939.\nAnswer: 3, 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 37 + 158. Let d = f + -38. Sort 5, d, 0.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 7*a**2 - a + 17. Let t be g(7). Suppose 18 = 7*r - t. Let z(q) = q**2 - 2*q - 4. Give z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -72 - 50 - 18*j + 223 + 18*j - 6*j. Calculate b(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-3264)\/(-288)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Suppose 3*i + 2 + m = 0. Let y be 37 + i\/((-2)\/(-4)). Solve 33 = -5*z - 0*u - 2*u, -3*z - 5*u - y = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5123 by 89.\nAnswer: -5123\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/(-60)*3 - (-1)\/(-5). Let p(q) = -q**2 + q - 2. Determine p(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) 1 (c) -1\/3 (d) 522 (e) -1\/11 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*x**2 + 24*x**2 - 7*x**2 + (-2 + 2 + x)*(-4*x - 4*x + 6*x) + x - x - x**2)*(4*x + 0*x - 6*x).\nAnswer: -90*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 3:36 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20))**(-9)\/((b\/(b*(((b\/(b**(12\/5)\/b))\/b)\/b*b)\/b))\/((b\/((b*b**(-27))\/b))\/b)))**17 assuming b is positive.\nAnswer: b**(17391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 213553?\nAnswer: 213553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(5) + 4.\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -172, -215, -296, -427?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 - 2*p**2 + 0*p**2)*(-3 + p + 4 + 0)*(0 + 2 - 1) - 2*p**2 + 2*p**2 - 3*p**3 as o + l*p**3 + v*p + i*p**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*y = -5*r + 115, 2*r - 3*y = 31. Factor -16 + r + 3*h**2 - 4*h - 2*h**2.\nAnswer: (h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2237000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-15)\/9)*3. Let o be a\/(-20) + 30\/8. Solve -2*s = -4*q - o + 18, 5*s = 2*q - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 7. Let p = i + -1. Suppose -5*u + 9*m + 5 = 4*m, 3*u = -m + 7. What is the nearest to 2 in p, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -697 (base 14) to base 3\nAnswer: -1210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2 (c) -6 (d) 46 (e) 2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -522.97 - 25.53. What is y rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - k**4\/4 + k**3\/3 + 8*k**2 + 92. Let r be (5 + -4)*(-8 - -2). Give m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 3. Suppose 0 = -0*p + 5*p - 25, 2*i - 3*p = 25. Let l be ((-16)\/i)\/(2\/(-15)). Let w(m) = 1 + 0 - m + 0. Calculate l*w(x) - 2*d(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7205.5 - -782.8177\nAnswer: -6422.6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21048586 is divided by 3508096.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*w - 586, -w - w = -4*o - 592. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68600 is divided by 3811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(4)) + (sqrt(13) - sqrt(325)*-2) + -5.\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 2, -2, -1.\nAnswer: -2, -1, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((4\/6)\/1)\/(4 - (-164)\/(-42)). Let f(r) = -11*r + 65. What is f(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9634333.9 rounded to the nearest 1000?\nAnswer: -9634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -94912 greater than or equal to -94911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3876849 minus 1?\nAnswer: 2.3876849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -300733?\nAnswer: -300734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**3 - 4*r**2 + 5. Let s be (3*(-4)\/(-18))\/(4\/24). Let v(p) = 8*p**3 - 3*p**2 + 4. Let j(k) = s*v(k) - 3*t(k). Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -364, -732, -1102, -1474, -1848, -2224?\n\"Answer: -w**2 - 365*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 937\/9 + -100. What is the common denominator of x and 5 + (-2)\/6 + (-25)\/(-270)*-26?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:35 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2462 (base 11) to base 12\nAnswer: -1a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 950887411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**2 - 7482*j + 82. Let v(d) = 5*d**2 - 2494*d + 29. Determine -6*k(c) + 17*v(c).\nAnswer: c**2 + 2494*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 12205, 7\/3, -0.1 in descending order.\nAnswer: 12205, 7, 7\/3, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + o**2 - o. Let j = 22 + -21. Give x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32752999 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -125, -184, -267?\n\"Answer: -12*c**2 + c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290315488266 less than 80?\nAnswer: 1290315488346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632*t = 872*t - 1222*t + 268380 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 6. Suppose -4*f = f + t*r - 1999992, 4*f = -2*r + 1599992. What is f rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4087\/95787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 9 + 23 + 2*y. Let l be f(9). Let w = 20 - l. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 12442884107026.\nAnswer: -12442884107025.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 173936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h - 45 + 24 - 43 + 67*h + 64.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008490755?\nAnswer: 3, 5, 267232717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32659.\nAnswer: 11, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 5)\/(2\/(-2)). Suppose -y*q + 28 = 2*q. What is the remainder when -2*((-11)\/2 - 1) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5082 and 42?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b**2 + 0*b**2)*(414*b - 157*b + 109*b).\nAnswer: -732*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d8534a (base 16) in base 3?\nAnswer: 222200021022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -6) + (-1 - 2) + -3. Let g(y) = 5*y**2 + 37*y - 20. Let o be g(l). Factor 32\/3*p**2 + 0 + 2\/3*p**o + 14\/3*p**3 + 8*p.\nAnswer: 2*p*(p + 2)**2*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + i + 1, -3*i + 13 = -x - 0*i. Suppose 3*g + 0*g = -12. Are g and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101110100111001 (base 2) to base 15.\nAnswer: 262e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 113 = -206 + 104 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 2279.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20688744 - -10948744. What is t rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5166736 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 + 212. What is the greatest common factor of m and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 52. Let x be 18\/12 - (6\/d)\/(-3). Is (-7 - -5 - -980) + 1\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891299 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.87 + -0.13. Let j = 14 + f. Let l = j + -6. What is the second smallest value in l, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -40421?\nAnswer: 40423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -36*h**2 - 1. Let b(u) = -2*u. Give b(q(x)).\nAnswer: 72*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 60*s**2 - 43*s - 202. What are the prime factors of w(-61)?\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*d**3 + 170*d**3 - 61*d**3.\nAnswer: 794*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**3 - 10*a**2 + 45*a - 183. Calculate u(5).\nAnswer: -1208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/24 + 18*g**2. Let i(o) = -5*o + 4. Let t be i(0). Let d(x) = 6*x - 2. What is t*f(a) + d(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5331535*v**2 + 7316630*v wrt v.\nAnswer: -10663070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**3\/6 - 4*z**2. Let x(f) = -2*f**2 + 2*f - 7. Determine 6*w(u) - x(u).\nAnswer: 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -38*g + 96. Let h be (2\/4)\/((-5)\/(-50)). Suppose -h*x - 50 = -2*y, -4*x - 5*y + 17 = -3*x. Sort g, -4, x in descending order.\nAnswer: g, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 10*n + 95. Let a be n*(3 - (-1 - 1)). Let q = a - -73. Which is greater: q or -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22658846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -569723.\nAnswer: 1\/569723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3991000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:31 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.09. Let p = x - -0.41. Let f = -5 - -4. What is the third smallest value in f, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n - 4 = 0. Let y be (-1)\/(-1)*n\/8. Put -0.5, y, 0 in decreasing order.\nAnswer: 0, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/(a\/a**6))\/a)*a**(-14))\/(a\/(a**(-14)*a)*a**3*a))**(3\/7))**17 assuming a is positive.\nAnswer: a**(-1836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6361, 12701, 19051, 25417, 31805, 38221?\n\"Answer: m**3 - m**2 + 6336*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 3*t + 5. What is f(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by -345.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44917 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7097022 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 12. Let t be x(-6). Suppose t = 2*q + 2*c - 8, c + 18 = 3*q - 2*c. Solve 5*y = q - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/((-4)\/52). Let v(i) = 17*i + 36. Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/7)\/(p\/p**5))**(-45))**(-1\/41) assuming p is positive.\nAnswer: p**(1395\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:22 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*b + 40 - 201 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 61. Let x = z - -22. Let k = -240 + 240.8. Which is the closest to x? (a) 4 (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, 368, 1507, 3704, 7307, 12664?\nAnswer: 20123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381247*b**2*h + 315091*b**2 with respect to h.\nAnswer: 381247*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 3048 = -2968 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/9, 1905, 0.002, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(3\/14)*s*s\/(s**19*s)*s)\/((s**(-2\/29)*s)\/(s*s**(4\/7))) assuming s is positive.\nAnswer: s**(-5743\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 2 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858864.\nAnswer: 2, 197, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z + 3. Let r(n) = -3*n + 1. Let j be (-24)\/(-10)*(154\/(-28) - -3). Give j*q(x) + 17*r(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/2299?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -12. Let r be 58\/44 + o\/(-8). Let b(j) = j**3 + 7*j**2 - 1. Let g be b(-7). Is r <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 96. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.5 - 50.9. Let h = k + 17.2. Let r = h - -11. What is r rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5967610 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**3 + 0*j**6 + 0 + 0*j**7 - j**2 + 1\/3*j**4 + 0*j + 0*j**5 + 1\/84*j**8. What is the second derivative of t(w) wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2435 * -980.\nAnswer: -2386300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -1)\/(3\/52). Suppose -6*v - 11 = -29. Suppose v*w - r = -w. What is the remainder when 38 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - f + 54 = 2061, -p = 6*f - 533. What is the remainder when p is divided by 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 17*z = 188. Let r = z - -67. Solve -k + 4 = 0, 3*k - r = 4*d - 2*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 174, 490, 852, 1260, 1714, 2214?\n\"Answer: 23*z**2 + 247*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -o + 14*o. Let b(z) = -z - 1. Let t be b(-3). Suppose t*u = -u. Solve -5*q - 15 = u, -q - o = -v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 13)*(-2*v + 2*v - v)*(0 + 1 - 2)*(-1 + 2 - 7)*(-4*v**2 + 0*v**2 + v**2) to the form h + a*v**3 + z*v + j*v**2 and give a.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g - 41. Let z be 36\/(-24)*4\/(-3). Suppose -5*d + 88 - 23 = -3*x, 5*d + 35 = -z*x. Is 61 a factor of v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 5. Let j be k(5). Suppose 12 = 3*i - j*i. Let t = i - 5. Let q(b) = -2*b. What is q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 351?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950 - 950 + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 950\/(-95)*(-1)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -215, 5, -1021434 in decreasing order.\nAnswer: 5, -215, -1021434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -5 - (-3)\/(-3). Let v be -2*(-2)\/l*-94. Let u = v - 33. What is the remainder when 27 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413229.\nAnswer: 3, 137743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674220 divided by 6.\nAnswer: -112370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 15 + 15)*(-j - 3*j + 2*j) - j**2 + 2*j**2 + j**2 + (6 + 4 + 5)*(0*j**2 - 6*j**2 + 3*j**2) + (-4*j + 3*j + 3*j)*(3*j - 2*j - 2*j).\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/21 + 8*p**5\/35 + 5*p**4\/14 + 4*p**3\/21 - 32. Factor d(k).\nAnswer: 2*k**2*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaddaaadddaaaaaa.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(2 - 2*t - 2) + 0*t - 4*t - 3*t)*(4 + 1 - 4 + t).\nAnswer: -5*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 69. Let m be g(14). Let y(c) = -9*c - 6. Let v be y(m). Solve j + v*j - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657395 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 24*u - 17. Let i be f(10). What is the greatest common factor of i and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5049 and 7667?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 18 = 4*o - 12*o + 5*o + 7*z + 3*z, 0 = -5*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (sqrt(448) + -2*(-2 + sqrt(448)) - sqrt(448))) - (((2*(sqrt(448) + 0))**2 - sqrt(448)) + 0 + 3)) + 3.\nAnswer: -1798 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3409232\/19 or 179433?\nAnswer: 179433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from wtetttttttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-141)\/(-27) - 4\/18. Find the second derivative of -2*u**t + u + 7*u**5 - 6*u**5 wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1631 - 191128223.\nAnswer: -191126592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2739 - 1378. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7)*b*b*b\/b**(4\/9))**(2\/139)\/((b**(-1\/4)*b)**(-7\/6)\/(b\/b**(-1\/3))**26) assuming b is positive.\nAnswer: b**(2493779\/70056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/5 - 6*o**4 + 58*o**3\/5 + 414*o**2\/5 + 324*o\/5 = 0. Calculate o.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 831.3679l?\nAnswer: 831367.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q - 1. Let b(n) = 9*n + 1. Let a(z) = 5*b(z) + 8*c(z). Let t be a(-2). Let p be 20*4\/12*t. Solve -3*y + 14 + 1 = 4*o, -4*y = o - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(-8 + 3 - 9) - 2*h - h + 2*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from rrtrraavtrrrrtvr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (57\/6 - 4). What is the closest to 1\/6 in 4, f, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92558 + 17308387\/187. Find the common denominator of -27\/289 and p.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11878028 divided by 177284?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3803674 grams in kilograms?\nAnswer: 0.0003803674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5982 + 6.5982. Let f = 234\/5 - 47. Sort 1, r, f in decreasing order.\nAnswer: r, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.1. Let m = -4.2 + 4. Let h = 4.97 + 0.03. Which is the closest to v? (a) -3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**7\/35 - v**6\/60 - v**4\/12 + 7*v**3 + 13*v**2. What is the second derivative of d(k) wrt k?\nAnswer: 72*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917914976 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + ((-2238)\/(-14))\/3. Let i = -55 + h. Let v = 10 + -9.8. Which is the second biggest value? (a) v (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) 0.3 (c) 9.38 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, -6\/191.\nAnswer: -5, -6\/191, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 62*r + 10. Let j(z) be the first derivative of -z**3\/3 - z**2\/2 + 2*z - 49. Let u(q) = -5*j(q) + m(q). Let k(s) = -2*s. Determine u(k(c)).\nAnswer: 8*c**2 - 134*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 + 5*y - 2. Determine f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28347*k**3 + 3*k**2 - 159326*k?\nAnswer: -170082*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2536000 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -426454*q - 37954399. What is z(-89)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10242089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 7 (b) 0.101 (c) -5 (d) 3\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -5\/4, -3, 2 in descending order.\nAnswer: 32, 2, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 386*m**4 - 141*m**4 - 57*m**4 - 7*m**4 + 36*m - 36*m + (3*m**2 - m**2 - m**2)*(2*m**2 + 2*m - 2*m).\nAnswer: 183*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36537866, -36537854, -36537842, -36537830, -36537818?\nAnswer: -36537806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1232029\/906154026 + -34\/30183. Let y = 3288319\/3902860 - r. Let q = 6\/65 - y. Sort -5, q, 0 in decreasing order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3))\/r*r*r)\/(r\/r**(-16))*(r*r**1)**(-10) assuming r is positive.\nAnswer: r**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13095, 12321, 11525, 10707, 9867?\n\"Answer: -11*l**2 - 741*l + 13847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8846*(6 + 13\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(19) - sqrt(95)\/sqrt(5)) - (sqrt(684) + -1))*3.\nAnswer: -18*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 6}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -450, -886, -1322, -1758, -2194?\n\"Answer: -436*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 19. Let a be (44\/33)\/(x\/9). Solve 2*b + 0*b + 14 = -a*d, 0 = 5*b - d + 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 15*f + 1. Let r be m(-15). Let s be (5\/15)\/(r\/3). Which is the smallest value? (a) 4 (b) 4\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7384*b + 41 = -7286*b - 155 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41326121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:32 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.6 - 42.6. What is the second biggest value in 2\/5, d, 27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -53)*3\/(-9) + (-24)\/(-10)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -50302?\nAnswer: -1156946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2 + 568*q + 8913. Calculate t(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.86119 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 3*y + 182. Let a(p) = p**2 - 3*p - 155. Let g(s) = -6*a(s) - 5*m(s). Determine g(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 75950.\nAnswer: 151900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529910 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5824*m**2 + 11649*m**2 + 5189*m**2 + 5667*m**2.\nAnswer: 16681*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/6 + 835*k. Let b(o) = 2*o - 65. Determine h(b(r)).\nAnswer: 8*r**2 - 520*r + 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-24)*6 - (12 - 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from knkxkkxxgskxnkn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-4*(sqrt(3) + -1) + -3 - (-1*sqrt(2541) + sqrt(21))\/(sqrt(70)\/(sqrt(10)*-2)))*-5)**2.\nAnswer: -46200*sqrt(3) + 156225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 57761984?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8290697 is divided by 2729.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 3. Let d(v) = 1. Let s = 7 + -4. Let f(k) = s*d(k) - g(k). Let p be (-9)\/(-12) - (-1)\/4. What is f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Let v = t - -1. What is the second biggest value in 3, v, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901*w - 118142 = -920*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431933913.\nAnswer: 47, 53, 103, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000132145399 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.2 - -11. What is the nearest to 2 in -1, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-21))\/(14\/(-49)). Suppose 5*r + 2*a - 267 = -a, 3*r + a - 161 = 0. What is the greatest common divisor of d and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3257*x**4 + 1670*x - 21341466 wrt x.\nAnswer: -13028*x**3 + 1670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 568.6 and -57.\nAnswer: -32410.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 + -271. Suppose -18 = h - 0*h. Let b = h - -28. Calculate the remainder when l is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-22) - (-1 - -2). Let t = -2.9 + 3. Let y = 172974 + -172968. What is the second biggest value in y, -5\/4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285029351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/35 + (-1)\/7. Suppose 0*q = 4*q. Is f at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43223264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -28*j**4 - 316*j**3 + 57032*j**2 + 1251120*j + 352800 = 0.\nAnswer: -30, -2\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.723061 to 3 decimal places.\nAnswer: -2.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3 (base 16) in base 6?\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 28. Let d = x + -12. Is (d\/(-10))\/(1\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -323217, -1, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:51 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - n = -22, -3*w - 5*n = 23 - 89 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*h**6 - 10240*h**4 + 3*h**2 + 752875*h.\nAnswer: -7320*h**3 - 245760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 5*n + 3*n**2 + 13\/2*n**3 + 12 - 18*n**4 - 41\/5*n**6 + 3\/2*n**7 + 177\/10*n**5. Factor h(k).\nAnswer: 3*(k - 1)**4*(21*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9 + 0*r**3 - 4\/9*r**4 + 0*r + 8\/9*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocpca. Give prob of sequence cpoc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcwibcfcffckbccffk. Give prob of picking 1 b, 1 k, and 1 w.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002472 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(30)\/sqrt(5))\/sqrt(3) + 5 - (3 + 4 + sqrt(18) + sqrt(2))).\nAnswer: 8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -1. Suppose -15 = -2*v - 1. Calculate the smallest common multiple of s and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gooouguvugggcu. What is prob of picking 3 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 5*m + 4*m)*(1385 + 2371 + 573)*(0*m + 2*m - m) as v + h*m + d*m**2 and give d.\nAnswer: 8658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1396, -667\/5, 2 in decreasing order.\nAnswer: 1396, 2, -667\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 0. Let m = 0 - i. Which is the nearest to m? (a) -3\/8 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**5\/20 - 3*a**4\/4 + a**3\/2 + 3*a**2\/2 - 9*a\/4 - 17. Factor h(s).\nAnswer: 3*(s - 3)*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002814 to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -20, 1, 306, 4, -3 in increasing order.\nAnswer: -20, -8, -4, -3, 1, 4, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/252 + (-3)\/(-9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52025023273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54798 and 9312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 179893804 to the nearest 10000.\nAnswer: 179890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430026 is divided by 17200?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - -5 - (17 - 10) - 17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -63 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -7 in ascending order.\nAnswer: -7, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:19 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 672, 1379, 2114, 2877?\n\"Answer: 14*u**2 + 665*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 3\/4*v**4 + 0 + v - 1\/2*v**3 + 0*v**2. Let f(o) = -4*o**2 + o. Give -5*f(x) - 2*p(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 242, 814, 1926, 3758, 6490, 10302?\n\"Answer: 30*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 286, 655, 1174, 1843?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1898, -1899, -1900, -1901, -1902?\n\"Answer: -x - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 3\/20*v**5 - 11\/6*v**3 + 0 + 0*v**2 + 0*v**4 - 11*v. Find the second derivative of g(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m + 3. What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 - -560. Suppose 11 + 8 = k - 5*w, -4*k - w + 13 = 0. Which is the nearest to 0.3? (a) k (b) o (c) -2\/33 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31746 - 31746 + 1483*v**3)*(0*v**2 - 2*v**2 + v**2) + 2*v**5 + 0*v**5 - 4*v**5.\nAnswer: -1485*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -6*y - 20. What is the remainder when 24 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1200\/13 - 14933\/156. Let o = -10\/401 + 52651\/4812. What is the common denominator of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432002 (base 5) to base 9\nAnswer: 45443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157526 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = t - 0*m - 0*m + 25, -5*t + m = -19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/108 and -53\/10026?\nAnswer: 60156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222.1 - -222. Let k be ((-32)\/84)\/(2\/39). Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {w: 3, y: 1, b: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.94 + -0.06. Let h = 7 + q. Let g be (1 - -1)*(-6)\/4. Which is the nearest to h? (a) 3\/7 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -883?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 6*10\/(-15). Let q(d) be the first derivative of 183*d**4\/4 - d**3\/3 + d**2\/2 - 2. Let a be q(x). Round a to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0 - 2*s - 7\/6*s**3 - 1\/12*s**4 - s**2. Let a be r(-3). Solve 0 = h - 3*y - 11, y - 4*y - a = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/24 - 24\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16*-2 - 88\/96?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*x = 520*x + 578*x + 202*x + 28500 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 40. Let k = a - 9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 2*h - 3*h)*(0 + 1 - 174*h**2 + 241*h**2) to the form b + m*h + t*h**2 + k*h**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/198778 and -31\/20.\nAnswer: 1987780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.08\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 3*m**2 - 4*m - 7. Calculate the remainder when 60 is divided by l(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(0 - 1) - -8. Suppose 0 = -3*k + h + 74, -y*k - 13 + 110 = -3*h. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3357.06 - 3357. What is the closest to 0 in 0.14, f, -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 32*v**3 + 28*v**2 + 14*v - 8. Let l(k) = 11*k**3 + 10*k**2 + 5*k - 3. What is -14*l(b) + 5*z(b)?\nAnswer: 6*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*c - 1318 - 970 = -267*c + 229*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13330 and 888770.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooobvbo. Give prob of picking 1 o and 2 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -24.09. Let w = -0.13 + s. Let x = w - -0.039968. What is x rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5976)\/372 + 8 - -8. Which is the smallest value? (a) 1 (b) g (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 10) in base 8?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232447603?\nAnswer: 7, 11, 113, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112111220 - -121?\nAnswer: -112111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0247, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 4338376.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6746602931*g + 6746602931*g - 117*g**2.\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = -p, 0*p + 6 = 2*z + 4*p. Put -5, z, -2 in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o**(-1\/4)*o)\/o*o))\/o))**2\/((o*o**(-14)*o)\/o*o**(-3\/7)) assuming o is positive.\nAnswer: o**(237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26481262 or 26481265?\nAnswer: 26481265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -45, -319, -5, 0 in increasing order.\nAnswer: -319, -45, -5, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4620\/(-840)*((2\/33)\/((-6)\/2151) + 5)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20195728 and 43\/1527408.\nAnswer: 181761552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsquuuusuqq. What is prob of sequence quq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -765\/8 + 195\/2. What is the common denominator of 61\/12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v**4 + 3404*v**3\/5 - 3860*v**2 + 1896*v\/5 = 0. What is v?\nAnswer: 0, 1\/10, 6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8291227.65 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxoj when four letters picked without replacement from tddxdxddojtxjdxt.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15855 = -5*w, -3*j - 3*w = 271 - 16126. Suppose 4*m + j = 5*p, -2*m = -p + 3236 - 595. What are the prime factors of m\/70*7*-1?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(1\/5)*f*f)\/f**(-2\/7))\/((f\/f**2)\/f**5))\/(((f**(-4)\/f)\/f**(-7))\/((f\/((f*f*(((f**(-5\/2)*f)\/f)\/f)\/f)\/f)*f)\/(f**(-3)*f))) assuming f is positive.\nAnswer: f**(1049\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 3*q**4 - 19*q**4)*(0 + 0 + 2) + (2*q**2 + 1 - 1 + 3*q)*(18*q**2 + q**2 - 9*q**2).\nAnswer: -14*q**4 + 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3\/5, -4, 3\/7, 0.01, -29.8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 3*r + 1 - 52*r**3 + 50*r**3 - 5*r**2 + 17. Is l(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 1, a: 1, e: 2}. What is prob of sequence ab?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*n**2 + 53*n**2 - 86*n**2 + (3*n - 3*n - 3*n)*(-3*n + 0 + 0).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139662*s**3 - 69839*s**3 - 69845*s**3.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 + 2*r**2)*(-6*r**2 - 2*r**2 + 0*r**2) + (-3*r + 3*r - r**2)*(0*r + 7*r - 3*r)*(-r + r - r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*p - 2154, -1103 = -p - 5*d + d. Suppose -5*f - 2*r + 1822 = 0, 17*f - 5*r - p = 14*f. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(4*a - 5*a + 7*a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:38 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4187 * 7.\nAnswer: 2.9309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3\/3 + 68. Let q(c) = 6*c - 2. Give q(j(r)).\nAnswer: 6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -67.\nAnswer: 207.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6254.418kg to tonnes.\nAnswer: 6.254418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i - 3*i)*((2*i + 0*i - i)*(i**2 + i**2 + i**2) + 3*i**3 + 4*i**3 - 4*i**3).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 13 + 58 - 170*k**2 - 14 - 18 - 13.\nAnswer: -170*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2780 and 26.\nAnswer: 36140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Suppose -j = 5*a + 23, n*j + 4*a + 58 = -j. Let s = -13 - j. Solve -s*h - 6 + 26 = 5*q, 8 = 2*h + 5*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1404 + 39800. Does 88 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10673070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 3805?\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/17 - 3410*c**3\/17 + 1688484*c**2\/17 - 190900160*c\/17 - 388581568\/17 = 0 for c.\nAnswer: -2, 163, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*l = -329*l - 53411 + 4509 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -0.3, -464?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 51, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, 1, -30, -863, 3 in increasing order.\nAnswer: -863, -30, 1, 3, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1117, -1126, -1113, -1066, -973, -822, -601, -298?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 30*s + 40. Let k be a(16). Suppose -3*q + 100 = 3*c - 2*c, -4*c - 144 = -5*q. What is the highest common divisor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*((-845)\/4056)\/(2\/8)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 245?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -124, -264, -460, -712, -1020?\n\"Answer: -28*a**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 134*k**2)*(4*k - 8*k - 3*k).\nAnswer: -938*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 - 4*f**3 + 7*f**2 + 10 - 3*f**2 + 8*f**2 - 5*f. Let t be u(-12). Suppose -2*x - g + t = 3*x, 4*x = 3*g + 37. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/42 + 3*l**3\/7 - 18*l**2\/7 - l + 63. Solve g(d) = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 108*k**3 + 1158*k**2 + 3868*k + 3936 = 0.\nAnswer: -41, -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/60273?\nAnswer: 2\/60273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-8 + -1)*53. Suppose -2 - s = -22*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 + 8 = 0. Let p(k) = 3*k**3 + 7*k**2 + 10*k + 15. Let o be p(-4). Let x be g\/o*-5 + 0. Sort -2\/7, 0, x.\nAnswer: -2\/7, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293637423?\nAnswer: 3, 97879141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 80*w - 67*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 0*a + 16*a**3 + 3*a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 21*l**5\/100 - 13*l**4\/10 + 2*l**3 + 12*l**2\/5 + 1244*l. Let p(v) = 0. What is v?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 = -11*g + 182*g + 3112 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(224))\/(sqrt(567)*1*2) + 0.\nAnswer: 40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -2\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9408 + 1270094\/135. Let a = 8\/27 + u. Let k = 63\/5 - 519\/40. What is the nearest to a in k, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 13*r**3 - 9*r.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:19 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 4, g: 2, l: 1, h: 7}. What is prob of sequence lo?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 819 divided by 117\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 times -4?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:03 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 20)*(-1)\/(-1). Let l = 24 + o. Suppose l*d = -2 + 17. Solve -4*w = 1 - d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) + (-4)\/(-6). Let l be 1 - 1\/x - -4. Suppose 5*v - 4*b - 9 = 6, 2*b + 25 = 5*v. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + q**3)*(9*q**2 - 4*q**2 - q**2) - 2947*q + 2*q**5 + 3*q**4 - 4 + 2947*q.\nAnswer: 6*q**5 + 3*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u + 35. Let x be w(-9). Sort x, -5, 1\/3 in increasing order.\nAnswer: -5, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 0*v)*(-1 + 1 + 2) + 3*v + 2 - 2 - 3*v + 4*v + 0*v - 1549 - 1678*v + 776 + 773.\nAnswer: -1672*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = -3*q + 312. Solve -118 + 40 = -q*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92769792 divided by -5798112.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36686 + -36688. Let i be (-1)\/7*2\/2. Which is the closest to -0.3? (a) i (b) s (c) 23 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g**2 + 35*g + 7. Let a(k) = -7*k**2 - 17*k - 3. Let r(x) = -7*a(x) - 3*b(x). What is the second derivative of r(j) wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 430*z**5 + 178627*z**4 - 2*z**3 + 566501751*z**2?\nAnswer: 25800*z**2 + 4287048*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 less than 1253?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + x + 647 - 636 = 0, 0 = -2*z - x + 13. Let p(k) = -31*k - 3. Let t be p(-2). Let g = t - z. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 78 = -2*g. Let o(s) = 8*s. Let i be o(-2). Let a = i - g. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53157*r**6 - r**2 - 90*r - 162.\nAnswer: -6378840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.958 - -10967705.\nAnswer: 10967703.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1549 + -1547. Which is the nearest to l? (a) 0 (b) -2\/9 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138, 452, 766, 1080, 1394?\n\"Answer: 314*d - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:38 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.984098ng?\nAnswer: 0.000000984098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 7\/108*k**4 + 0*k - 2*k**2 + 0 - 1\/27*k**3 + 13\/540*k**6 - 4\/945*k**7 - 1\/18*k**5. Find j, given that p(j) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 843 or 854?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 1638.\nAnswer: 29\/1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 93*c**2 + c. Let p(g) = 532*g**2 - g - 6769. Let y(q) = 4*d(q) - p(q). Find the first derivative of y(m) wrt m.\nAnswer: -320*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2295 and 7965.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -203111103 (base 4) to base 16\nAnswer: -23553","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1. Let b(c) = 13*c**2 - 5. Let s(l) = b(l) - 6*h(l). Find the first derivative of s(x) wrt x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*p**3*q*w - 14*p**3*w + 36*p**2*q*w + 6*p**2 - 22*w with respect to q.\nAnswer: -86*p**3*w + 36*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -14, -25, -38, -53, -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806073070 to the nearest integer?\nAnswer: 42498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1052508*a. Let p(w) = -6*w**2. Calculate u(p(q)).\nAnswer: -6315048*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**4 - i**3 - i**2 + i. Let k(l) = 2*l**3 + 29*l**2 - 2*l + 45. Let u(d) = -k(d) - 2*t(d). Find the first derivative of u(c) wrt c.\nAnswer: -8*c**3 - 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(-1)*6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -56. Solve x*u = 3*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256396240*4.\nAnswer: 1025584960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 30. Let k be h(-10). Suppose k = -109*i + 104*i + 835. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and 0.2183.\nAnswer: 0.56758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -29. Suppose -o = q*o + 4014. Let l = -183 - o. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b6 + -10?\nAnswer: 7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let c(h) = -4*h + 2*h + j*h**3 - 2 + h. Let z be c(2). Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149, 390, 631?\n\"Answer: 241*f - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -33*g + 50*g - 16*g. Let q(a) = -313*a**2. Calculate r(q(k)).\nAnswer: -313*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24491\/10 - 2453. What is the common denominator of (13\/104)\/(1\/67) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 24301397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021346543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**4\/4 - v**2 - v - 7. Let i be s(-1). Solve 0 - 3\/2*u**i + 3\/2*u**3 + 3\/2*u**2 - 3\/2*u = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -214, -3, 3, 1?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16280)\/(-330) - 70)\/(6\/(-9)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 117. Suppose -99 = 3*j - 3*m, 6*j = 8*j - 5*m + 81. Let y = j + p. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsss when four letters picked without replacement from ssssjsjsjjssj.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 133434\nAnswer: 11\/44478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 68*i - 5*i**3 - 9*i**2 + 2*i**3.\nAnswer: -3*i**3 - 9*i**2 + 68*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -80*k**3\/3 - 104*k**2 - k - 7. Let d(v) = -81*v - 105. Let y(j) = -5*d(j) + 2*i(j). Differentiate y(x) with respect to x.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-915)\/24 - 9945\/(-255)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106238*c**2 + 11*c**3 + 106238*c**2.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 153567, 121.\nAnswer: 2\/21, 121, 153567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*z + 24 + 21, -z = 3*w + 4. Let l = -11 + 15. Suppose 0 = l*d - 25 - z. Calculate the greatest common factor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2557\/3 + -853. Which is the second smallest value? (a) 2 (b) -6 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, -58\/11, -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1262*u**2 - 3*u - 5163. Determine k(0).\nAnswer: -5163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 29*h**3 + 85*h**2 - 4*h - 12. Calculate v(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6615135 millimeters to kilometers.\nAnswer: 0.0000006615135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 70 = 38. Suppose -214*l = -216*l - 108. Let b = v + l. Solve -2*z + 0*z + 10 = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81480536?\nAnswer: 2, 23, 442829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 bigger than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 275, 437, 635, 869, 1139, 1445?\nAnswer: 1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + 1727 + 376*f**2 - 3476 + 1751 + (f**2 - f**2 - 2*f**2)*(2*f**3 - f**3 + 0*f**3).\nAnswer: -f**5 + 376*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1752608 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1289200 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 167227463 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/(-4)*(3\/27 + 8\/9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + a)*((0*a + 0*a - 2*a)*(575*a**2 + 251545*a - 251545*a) + a**3 - 4*a**3 + 5*a**3).\nAnswer: -2296*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 2*m + 6 + 9 + 1 - m**4 + 7*m**3 - 29 + 11 to the form j*m**4 + n + s*m**3 + l*m + x*m**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 + 4*s + 4. Let o be g(-3). Let z be (2\/7)\/(o\/7). Suppose -4*f + 32 = -z*f. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 25. Let b(z) = -z - 1. Let q be b(k). Which is smaller: 13\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 1 + 1 + (-18*i + 43*i - 61*i)*(0 + 2 + 0))*(-7*i - 23 + 23).\nAnswer: 511*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2 + 20. Let t = -10 - r. Let p(g) = -g**2 - 7*g - 4. Let s(d) = -d - 1. Calculate t*p(a) - 5*s(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 12*i - 4. Let u = 8 - -4. Let b be o(u). Let w(h) = -2*h**2 - 4*h - 3. Determine w(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*d = -6, -4*d - 4 = -2*u + 4*u. Let y be (2\/4)\/(2\/4). Suppose -u = -m + y. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 24*w + 2170 = 0. Suppose -31*h + w = -17*h. Let p be (-1 - (-7)\/9)*-6. Which is the closest to -1? (a) h (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45438851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8821 is divided by 233?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2672 and 1\/2782?\nAnswer: 3716752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 1, b: 1, v: 1}. What is prob of picking 1 v, 1 g, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 1, s: 1, l: 1, b: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 144?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362521 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 24*u - 340. Is -34 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 50 (c) -2\/5 (d) 2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -101 (b) -0.03 (c) 0 (d) -9 (e) -225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2. Let a(f) = 47*f**2 + f. Calculate a(n(h)).\nAnswer: 4700*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 233 = 11*s. Let m = 26 + -17. What is the lowest common multiple of m and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 331, -10\/13, -6\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 8) to base 14\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -7*s + 184. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -219883 and 28.5.\nAnswer: -6266665.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 31, 11, -27, -89, -181, -309?\n\"Answer: -k**3 - k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 786747350.6 to the nearest ten thousand.\nAnswer: 786750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*3 + sqrt(17))*-4 + 3.\nAnswer: -88*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240605 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28166522?\nAnswer: 2, 379, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55615149?\nAnswer: 3, 6179461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2825*f + 1106*f = 1726*f - 220480 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10) + -1 + 7\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254746 is divided by 42365?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 4. Let r(t) = 1. Determine -2*o(q) + 6*r(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 0*o - 4*o - 25 = 0, 3*o + 13 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -1.3. Which is the nearest to -2? (a) 0.1 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 0.9875?\nAnswer: 50.0125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12512 divided by -5?\nAnswer: -12512\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 63117835.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9623897 or -9623932?\nAnswer: -9623897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*c - 55116 = -1624*c + 200*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 9}. Give prob of picking 3 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509272397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n - 9. Calculate y(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 28. Suppose 86 = -5*t + h*b, 0 = -2*t + b - 19 - 13. List the prime factors of 6\/(-21) - (1020\/t)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/62084 and -13\/95744?\nAnswer: 7946752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 5 = -5*a. Let b be (3\/(-2))\/(9\/(-132)). Suppose 0 = 7*u - b - 13. Calculate the least common multiple of a and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/3 - 76*p**5\/5 + 457*p**4\/2 - 1216*p**3 + 2304*p**2 + 375. Factor z(a).\nAnswer: 2*a*(a - 16)**2*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0223 - -50378525949\nAnswer: 50378525949.0223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12*(20 - 14)\/(-180) - (1 - (-317)\/(-5))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173476580?\nAnswer: 2, 5, 23, 377123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12 + 16 - 58*s - 157*s. Is t(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11185621 - 22203621. Round b to the nearest one hundred thousand.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + 4 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242249\/18 or 13457?\nAnswer: 13457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 25. Let l(s) = -16*s - m*s + 33*s. Let g(c) = -2434*c**2 + 7374*c**2 - 2457*c**2 - 2439*c**2. What is g(l(b))?\nAnswer: 176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u - 1)*(-7*u**2 + 12 - 12) + (-2*u + 2*u + 2*u)*(5 - 4 - 2)*(-8*u + 8*u - 9*u**2).\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2. Let b(t) = -7*t**3 + 10*t**2 + 11*t - 12. Let i(j) = b(j) + 2*l(j). Find d, given that i(d) = 0.\nAnswer: -1, 1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 4*k**2 - 5*k**3 - 60*k - 12*k**2 - 40 - 19*k**2.\nAnswer: -5*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 7*g - 3*g - 4*g + 4*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*(3 + (-10)\/3). Which is the second smallest value? (a) 0.4 (b) -20 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/518320 and 3\/568?\nAnswer: 36800720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -129. Let x = 0 + a. Suppose -4*k + n + 739 = 0, -k - 780*n = -784*n - 196. What is the remainder when k is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 - y**2)*(0*y**2 - 3*y**2 + y**2) - 2*y**4 + 2*y**4 - 2*y**4 - 2 - 3 + 3 + y**4 + (y**2 - y + y)*(0*y**2 - 7*y**2 + 3*y**2).\nAnswer: -7*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-66))\/(-3*(-1)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/191443 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.611605 microseconds in hours?\nAnswer: 0.0000000148921125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**2 + 6 + 0*m**4 - 3\/5*m**5 + 0*m**3 - 11*m. What is the derivative of o(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.42? (a) -0.1 (b) 1\/47 (c) 0.2 (d) -0.09 (e) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -29. Put -11, -2, -10, 0, g in descending order.\nAnswer: g, 0, -2, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Let s be (-55)\/f - (-27)\/36. Let u = s + 32. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 2364018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -776.14?\nAnswer: -776.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-6)*-6 - (2 - -1). Let s be 2*4 + (-4)\/(-4). Determine l, given that 4*l**2 - 20*l**2 - a - 1 - 20*l - s*l**2 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/58*(-8)\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 11*i - 50. Let j be k(15). Suppose 0*l = 5*l - 65. Let y = -9 + l. Solve z - 2*z = -y*o - 17, 2*o + j = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1908*m + 1908*m - 12*m**2 + (3 - 1 - 3)*(-46*m**2 - 34*m**2 - 10*m**2).\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.8 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*v**2*y - 14409*v**2 - 94*v*y - 6*v + 17827*y + 94 wrt y?\nAnswer: -8*v**2 - 94*v + 17827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/(7\/126*-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 46. Let n = 0.9 + 0.2. Let s = -0.6 + n. What is the nearest to d in 3, s, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 177 and -4.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105732.802 + -105838. Let d = 14515 - 14410. Let j = d + r. Round j to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 + 5 = 0. Let l = -5 - -38. Let z = -31 + l. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -43 + 99. Let g be 3\/(-2) - (-4 - s\/4). Let l(b) = -b - 1. Let u(i) = 6*i - 4. Let m(f) = g*u(f) + 4*l(f). Let z(d) = -2*d**2. Calculate m(z(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*c = -513*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4 = j. Suppose 2*h - 12 = 6*h + j*u, 4*u + 20 = 0. Solve k = -h*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*f**2 - 84*f**2 - 79*f**2 - 87*f**2 - 8.\nAnswer: -4*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 8*j + 21. Let q be d(-8). Suppose 3*a = -0*m + 2*m - 15, 0 = 3*m - 4*a - q. Solve 2*f - 2 = -2*i, m*i = -2*f + 1 + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2708 divide 220693708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -987*j**2 + 58134*j + 5857. Give d(59).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooozozzzz. What is prob of sequence zoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 2. Let i be h(-2). Solve 2 = -i*u - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 22743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = -7 + 79. What is the nearest to 3 in -5, 2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10179544?\nAnswer: 2, 1272443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*f + 2862, 5*o - 3843 = -2*f + 3291. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*r + 230 = 649*r. Solve 5*j = 4*z + 7, -14*j + r*j - 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 819122240 and 554.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 6*o + 0*o**2 + 6*o**2 + 13 - 5*o**2. Let w be x(8). Let m = w - 33. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let u(n) = -n**2 + 12*n + 11. Let m = 9 - 6. Suppose m*l - 3*b - 6 = 0, -2*l + b - 4*b + 4 = 0. Determine l*u(s) - 22*h(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21950 divided by -5\nAnswer: -4390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -61. Let r be 6\/3 + -6 - g\/(-10). What is the second biggest value in 5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 - 4*o - 6. Suppose h - 10 = l + 29, -5*l = -2*h + 63. Suppose -h*v + 42*v = 12. Give c(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -621*x + 2547. Determine w(4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/5472*48 + 4\/(56\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 145*r**2 + 2177*r - 49. Determine p(-17).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2509 + 0 = -3*m, 3*u + 12 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 14) to base 16\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620 and 20260?\nAnswer: 1641060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -2.5. Let j = -1841 - -1840.8. What is the second smallest value in j, -0.3, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 8. Let w(t) = t + 4. Let o be w(v). What is the nearest to -0.1 in 0.2, 2\/15, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbddbddddbd. Give prob of sequence ddbd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 24, -0.2, 1\/9 in descending order.\nAnswer: 24, 1, 1\/9, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**2 - q. Let r be v(1). Let w = r + 1. Let s = w + 3. Which is the second biggest value? (a) s (b) -4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r + 5 - 20 + 10. What are the prime factors of q(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + (-10 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:17 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Is 1890 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.2, -6259\/4, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjttixj. What is prob of sequence jix?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 7:41 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/24 - 2*d**2. Let b(y) be the second derivative of -2*y + 0 + 0*y**2 - 1\/3*y**4 + 0*y**3. What is b(t(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 8, 5, 0, -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from rerbpje?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -211121 (base 3) to base 5\nAnswer: -4420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2*(-8)\/40). Suppose -8*v = b - 4*v - 28, 4*b + 3*v = 138. Suppose 0 = -3*k - 0*g - n*g + b, 4*k - g - 71 = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 1769 = 3*l + 1668, -9*l - 5*q = -43 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-247*j + 55*j + 57*j)*(-5 + 2 + 2)*(-4 + 2 + 12) to the form h*j + w and give h.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 52788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 + 21*w**2 - 2*w + 76. Let k(x) = -x**3 + x - 25. What is -3*k(b) - v(b)?\nAnswer: -2*b**3 - 21*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let j be 2*(m + 1) - 3. Sort 5, 3, j in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**3 - 58701219 + t**3 + 58701217.\nAnswer: -36*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 + -3580 + ((-1)\/(-15)*(-1332)\/(-15) - 1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllillllliiillilll. Give prob of sequence liii.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 2. Let o be (6\/(-9))\/((-10)\/(-15)). Let m(s) be the first derivative of -s**2\/2 - 1. What is o*r(z) + 6*m(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-28))\/(3\/21). Suppose 0*l = l + j. Let h be l\/(-2)*5 - 3. Solve -3*q + h*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220110022121 (base 3) to base 4.\nAnswer: -1311201130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let y be o(5). Let v(w) = w**3 - 11*w**2 - 5*w + 9. Let h(k) = 6*k**2 + 3*k - 5. Give y*h(m) + 3*v(m).\nAnswer: 3*m**3 - 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 149355.\nAnswer: 1\/9957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (2 - 3) - (6 + (-8 - -11))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549712825?\nAnswer: 5, 21988513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let u(z) be the first derivative of 3*z - 2 + 0*z**2 - 2\/3*z**3. Let d(b) be the first derivative of u(b). What is y(d(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 850*i - 2891. What is b(4)?\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58\/10 + 2\/10. Let b(x) = -x**3 + 8*x**2 - 7*x + 4. Let u be b(q). Suppose h - u = -h. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:31 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1785, 3188, 5527, 8802, 13013, 18160?\nAnswer: 24243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/8780)\/((-1)\/(285\/6)) and -52\/9.\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 495 and 34887.\nAnswer: 5756355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:20 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(-4\/7)))**(4\/23)*(l**7\/l)\/(l*((l\/(l*l\/l**(-1\/7)))\/l)\/l*l) assuming l is positive.\nAnswer: l**(1110\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 2*s. Let p be 3\/6 - (-10)\/4. Sort -5, p, s in increasing order.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - m - 2. Suppose 2*i - 18 = -i - 3*s, -5*s - 6 = -4*i. Let z = -2 - -7. Suppose 3*x + 2*q = z*q + 12, 2*q + 8 = -i*x. Determine k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 15 + -38 + 19?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*r**2 + 11344*j**3 + 3561*j**2*r**3 wrt r?\nAnswer: -2*j**3*r + 10683*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-80)*20\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16556, 16540, 16530, 16526, 16528?\n\"Answer: 3*h**2 - 25*h + 16578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-7) + 24*2\/14. Suppose 0 = 2*i - 4*i + y - r, i = -3*y - 19. What is the closest to -1 in i, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -135 + 66 + -2 + -12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109 - -16) + 25 - -40?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 16*s = 140. Is 2\/(-1) + (-7)\/(s\/(-2020)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from sdmhhamja?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106a13 (base 11) to base 8.\nAnswer: -514425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*v - 5, 12*v = 5*m + 7*v + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(25) + -1*sqrt(3600) + sqrt(3600))*-1)\/(sqrt(15)\/sqrt(3)*6 + 1*sqrt(405) + sqrt(405)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 16411?\nAnswer: -16365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/sqrt(81) + 0 + (sqrt(7) - (-2*(-1 + sqrt(7)) - sqrt(7)))**2 + -4.\nAnswer: -47*sqrt(7)\/3 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(20\/5)*(-2 + -2). Let y be (-3)\/2 + ((-378)\/n)\/(-9). Suppose -4*d - y = -w, -4*d + 8 = -2*w + 30. What is the remainder when 25 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -93, -121, -129, -111, -61, 27, 159?\n\"Answer: r**3 + r**2 - 52*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12754 (base 12) to base 9\nAnswer: 37581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 2*m = 5*z + 6*m - 9780. Suppose -10*a - z + 24316 = 0. What is a rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177300191.\nAnswer: 17, 19, 31, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**3 + 30*f**2 + 22*f + 126. Let d(z) = -2*z**3 - 10*z**2 - 8*z - 42. Let l(b) = -11*d(b) - 4*g(b). What is the derivative of l(i) wrt i?\nAnswer: -6*i**2 - 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14748, 14825, 14940, 15093, 15284, 15513?\n\"Answer: 19*v**2 + 20*v + 14709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -2*g - 78. Let l(z) = -z**2 + 3*z + 18. Let n be l(g). Let p be (43 + -1)*2\/4 + n. What is the greatest common factor of p and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283154209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 194*o**2 - 248*o - 28122. Give n(196).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/5))\/(b\/(b**(1\/20)*b)*b)*b**9\/(b**(2\/19)\/b) assuming b is positive.\nAnswer: b**(3551\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*s, s = l - 5*l - 5. Solve 10*u - 14*u - 8 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -34. Suppose -d - 5 = -f, k*f - f - 55 = -d. Solve 5*l - f = 5*v, l = -v - 3 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -15. Let p(m) = -3*m**2 + 54*m + 1508. Calculate the remainder when p(-15) is divided by (2\/2)\/((-2)\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 1321298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 5*x**2 + 3*x + 8. Let l(b) = -11*b**3 - 11*b**2 - 7*b - 15. Let z(n) = 9*g(n) + 4*l(n). What are the prime factors of z(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 4*a = a - 5*i + 1, 4*i = -a - g. Let s = 15 - 10. What is the third smallest value in -1\/3, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*30\/(-132)*(-800)\/500\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223077386*l**2*t + 104*l*t - 2*l + 18867*t + 2 wrt l?\nAnswer: -446154772*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/3 - (5 - 8). Calculate the highest common factor of 18 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 4, t: 2, u: 3, h: 1, a: 1}. What is prob of picking 1 t, 1 n, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -2473, -3707, -4941, -6175?\nAnswer: -7409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:28 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -381*t - 14614. Calculate h(-38).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 + 879*n**4 - 5*n + 79 wrt n.\nAnswer: -20*n**3 + 10548*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + z**2 + 0*z**2 - z - 2*z**3 + 3*z**3 as x + i*z**2 + s*z**3 + u*z and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2300*a - 19 + a**2 + 17 - 3352*a.\nAnswer: a**2 - 5652*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**48)**(-10) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.47 and -472.\nAnswer: -1165.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -75, -156, -269, -414, -591?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/(-18) - (-13 - 57460\/(-612))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:06 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -720, -719, -720, -723, -728?\n\"Answer: -v**2 + 4*v - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.798743 to 3 decimal places.\nAnswer: 13.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foxfuffunfufffnufffu. Give prob of picking 1 n and 2 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 130 = -3*u - 4*m, -2*u + 5*m + 180 = 0. Factor -u*c - 97*c - 5*c**3 - 11 + 13 + 191*c - 8*c**2.\nAnswer: -(c + 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000967384 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/29 (b) 1\/3 (c) -88 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8945*-0.2.\nAnswer: -1789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from {i: 5, x: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**7\/105 - q**5\/60 - 3*q**2\/2 - 1. Let x(l) be the second derivative of v(l). What is the third derivative of x(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 4*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 84634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84384*i + 40642*i + 42075*i.\nAnswer: -1667*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c2 (base 16) to base 9.\nAnswer: -6211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(6\/18)\/((-4)\/(-6)). Suppose s = -3*p + 4*k + 29, 3*k = 2*p - 20 + 1. Calculate the highest common factor of 275 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((28\/49)\/(10\/7)). Let o(u) be the first derivative of k*u**2 + 2 - u**5 + 0*u**4 + 0*u**3 + 0*u. Find the second derivative of o(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 20 = 5*k - u, -5*u = -2*k + 8. What is the remainder when k is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -934764 (base 14) to base 6\nAnswer: -254252244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92\/35190*17*3*3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 - 3044020030?\nAnswer: -3044014332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 14*h + 19. Let n be v(8). Let p = -211 - -67. Let t be (2\/(-4))\/(3\/p). What is the greatest common factor of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -17*c**3 - 4*c**2 + c. Let w be n(-3). Let r = w + -292. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 9, -6*f = -2*f - 3*t - 29. Suppose -f*v + 10 = -0*v. Suppose 7*d - v*d = 70. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1554*o**2 - 40 - 60*o**4 - 325*o**3 + 2872*o**2 - 1593*o**2 + 250*o = 0 for o.\nAnswer: -4, -2, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795123 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 + -431?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170677643?\nAnswer: 170677643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77256\/19 <= 4066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/2)*c)**(-3\/22) assuming c is positive.\nAnswer: c**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:07 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35\/19, -0.3, -1, 0.015, 2\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10605 is divided by 1540?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2. Let w(v) = -52*v**2. Calculate w(k(m)).\nAnswer: -4212*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*q + 41, 13 = 5*j + 37*q - 40*q. Solve -5*u = j*p - 30, p = 4*p - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 5*t = -11, -5*n - 45 = 5*t. Let c = n - 13. Let s = c + 30. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 217\/5. Which is the closest to -1\/3? (a) -1 (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 16*r**2 + 7*r - 4. Let k be d(5). Suppose 3*p - k*p = -507. Calculate the remainder when p is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**5\/30 + w**4\/24 - w**2 - 1. Let y(x) be the second derivative of b(x). Find the second derivative of y(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + -0.12. Suppose -10*y - 71 = -91. Let x = 20\/7 - 72\/35. Sort x, c, y.\nAnswer: c, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 0\/(-6))*(-9)\/(-45)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460959137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -16. Let i = -5 + w. Suppose 2*m + y = 81, m + i*y + 15 = 58. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -234*t - 23. What are the prime factors of a(-4)?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252405575?\nAnswer: 3, 5, 107, 52021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b**2 + 169*b + 59. What is i(-8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-5103)\/54)\/(-63))\/2)\/((-3)\/232).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6588 = -3*x + 12*x. Suppose 0*w + 5*j + x = 3*w, 4*w - j = 959. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 1 + 9*o**2 - 1 - 2*o + 3*o - o**4 in the form m + h*o**4 + u*o**2 + v*o**3 + w*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 + 8*o - 7. Let h be s(6). Suppose -2*c = -h*c + 15. Solve -2*j = -3*j + c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1128.1 + 1124.6. Which is the smallest value? (a) -4 (b) l (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 177513, -2 in descending order.\nAnswer: 177513, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 99\/(-6)*(-2)\/3. Solve -r = r + c + z, 0 = -4*r + 4*c + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 - k + 2. Let f(c) = 2*c**3 - 5*c**2 - c + 4. Suppose 399*z - 42*z - 1785 = 0. Determine z*a(t) - 2*f(t).\nAnswer: t**3 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.89 - 1.09. Is -1\/3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -672*d - 10 + 343*d + 11 + 4*d**2 + d**3 + 333*d. Calculate n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**2 - 36*o - 3385 + 43*o + 3384 + (5*o + 0 + 0)*(-o - 4*o + 4*o)*(2 + 2 + 0) in the form b*o + r*o**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213055196 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*z - 42*z = 1238762 + 723262. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22061.84369 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by -2.\nAnswer: -495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 14*j - 179. Let t be y(8). What is the smallest value in 3, -2\/9, 1, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -602 - 522?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0 + 1\/2*v**4 + 1\/4*v**5 + 0*v**2 + 0*v**3 - 18*v. Find the third derivative of z(l) wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and 0.02825?\nAnswer: 1.83625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293167.9t in grams?\nAnswer: 293167900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19427 is divided by 3883.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 9*h + 4. Let d be j(-9). Suppose d*q - 2 = -6. Let n = 13 + q. Calculate the least common multiple of n and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1757 * -3.3\nAnswer: 5798.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69007455.\nAnswer: 3, 5, 11, 139409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 + 960*s + 76800 = 0.\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12 + 2*u - 12*u + 8*u - 3*u. Let r be w(1). Let a(q) = q**3 - 7*q**2 + 2*q + 5. Give a(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.75 and 0.216.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 374\/(2*(2\/(-12) - 0)). Let w = 91 - h. List the prime factors of w.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.8 + -29. Which is the nearest to -1? (a) -5 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - o = 31*u + 36473, -182350 = -5*u + 2*o. List the prime factors of u.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1411 - 1409. Solve 7*v - 3*t + 6 = 4*v, -4 = m*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -17*h**2 + 16*h + 11. Is 10 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**2*p**2*y**2 - l**2*y**3 + 2*l**2 + 5*l*p**2*y**3 + 113*l*y**3 - p**2*y**2 - 42*p**2*y wrt y.\nAnswer: -6*l**2 + 30*l*p**2 + 678*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/12)\/((1\/2)\/((-11)\/22)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)*(5 - -2). Suppose -2*x = 5*g - 18, 0*x = -x + 5*g + 24. Let s = q - x. Put -4, -2, s in increasing order.\nAnswer: -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 - 3*g + 1. Let y be w(2). Let q(a) = 9*a + a + 0*a + a**2 - y*a. What is q(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8076048g in nanograms?\nAnswer: 807604800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 - 7*t**2. Let i(p) = 6*p. What is i(a(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 226 * 63\nAnswer: 14238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 85*a + 592*a - 994*a - 3 as k + x*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 - l + 5. Let j(u) = -u**3 + u - 1. Let t(g) = 4*j(g) + x(g). Let r(i) = i + 1. Determine r(k) - t(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*t - 348*t**3 + 356*t.\nAnswer: -348*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -69 + -13 + 36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -82*a + 163*a + 4*a - 25*a**2 - 85*a. Let d(f) be the first derivative of -1\/2*f**2 + 1 + 0*f. Give d(g(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 482 = -3*g, 28*m - 31*m = -g - 734. Suppose 0 = -6*d + m + 44. What is the remainder when 238 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**2 + 20060*s + 13380.\nAnswer: -5*(s - 1338)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/6 - 0\/(-2). Solve -2*z - q - 5 = -0*q, m = z - 2*q + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*r - 42*r**3 - 2696*r**4 + 112*r**2 + 114*r**2 + 252 + 2699*r**4 - 31*r**2 = 0 for r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q + 0*q**2 + 5 - 5\/3*q**3. Let j(t) = 3*t. Give j(h(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -54\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 5*i - 2. Let u be (-46)\/(-14) + 4\/(-14). Calculate the smallest common multiple of z(u) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90560 and 5094?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -22*f. Let y(u) = -1298*u. Let c(n) = -176*j(n) + 3*y(n). Let l(t) = t. Give l(c(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + 2)\/22)\/(12\/24)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -60, -215, -516, -1011, -1748, -2775?\nAnswer: -4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*b + 1156 + 524. What is the lowest common multiple of b and 3112?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -7*p**2 + 57102*p + 743509 = 0.\nAnswer: -13, 57193\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/79, -0.08, 191\/17, 4?\nAnswer: 191\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951027.\nAnswer: 2951027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let n(i) = -11*i + 3 - 7*i - 1 + 12*i. Give j(n(k)).\nAnswer: -12*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 1, c: 2, b: 6, h: 6}. What is prob of sequence cg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(63))\/sqrt(7) - (1 + -1 + sqrt(27) + sqrt(27)).\nAnswer: -17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 12, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/7, 1457, 2\/11, 3, -0.0136?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Let a(k) = 316*k**2. Determine a(s(x)).\nAnswer: 5056*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 25 = 4*n. Suppose -n*g + 32 = 2*h - g, h = -3*g + 13. What is the least common multiple of h and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 67*f + 110 = 0. Solve -11*r + 0*r = f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 231902*g**2 + 100*g**3 - 231914*g**2 + 463816*g**2.\nAnswer: 100*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 165, 146, 125, 102, 77, 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179535 times 1?\nAnswer: 179535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-66)*6)\/(285\/(-456)*(-6)\/5).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15818362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 37\/4 (b) -3 (c) -17 (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016409051 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/7)\/(l**(-1\/5)\/l)*l**5*l\/l**8*((l*l*l*l*l**0)**(2\/39))**(-9) assuming l is positive.\nAnswer: l**(-814\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 - 58 = 0. Let d = 66 - j. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + -305?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2792, -5586, -8380, -11174, -13968, -16762?\nAnswer: -19556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028 greater than 13028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/2 + 11*b**4 - 355*b**3\/2 + 142*b**2 + 330*b = 0.\nAnswer: -33, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*l**3*r**3 + 339*l**3*r**2 - l**3 + 2*l**2*r**3 + 126482*r**3 wrt l.\nAnswer: 120*r**3 + 2034*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22*-1*(-3)\/(-6). Let h be -31 + 2 - 2\/(-2). Let f = 39 + h. Calculate the highest common factor of i and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6 + 1. List the prime factors of ((-95)\/10)\/(k\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47008, -47218, -47568, -48058, -48688, -49458, -50368?\nAnswer: -51418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -32*s**2 - s - 2. Let j be x(1). Let c = j + 47. What is the least common multiple of c and 470?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 7. Let v be c(-11). Let w = 32 - v. Solve -w*s = 4*a + 2*s - 26, 5*a - s = 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -1, 45 in decreasing order.\nAnswer: 45, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Which is the third biggest value? (a) 1 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - (-6 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**11\/u*u))\/u**3*(u\/u**(-1\/2))**(-8\/15) assuming u is positive.\nAnswer: u**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.7775 months to years.\nAnswer: 21.398125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/7 + 6584*w + 184336\/7 = 0.\nAnswer: -46084, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 + 35424*f**2\/11 - 156822042*f\/11 - 313785796\/11.\nAnswer: -2*(f - 8857)**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/5 - -49\/5. Let y be (749\/(-56))\/(2\/(-162)). Let a = y + -1079. Find the common denominator of z and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25812192 - -63207945. Let l = u - 37395801.00000125. Let a = -48 - l. What is a rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729507157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 12*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e59 (base 15) to base 2.\nAnswer: -110010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**3 - 7*q**2 + 4*q + 7. Let z(v) = 5*v**3 - 3*v**2 + 2*v + 3. Let c = 22 - 29. Calculate c*z(n) + 3*x(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1160, -3\/13, 1, -0.1?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 47*l**4\/24 + 11*l**3\/2 - 18*l**2. Is i(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23282341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 2*v**2 + v + 2. Let q be a(-1). Suppose 4*d + 10 = 3*z - q*d, 0 = -z + 2*d + 4. Suppose -z*m + m + 52 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 6. Determine y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*q - 64, -4*q = 8018 - 8082 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -52*l + 2. Let q(h) = 2012*h**2 + 1. Calculate i(q(j)).\nAnswer: -104624*j**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/6 (c) 6 (d) 1\/3 (e) -1627\/3 (f) -2\/3 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*i - 313*i - 60*i**4 - 12*i**4 + 199*i - 199*i + (-i + i + i**2)*(2*i**2 - 5*i**2 + 2*i**2) as r*i**2 + l*i**4 + p*i + y + g*i**3 and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 17. Let x = 13 - q. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*v**6 + v**5 + 4*v**3 + 89*v**2 - 2*v - 3.\nAnswer: 39600*v**3 + 60*v**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805 + -0.4118.\nAnswer: 1804.5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/5)*j*j*j*j**(-2)*j*(j*(j*j\/(j\/(j**3\/j)*j*j)*j)\/j)\/(j**(2\/9)\/j) assuming j is positive.\nAnswer: j**(251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 1.8. Let p = -6.381 - -4.3828. Let r = w - p. Round r to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -250. Suppose 5*t = t + k. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -19, -36, -71, -130, -219?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 38*x**2 + 12*x - 1. Let o(l) = -l**3 - 32*l**2 - 11*l + 3. Let u(z) = -6*a(z) - 7*o(z). What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7758.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471456?\nAnswer: 2, 61, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372\/3*(-2)\/(-4) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 8 + 6. Let a(p) = 5*p**2 + 4 + 2*p**2 - 2*p**m - 4*p**2 + 6*p. Suppose -z - 18 = 5*k - 0*k, 2*z = 4. Determine a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2.17.\nAnswer: 6.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 5:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27, 3, 1 in decreasing order.\nAnswer: 3, 1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344 + -344.1656. Let f = n + 0.16. Round f to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2474 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -u - 2*f + 4, -18 = 5*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 132*m**2. Let v(y) = -4*y**2 + 3*y. Let l(g) = -3*g**2 + 2*g. Let w = 20 + -24. Let f(j) = w*v(j) + 6*l(j). Give b(f(n)).\nAnswer: 528*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**2))\/b))**21\/((b*b**(-2\/7))\/b*b\/b**(-4\/7)) assuming b is positive.\nAnswer: b**(579\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 14157 = 14087 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 15 + 17. Let v be ((-528)\/28)\/(8\/(-28)). Suppose 0 + v = 11*x. What is the lowest common multiple of k and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 2001*b**4\/4 + 5018*b**3\/3 + 27*b**2 - 13*b - 10. What is the derivative of z(r) wrt r?\nAnswer: 12006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) 0.3 (c) -54 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.71 + 0.4. Let u = p + 2.41. Which is bigger: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9225752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Is 1239498\/858 - (-8)\/22 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 180886418, 180886411, 180886390, 180886349, 180886282, 180886183, 180886046, 180885865?\n\"Answer: -n**3 - n**2 + 3*n + 180886417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-162)\/(-16))\/(21\/(-28))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**2*g + 289528*a**2*r**3 + a*g*r**3 + 832*a*g*r + 2*a*r**3 + 2*a - 2*g*r + 24*g wrt a.\nAnswer: 24*g + 579056*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111900566*0.2\nAnswer: -22380113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:17 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4676.48 rounded to the nearest ten?\nAnswer: -4680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1287616 divided by -14632.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732 divided by 12.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 52 = 3*c + t, 3*c - 3*t = 36. Let p = 29 + -21. Calculate the highest common factor of c and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 11*i - 2. Solve 2*x - 12 = -5*j, 0 = 2*x + j - i - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.3 (b) -3\/2 (c) -4 (d) 4 (e) -0.112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-624)\/108)\/26)\/((-16)\/18))\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19602, -39206, -58810, -78414, -98018, -117622?\n\"Answer: -19604*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 39*l - 115. Calculate d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104404439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -3*d, 4*f - d + 12 = 3*d. Let t(z) = z**3 + 5*z**2 - z - 3. Let k be t(-5). Let p = -4 + k. Which is the biggest value? (a) p (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20057402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5982.8055 rounded to the nearest ten?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/140 + 2*z**3\/7 - 6*z**2. Find c, given that j(c) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19788 by 6.\nAnswer: -3298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188287, -184304, -180321, -176338, -172355?\n\"Answer: 3983*y - 192270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/14*232\/14210?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*s + 2021 + 50197, 13059 = o + 2*s. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450011, -450014, -450017, -450020, -450023?\nAnswer: -450026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1414*m + 71537. Calculate l(-50).\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -41, -51, -61?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 95683*r + 4588173. Determine p(48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 3*g**4\/2 - 3*g + 36. Let z(h) be the third derivative of 0*h**4 + 0*h - 3*h**2 + 0 + 0*h**3 - 1\/60*h**5. What is z(l(f))?\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.3. Let k = 1489 - 1492. Which is the second smallest value? (a) d (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - ((-3 - -7) + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 85*t - 1900. Determine m(-58).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796335 - 398201 - 398219 - 3*f**2.\nAnswer: -3*f**2 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + 17 - 8\/2. Let d(m) = m**3 - 12*m**2 + 34*m - 18. What is the units digit of d(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44300413 - -10?\nAnswer: 44300423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 9*a**2 + 3. Let d(t) be the first derivative of 3*t**4\/4 + 26*t**3\/3 - 9*t + 10082. Calculate 3*d(k) + 8*l(k).\nAnswer: k**3 + 6*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36676, -36758, -36840?\nAnswer: -36922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14303 (base 5) to base 10.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63326, 253309, 569954, 1013261?\n\"Answer: 63331*f**2 - 10*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-16)\/168)*2\/5. Which is bigger: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 + (1 - 1). Suppose l = -4*n + 13 + 27. Let c = 11 + -9. What is the smallest common multiple of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 54. Suppose x = -3*f + 6*f. What are the prime factors of (5 + -3 - f)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/8 + 118345*p\/4 - 14005539025\/8 = 0.\nAnswer: 118345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5 + 140*j**4 + 1240*j**3 + 3970*j**2 + 4755*j + 1890 = 0.\nAnswer: -14, -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 - 24*h - 73. Let q(g) = -g**2 + 6*g + 18. Let j(t) = 9*q(t) + 2*r(t). Let n be j(8). What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/144 - (-7609)\/6. Suppose -285 = 3*o - u. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 13*d**2 + 13*d - 3. Give u(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*w + 80 = 0, 2*b = 3*w + 2*w + 32. Let s be 8\/b*(1 - 4). Is s >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - o + 121 = 0, -3*p + 39 = -2*p + 2*o. Let i = -24 + p. Let t be ((-165)\/(-6))\/i + -2. Is t != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - 3. What is f(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/28033343 and -83\/11960?\nAnswer: 1121333720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 114 + 1\/2*w**2 + 8*w. What is c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-23\/2)\/(q**(3\/4)\/q*q\/(q*q\/q**(-3\/7)*q))*(q*(q**4*q)\/q*q\/(q*q**(3\/4))*q)\/(q**(2\/5)\/q*q**2) assuming q is positive.\nAnswer: q**(1023\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 21*i**4\/4 - 32*i**3 + 174*i**2\/7 - 48*i\/7 + 5. Let y(n) = 0. Calculate n.\nAnswer: 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 151. Suppose -82 = 3*q + 44. Let c = o + q. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(704)*2*-5 + sqrt(704) + -1 + sqrt(704)*2.\nAnswer: -56*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44a63b + -14?\nAnswer: 44a627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 23 = 4*q, -2*x = 3*q + 43 - 13. What is the units digit of (34\/q)\/((-2)\/64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/20 + 7*m**4\/8 + 7*m**3 + 267*m**2. Find the first derivative of a(l) wrt l.\nAnswer: 6*l + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 8*p**3 + 2*p**3 - 25*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**8\/s)\/s)*s*s*s**5)\/((s**(-1\/13)\/s*s*s)\/((s**(9\/4)\/s)\/s*s))*(s*s\/s**(-3\/4)*s\/s**1*s)\/(s*s**(2\/7))**(-33) assuming s is positive.\nAnswer: s**(4414\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1026.25137s to days.\nAnswer: 0.011877909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6) + (-4)\/(-8). Let f = q - 3. Suppose -2*b + b + 19 = f. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/1*(-5)\/8)\/(614\/(-2456))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15060 (b) -0.1 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 268*t**2\/3 + 218*t + 188\/3 = 0. What is t?\nAnswer: -2, -1\/3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10c0c2 (base 14) to base 5.\nAnswer: -121232142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = q + 568, 28*q = 3*n + 23*q - 310. Solve -n = 35*o - 290 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6138, 24587, 55322, 98343, 153650?\nAnswer: 221243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6)**(2\/5)\/(i\/i**(1\/3))**(2\/21) assuming i is positive.\nAnswer: i**(736\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28232849 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 448, 870, 1268, 1648, 2016, 2378, 2740?\n\"Answer: s**3 - 18*s**2 + 469*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 55*n = -51*n - 10, 2*u + n = 7. Solve u*y = 5*g - 10, -26*g + 28*g = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1032)\/18)\/((-8)\/18). Calculate the highest common divisor of 43 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 14*k + 14. Let m be v(13). Let h = -2 - m. Let q be (-12)\/9 - (-2)\/(-3). Sort h, 6, q in increasing order.\nAnswer: h, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1440 + 1643.4. Let o = 203 - x. Which is the third biggest value? (a) o (b) -5 (c) 17 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18972791.\nAnswer: 41, 359, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 1. Let y be s(2). What is the lowest common multiple of 12 and (y\/(81\/6))\/(3\/(-180))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 18*r**2 - 34*r + 607. Let h be w(-21). Sort h, 0, -72, -10, 1 in descending order.\nAnswer: 1, 0, h, -10, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 4*b**2 - 4. Let z be j(3). Suppose 0*v - 20 = -z*v. Suppose 4*w + 0 = v. Solve -19 - w = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplpl. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. Let h = 93 + -88. Suppose -t + o = -2*v, h*t - 6*v = -5*v + 17. Solve b + t*x + 2 = -0*b, -6 = -2*b - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**7\/d)))**(-1\/29) assuming d is positive.\nAnswer: d**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-7 + 7 - z) + (-1 + 3 + 0)*(-369 - 35*z + 369) + 0*z - 2*z + 3*z.\nAnswer: -71*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 112*c - 1555. What is h(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 19382250*k + 18783580753125.\nAnswer: 5*(k - 1938225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 18*r**2 + 16*r - 6. Calculate the least common multiple of k(-17) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 6, 5, 4 in decreasing order.\nAnswer: 6, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 9*v - 18. Let w(b) = -b**2 + 9*b + 6. Let y be w(v). What is the tens digit of (-4*y\/(-5))\/((-24)\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let r = 2 - j. Calculate the highest common factor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24693405*u + 286683045 wrt u?\nAnswer: 24693405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004 (base 8) to base 7.\nAnswer: -1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2*p**3 + 4*n**2 - 205*p**3 - 30*p**2 wrt p.\nAnswer: -6*n**2 - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371621 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -1 - 25) + 2 + 1 + 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 673348477 to the nearest integer?\nAnswer: 25949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y + s, 2*y - 6 = 3*s + 9. Let a(i) = -i**3 + 3*i**2 + 2. What is the remainder when a(y) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -641073789 - 92.3\nAnswer: -641073881.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 436600846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 6*l**2 - 44*l + 27. What is the least common multiple of 4 and h(4)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17791?\nAnswer: 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937364595834 + 0.006?\nAnswer: -1937364595833.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-37)\/h)\/h**(2\/127) assuming h is positive.\nAnswer: h**(-4828\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1563700 and 31825.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41497, -82994, -124491, -165988, -207485?\nAnswer: -248982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = 5*q, -3*q + 9*f - 10*f - 6 = 0. Solve q = -7*n + 9*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:48 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let j = 19.65 - 20. Let c = 0.45 + j. What is the nearest to 2 in c, -2, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*m + 28*m + 28*m + 28*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 2*m - 1. Let c be l(1). Let n(v) = v - 6. List the prime factors of n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 29. Find the common denominator of -67\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1597222 by -72601.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132997)\/(-3043) + (-36 - 8).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (98\/6)\/(4\/6) and (-546)\/(-224) + (-6 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = -2*i + 28, -5*i - 4*a - 9 = 0. Let v = 21 - 19. Solve -4*b + v*m + 17 = -i*m, -b + 5*m + 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18537 = 66*z - 68781. Is z a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3038*c**5 - 24*c**4 - 138*c**2 + c - 48?\nAnswer: -182280*c**2 - 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/(-12))\/13)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32713d07 - 1?\nAnswer: 32713d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3123053, -6246065, -9369077, -12492089?\n\"Answer: -3123012*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**3)\/h)**(2\/57)\/((h*h*h**(-1\/5))\/h)**10 assuming h is positive.\nAnswer: h**(-448\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 60*f + 1. Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 7*j + 13. Let o(v) = -v**2 + v + 2. Let b(x) = a(x) - 2*o(x). Determine b(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(-8 + -35*(-6 - -7)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-9)*(9 + -11 - -11). Which is the closest to 2? (a) -1\/2 (b) -39 (c) w (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4375\/3 - -1471. What is the common denominator of j and 23\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -1396, -2846, -4848, -7438, -10652?\nAnswer: -14526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqioc. What is prob of picking 1 q and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - u + 1815, 5*c + 2*u - 4540 = 0. What are the prime factors of c?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -37 - (87 - 32)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 4*a**3 - 30295029*a + 2*a**2 + 5*a**3 + 30295093*a in the form i*a**2 + j + x*a**3 + c*a and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-1 + 8 + 0)*(0 + 2*v - v + 1)*(5 + 1 - 3)*(4*v**4 - 3*v**4 + 2*v**4).\nAnswer: 189*v**5 + 189*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 41. Calculate r(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g - 2*g**3 + 0*g**2 + 4*g**3 - 2*g**2 + 41*g to the form h*g**2 + m*g**3 + b + p*g and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4689998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 938 = 2*m - 2598, -8 = 2*v. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 103689 + -61802. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 5, -1, -2 in descending order.\nAnswer: 5, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 7*s**2 + 7*s - 6. Let i be o(-8). Suppose -x = -i*x. Let q(r) = -r**2 - r + 14. What is the units digit of q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:25 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.481 + 0.451. What is the closest to 5 in t, 0.5, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 1 (c) 776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24620509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-1 + 157 - (-9)\/9). Let n = 159 + j. Suppose 2*h = 5*y + h + 15, 2*h = 5*y + 10. Sort 3, n, y in decreasing order.\nAnswer: 3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*h - 50. Suppose -2*q = 4*g - 6, 3*g - 2 = h. Let y = 6 + -2. Solve -8 = 2*m + 2*a, y*m + 15 + q = -3*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*w - 3952 = 0, 95*w - 93*w + 7888 = 4*p. What are the prime factors of p?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 5. Let u be o(4). Let j be (u - 12\/(-9))*6. Suppose -134 = -5*t - 2*z + 261, -164 = -j*t - 2*z. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose -4*u + 2*a = 4, 2 = g*a - 2*a. Solve u = -3*w - w + 4, 1 = 4*c + 5*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 25*a - 7. Let v be o(25). Let m(d) = 15*d**2 - 20*d - 100. Let c be m(v). What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3071*j + 390 = -3077*j. Is j equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010321 (base 4) in base 11?\nAnswer: -3349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8405 - -50303\/6. What is the common denominator of j and -43\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4856 (base 13) to base 4\nAnswer: 2133203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/21)\/((3\/3)\/((-4)\/(-1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -0.1, 2\/9, -4, 8.5 in descending order.\nAnswer: 8.5, 2\/9, 2\/17, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 68\/(-12). Is (-4 + -1)*211\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 36 - -14) + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 15 - h + 7*h - 29 - 34. Calculate s(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 - (-31)\/4. Suppose o - d = -5*i, 5*o - 2*i - 17 = -4*i. Suppose -3*q = -0*q, o*u = -4*q + 45. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.7 in 0.2, 2\/23, 1\/2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51564, -103120, -154674, -206226, -257776, -309324?\nAnswer: -360870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1287 = 22*z + 26*z - 12*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274763047*y**3 + 15198898*y - 6?\nAnswer: 1648578282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/6 (b) 2\/9 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 + z - 8. Let w be f(-6). Let x = 27 - w. Solve x*k + 3*a = -a + 28, -k - 6 = -5*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-12) - 80\/(-6). Suppose -4*j = -2*j - q. Let p = j - 6. Solve 0 = 2*b - p - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**2 + 49*m - 5\/6*m**3 + 0 - 1\/3*m**4 + 1\/20*m**5. Give h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -3.5, 16, -0.05, -167, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203, -204, -205, -206, -207?\n\"Answer: -p - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 381 and 1905.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = 8. Let i be g\/(-10) - (504\/35 - 8). Let y(f) = 5*f**2 + 19. What are the prime factors of y(i)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1373640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + 1.69999743. Round f to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Suppose 0*x = -3*x + 4*n + 9, -5*n = x - 3. Let a(c) be the first derivative of 0*c**2 + 0*c - 2\/3*c**x + 1. Calculate m(a(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241*l**3*t**2 + 237570*l**3*t - l**3 + 435*l**2*t**3 + l**2*t + 7*t**3 wrt t?\nAnswer: -482*l**3 + 2610*l**2*t + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(10\/372)\/5. Let n = l + 82\/1023. Is n != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/3 - 22*f**3 + 877*f**2\/3 - 728*f + 1372\/3 = 0. Calculate f.\nAnswer: 1, 2, 14, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**3 - j**2 - 2*j - 1. Determine q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t - 1. Determine u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 6*j**2 - 5*j. Let k(p) be the second derivative of p**5\/20 - p**4\/12 + p**3\/6 - 2*p - 160. What is -g(b) - 5*k(b)?\nAnswer: -3*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -118801.\nAnswer: -118801.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959 divided by 10796?\nAnswer: 1959\/10796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2034*(-84 + 85)\/(-1 - 0). Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110100011010100101110000001?\nAnswer: 110100011010100101110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 7*a - 314. What is a rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11546648 is divided by 43737.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-60))\/((-9)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177998589158 + -0.09?\nAnswer: -2177998589158.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50962 and 44322.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2. Let l(g) be the second derivative of -87*g + 0*g**2 - 1\/2*g**4 + 1\/3*g**3 + 0. What is l(b(f))?\nAnswer: -24*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4576 = 5*x - 1091. Let s = 1190 + x. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 - 4. What is the remainder when (-1 - (-15)\/9) + (-5175)\/(-135) is divided by u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z - 3 = -4*u, -5*u - 4*z - 4 = 0. Let a(y) be the second derivative of y + u*y**3 + 1\/36*y**4 + 0 + 0*y**2. Find w, given that a(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6246565*c**2 + 3*c + 13635144.\nAnswer: -12493130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/3 + 2)*1. Let q(x) = -2*x**3 + 4*x**2 + 4*x + 2. Let b be q(f). Let k = b - 16. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 + -81. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-4)*56\/(-84). Let y(x) = -4*x - 13. Let q be y(w). Calculate the highest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/30240 - v**7\/840 + v**5\/20 - v**3\/6 - 4*v**2 - 4. Let j(k) be the third derivative of x(k). Factor j(p).\nAnswer: 2*p*(p - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((3\/(120\/616))\/(33\/495)).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 22*o**2 - 19*o - 10. Suppose 9*k + 64 = 253. Is a(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 182*h**5 - 183*h**5 - h**3 - 2*h**3 + (-2*h**4 + 0*h + 0*h)*(-2*h + 2*h - 3*h).\nAnswer: 5*h**5 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94 - 2.676. Let x = y - 0.384. Sort -63, x, -0.4 in ascending order.\nAnswer: -63, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65660, -65877, -66094, -66311, -66528?\n\"Answer: -217*p - 65443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -174555.\nAnswer: 174546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 272*z**2 + 21 - 130*z**2 + 11*z - 145*z**2. Let c be b(5). Let h(r) = -21*r. Determine h(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 + 469*y**2 + 48285*y + 1131975 = 0. Calculate y.\nAnswer: -45, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l**2 + 4*l + 6. Let n be m(-2). Let t = n - -76. Let s be ((-3)\/t + 1)*0. Solve 0 = -s*q - 4*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 3*l. Suppose 0*m + 4*k + 20 = 3*m, 37 = 4*m + l*k. Solve -4*n - 3*g = -m, 0*g - 2*g = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/(-10) - 1*2\/(-5). Find the first derivative of -24 + 5 + 6*t**3 - 2*t + 3 + y wrt t.\nAnswer: 18*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -9, -19, -33, -51, -73?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1388718 + -113?\nAnswer: -138882b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-33)*y**32 assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 29850400.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f**2 - 1697*f**4 + 1056*f**3 - 4 - 165*f**2 + 79*f**2 - 486*f**2 + 96*f + 1213*f**4 = 0. Calculate f.\nAnswer: 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91518, -182970, -274432, -365910, -457410, -548938, -640500, -732102?\nAnswer: -823750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*x**2 + 465 - 465 + (-1 + 1 - 2*x)*(-4 + 4 - x))*(-12*x + 19*x + 16*x) + 4*x**2 - 4*x**2 + x**3.\nAnswer: -3495*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72072992 by -16622.\nAnswer: -4336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/4 - 1)\/((-596)\/11920). Let w be (1*1\/(-7))\/(-1). Let d = -9.9 + 10.1. Sort j, d, w in descending order.\nAnswer: d, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xccx when four letters picked without replacement from xpxxcpcx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, x: 5, i: 4}. Give prob of sequence aaa.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 0*z. Suppose 0 = b - 1 + z. Let r be (6 - -2)\/(b - -4). Calculate the greatest common divisor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -t, -5*q + 75 = -6*t + t. What is the highest common factor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3\/2)\/((-925)\/(-70) + -13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7343845um in nanometers?\nAnswer: 734.3845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**23)**17\/(v**(-2))**(-9) assuming v is positive.\nAnswer: v**373","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 divided by 47?\nAnswer: 446\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*f**3 + 44*f**4 + 1016*f**3 + 6*f**5 - 64*f + 22*f**2 - 6*f**2 = 0.\nAnswer: -4, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4 + 20. Solve 3 = 3*l + 2*m - 0, -3*l - 15 = -q*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1050061, 1050060, 1050059?\n\"Answer: -o + 1050062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/7 - 292*u**2\/7 - 298*u\/7 + 84 = 0. Calculate u.\nAnswer: -2, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 * 9.4.\nAnswer: -2.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 4, m: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 90 + 9)*(3*t - 4*t - 2*t) - 4*t - 3*t + 20*t.\nAnswer: -209*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 20 = t, t - 3*t - 12 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112294562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339323 is divided by 84775.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*p + 27459 = 0, g + 5*p = 9433 - 2562. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 7092190.\nAnswer: 35460950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209244\/(-3220) - -65)*95\/171?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 - -278. What is the smallest common multiple of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 8*k + 11. What is w(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3316, 2\/5, 0.009, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2640 + 2606. Let k be 6*2\/(-4)*1008\/88. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba0 (base 12) to base 5\nAnswer: 23304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50d0 (base 16) to base 8.\nAnswer: 50320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08231, -3\/11, -5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, -5, -138, 479, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*13\/((-78)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1190 + 553 = -5*d, 5*a - 8743 = -3*d. Is 38 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let s = o - 2. Let a = -4.6 - s. What is the nearest to -0.3 in -3, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**3 + y - 1. Suppose -g - 4*g = 50. Let c = 11 + g. What is p(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*u = 3*w + w, 7*u = -5*w + w + 9*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z + 10. Let x be r(5). Let c(h) = 2*h + 1. Suppose 7*y - 5 = 2*y. Let f be c(y). Calculate the greatest common factor of x and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -1\/20*l**4 + 1\/25*l**5 + 13\/10*l**2 - 49 - 6\/5*l - 7\/15*l**3. Factor h(d).\nAnswer: (d - 2)*(d - 1)**2*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 2306580*r + 18452832.\nAnswer: -3*(r - 768868)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -51. Let z(c) = 0 + 5*c**2 - 5*c**3 + 2*c**s - 3 + 4*c**3. Let d be z(-4). Solve -3*i + 9 = 0, -3*j - 11 = -4*i + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(352\/40))\/(65\/(-936))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**8\/560 + 5*b**4\/3 + b**3\/2 - b**2\/2 - b + 3. Let z(a) be the second derivative of o(a). Differentiate z(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*((v*v**(2\/11)*v)\/v)\/v)\/v)**(-12\/5)\/(v**(-2\/39)\/v)**(-44) assuming v is positive.\nAnswer: v**(-105304\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2. Let q(k) be the third derivative of -k**4\/24 + 40*k**2 + 1. Determine x(q(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143, -1053, -3207, -7127, -13335, -22353, -34703, -50907?\n\"Answer: -87*q**3 - 100*q**2 - q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16504992 and -131\/1134.\nAnswer: 49514976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (-50 - 10) - (-5 - (2 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 24. Let h be y(-3). Suppose h*c = 5*s - 53, 8*c = 5*c + 12. Suppose i - 23 = s. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 50, 46, 42, 38?\n\"Answer: -4*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2321*h**2 - 12*h + 12. Let w(a) = -34818*a**2 - 182*a + 182. Calculate -91*c(m) + 6*w(m).\nAnswer: 2303*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*p + 35, 3*p + 2*p + 4*l = 10. Let o = p + 4. Let b be (-51)\/(-12) - (-9)\/12. Calculate the greatest common factor of b and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775471998 a multiple of 5089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + (-524)\/(-36))\/(2\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 16. Let a be u(7). Let n be (4 - a)*(-8)\/(-2). Let q = n - -37. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 + -8) - (2 + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v - 23*v**2 + 9*v**2 + 27*v**2. Let c(q) be the first derivative of 3*q**2\/2 - 63. Give c(m(l)).\nAnswer: 39*l**2 - 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in -945, -0.04, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5224329.7 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -107. Let f(l) be the second derivative of g + l - l**2 + 1\/2*l**3 - 5\/12*l**4 + 1\/20*l**5. What is f(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -69*f + 3136. Let l be w(32). What is the greatest common divisor of 2842 and l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 79 - 117 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 6*c + 2*c + 89 - 87.\nAnswer: 11*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 - 104 - 5327*n**2 + 5317*n**2 - 189.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02679 - 0.064693. What is v rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 - x + 6. Let a(o) be the third derivative of -o**5\/6 + 5*o**3\/6 - 1255*o**2. What is 4*a(d) - 3*r(d)?\nAnswer: -7*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcffffltfffftf. Give prob of picking 1 l and 1 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10793, -11055, -11491, -12101, -12885, -13843?\n\"Answer: -87*f**2 - f - 10705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2 - 10. Suppose -2*a = -3*a - 2*t + 22, 2*t = -n*a + 88. Let f = a + -10. Solve 2*v + h - 11 = -3, 4*v - f = -h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2. Let d(m) be the third derivative of -m**5\/30 + 2*m**2. Determine d(z(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 24 = 16*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-2 - -21)) + 46 + -34?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**8\/1680 + b**7\/75 - 17*b**6\/200 - 9*b**5\/50 + 9*b**4\/2 - 108*b**3\/5 + 19*b**2 - b - 4. Suppose x(r) = 0. What is r?\nAnswer: -3, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 815.3 or 1?\nAnswer: 815.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166193, 332324, 498455, 664586?\n\"Answer: 166131*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88065.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*k + 3, -3*a = 2*k + k + 3. Let p(x) = x**3 + 4*x**2 + 3*x + 1. Let m be p(-2). Put -2, m, a in decreasing order.\nAnswer: m, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 16627*w**3 + 0*w**2 + 5*w**2 - 3747*w**3.\nAnswer: 12880*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.059128 rounded to two decimal places?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-549)\/(-10))\/((-2)\/(-5)). Let q = l - 120. Find the common denominator of q and (159\/(-14))\/((-300)\/35).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 6\/3)\/((-4)\/(-20)). Let l be 8\/(-10)*(-4)\/(-16). Which is the third biggest value? (a) 5 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*n, 0*n = -4*n + 2*w. Suppose 2*c = -2*o + 32, 3*o - o - c - 23 = n. Let d = 50 + o. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 10 + 0*y - 3*y. Let v be p(8). Put v, -0.5, 3 in descending order.\nAnswer: 3, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4353396283.\nAnswer: 37, 4583, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31650 divided by 50.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2605*h**2 - 62*h**4 - 2605*h**2 + (7*h**2 + 8*h**2 - 6*h**2)*(-1 + 1 + 2*h)*(-5*h + 0*h + 4*h).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 37 = -2*l + 8 + 14, 13*l - a - 37 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 minus 187.859197693?\nAnswer: -255.859197693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and -5.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102827557681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 41144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/12*160\/840. What is the third smallest value in 12\/5, -9, -1\/4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4411, -36124, -122219, -289888, -566323?\nAnswer: -978716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/420*7)\/((-48)\/(-15))*36\/18.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947795 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21*l. Suppose -4*d = 5*r + 11, -8 + 2 = 2*r + 2*d. Determine f(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899bce (base 15) in base 7?\nAnswer: 106535030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + 36. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:55 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8)*4\/(-6))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyytyttyy. What is prob of picking 4 t?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + -7 + 42 + -26 + (13 - 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 9*z**2 - 7*z + 43. Let s be r(-10). Suppose 0 = -s*f + 188 + 358. Calculate the highest common divisor of f and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 148 = 196. Put m, 2, -1, -4 in descending order.\nAnswer: m, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)\/(n*n*(n\/(n*n\/n**(-2\/13))*n)\/n*n))\/(n**(-8)\/(((n\/(n**3*n))\/n)\/n)) assuming n is positive.\nAnswer: n**(152\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 24*t - 208 + 196 to the form a + n*t and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - p + 15*p - 107*p.\nAnswer: 2*p**2 - 93*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267516 and 20952.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-27 + 66 - 62)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6764000 to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1923*q**3 + 1671*q**3 - 3931*q**3.\nAnswer: -4183*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -322*k**3 + 17372226*k**2 - 34958960*k + 431592 = 0.\nAnswer: 2\/161, 2, 53949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -1 - 5. Let x = 745 - 673. Put 3, z, x in decreasing order.\nAnswer: x, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 124780\nAnswer: -62390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-4025)*-25)\/(((-7)\/(-2))\/(-7))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1420184*t + 25563313. Calculate x(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 3*n - 7. Suppose k - 24 = 3*b - b, -4*k - b + 78 = 0. Calculate the least common multiple of m(-3) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**2 - 335*w + 1460. Give u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -569.8 and -2.\nAnswer: -571.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 17 - (-2 - -8) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 6\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.239? (a) 0.1 (b) -0.13 (c) 15 (d) 2\/3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 + -182.06. Let w = 10 - 7. What is the biggest value in t, -3\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l = 42*l - 87*l + 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.2 (b) -1 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 170.9999861. What is t rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-2*-2)\/(2*sqrt(63) - -4*sqrt(21)\/sqrt(3)).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 43*s**2 + 44*s + 5. Give f(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 11484*q**2 - 490026*q - 501512.\nAnswer: -2*(q - 5699)*(q - 44)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4529956436 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21842082 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3254 - -9761\/3. Let f = 0 + -0.3. Sort -1, f, y in decreasing order.\nAnswer: f, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, y: 1, r: 1, g: 4}. What is prob of sequence ry?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 - 4*p - 4. Let z be n(-3). Let d be (5 - 2)\/(z\/(-18)). Suppose -d = -6*a + 3*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 285 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:31 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5713 plus 0.1?\nAnswer: 3.6713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0 + 15. Let k = 20795\/14 - 1484. Let w = k - 6\/7. Which is the smallest value? (a) 2 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 7*s + 1547. Calculate the greatest common divisor of s and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6207 divide 1169920188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/11*(-56)\/(-224) - 1672\/(-121)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = -39. Let a = -15 - v. Let l(u) = -2*u + 4. Let k be l(a). Put -3, -2, k in descending order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431348 + 576779.974.\nAnswer: 1008127.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:53 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 10158 = 9*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402521 (base 6) to base 2\nAnswer: 111101111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n + 102. What is the tens digit of (n\/8)\/(18\/144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -8\/5*d**3 + 21\/100*d**5 + 2\/5*d**4 + 32*d + 0 + 1\/50*d**6 + 0*d**2. Factor c(f).\nAnswer: 3*f*(f - 1)*(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a factor of 84486648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 9*o + 4. Let s be d(-9). Suppose 0 = -p + 3*m - 7 + 1, -s*p = -4*m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -20. Is -26\/9 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) + (sqrt(900) - sqrt(900)*-3))\/(-5*(sqrt(12)*-4 + sqrt(12))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-1 + -1) - (-1 - 10 - -13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 37245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m**2 - 90*m**2 - 50*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q - 57*q**3 - 10*q**5 + 0*q + 57*q**3 wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5808892*s**4 + 2117*s**2 - 2*s + 4.\nAnswer: -139413408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - -429. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4418 + 4421 - 4*t**4 - t**3 + t**4 - 3*t**2 to the form g + q*t**3 + m*t**2 + p*t + r*t**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*r - 10*r. Calculate the lowest common multiple of r and (-3)\/(((-9)\/10)\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68875 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61717.22cm to nanometers.\nAnswer: 617172200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let c be 20\/(20\/y) - -3. Solve l = -t + 7, -2*t + 7*l = 2*l + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from {k: 2, w: 1, h: 1, i: 2, j: 1, q: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = 6*f - 48 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - -0.3. Let s = 20.68 + -21. Let k = 0.02 + s. Put 4, u, k in increasing order.\nAnswer: k, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 13*a + 1068982 = 206374. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:11 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1948, -1.\nAnswer: -1948, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -14, 0, 30, 82, 162, 276, 430?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 6*c - 3*c)*(8 - 3 + 10) + 92 - 92 - 24*c + (c - c + 2*c)*(2 - 2 + 1) to the form a + i*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*j = 3, -r + 7*j - 15 = 2*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -31.\nAnswer: 25\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/30*-17 - (-5)\/25. Let u = -0.07 + -0.63. Let b = u - -0.4. What is the nearest to 0.3 in w, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1129829 (base 10) to base 9.\nAnswer: 2111745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 7*h**2 - 7 + 15*h - 6*h**2 + 9*h**2. Let r(o) = -o**2 + 7*o + 7. Let u be r(6). Does 17 divide c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 5\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255451412 - 3?\nAnswer: 255451406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*g + 16, k - 5*g - 9 = -k. What is the remainder when 194\/8 + 6\/8 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j + 3. Let x(h) = 6 + 6*h - 5 - 5. What is -3*p(k) - 2*x(k)?\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-2)\/39). Suppose -4*r + 3 = -u. Solve 5 = d + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-21) - (-46)\/14) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.74 + 18. Let f = q + 44.74. Let p = f + -44. What is the smallest value in -5\/2, 0.5, -0.07, p?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1020.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 209849.51 and -0.2003.\nAnswer: 209849.3097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -20, -8\/7, 3\/2 in ascending order.\nAnswer: -20, -5, -8\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -1. Suppose -k - a + 30 = -24, 2*k + q*a = 106. Does 14 divide (-1)\/(54\/k - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) - (-3 + 1). Let f(y) = y - 1. Let k be f(6). What is the closest to -0.1 in t, -5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 1. Suppose 4*w + 3*r + 25 = 0, -2 = w + w - 2*r. Is c(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 88*i**2 - 361*i - 45830. What is p(-86)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.3, -205\/6 in ascending order.\nAnswer: -205\/6, -13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/12 - 3*p**2 - 38*p. Let x(n) = 1. Let o(w) = -5. Let h(f) = o(f) + 4*x(f). Calculate 4*h(z) - v(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let m(c) = 1032*c. Determine m(a(g)).\nAnswer: -2064*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 1. Let y(i) = 5*i. Let l(h) = -4*m(h) - y(h). Let z be l(-2). What is the units digit of (16\/z)\/4 + 656\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 + 3*j + 4. Let q = -4 + 1. Calculate the lowest common multiple of 10 and d(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (12\/(-48)*-8)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 10:41 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-14))**49\/((i*i\/(i\/(((i**(3\/16)*i)\/i)\/i)))\/i*(i**(3\/22)\/i)\/i*i*i*i))**(-8\/11) assuming i is positive.\nAnswer: i**(120793\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 - 4*h**2 + (-1 + 1 + 3*h)*(-2*h + 3*h - 3*h) - h**2 + 5*h**2 - 2*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (2*(sqrt(80)*2 + sqrt(80)) + (sqrt(80) + 2)*-3)**2*3 + -5).\nAnswer: -2592*sqrt(5) + 13566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367520*z**2 - 734439*z**2 + 367489*z**2.\nAnswer: 570*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -5, -7, 4 in ascending order.\nAnswer: -177, -7, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8 - -11) + 20\/(-6))*1. What is the closest to d in 2, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 12. Let u be y(-14). Suppose 187 = u*q + 5*n, 101 = 4*q - 3*q + n. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let n(u) = -4284*u**2 + 84*u + 420. Let b(v) = -252*v**2 + 5*v + 25. Let g(r) = 84*b(r) - 5*n(r). What is d(g(j))?\nAnswer: -63504*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggee when four letters picked without replacement from {c: 4, e: 4, g: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803.43 rounded to the nearest integer?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12546 divided by -82\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 1014 = -29*v - 798 - 487 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwldwwwwlwldllw. Give prob of picking 1 l and 2 d.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-10)*r)**(-9)\/(r\/(r\/(r*r\/(r*r\/(r\/((r**(2\/21)*r)\/r)*r))))*r)**(-2\/21))**15 assuming r is positive.\nAnswer: r**(159370\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 10:15 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:33 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 4*n**3 - 2*n**3 + (n + 1 - 1)*(2*n**2 + 3*n**2 - n**2) - 7*n**3 + 3*n**3 + 2*n**3 to the form d*n + c*n**2 + b*n**3 + o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/390 and 1\/117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 8*j + 7. Suppose 4*y = 31 - 27. Let f be q(y). Put -7, f, -3, 0 in ascending order.\nAnswer: -7, f, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j + 23343 + 188*j**3 - 23343 - 57*j.\nAnswer: 188*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1461.\nAnswer: -1\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((1 - 5) + (-13 - -16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -884 - -2000. Is 44 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1820 and 1368120?\nAnswer: 9576840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + t**3 - t**3 + (-2*t**3 + 0*t + 0*t)*(0 - 1 + 0) + 0*t - 2*t + 0*t + 8*t**3.\nAnswer: 11*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 29 - -2 - (-3431 - -3462)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*h = -27, -h = 3*v + 8 - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t + 68 - 1034. What is the greatest common factor of t and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*u + 3*c - 31, 3*c = -5*u + 25. Suppose 0 = 4*w - u*n + 3*n - 53, -4*n - 40 = -2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -1. Let o = -2 + v. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 27060.\nAnswer: 54120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -739*b**4 - 1070 + 47*b**4 + 7*b**4 wrt b?\nAnswer: -2740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 18000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/279)\/(((-10)\/36)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**2 - 945738807*n - 315246270.\nAnswer: 3*(n - 105082090)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/220 + 71*d**4\/132 - 4*d - 160. Find r, given that x(r) = 0.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (4 - (7 + -10 - -4) - -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from xff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4 - 11. Suppose i*n = -11827459 + 38687248. Let z = 13353263 - n. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(-2)*-39. Suppose 0 = 5*g + u - j, -u + 4 = 2*g - 0*u. Solve g*o + s + 4*s - 7 = 0, 0 = o + s - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) 5.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 17*s**2\/2 - 5*s + 1. Let d be b(4). Let f = 124 - d. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346633769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867 smaller than 3867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232003 (base 5) in base 15?\nAnswer: 203d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 213 + 3*u**2 - 71 + 242)*(0 + 0 + 5*u**2).\nAnswer: 10*u**4 + 1920*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2281903, 4563807, 6845711, 9127615, 11409519, 13691423?\n\"Answer: 2281904*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166826, 166625, 166422, 166217, 166010, 165801?\nAnswer: 165590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61061 (base 8) in base 2?\nAnswer: -110001000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84992 - 18*j**2 - 84992.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwxb when four letters picked without replacement from {t: 1, g: 1, b: 1, d: 1, x: 1, w: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 - 138)\/(1\/(-11)). Calculate the highest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20376, -59975, -125960, -218325, -337064, -482171, -653640?\n\"Answer: t**3 - 13199*t**2 - 9*t - 7169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3, 0, 3\/2, -9 in ascending order.\nAnswer: -9, 0, 0.1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1431181 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14*d + 442 = 0. Suppose -u - s - d - 6 = 0, 3*s + 192 = -5*u. Calculate the common denominator of (u\/(-10))\/(3 - 82\/30) and 29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8025?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 922813511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*11\/(-33)*(-2544)\/300?\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 16368*d + 16744464.\nAnswer: 4*(d - 2046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 4*k + 2. Let c(y) = -y**2 + 1. Let f(h) = c(h) - w(h). Let x be -3*(-2)\/((-12)\/(-10)). Give f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 7*l**2 - 26*l**2 + (5*l**2 + 3 - 3)*(-1 - 2 + 5))*(4 - 1 - 2).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v - 59*v + 22*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11225 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 80605999, 4?\nAnswer: 80605999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 342461480*m + 5863993264189520 = 0. What is m?\nAnswer: 34246148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - 106\/322. Let r = j - -1364\/161. Let a = -2990 + 32864\/11. Calculate the common denominator of r and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 4*q**2 + 4. Let c be 18\/(-4)*10\/15. What is j(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22455*h - 22621*h - 12118 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6390, 0.5, -1, 3\/4 in increasing order.\nAnswer: -6390, -1, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 8295755 in increasing order.\nAnswer: -5, -3, 8295755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4329 or 4361?\nAnswer: 4361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 1, r: 3, t: 1, u: 2, f: 3}. Give prob of picking 1 t, 1 j, and 2 u.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*5513377.\nAnswer: 220535.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2962*w**2 - 2 + 10 - 2955*w**2 as n + d*w**2 + i*w and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 4*i**3 - 2 + 2 + 2*i**3 - 9*i**2 + 2*i as t*i + b*i**2 + z*i**4 + h*i**3 + p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -175590000 to the nearest 1000000.\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59554?\nAnswer: 2, 11, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*s + 32008 = 0, -4*o - 6*s + 3*s = -42658. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 454145.\nAnswer: 454145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u - 2*p, 0 = -u + 2*u - 2*p - 6. Suppose 9*q - 18 = -0*q. Factor -1\/2*h + 3\/4*h**4 + 1\/4*h**5 - 3\/4*h**q + 1\/4*h**3 + u.\nAnswer: h*(h - 1)*(h + 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-945)\/(-42))*(-42)\/2.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s - 1. Let h be y(-5). Suppose -5*l + 4*o = 0, 5*o = 3*l + o. Solve -5*z - 5 = l, h*r = 3*z + 1 + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = o, 4*o - 3 = 3*b - 4. Let c(n) = n**3 - n**2 + n + 5. Let t be c(0). Let i = t - b. Sort -4, i, 1 in ascending order.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r. Let n(q) = -q + 3. Let j be n(5). Let i be -2*(2\/(-4) - j). Let c be s(i). Put c, 5, -2 in increasing order.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 - o - 2. Let a(q) = -18*q**2 - 4*q - 71. What is a(j) - 4*l(j)?\nAnswer: -2*j**2 - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411597763*r**2 - 69832570*r - 2?\nAnswer: -823195526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 390.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -s + 2*a, a = 2*a - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 24. Let p be -4 + 4 - -2 - o. Let f be (-5 + p)*(-6)\/(-24)*-1. Solve -u - 3*l - f = 0, u - 5*l + 2 = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1052261675 to six dps.\nAnswer: 0.105226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 4 - 5*s + 0*s**3 + 0*s**2 - 5\/12*s**4. Let u(p) be the first derivative of b(p). Let i(f) = -f**2. Calculate i(u(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -1232, -1846?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5168.0259*-7\nAnswer: 36176.1813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 2*k**2 - 11*k - 3. Let b be u(6). Suppose -x - 3*x - 3*q = 4, -3*x = -q - 10. Suppose -x*a = a - b. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2. Let s be a(1). Let w be 117\/1 + -1 + s. Calculate the remainder when -2 - (-4 + 3)*w is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 3\/5, -0.2, -5, -9406\/93?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 155*f**2 + 6970*f + 142885. Let j(s) = -63481*s + 63071*s - 9143 - 9*s**2 + 738. Let x(g) = 35*j(g) + 2*k(g). Find d such that x(d) = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-9))\/(26\/52))\/(4\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -47148 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 + 0 - (-27 + 5)) + -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 2*z. Let y be t(-2). Let k(a) = -a**2 + a - 13. Determine k(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141169351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151171740 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 61125334?\nAnswer: 1\/61125334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.65167 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbbb when four letters picked without replacement from bgggbbbb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*f - 13537, 2*v - 2*f - f = 6763. Suppose 0 = 3*k + 25*u - 20*u - v, -u = 3*k - 3367. What are the prime factors of k?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23846377 divided by 4\nAnswer: -23846377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 - (1 - 2))) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69054944 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*r - 1. Is r\/2*-19*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -379. Let z = j + 219.00000089. What is z rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = 5*i + 7*o, 0 = 5*o - 5. Let x(n) = -14*n**3 + 2*n**2 + 2. Let v(j) = -14*j**3 + 3*j**2 + 3. Determine i*x(h) + 2*v(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*q + 70 = -0*n, 0 = 2*n + q + 31. Let j be (51\/(-5))\/(3\/n). Suppose -5*u - h = 2*h - 81, -3*u = 3*h - j. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/120*-4*5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 + 4. Let j(d) = 3*d**3 + d**2 - 2*d + 1. Let t be j(1). Let u = 7 - t. Which is the closest to -1? (a) 0 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrya when four letters picked without replacement from {m: 1, r: 7, b: 1, a: 5, o: 1, y: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b + 268 = -z, 2*b = -2*z + 176. Let w = 287 - b. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Suppose 10*m - 28 + 8 = l. Solve -m*y + 2*v = -4, 4 = -0*y + 2*y + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253972 divided by -15.\nAnswer: 253972\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 8*t**2 + 6*t + 2. Let x be u(-7). Let f = 950 + -947. Calculate the common denominator of 13\/48 and x\/(-2*f\/21).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 13*l**2 + 12*l - 9. Let y be o(-12). Is y\/(-72) + 15\/8 - -8283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7) + (5 - -1) - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2267, -4394, -6557, -8774, -11063, -13442, -15929, -18542?\n\"Answer: -3*d**3 - 2106*d - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-98)\/(-28) + 2\/4. Let s(f) = -6*f - 2 - 2 + y*f - 2*f. Let u be s(-1). Is u <= -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 21*b**2 + 18*b + 45. Determine n(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -235, -457, -745, -1099?\n\"Answer: -33*p**2 - 57*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(5\/(-4)) + 754\/130. Let r(z) be the third derivative of 0*z**t + 0*z**3 + 0 + 0*z**4 + 1\/120*z**6 + 0*z - 2*z**2. Solve r(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.8 less than -20?\nAnswer: -270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.1. Let g = c + -7.6. Let o = g + 8.00000165. Round o to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 37936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26781871*n**2 + 27250608*n?\nAnswer: 53563742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 99285522.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 1. Suppose 3*j + 23 = -2*o, -4*o + 7*o + 32 = -4*j. What is the lowest common multiple of a and o\/7 - 1624\/(-98)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbbbbbbbbllbb. Give prob of picking 3 b and 1 l.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 6 + 9 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 r when four letters picked without replacement from {c: 3, l: 2, y: 4, t: 2, r: 6}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1563 + -1 + 9 + 6\/1 + -7. Calculate the greatest common divisor of 80 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15693, -15490, -15287, -15084, -14881?\n\"Answer: 203*v - 15896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -60. Suppose -10*n = -15*n + u. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -42*z + 73264. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 2*u - 4. Let k(g) = g**2 - g - 1. Let r(q) = 2*k(q) + s(q). Let p be (-9 - 5)\/(-1*2). Let n(a) = -8*a**2 + 5*a + 7. What is p*r(t) + 6*n(t)?\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2 + b. Let k be x(1). Suppose 5*i + 2 = -3. Sort i, k, -4 in decreasing order.\nAnswer: k, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718*t - 13 + 710*t - 1432*t.\nAnswer: -4*t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 220. Suppose 18*p - g = 14*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-153)\/(-5))*(-3)\/(-1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7332 and 35391.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28831, 28998, 29165, 29332?\nAnswer: 29499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 417616904 and 0.36?\nAnswer: 417616903.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15520*i**2 + 25204*i. Let v(f) = 7763*f**2 + 12598*f. Let k(z) = 3*l(z) - 5*v(z). What is the second derivative of k(x) wrt x?\nAnswer: 15490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**7\/2520 + c**6\/360 + c**5\/15 - 7*c**4\/8 - c**3\/6 + 79*c**2. Let b(u) be the second derivative of j(u). Determine b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x - 0*x. Suppose 5*b - 8 = -3*l, -5*l + 4 = 24. Suppose -4*c + x*v + 17 = b, -2*c + 4*v - 6 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68)\/sqrt(4) + -5)**2.\nAnswer: -18*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-648))\/(4\/(-12)))\/((-604)\/150 + 4)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 - (-9)\/(-3). Let n be 33\/15 + 1\/y. Find the second derivative of -n*c**3 + 10*c**3 - 6*c + 0*c - c**3 wrt c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(-50)*m**(2\/3)*m*m\/(m*m**(-7)) assuming m is positive.\nAnswer: m**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 730, -906, 4 in ascending order.\nAnswer: -906, 0, 4, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -15, 2*l = b - 1 + 17. Let a be ((-10)\/4)\/(5\/b). Suppose -n + 378 = a*n. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 25*y**2 + 4*y + 25. Let a be w(-25). Let x = a + 86. Solve 5*s = -l + 5*l + x, 0 = -2*l - 3*s - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*j = -146961, -j = -3*q + 101651 + 45294. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*b + 6. Calculate the remainder when 5 is divided by (-1)\/(b - 10\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -84782*w - 8054288. Give p(-95).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3432)\/(-18018)*918\/8 - 23\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + 142. Let u be s(0). Suppose -2*z = -2*j + 7*j - u, -5*j = -2*z + 122. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -y - 5*d + 3*d, 5*y - 4*d + 65 = 0. Let k(h) = -h - 10. Let f be k(y). Which is the closest to 2? (a) f (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25 + 5\/2*i**2 - 55\/2*i.\nAnswer: 5*(i - 10)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*b + 37942 - 37422 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 429 = -452 + 30 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*a**2 - 55*a**2 - 63*a**2 - 5*a**5 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -27\/2071.\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 694, 720, 746, 772, 798?\n\"Answer: 26*p + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-8)\/28)\/(33435\/5201).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/4 + 41*y**4\/4 - 37*y**3\/2 - 41*y**2 + 78*y = 0. What is y?\nAnswer: -2, 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -788 - -782. Suppose 2*l - 3*k = 7, -16 = -3*l - 0*l - k. Which is the third smallest value? (a) 1 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 - 230980*f - 75331104 = 0?\nAnswer: -57417, -328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 - 9)*1*-103 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1726.1 times -7\nAnswer: -12082.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {n: 2, h: 11, s: 2, a: 3, k: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.02\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3 - (-8 - -3)). Is 2\/9 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.86 - 38.14. Let q = -130.5 - d. Round q to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/16*(-150)\/(-9). Suppose -28*u = -g*u - 87. Calculate the remainder when u is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 116 = q. Let s be (-2)\/(-6) + 55\/(-3). Let i = s - q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650597 = -15*g + 1651017 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/3 - 5*j. Let a(o) = 2 - 5*o - 2. Give a(r(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 + 2*g**2 - g + 5. Let t(x) = -x**3 + x**2 - x + 1. Let f(a) = -4*t(a) + y(a). Let n = -44 - -76. Let c be n\/(-10) - (-1)\/5. Determine f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12511.7 + -12507. What is the third smallest value in -2\/3, 3, l, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 4*g**2 + 3. Give o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -1e?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 67275?\nAnswer: 67270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*t + 3*t. Solve -t = -4*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(8 - n**2 - 8) - n**2 - 4*n**2 + 3*n**2 - 6*n**2 + 3*n**2 + n**2 + (13*n - 2*n - 8*n)*(n + 4*n - 2*n) as j + l*n + d*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - (4 + 4)) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 3*f. Let x be i(-2). Let m(s) = s**2 - 1. Let l be m(x). Suppose l*n = 8 + 4. Solve 0 = 2*d - n - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372 and 8.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39492 + 20*t - 78832 + 39340.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708919*u**3*v**4 - 1354*u**3*v + u**3 + 5*u**2*v**2 + 699*u**2*v + 99*u*v**5 wrt v?\nAnswer: -17014056*u**3*v + 5940*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (12 + (-5 - -8))) + (45 - (-14 - -9))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 50*p + 123. Let n be s(3). Solve 6*q - 5*q = -b - 8, n = 3*q - 5*b - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 minus 23?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 31.\nAnswer: 23\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.932909 rounded to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/4 + 138309*d**2\/4 + 276627*d\/4 + 138315\/4.\nAnswer: -3*(d - 46105)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9591 divided by -3\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 73 = 45. Let -c - 55*c**3 + 8*c**2 - 3*c - 8 + h*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/8 + 3*y**3\/2 - 3*y**2\/4 - 3*y\/2 + 9\/8 = 0. Calculate y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 + 35 = 3*z. Suppose -2*w + z = o, 98 + 29 = o + 4*w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-2 - 1212\/(-1032))*6*-1 + -5)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.52 + -4407043842.\nAnswer: -4407043883.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 (base 6) in base 8?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**2 - 10*n. Let c(l) = -8*l**2 - 5*l. Suppose 2*j - 134 = -36. Suppose 6*h + 13 = j. Give h*z(y) - 11*c(y).\nAnswer: -2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 367, 334, 313, 310, 331, 382, 469, 598?\n\"Answer: v**3 - 40*v + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 890 = -57*h. Is 49 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 2*s**3 + 0*s)*(96*s + 173*s + 129*s) to v*s**4 + d*s**3 + i*s**2 + o + t*s and give v.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 608799890 a multiple of 1827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584800 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 4. Let y(t) = 3*t + 11. Let k(p) = 11*o(p) + 4*y(p). Let r(n) = -194*n. Calculate k(r(b)).\nAnswer: -194*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 8) + 216\/27. Suppose -110 = 2*r - 4*h, 3*r + 2*r + a*h + 340 = 0. Suppose -4*n - c + 108 = 359, 10 = 2*c. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 2 l when four letters picked without replacement from opeolatep.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*s - 33, -3*m - 3*s - 18 = -2*s. Let v(h) = 10*h - 10. Let x be v(m). Let r = x + 245. What is the remainder when r is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -0, -2*i - 23 = -v. Let y be (80\/(-160))\/(1*2\/i). Put y, 1, -6, -1 in increasing order.\nAnswer: -6, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/20 - h**4\/3 - h**3\/2 + h**2 - 9*h. Let x be o(-3). Suppose x*c - 4*c + 758 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.8, -0.359, 5, -2\/9, -2, -171, 0.17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 4*w = 20*s - 35, 4*s = -w + 25. Solve -10 = -5*d + 4*i, s*d - 2*d - 2*i - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3555 + 145772\/41. Calculate the common denominator of ((-14)\/(-21))\/(1\/28) and z.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 16\/(-15 - 910\/(-60)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 99 - 9*u**2 - 2*u + 109*u**4 - 53 - 38*u**4 to q + o*u**4 + i*u**2 + f*u**3 + v*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21680, 20189, 18696, 17201, 15704, 14205?\nAnswer: 12704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5142 + (-135)\/(-45)*(-3)\/1?\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*a + 66*a + 49*a - 3720 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 321 - 169. Suppose -95 = -11*b + 6*b. Calculate the highest common factor of b and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {e: 8, o: 2, t: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s + 57. Let x be (-8)\/48 + 43\/6. Let m be h(x). Solve p - m = -y, 0*y - 2*y + 25 = 5*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p**2 - 2*p + 1. Let i be c(1). Let d = i + 0. Suppose -5*f + 68 = -2*l, 54 - d = 3*f - 2*l. Solve -v = 3*v - f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 49*h - 21. Let q be f(-24). Solve -u - 3 = 5*o, -q*o + 9*u - 4*u - 13 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 211684*z**3 - 22430*z**3 + 2.\nAnswer: 189254*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -71*y + 67*y - 3*l, 104 = -4*y + 7*l for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 - -0.3. Let x = 205.4 - 205. Sort v, 5, -5, x.\nAnswer: v, -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 + 2788*j**2 - 2799*j**2 + 0 - 5.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q + 14. Let o(p) = -10*p - 2. Let r be o(-1). Let g be s(r). Which is the second smallest value? (a) 4 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916027 is divided by 128.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6594 is divided by 250.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354181167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f**3 + 60028*f**2 + 12676768*f - 6353392 = 0. Calculate f.\nAnswer: -7286, -218, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.41 in -0.1, 1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4 + 1092*s**3 + 302452*s**2 + 2367456*s + 4700224 = 0?\nAnswer: -542, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 24 = -8*u + 13*u, t + 18 = 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s)*(0*s + 2*s - 3*s) + 15 - 25*s**2 - 15 - 4*s**2 + 0*s**2 + 2*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(288)*-3 + 0 + (sqrt(288) - (0 + 3 + sqrt(288))))**2 + -5.\nAnswer: 216*sqrt(2) + 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 315d + 57?\nAnswer: 31b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/18*1 - -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163426 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 7 + 5 + 0*y**3 + (578*y - 216289 + 216289)*(2*y**2 - 3*y + 3*y) + (-2 + 3 + 0)*(6*y**3 - y**3 - 3*y**3).\nAnswer: 1157*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-4 - (4 - (-19 + 13)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4\/2 - (3 - 2) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 1)*(-1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 676 = 415 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87781 + 965589\/11. Let s be (1\/(-3))\/((-2)\/6). What is the closest to -1 in v, s, 41?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 5*t)*(0*t**4 - t - t - 3*t**4)*(-4 + 0 + 10).\nAnswer: 36*t**5 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7307 - 7301. Solve 45 = -9*b - k*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 40. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/46005 (b) 0.5 (c) 0.3 (d) 3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84533304 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 + 187. What is the remainder when 29 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 423136 and -2?\nAnswer: 423138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 20868 + 26324. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146, -147, -150, -155, -162, -171?\n\"Answer: -h**2 + 2*h - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 3. Suppose 0 = -o*u + 6. Solve i = u - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10 - (-2)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2*6)\/((sqrt(66)\/sqrt(3))\/sqrt(11)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 22 = 46. Let g be (-8)\/f*(-42)\/56. Which is greater: -6\/25 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.541 - 356.541. Let v = n - -355.36. Round v to 2 decimal places.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 548655 and 74178156.\nAnswer: 370890780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 82 + 65 + 16. Let d(j) = 9*j - 2. Let r(y) = 4*d(y) - 10*o(y). Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104)*-1)\/sqrt(8) + 1)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let s(o) = 6143*o. What is s(u(w))?\nAnswer: 6143*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/7*-1*-1*1. Let u(i) = 6*i - 2. Let f be u(n). Suppose 4*o + 2000 = 4*s, f*o = -4*s + o + 2007. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/2 + 29*s**2\/2 - 9*s. Let c be f(-9). Solve 0 = 4*j - 7*j - z + 14, 18 = c*j + 5*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 + 3 + -10 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 236257653 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234 - 169 - (-1 + 34)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 513\/45)*11\/(-22)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71412 divided by -6?\nAnswer: -11902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -21.\nAnswer: -21, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 3) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 689 = -3*r, -r - 2047 = 77*x - 80*x. Put -5, -4, x, -1 in ascending order.\nAnswer: -5, -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29909000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 15\nAnswer: 182\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:01 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -4444?\nAnswer: -4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-10)*1)\/((-6)\/60)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112556, 112587, 112678, 112859, 113160, 113611, 114242, 115083?\n\"Answer: 5*l**3 - 4*l + 112555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259032851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -0.002492.\nAnswer: 4.997508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 900, 10, -26, 0.\nAnswer: -26, 0, 10, 900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2334\/25829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:00 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 92 = 15*f. Let b = f - 38. Suppose 3*y - 4 = b. Let p(u) = -u**2 + u + 1. Let r(n) = n**3 - 2*n**2 + 2*n + 2. Calculate y*p(m) - 2*r(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 2010 = -3054. Calculate the greatest common divisor of 406 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16757426 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 12, -117, -1\/2, -6997, 5\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 69457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*w - 710 = -216, -d + 459 = -4*w. Suppose 0 = -5*h - 1274 + d. Round h to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-5 - 12)) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.29 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 644 + 449 + 22*x.\nAnswer: 22*x + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.768589kg in grams?\nAnswer: 768.589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*i**6 - 12*i**2 - 5 wrt i?\nAnswer: -11160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 4*i**7\/63 + i**6\/5 - i**5\/15 - i**4\/2 - 2*i**3\/9 + 79*i. Suppose s(u) = 0. What is u?\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6176769433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 7*v + 8. Let l(b) = -2*b**2 - 6*b - 7. Determine -5*l(s) - 4*w(s).\nAnswer: -2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(((-4464)\/(-64))\/31)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45415557 and 65373.\nAnswer: 9339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12311.98 tonnes to nanograms.\nAnswer: 12311980000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**28*r*r**(1\/5)\/r)\/((((r\/r**17*r)\/r)\/r*r*r)\/(r\/r**(1\/40))))**(8\/7) assuming r is positive.\nAnswer: r**(1767\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43618 is divided by 623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 83. Let l = -188.3 + 149.5. Let u = l - t. What is the second biggest value in 2, u, -5, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 0)\/4*2. Let n be ((-93)\/a + 1)\/(-1). What is the second derivative of 5*l**3 - 92*l**2 + n*l**2 - 7*l wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20303212 - 2?\nAnswer: 20303210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, u: 10}. What is prob of picking 1 p and 2 u?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255 + -229. Differentiate -42 - 23 - 87*j**3 - j**3 - i wrt j.\nAnswer: -264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*c + 24 + 31 = 0, 0 = -h - c + 15. Is 7 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*g - 12. Let c = 39 - 35. Let n be 0\/(-1) - (-8 + c). Calculate the greatest common factor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7*c + 20 = 0, d + 15*c - 17*c = 23. Calculate the remainder when 1972 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -67. Factor 49*n - 139 - f*n + 49 - n**2 + 6*n**2.\nAnswer: 5*(n - 2)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 6. Suppose -2*z + 1 = -x. Is (15\/z - 3)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74950 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - q + 10 = 0, g - 11508 = 4*q - 11518 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 934041*r - 1868086.\nAnswer: (r - 2)*(r + 934043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14213043345 + -5?\nAnswer: -14213043354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55\/4 of a millimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y - 15470 = -81*y + 26*y. Calculate the greatest common divisor of y and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 3*z + 3, -5*z = 5. Let h(m) = m**2 + 22. Give h(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-10)*(25 + 15). Suppose 66 = -4*d + 3*i - 13, -58 = 3*d - i. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 0*x - 3*x)*(1 + 6 - 3)*(-5*x**2 + 6*x**2 + x**2) + 3*x**2 - 2*x**3 - 3*x**2)*(-23 + 36 + 10).\nAnswer: -230*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 24 = 5*q, 0 = 5*q - 4*k + 5*k - 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from salslsslll. Give prob of sequence alll.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:16 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 5*g - 3. Let p be o(-2). Suppose 3*q = p*v - 5 - 10, 17 = 4*v - q. Solve 0 = w - 2*w - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -2. Calculate the remainder when 29 is divided by 6*(-4)\/s + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 803 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22304435 (base 7) in base 15?\nAnswer: 28324e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -4, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i\/(i\/i**(-8)))\/i*i*i)\/i)\/(i**(1\/7)*i))\/(i**(1\/3))**30)**(17\/2) assuming i is positive.\nAnswer: i**(-2159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 46. Solve o + j*z + z = 8, -2*z + 3 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -124*s + 12. Suppose -2*l = c + 16, l = 3*l - 3*c. Let v be q(l). Suppose w = -8*w + v. Is w a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -51, 30\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let q be 1170\/273 - (-6)\/(-21). Solve t - q*t = x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123347 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = 4*g. Let c(j) = j**2 + j - 1. Let u be c(1). Let d be g*(2 - u) + 3. Solve d = -0*t - 4*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.996 - 0.004. Let g = 1.07 - 0.07. Which is the third biggest value? (a) 0.4 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -17. Let f = 11.5 - t. Let m = 4\/39 + 3\/13. Which is the closest to 0.1? (a) m (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/36 + (6 - 156\/27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380*c**5*k**3 - c**5*k - 8*c*k**3 - 3*c*k**2 - 2*k**3 wrt c?\nAnswer: 7600*c**3*k**3 - 20*c**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 123012815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 2 i when four letters picked without replacement from {w: 1, j: 3, i: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:50 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*u + 114 - 114 + (-4*u + 4*u - u)*(2 - 2 + 2) - u + 5*u - 3*u - u - 2*u + 0*u to the form o + n*u and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5 - -7)\/(-2))\/((-1)\/(-3)). What is the tens digit of ((-86)\/4)\/(c*1\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n + 313 + 763 - 244 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from {j: 8, b: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61255 (base 9) in base 5?\nAnswer: 2242212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/4? (a) -0.1 (b) 2\/11 (c) 0.08 (d) -4 (e) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*sqrt(98)*-1*-2.\nAnswer: -210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09549225859 and 1.\nAnswer: 0.90450774141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2922*z**3 + 29025*z**3 + 10 + 10947*z**3 - 1072*z**3.\nAnswer: 41822*z**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 0*n**2 - 2*n**2. Let a(y) = 2*y**3 - 11*y**2 + 9*y - 15. Let m be a(5). Let b(z) = -1536 - m*z**2 + 1536. Calculate b(w(r)).\nAnswer: -45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 0, 4*q - 2565*y + 2560*y = 8821. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 7*v + v**2 + 0*v + v.\nAnswer: -9*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -69.2 and -6.04.\nAnswer: -75.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 4*m)*(5*m - 4*m + 0*m) + (-5*m + 4*m + 0*m)*(4*m + 6 - 6).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + (-3 - -4). Suppose -3*m + r*z - 3 = 0, m + 2*z = 6*z - 10. Solve -m*h - 2 = 3*n, -3*h = n - h + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 3*sqrt(475))**2 - (sqrt(19)*4 + -1).\nAnswer: -4*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1222961?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (21 - 54) - (-19 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i. Suppose 4*v - q + 77 = i, 3*v = -5*q + 2*q - 54. Let t = -12 - v. Solve 3*x - t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from llnnlnllnl.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-64)*1140\/(-2565).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 99 = -12*p. Calculate the remainder when 2 + (-3)\/(9\/(-132)) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62085 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 58 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (104\/(-12))\/((-4)\/18). Suppose 3*g + 9 = 3*h - 0*g, -5*h - g = -k. Let y = h - 27\/4. Which is smaller: -0.4 or y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 4*x + 5*x**2 - x**3 + 3*x + 2. Let u be k(4). Suppose -u*y - 2*d - 88 = -5*y, -25 = 5*d. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 2046*b - 57673. Give v(29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9453 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 59. Let s(i) = g*i + 8 + 0*i + i - 2*i. Let t be s(-5). Let m(v) = -v**2 - 9*v - 9. Calculate m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 257 and 40625789.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkkmmmmkmhkmp. What is prob of picking 1 k and 1 m?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2520)\/896*2)\/(30\/(-288))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + sqrt(2)*1 + -1*sqrt(8) - sqrt(20)\/(5*sqrt(30)\/sqrt(3) + sqrt(10))*-3)**2.\nAnswer: sqrt(2) + 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from eeeeheheeeeeeeeeheee.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11721*d = 11729*d - 48 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -679 - 47*p**3 - p**2 + 679 as o*p + n + g*p**3 + k*p**2 and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248.43 and 1.\nAnswer: 248.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*d**4\/13 - 74*d**3\/13 - 348*d**2\/13 + 296*d\/13 - 48\/13 = 0. Calculate d.\nAnswer: -2, 2\/9, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*v - 8, s = -4*v - 59 + 65 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 20. Let b(o) = -o**2 + 2*o - 5 - 1 - 3*o - n*o. Let m(z) = -z + 12. Let d be m(16). Calculate b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let b be k(-5). Let w(h) = -h**2 - 3*h. Let n be w(-3). Let s be (1 - 1)*(-1 - n). Solve z + 0*z + b = s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 4*r**2 - 5*r. Let p = 8 + -13. Let u be j(p). Let t(m) = m + 12. What is the units digit of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -38713*q**2 + 38716*q**2 - 23*q**3 - 20*q**3 + 3*q - 4*q**4 - q**4 in the form v + f*q**4 + n*q + z*q**2 + i*q**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, -3, -40.1, 2\/19 in descending order.\nAnswer: 204, 2\/19, -3, -40.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -267521 (base 11) in base 10?\nAnswer: -419893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/21)*y)\/(y**(-1\/11)\/y) assuming y is positive.\nAnswer: y**(923\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*d - 20, 4*n - 37*d - 34 = -39*d. Solve -n - 17 = 8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f + 112. What is the least common multiple of b(-8) and (480\/(-70))\/(1\/(-21))?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52211932.\nAnswer: 2, 23, 59, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -699*j + 1. Suppose -2*h = -7*h - 10. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 - 1545*v. Let j(c) = -3*c**2 + 771*c. Determine -9*j(m) - 4*x(m).\nAnswer: -m**2 - 759*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 9*p - 12. Let c be g(10). Let u be (-3)\/(c*3\/300). Suppose 3*w = 0, 0 = -5*f - w + 3*w + u. Calculate the least common multiple of 27 and f.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 53, -14\/13, -1, 2\/3 in increasing order.\nAnswer: -14\/13, -1, 2\/3, 8\/3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -22. Suppose 6*q - f*q = 6. What is the third derivative of 4*x**4 + 0*x**4 - 30*x**4 + 9*x**q wrt x?\nAnswer: -624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -6 - (-6 + -1 + -1). Suppose 8*b - v*b = 5. What is the tens digit of 902\/11 - (b - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = 414 - 797 + 468 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9749*i**2*t*y + i**2*y - 7*i*t*y - 2*i + 388*t*y - 2*t wrt i?\nAnswer: 19498*t*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -6654 and 276302832.\nAnswer: 276296178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 107246 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)\/(-1 + 0). Suppose 0 = 3*n - k - 4*k - 4, 4*k - 13 = -a*n. Let h be n + (-8 - (1 - 1)). Put h, 2\/5, -0.1 in descending order.\nAnswer: 2\/5, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -144967.\nAnswer: 3914109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let i(m) = 6*m + 20. What is i(a) + 10*k(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99833 is divided by 1468.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 2. Let t = 189 + -182. Suppose -t*j + 16 = 37. Give v(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 9*p**2 - 12*p - 46. Give i(-7).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 649 and 5549363?\nAnswer: 61042993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*n**3*z**3 - 51*m*n**2*z**2 - 2*n**3*z**3 + 3*n**3 - 20*n**2*z**3 with respect to m.\nAnswer: -n**3*z**3 - 51*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**4 - 6*k**4 - 1 + 4*k**4 - 33*k**4 + 30*k**4 + 380*k**2 as s*k + j + z*k**4 + c*k**3 + v*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12386 and 3.\nAnswer: 37158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose 3*q + 53 = 3*j + j, k = -4*j - q + 41. Solve 4*c = -4*a + j - 39, 2*a + 5*c = -29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 399*n**2 - 59250*n.\nAnswer: 3*n*(n - 125)*(n + 790)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**7\/840 + b**6\/120 + b**5\/40 - b**4\/6 - 5*b**3\/2 - 5*b**2. Let s(n) be the first derivative of o(n). Calculate s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 6 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*s - 63*s - 26*s)*(-3*s**2 + s**2 + 0*s**2).\nAnswer: 250*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -3*u**6\/2 + u**2 - u - 32. What is the second derivative of j(l) wrt l?\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -n - 0*n, n + 3 = -3*v. Let y = 1\/7 - -11\/21. Suppose 2\/3*m**3 - y*m**2 - 4\/3*m + v = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -21. Sort -3, 2, -1, m in descending order.\nAnswer: m, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*4\/8*8\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19953839650 rounded to the nearest 1000000?\nAnswer: -19954000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 709655 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r - 5. Let y(x) = 17*x + 4. Let j(w) = -4*m(w) - 5*y(w). Let d(n) = -3*n. Give j(d(o)).\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-119 - -4) + 20 + (19 - 1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c - 7*c - 6*c - 16*c + 6*c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 2, m: 1, c: 5, e: 2, i: 8}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.7. Sort 0.05, 2, p.\nAnswer: p, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -11966.423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -125875.6 rounded to the nearest one thousand?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - r + 2, -r + 6 = 10. Let j(q) be the third derivative of 0 - 13\/12*q**4 - 18*q**h + 0*q + 0*q**3. Let g(n) = -n. Calculate j(g(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.903623mm in micrometers?\nAnswer: 7903.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**3 - m**2 - 2*m - 3. Let p be o(2). Solve 2*j + 4*x - p*x = -4, 0 = -j - x - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (38 + -32)) + (6 - 2) + -60?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/48 - 2*r**5\/15 + 15*r**2. What is the third derivative of w(g) wrt g?\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 8*x + 6. Suppose -5*y + 105 = r, 2*r - 65 = -3*y + r. Suppose 0 = -b - 0*b + 2. Suppose -2*s - y = b*s. Give v(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*j - 25, -b = 2*b + 2*j + 1. Let x(t) be the first derivative of 3*t**2\/2 + 4*t + 1. What is the units digit of x(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 4*d - 8. Suppose 4*q = -3*k - 26, 2*k + 6 + 2 = 2*q. Let b be p(k). Let o = b - -70. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(2 + 0)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/15 + 16*l**3\/15 + 182*l**2\/15 - 196*l\/15 = 0.\nAnswer: -7, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40221004 (base 5) in base 4?\nAnswer: -1032022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.532 and 40061?\nAnswer: -21312.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 - 3?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 4*l**2 - 7*l - 18. Let k(s) = s**3 - s - 1. Let u(n) = -i(n) + 4*k(n). What is the hundreds digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 2 a when four letters picked without replacement from {k: 1, a: 7, o: 4, c: 1, e: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67027207 * -5.\nAnswer: -335136035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232914 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.000192 + 89. What is s rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278.8485 + -279. What is k rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -213 - 22a087?\nAnswer: -22a29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -0*o. Suppose 0*w = o*w. Let k be ((-3)\/(-3 - w))\/1. Are 2\/19 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 292230 = 777702. List the prime factors of d.\nAnswer: 2, 3, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:48 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 k when three letters picked without replacement from kakoswaz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62813 plus 35687.6?\nAnswer: 98500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - 0.4. Let x = 0 + s. Let l = x - -6. Which is the nearest to 2\/3? (a) l (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*8\/6 + 696\/(-192). Let h = t - -49\/8. Which is the nearest to -1? (a) 0 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 145*c**3 - 465*c**2 + 475*c - 160.\nAnswer: 5*(c - 1)**3*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.7 (b) -2\/29 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -212 - -530. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5547*g**2 - 3461*g**2 - 3649*g**2.\nAnswer: -12657*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.312 - 2.312. Which is the biggest value? (a) 0.242 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*w + 9, -93 = -3*l - w - 37. Let r = -5 + l. Is 8 a factor of r + 3\/(-1) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171985464 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 23263208*u\/3 + 67647105806408\/3.\nAnswer: 2*(u + 5815802)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, b: 13, r: 2}. What is prob of picking 1 r, 1 k, and 1 b?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Let j(g) = g**3 + 14*g**2 + 11*g + 153. Let n be j(-14). Which is the biggest value? (a) z (b) n (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 11 + 3. Solve -i*w - 3 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40\/3, 2, 3 in descending order.\nAnswer: 3, 2, -40\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -16 - 38. Let p(c) = -c**3 + 10*c**2 - 19*c + 106. Let i be p(n). Solve -7 + i = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + 24. Suppose -2*k + 40 = -0*k. Calculate the remainder when f is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000063305383 to seven dps.\nAnswer: 0.0000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 328824 = -3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306103, 15, -1 in ascending order.\nAnswer: -306103, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.84757mm?\nAnswer: 44847.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*v - 2 - 29, -5*l + 5 = -5*v. Suppose 13 = 3*a + l. What is the remainder when (a - -21) + -3 + 1 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -3*o**5 + 35*o**4\/4 + 10*o**3 - 30*o**2 - 40*o - 32. Find z such that d(z) = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171, 4676, 10517, 18694, 29207, 42056?\nAnswer: 57241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*x + 26 = -0*h, 0 = h - 5*x - 16. Let f(y) = 2*y**2 + 2 + 0 - h + y. Determine f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-108)*8\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-8)*2\/(-7)*46. Suppose -9*f + i*f - 42 = 0. Solve 3 = w, w - f*w + 6 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (32\/36)\/4 + -1 and 29\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 459615.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 936, 3147, 7448, 14535, 25104?\nAnswer: 39851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22518 and 2780?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.961927 * -0.05.\nAnswer: 1.44809635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(9\/(-405)). Is 119\/3 - j\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32722425 is divided by 3236?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 2*k + 17 + 27 - k to the form w + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0. Let r = 3.9 + -4. Which is the closest to r? (a) -5 (b) l (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.15 + -1.18. Round c to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -472.607715 to 1 dp.\nAnswer: -472.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:29 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + v = 1, 34*k + 157368 = 3*v + 157489 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/(-8)))\/((-238)\/7).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*(2795\/22575 - (238\/49 - 5)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) 0.8 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/3817 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223263731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/4*(0 + -4). Let o = i - -35. Suppose -3*h + o = 2*h. Is 2\/3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*w - w + 342 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -28. Let u(w) = 3*w + 1 - w - 4*w**2 - w. Determine u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3 - 40. Let s = t - 23. What is the highest common divisor of 100 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 18. What is the greatest common factor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*k**3 + 314*k**3 - 221*k**3.\nAnswer: 273*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-20)*-2)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -23 + 55 + -29\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4980, -9961, -14916, -19833, -24700, -29505, -34236?\n\"Answer: 2*t**3 + t**2 - 4998*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 16*w**2 - 20*w. Let f be u(18). Suppose -10*k + f = -7*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + q + q)*(-2 + 4 + 2)*(3 + 0 - 4) in the form f + c*q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -1\/7, 1\/5, 2\/51, 2, 15 in ascending order.\nAnswer: -65, -1\/7, 2\/51, 1\/5, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-32))\/(2*-1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/7 + 14*z**4 + 890*z**3\/7 + 1294*z**2\/7 - 2280*z\/7 = 0. Calculate z.\nAnswer: -5, -4, 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let w = 21.9 + 79.1. Let g = -97 + w. Which is the nearest to y? (a) 2\/7 (b) -2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83+34\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.5573 + 0.0573. Let n = -143 - i. Put n, 5, 32 in descending order.\nAnswer: 32, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -3\/4, 0, 2, 24 in descending order.\nAnswer: 108, 24, 2, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t. Suppose -5*r = 8 - 48. Suppose 5*p + 3*o - 7 - 12 = 0, p + 2*o = r. Let k(j) = 15*j**2 + 7*j**2 + 16*j**p - 32*j**2. Determine k(b(v)).\nAnswer: 486*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 489 in -0.3, -1, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*s. Let u(d) = s + 7*d - 3*d + 1. Let h(n) = -11*n - 6. Determine -3*h(p) - 8*u(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsnczf. Give prob of sequence gz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 13250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304)*5 + -1) - (sqrt(3078)*2)\/(sqrt(14)\/sqrt(28)).\nAnswer: -3 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 173. Let a(n) = -n - 3. Let i be a(-6). Let g be (i - 3)\/q + 2. Calculate the greatest common divisor of 10 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-4 - -7) - -3. What is the second derivative of 4*u**4 + 5*u + 2*u**3 + m*u**3 - 2*u**3 wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - 90 - (-278565)\/1960\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 j when four letters picked without replacement from {m: 2, d: 1, r: 3, o: 1, j: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1251? (a) -4 (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905751 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -11, -4 in decreasing order.\nAnswer: -2\/3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -117, -212, -331?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6225 by 5434.\nAnswer: 6225\/5434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 286?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 799953 and 5.\nAnswer: 3999765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.95? (a) 456\/5 (b) -5 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 46?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-56)*-4*-1)\/(15\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*d - 31*d + 168. Suppose -d*f + 64019 = 2498. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.1. Suppose -k + 4 = k. Suppose -4 = 4*q + 2*r, -q + r - 2*r - k = 0. Which is the nearest to o? (a) -3 (b) q (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 2. Let p be 1\/q*12\/(-27). Let c be (-3)\/2*6\/(-3). Sort p, c, 4 in descending order.\nAnswer: 4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56724 divided by 14181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -435, -1700, -3795, -6714, -10451, -15000?\n\"Answer: v**3 - 421*v**2 - 9*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1580 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-6)\/16 - 2537\/(-236). Solve -13*d + 15*d - n = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(38) - sqrt(76)\/sqrt(2)*-6) + 2*-1*sqrt(38))\/(-2*(-1*sqrt(242) - sqrt(2))).\nAnswer: -4 + 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216706 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298.467ml in litres?\nAnswer: 8.298467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*g**2*v**4 + g**2*v - 367785*g**2 - 3638*v**4 + 11*v wrt v.\nAnswer: -3132*g**2*v**2 - 43656*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.9. Let l = -13.2 + -0.8. Let o = l - -14.1. Are o and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -145 + 31 + 0 + -1 + -2 + 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 93798922.\nAnswer: 28139676.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8844 is divided by 155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**6 + 207680*p**3*q**2 + 26*p**2*q**2 - 5*p**2 + 832*q**2 wrt p?\nAnswer: 480*p**3 + 1246080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924 - u**3 + 924.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234749 is divided by 239.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*n = 88, n = -j - 2*n - 8. Let g be 5 - (3 - 436\/j). Which is smaller: -21 or g?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835899.\nAnswer: 3, 79, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 - b + 2. Let m = 14 + -14. List the prime factors of v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/143042 and 101\/7732?\nAnswer: 286084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 339884.2 tonnes?\nAnswer: 339884200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 281, 646, 1169, 1856, 2713, 3746?\nAnswer: 4961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-11)*15\/(6 + -21). Which is the nearest to 22? (a) 3 (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d**(-3\/4)*d)\/(d\/d**(-6)*((d**(-2)*d*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 157 = -47. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(112) - (sqrt(112) + -2*sqrt(112) + sqrt(112))) + sqrt(7) + (sqrt(7) + -1)*2) + 3 - (-1 + 4*(sqrt(700) + 1 + sqrt(700)) + 1).\nAnswer: -101*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 12*z**2 + 9*z + 26. Determine n(10).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3056 + -3056.3. Which is the third biggest value? (a) 1\/9 (b) 10.9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213666429?\nAnswer: 3, 71222143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5. What is v(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 - 4*z**5 + 3*z**5)*((-3 - 2 + 7)*(-3 + 2 - 8) - 3 - 1 - 1).\nAnswer: 46*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 - -221102?\nAnswer: 202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7292 - 7287.591. Let h = -4.4 + k. Let r = h + 0.491. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 25599 + 25608 - 2*d.\nAnswer: -9*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -359471.5 times 3?\nAnswer: -1078414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 4 - 2*k**2 - 1\/3*k**3 + 4*k. Let l be c(-5). What is the second biggest value in l, 2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k + 13. Determine s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 33 = -32*t. Solve -4*v + 2*d = t*d + 15, 3*v - 5*d = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6912 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -0.29. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373*c + 1380*c + 829*c - 3582*c + 3*c**3 + 9*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 478*s. Let j(d) = 28 - 84 + 26 + 2*d + 30. Give j(x(a)).\nAnswer: 956*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + g**2 + 3*g - g + 4*g**2 + 3. Calculate l(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5 + 105*o**4 + 199*o**3 - 741*o**2 - 2072*o - 1236 = 0.\nAnswer: -103, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 12) + 11 - (7 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382347*t**5 - 30922983*t**4 + 224063220*t**3 - 306967680*t**2 - 40415232*t - 1271952 = 0. Calculate t.\nAnswer: -22\/357, 2, 6, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282775974 + -405745974. What is d rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0139 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.135*23.\nAnswer: 3.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69d3f (base 16) to base 14.\nAnswer: b3d83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let j be 0*1*(g + 3). Is j - 0 - 265*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 1 = -9*y. Suppose 0 = -y*w, 5*z - 4*z = 4*w + 648. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**2)*p*p*p**7)**(-6\/35)\/(((p**(-3\/7)\/p*p*p)\/((p**(-4)\/p*p)\/p))\/((p**(-1\/3)*p)\/p*(p\/(p\/p**2)*p)\/p*p)) assuming p is positive.\nAnswer: p**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q + 0*q)*(9*q + 25*q + 14*q) + (-4*q + q**2 + 4*q)*(-3 - 1 + 1).\nAnswer: 93*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 = -z - 7*c, 3*z + c - 25 = 0. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 1. Let u = 2.93 + 0.07. Let y = 27084 + -27079. Which is the fourth smallest value? (a) w (b) u (c) 3\/8 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -1\/4 in decreasing order.\nAnswer: 0, -1\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 2*l = -64*j - 46, -2*j = 3*l + 39 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 165*w**3 - 281 + 14*w - 3*w**2 + 284 - 3*w - w.\nAnswer: -165*w**3 - 5*w**2 + 10*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 5, 1704, 4 in ascending order.\nAnswer: 4, 5, 44, 1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + s - 521 = 0, 16*p - 15*p - s = 109. Calculate the greatest common divisor of p and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391539 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - v - 1. Let o(g) = -20*g**2 + 3*g + 5. Let i(k) = -6*n(k) - o(k). Determine i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let k be l(-4). Suppose -3*z + 132 = 5*c, 4*c - 112 = -k*z + 56. Calculate the remainder when z is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**2. Let z(s) = -576*s**2 - 56*s. Let a(q) = 64*q**2 + 6*q. Let l(c) = 28*a(c) + 3*z(c). Determine l(i(b)).\nAnswer: 4096*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/33 + 49728\/(-3256)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3233 is divided by 3113.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8516 - -11188. What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from {g: 3, i: 5, o: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2483*m**3 - 4984*m**3 - 4*m + 2487*m**3 + 2*m**2 + m as a*m**2 + i*m**3 + y + d*m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p\/((p\/((p\/(p*p**(2\/21)\/p))\/p))\/p)*p)*p))**(9\/5)\/(p*p\/(p**(-3\/11)*p)*p*p)**(-2\/117) assuming p is positive.\nAnswer: p**(3488\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5512 divided by 4\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, -16, -5, 17 in descending order.\nAnswer: 227, 17, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -42.4798 and 28.228212.\nAnswer: -14.251588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -78, -42, -40, -84, -186?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*((-50)\/(-10) + 0 - 6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*g + 16639 - 16639)*(3 - 3 - 1)*(1 + 0 - 6).\nAnswer: -765*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92*(414\/(-9))\/552)\/((-5)\/((-15)\/(-2))).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5\/2 + 755*w**4 + 75615*w**3 + 2482380*w**2 - 6043275*w\/2 - 15379875 = 0. Calculate w.\nAnswer: -105, -93, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:28 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3720 divided by 10\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -5.99?\nAnswer: -6.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -3*n**5\/20 - 77*n**2 + 2*n - 1. Let i(b) = 4*b**2 - 3. Let r(v) = 12*v**2 - 8. Let k(a) = -8*i(a) + 3*r(a). Give s(k(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 44*b**2 + 43*b + 4. Let t be n(43). Let i(m) be the second derivative of -1\/3*m**3 - 1\/2*m**2 + 0 - 1\/12*m**t + 8*m. Factor i(w).\nAnswer: -(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w + 1716*w**2 + 10*w - 12 - 1719*w**2 - 22*w.\nAnswer: -3*w**2 - 37*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttoootoooootott. What is prob of sequence oo?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**2\/2 - 5*n + 7. Let k(h) be the second derivative of -h**3\/3 - h**2 - 30*h. Calculate -8*k(s) + 3*r(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14843.89988 - 14843. Let a = -0.9 + p. Round a to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17163 - -17166. Solve 5*j = 2*l + 15, -36 + 27 = 3*l - a*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 306. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 - 1146918*z**2 - 4587646*z - 3440730 = 0.\nAnswer: -573455, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**3 + 53*h**2 - 17*h - 1446. Let m(q) = -3*q**3 + 18*q**2 - 6*q - 483. Let j(w) = -17*m(w) + 6*z(w). Find the first derivative of j(n) wrt n.\nAnswer: 9*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = -4*u - 5*r, -5*u + 7*r - 1470 = 2*r. Let y = u + 422. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and 5 + ((-101)\/55 - 3).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 8*n - 3. Let t(l) = l**2 + l + 1. Calculate 5*t(p) + w(p).\nAnswer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3 + 3)*(0 + 2 - 1) + 3*t + 1 - 1 - 5*t + 2 - 2 + (0 + 1 + 1)*(-3*t + 2*t + 0*t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 1. Let j be c(-3). Let k be 24\/(j + 0) - -2. Let a = k - -12. Solve a*d = -3*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 65294*f + 65710*f - 131004*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 30*h - 2. Let i(m) = -12*m**2 - 2*m. Calculate i(v(d)).\nAnswer: -10800*d**2 + 1380*d - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/4 - 8*v**3\/3 - 7*v**2\/2 - 12*v - 6. Is o(9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -441.203 + 441. What is p rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*(sqrt(30)\/sqrt(6) + sqrt(5)))**2 + (sqrt(180) + -5*(sqrt(180) + 2) + sqrt(180))**2)*-1.\nAnswer: -2440 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-4)\/24). Let t be ((-1)\/f)\/((-9)\/(-18)). List the prime factors of (-12 - -3)*(-5)\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let u(l) = -210*l**2 - 158 + 24*l**2 - 148 + 306. What is u(z(w))?\nAnswer: -744*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -20*h + 53. Let r(s) = -7*s + 18. Let i(t) = 6*b(t) - 17*r(t). Let a = -74 + 84. Let j be i(a). Let f(d) = d**2 - 2*d - 2. What is f(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16806 by 5602.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*p**4 + 2*p**2 - 253*p**3 + 519*p**3 - p - 257*p**3 + 36*p**4 + 2*p to the form b + t*p + j*p**2 + l*p**4 + u*p**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705414?\nAnswer: 2, 109, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27894, -27882, -27870, -27858, -27846, -27834?\nAnswer: -27822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -77 times -0.1859\nAnswer: 14.3143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -50.\nAnswer: -67\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 10\/10713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418 - 6*z + 1418.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/((-6)\/(-180)). Let u = d + 1. Let g = u - 6. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)*(3 + -4). Let f be ((-8)\/6)\/(8\/(-12)). Let i(v) = -6*v**2 + v**2 + 0*v + v**f - v. What is i(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 716022?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3023440041 + -5?\nAnswer: 3023440032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 t when four letters picked without replacement from {n: 1, v: 5, z: 2, k: 8, t: 2}.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155 or 154?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 11*y**2 + 12*y - 1. Let c be t(-12). Suppose 0*o = -d - o + 7, 3 = 3*d - 3*o. Let r = d - c. Sort r, -3, -4 in decreasing order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 11. Let j(f) be the first derivative of -7*f**2\/2 - 21*f - 315. What is 6*j(p) + 11*x(p)?\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-66)\/10 - 402\/570.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*k**2 + 146*k**2 - 6*k**3 + 8 - 288*k**2 + 2*k in the form l*k**3 + n*k**2 + a + d*k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 139116\/30 - 17\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21949, -43806, -65663, -87520, -109377, -131234?\n\"Answer: -21857*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 3:37 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 2*w**2 + 193*w**3 - 143*w**3.\nAnswer: 50*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483 + -494. Put 0, -4, k in decreasing order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(-1*14\/(-63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25696*x**5 + 37268*x?\nAnswer: 513920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -93346.414 to the nearest 1000.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/11)*b\/b**9*b**1*b**9 assuming b is positive.\nAnswer: b**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/259584 and 17\/8?\nAnswer: 259584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*r + 4 - 3*r - 1162*r**2 + 5*r - 4 to h*r + k*r**2 + w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*g = -4*c + 60, 2*c = 3*g + 40. What is the third derivative of -15*d**2 + c*d**5 + 8*d**6 - 17*d**5 wrt d?\nAnswer: 960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*b**2 - 1 + b**3 + 200*b**2 + 0 - 2*b**4 to the form h*b**3 + v*b + x*b**2 + g*b**4 + j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 392 = -4*s, 0*v + 3*v = 2*s - 204. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 - d**2\/2 + 2*d - 2. Let l be o(2). What is the units digit of (-2)\/l*(-32)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/2*n**4 + 11 + 0*n**2 + 0*n + 2*n**3. Solve f(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*h + 0 + h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by 209780.\nAnswer: 83\/104890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10*s + 1383 = -6*s, 5*s + 1428 = -h. What is h rounded to the nearest 10?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = n + 3*n + 62, n + h + 11 = 0. Let u(p) = -p**3 - 8*p**2 - 8*p + 6. Calculate the remainder when u(-7) is divided by (n - 342\/(-27))*(-15)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -173\/5. Put k, -1, -2\/13 in ascending order.\nAnswer: -1, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 h when four letters picked without replacement from ncconnhpnhnnna?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -92 (c) 3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/5)\/(-4))\/((-594)\/81)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*p**2 - 31*p**2 + 246*p**2.\nAnswer: 354*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 30 - 66 = 0. Suppose -2*n - n = 0. Suppose r*s - 3*s - 28 = n. Calculate the remainder when 53 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 9) to base 14.\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16833.552 months in millennia?\nAnswer: 1.402796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 410 (b) -0.3 (c) 3 (d) -7.4 (e) -2 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 4)*(-5 + 5 - 5*h**5) + (h**3 + 3*h**3 - 3*h**3)*(-h**2 + 4*h**2 - h**2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93 + 197 - 80)*(0 + 4 - 1)*(-2*j**2 + 3*j**2 + 0*j**2) in the form y*j + u + m*j**2 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 99034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.3 + -27.3. Let i = -19 + d. Suppose 0 = -2*w + p + 13, 5*w - 2*p - 11 = 20. What is the smallest value in 0.2, w, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/24 - p**5 + 35*p**4\/8 + 245*p**3\/3 + p**2 - 31*p. Determine m so that b(m) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890170?\nAnswer: 2, 5, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 - 11*y - 16. What is t(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*t - 6*d, 0 = t - 2*d. What is the third derivative of 4*o**2 + t - 4*o**3 - 2*o**2 + 0 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 168 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + 0*z + 2)*(2*z**4 - 5*z**4 + z**4).\nAnswer: -4*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0.0463, 333.6 in descending order.\nAnswer: 333.6, 2, 0.0463, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:47 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 11:48 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 9*z + 21. Let u(w) = w**3 - 3*w - 4. Let q be u(-2). Let g be j(q). Solve -g*i + 20 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11250393 is divided by 9470?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 929390387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -a2508?\nAnswer: a2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-2 + 3*q**2 + 2 + 0*q + 0*q + 4*q**2 - 2*q**2 + 0*q**2 + 3*q**2 + (-3 + 3 - 2*q**2)*(-1 + 0 + 0) + q**2 - 2*q + 2*q).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365 - -371. Let v(z) = 17*z**2 - 3*z - 19. List the prime factors of v(g).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 6 (b) -0.34 (c) 10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*h - 7*h**2 + h**2 - 12*h**2 + 12*h + 20*h**2 as d*h**2 + y*h + f and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/3 - 5*k**2 - 22*k - 9517. What is z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/21, 5, -0.03, 17, -1\/10, -0.027?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*u - 570, -b + 64 + 31 = -3*u. Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 677?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07269702 take away -0.4?\nAnswer: 0.32730298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u + 4. Let a(n) = -1. Determine 3*a(j) + i(j).\nAnswer: -14*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35598 and 5586506?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 1\/2*z**2 - 5 + 5\/3*z**3 + 0*z. Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**2 + 2*k + 3. Let b be z(-1). Suppose 8 = -b*r + 148. Solve -4*l = -20, h - 5*l + 3*l = -r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-19)\/b)\/(b*b**(1\/26)*b)*(b*b**(-7\/2))**49 assuming b is positive.\nAnswer: b**(-1866\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 4, q: 2, v: 1}. What is prob of picking 1 u and 2 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -359594963 - 0.1\nAnswer: -359594963.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/132)\/(16\/22*1)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5))**(2\/87) assuming f is positive.\nAnswer: f**(8\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90888 = 1428*x - 4401 - 44655 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/7, -2\/19, 198.637, -25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(4\/(-168)). Let v = 23 + m. Calculate the least common multiple of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1998*i**3 - 205*i**3 + 514*i**3 - 2416*i**3 + 616*i**3.\nAnswer: -3489*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.86? (a) -103 (b) -0.2 (c) 0.4 (d) -4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 42 + 4*o**4 - 6*o**4 - 208*o + 2*o**3 + 44 + 3*o**2 in the form b + j*o**2 + a*o**3 + u*o**4 + y*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930 (base 10) in base 12?\nAnswer: -114a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 24. Let p = 2 - k. Is 4 a factor of (2\/p)\/((-2)\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*c + 24*c + 65*c)*(-4 - c**4 + 5 + 0*c**4).\nAnswer: -178*c**5 + 178*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 take away -0.5?\nAnswer: 261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 122*k**2 + 24*k + 56. What are the prime factors of q(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -206, -213, -220, -227?\n\"Answer: -7*f - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**24*(j\/((((j**(-2\/5)*j)\/j)\/j)\/j))\/(j\/(j**(-5\/11)\/j)) assuming j is positive.\nAnswer: j**(116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-32)\/((m**4\/m)\/m*m*m))**7 assuming m is positive.\nAnswer: m**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 914, 219, 1, -4, -2 in descending order.\nAnswer: 914, 219, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let w = -1 + h. Is (-207)\/(-6)*2\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29224582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8673, -69346, -234045, -554784, -1083577, -1872438?\n\"Answer: -8669*n**3 + n**2 + 7*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4058 is divided by 110.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 13*u - 46*u - 3*u**2. Let n(w) = -14*w**2 + 99*w + 22. Let p(i) = -5*i**2 + 36*i + 8. Let s(r) = 4*n(r) - 11*p(r). What is z(s(h))?\nAnswer: -2*h**4 + 59*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -23\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 7619.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2, -3*q - q = -n + 43. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(16\/30 + (-4)\/50*5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18023 + -16867. What is the lowest common multiple of s and 12?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:01 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 8. Suppose -b*t = -m - 5*t - 6, 5*t - 30 = 5*m. What are the prime factors of (m\/4)\/(9\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/((-244)\/16)*4\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 10}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1, t: 1, k: 1, n: 5}. Give prob of sequence tk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*(-18)\/12. Let g = -391\/6 - -65. Sort j, 3, g in descending order.\nAnswer: 3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57023 - -173849\/3. Let t = -945 + l. Let v = t - -19. Which is the closest to -2? (a) 3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 990\/23 in 0.02, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*i + 171*i - 358*i as k*i + l and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5517393676 + -3723.\nAnswer: -5517397399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41836, -83663, -125490?\nAnswer: -167317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49750 + -0.0498\nAnswer: 49749.9502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(6))\/sqrt(5) + sqrt(12) + -4)**2*5.\nAnswer: -120*sqrt(3) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = z, -3431*z + n = -3432*z. Let a be 2\/2 + 0 + 33. Solve 2 = l + r, -z*l + r = -4*r + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2494 and 1204.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45378202*y**5 - y**2 + 2114860*y?\nAnswer: 2722692120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-260)\/(-12) + 5)*3. Let y = 86 - l. Let o(d) = -23*d + 1. Let f be o(-1). What is the greatest common divisor of y and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116944 = -299*y + 104685 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76171.46ns to seconds.\nAnswer: 0.00007617146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -37. Suppose 2*o = -i*o + 266. What is the first derivative of 38*p + 10*p**2 - o*p - 27 wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18562799.3 to the nearest 10000.\nAnswer: -18560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 53145*j + 4 + 0 + 688*j**2 + 53145*j as r + w*j + n*j**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1052*u + 1060*u = -16. Let q = 12.8 + -13. Let g = -0.1 + 0.1. Which is the closest to -5? (a) q (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 250*f**2. Let p(v) = 9289*v - 18603*v + 7*v**2 + 9314*v. What is p(w(m))?\nAnswer: 437500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -249 - -261. Solve -9*c + 4*c = -r + m, 5*c + 2 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by -4\nAnswer: 141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n + 4*n)*(-2*n**2 + 2*n**2 - 8*n**2).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*2\/((-41)\/((-40836)\/(-40))*3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1)*(-20229*w**2 + 2*w + 20229*w**2 - 1009*w**3)*(9 + 0 + 5).\nAnswer: -14126*w**4 + 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h - 31 = 173 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 23*y - 5. Let r be c(13). What is the common denominator of (144\/r)\/(2\/3) and -12\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 66*q + 852. Calculate y(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15. Let t(l) = -61. Let x(s) = -9*c(s) - 2*t(s). Let f(y) = -y + 26. Let o(h) = 2*f(h) + 5*x(h). What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**7\/2520 + h**6\/480 - h**5\/40 + 6*h**2 + 319*h. Suppose q(v) = 0. What is v?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80105326 and 2618?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(1*sqrt(5) + sqrt(5)))**2 - sqrt(88)\/sqrt(200).\nAnswer: -sqrt(11)\/5 + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 21. Let f(x) = -10*x**2 + 5*x + 6. Let a be f(0). Determine k(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 1\/2 (c) 48 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 - -0.12. Which is the nearest to 0? (a) z (b) -2\/7 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -10. Suppose j*q - 3*q + 2 = 0. Let u be 2\/(-6) - (-32)\/6. Solve 0*p + 16 = q*t - 4*p, -u*t = p + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -43.34 and -896.\nAnswer: -939.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*l = l + 5, -4*m = 3*l - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 2. Let f(q) = 34*q - 4*q - q - 28*q. Calculate o(f(k)).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.84323 weeks to minutes.\nAnswer: 885459.7584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**6\/6 - 13*i**5\/20 + 3*i**4\/4 + i**3\/6 - i**2 + 4*i. Find y, given that b(y) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20872 is divided by 366.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998596?\nAnswer: 2, 41, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/54, -1\/9, 3, 1, 0.03?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2*n*y**2 - 54*l*n**2 + 2*l*y**3 - 22*n**2*y + n**2 + y**3 with respect to l.\nAnswer: 6*l*n*y**2 - 54*n**2 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19*d**4 + 5*d**2 + 6*d + 5. Let g(r) = -r**2 + r - 1. Let t(m) = -5*g(m) - w(m). Find the second derivative of t(a) wrt a.\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-35) - (-69)\/15. Suppose -8 = x - f*x. Suppose -x*w = -0*w. Solve w*n + 4*r = -5*n - 36, -3*r - 20 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87022977 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 130*u**2 - 263*u + 110. Give w(-132).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 1. Let f be t(2). Suppose 4*j - j + k + 12 = 0, 2*j + 5*k - f = 0. Let h(d) = 7*d - 4. Let p(r) = -3*r + 2. Determine j*p(x) - 2*h(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 12. Let g = m + 1. Let b = -4.35 + 4.65. What is the third smallest value in 0.6, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o + 4. What is y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -123*w - 1840. Let q be f(-15). Let p(v) = -190*v**3 + 12*v - 12. Let b(j) = 76*j**3 - 5*j + 5. Calculate q*p(s) + 12*b(s).\nAnswer: -38*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2805\/7 + -401. Which is the second smallest value? (a) s (b) -3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 13*o**2 - 2*o + 31. Let s be i(13). Suppose 0 = 7*k + s*k - 60. Solve 4*r - 7 = 5*x + k*r, -4*x = -4*r + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 98*f**2 - 96*f - 2. Let h be g(48). Which is the closest to -0.047? (a) 1 (b) -0.3 (c) -1\/3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v + 184 + 408 = -440 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:50 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 13. What is the remainder when 62 is divided by (y - -3)*(-2)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -24*v. Let u(f) = -28*f**2. Give c(u(t)).\nAnswer: 672*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**5 + v**3 + 2*v**2 + v. Let l(y) = -10*y**5 + y**4 + 7*y**3 + 18*y**2 + 11*y. Let q(a) = 2*l(a) - 22*r(a). Factor q(d).\nAnswer: 2*d**2*(d - 2)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 6}. Give prob of picking 2 y and 2 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 8*p**3\/3 - 160*p**2 - 20*p - 18. Let r(w) = -w**2 + 46*w + 3. Let a(h) = -3*b(h) - 20*r(h). What is y in a(y) = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735300?\nAnswer: 2, 5, 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 34 + 6. Let y = -39 + m. Let l = 47 + y. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:06 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1264*f**3*r + 526*r + 1 wrt f?\nAnswer: 3792*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/8, 1\/25, -2, -1, -1037 in decreasing order.\nAnswer: 5\/8, 1\/25, 0, -1, -2, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 172900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/10 + (-42)\/105. Sort z, 0, 10.\nAnswer: z, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.612 and 26326?\nAnswer: -68763.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 29*g - 24*g + 7 = 0, 4*g + 12 = 0. Let u(t) = -t**2 - 6*t - 6. Let i be u(-5). Let a be w - (4 + i - 3). Solve a = -5*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 8*u - 13. Calculate o(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -11. Let o = y - -7.6. Which is the third biggest value? (a) 5 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/78*((-44)\/(440\/(-75)))\/5\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -376, -375, -374?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllyj. Give prob of sequence lyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 643084 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2077 = b - 2*v, 73*b - 68*b - 10357 = 3*v. Calculate the remainder when b is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -15. Is k less than 1\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 19 - (43 - 50).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -1331, -1975, -2621?\nAnswer: -3269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -111.61. Let j = -0.09 - n. Let y = 0.697 + j. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q + 1. Let c(p) = -39*p + 5. Calculate 2*c(y) - 9*u(y).\nAnswer: 12*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/450 - i**5\/150 + i**4\/15 + 7*i**3\/6 - 6*i**2. Let s(v) be the first derivative of o(v). Let s(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (-8 + 8)) + (15 - (22 + -7))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + 2*y. Let i(b) = -3570*b - 2*b**3 - b**2 + b**2 - 4*b**2 + 3565*b. What is 7*c(q) + 3*i(q)?\nAnswer: q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 5. Let f be b(3). Let y(d) = -9*d**2 + d - f*d**3 - 2*d**3 + 7*d**2. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 875.36286 and 31.\nAnswer: 906.36286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let j = 17 + -10. What is the remainder when j is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.117292 kilometers?\nAnswer: 511729.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -31. Let h = y - 26. Let i = -20 + h. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3580*h + 47 = -3580*h + 7161*h - 2*k, -4 = -h + 3*k + 64 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*a - 0 + 18, 5*h + 21 = -3*a. Let x(z) = -z**3 - 3*z**2 + 4*z - 1. Let m be x(-4). Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/26)\/15 + (-3 - 51004\/(-52)). Is 978 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2. Let x(u) be the second derivative of u**3\/2 - 47*u**2\/2 + 502*u. What is x(o(a))?\nAnswer: -6*a**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -112, 1\/5, 86, -3?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443\/1277 - 13308659\/14047. Let v = u - -946. Calculate the common denominator of 16\/7 and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -687, -686, -685, -684, -683, -682?\n\"Answer: u - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113004 = -17*n + 27*n + 46724. List the prime factors of n.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofrfooffyryryfro. Give prob of sequence rfro.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9 + (-6)\/18)\/(-1). Suppose 2*v = 5*n - 9 - 6, w = 3*n - 5*v - 28. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6 + 3. Let x(a) = -2*a + 9 + a + 2*a + 4. List the prime factors of x(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -39*(145\/(-15) - -10). What is the biggest value in 26, -0.2, b?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*p + 25, 3*z - 3*p - 15 = -z. Suppose z = 5*g - 5*n - 25, 4*g + 2*n - 2 + 0 = 0. Solve 0*y = -g*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**8\/6720 + p**7\/1120 - p**6\/1440 - p**5\/160 - 83*p**3\/3 + 129*p. Let c(u) be the second derivative of n(u). Factor c(i).\nAnswer: i*(i - 1)*(i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 70\/9 of a week?\nAnswer: 78400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 + 4*v + 6. Let c(a) = 3*a**2 + 2*a + 3. Let h be -1*((-1)\/1 + -5). Let i(d) = h*s(d) - 11*c(d). Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 65. Solve -4*x = -4*b + 16, b - 5*x + x = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 46260*a + 1. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and (-6)\/(-8)*-1*(29 + -37).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3, -14 in ascending order.\nAnswer: -14, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occo when four letters picked without replacement from ccccccoccccocccccc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -1132225326?\nAnswer: 1132225342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.08 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*j - 41 + 157, l + 264 = -5*j. Let n = j + 48. Which is bigger: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57604271?\nAnswer: 89, 733, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 divided by 6?\nAnswer: 503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u = 105*u - 20. Let d(h) = h**2 - 4*h + 4. Determine d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + p - 2 = 12, 4*p = -5*f + 12. Suppose -u = -5*y + 5, -y - f*y + 105 = 4*u. Calculate the greatest common divisor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 10. Let g be i(-4). Let w(r) = r**2 + 15*r + 17. Let u be w(g). Let k(y) = -y**2 + 3*y + 3. Give k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 = 1. Let a(n) = 5*n**2 + 3*n + 5. Let r(b) = -4*b**2 - 3*b - 4. Let q(m) = -3*a(m) - 4*r(m). Let c(d) = d - 1. Determine s*q(z) + c(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3.2 (b) -3 (c) 0.2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5)*(-2)\/(-4))\/((-27)\/(1523610\/209))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/14 + 4\/14. Which is the biggest value? (a) 1 (b) -2 (c) t (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 15\/10 + -1 + 4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4478, -4480, -4496, -4532, -4594, -4688?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.7 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*h - 4, -5*z + 4*z = -4*h - 12. Let i = 27 - 9. Let l be i\/4 - (-8)\/(-16). Solve 1 = t - 2*o, -l*t - o = o - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3.4, -5, 1.636, -3\/5, 0.06?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:22 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-86)\/((-867)\/(-291) + (-3)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - (-22)\/3. Let j be (4\/42*3)\/(17\/(-119)). What are the prime factors of h + 2 - (-1 + j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let u(w) = -w**2 - 5*w - 8. Let s(z) = -u(z) - 6*x(z). Is s(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/17 (b) 3 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 163. Suppose -17 = -4*s - 5*l, -14 = -4*s - 4*l + y. Calculate the remainder when 23 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 u when four letters picked without replacement from rrrnrnurnngugnurbnnu?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 + 120.295. Round m to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136\/7 + 41\/14. Let a be (-730)\/(-3) - 1\/3. What is the common denominator of m and (2\/(-6))\/(22\/a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431.132 minutes in hours?\nAnswer: 73.8522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 5*h + 9, -5*h - 1 = i. Suppose 2*t - 3*t - 3*t**2 + i*t**2 + 3*t = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -3\/110?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:38 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:30 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*((-84)\/(-60) - -1). Suppose -w = 2*w - 18. Let l = w - n. Solve l = 2*v - v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25*m**2 - 115*m + 5. Let g(u) = 24*u**2 + 111*u - 4. What is 2*c(h) + 3*g(h)?\nAnswer: 22*h**2 + 103*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018899.\nAnswer: 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 7*g**2 + 15*g**2 - 19*g**2 + 0*g**3 + 11*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -182bc2 (base 14) in base 7?\nAnswer: -10151532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5965*c**3*w*z + 192343*c**3*z**3 + 2*c*w*z**3 wrt w.\nAnswer: -5965*c**3*z + 2*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -661125 divided by -5125\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*h - 131*h - 4*h**3)*(1 - 4 + 1).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121735 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2507.95 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 7) to base 5\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172526699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/21 and (-2)\/(-5) + (-5)\/1200*691.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 15 = 0. Suppose 5*p = -13 - 7, -h = -o*p - 22. Let -4 + g**2 + 6 - 5*g**2 + h*g**4 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1418 + 146?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3563915811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 3*o - 2. Let k(t) = -t**3 - 3*t**2 + 4*t + 1. Let p be k(-3). Let a = 4 + -6. Let x(b) = 6*b**2 - 16*b + 10. Determine a*x(u) + p*j(u).\nAnswer: -u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7510 (base 8) to base 3\nAnswer: -12100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9187866 divided by 6246?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11813379.\nAnswer: 3, 103, 38231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750261 and 722091.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554240985.\nAnswer: 3, 5, 59, 626261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2*a**2 - 7*a - 3 + a**3 + 0*a**2 + 3*a. Let r(k) = 2*k**3 - 1. Let n be r(-1). Determine x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.525 and -1.\nAnswer: -22.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*8\/(-10)*75\/(-15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -17.8. Let x = g - -12. Which is the second biggest value? (a) 2\/7 (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4951861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6d (base 14) to base 6\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 + 2*i + 5. Let p be 6\/3 - (0 - -2)\/(-2). Let d be s(p). Let 2*f**d - 7*f**2 + 11 + 14 + 20*f = 0. Calculate f.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2275, 4546, 6809, 9058, 11287, 13490, 15661, 17794?\nAnswer: 19883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4 - 85 - (-88 + 58)) + 0 + 0?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 1. Let b(l) = 5*l + 6. Let m(y) = b(y) - 3*x(y). Let s be (1 - (-2 + 4)) + 1. Is 3 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 821, 2771, 6577, 12857, 22229, 35311, 52721?\nAnswer: 75077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k - 179. Give i(34).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8260 = -5*i - 8230. Solve i = -2*q + s, 3*q + 5*s + 127 = 144 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 + -616.45.\nAnswer: -633.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 1. Let x(z) = -z**2 + 4*z - 6. Suppose 0 = -5*h + 7*h + 8. Calculate h*i(m) - x(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l - 7. Let d be t(-5). Suppose 0 = 3*m - 4*r + 42, -93 = 2*m + 3*m + r. Let f = 20 + m. Sort d, 4, f.\nAnswer: f, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18301000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.4748ug to tonnes.\nAnswer: 0.0000000008684748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 - 4*z**2 - 5*z - 2. Let u(s) = 11*s**3 - 8*s**2 - 11*s - 3. Let x(y) = -9*i(y) + 4*u(y). Let l be x(4). Does 11 divide 8\/20 + 626\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 14. Let z = f + -7. Let g = z + -12. Which is the second biggest value? (a) g (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 44*o\/3.\nAnswer: -2*o*(o - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 0. Let n(l) = -d*l + 9*l + 8*l + 1. Let b be n(1). What is the highest common divisor of 52 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5525702 and 910.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21210220222202 (base 3) in base 9?\nAnswer: 7726882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 232 = -3*v. Suppose 0 = 5*g - 3*l - v, g = l + 1 + 24. Calculate the highest common divisor of g and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*b + 435 - 2052 = 0, 3*b = -2*m + 1093. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 4088218?\nAnswer: -4088221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -10986.1?\nAnswer: 1098.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 104. Suppose -g*p = -19*p + 10. Suppose -4*j + 5*j - 3 = -3*d, d - j - p = 0. Solve d*q = q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004377409 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1852\/(-1389))\/((-8)\/(-84))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6437.347733 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157716 by 12132.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/11 - 63268*j**3\/11 + 8*j**2\/11 + 253072*j\/11 = 0?\nAnswer: -31634, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 151*k**4\/24 - k**3\/6 + k**2. Let m be q(1). Suppose 3*a = 9, 2*a - 1 = -5*g + m. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 616\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-5)*b\/(b**2*b)*(b\/(((b*b*b\/(b\/(b*b*b**1*b)))\/b)\/b))**(1\/11)*(b**(1\/4)\/(b*b**4*b*b))\/(b**(-1)*b\/(b**4\/b)*b*b*b) assuming b is positive.\nAnswer: b**(-133\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 0.05?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 721290 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341\/30 + -58\/15. What is the common denominator of g and (86\/20)\/(100\/125)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/15 and 73\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5706*n - 5994. Calculate o(-1).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let x(h) = -2072*h. Determine s(x(j)).\nAnswer: 6216*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -26*m. Let z(b) = -7*b. What is p(z(f))?\nAnswer: 182*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 1 + 6*g - 1. Suppose -26 = -3*d - 38. What is l(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*j - 16*j**2 + 150*j)*((-j**2 + 3 - 3)*(0*j + j + 0*j) + (-j**2 + 3*j**2 - 4*j**2)*(2*j + j - 2*j)).\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 83*f - 78*f = 344, -3*a - 5*f + 1022 = 0. Is 113 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:16 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -67, 6, 22213 in decreasing order.\nAnswer: 22213, 6, 5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 3050376.7, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 68*s**3 + 18*s + 12. Let m(j) = 5*j + 3. Give -4*m(z) + y(z).\nAnswer: 68*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {q: 1, s: 7, m: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104660 by 8.\nAnswer: -26165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1212664?\nAnswer: 1\/1212664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(24)\/sqrt(3) - sqrt(8))*-1 + 4 + sqrt(72).\nAnswer: 8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9\/5, -2\/19, -0.2, 0.121?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.981416 years?\nAnswer: 11.776992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 8*m - 7. Let n be p(9). Suppose y + 1 = n, -4*y + 628 = 4*i. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -299 + 460. Let o = 228 - m. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(4\/72 + 0). Is z equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(5 - (11 + -5)). Let v be (1 + -2)\/(2\/(-10)). Let t = v - 3. Is t greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-15) - 3)*-3. Suppose -w*f + f + 48 = 0. Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 92*g**2 - 115*g**2 - 3*g - 2*g - 60 + 6*g - 68.\nAnswer: -23*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -60140.5659 rounded to the nearest one thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.176 (c) -293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -7*b**2\/2 - 2*b - 34. Let s = 0 + -2. What is the units digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n - 1. Let h be g(-4). What is the remainder when (-56)\/(2 - h) + 1 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40042, 80081, 120144, 160243, 200390, 240597, 280876?\nAnswer: 321239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -20, -0.23, -2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -10 in descending order.\nAnswer: 6, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160824 is divided by 295.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 10) + 7 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -1499456577529*y**4\/2 - 4498374630679*y**3\/2 - 1499463924669*y**2 - 4898098*y - 4 = 0.\nAnswer: -2, -1, -2\/1224523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p + 8. Let c(y) = -4*y - 4. Let q(k) = -7*c(k) - 3*v(k). Let u = 8604 - 8600. What is q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 4. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 4 + 4*449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/110 and -14\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248\/(-5568) - (-2509)\/3900?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 6. Suppose -g - 5*x = u, 0*g = g + 4*x + 5. Solve 0 = g*s - 2*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:12 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - y - 2)*((1 - 5 + 3)*(0*y + 2*y + 4*y) - 7*y - 2*y + 3*y) as u*y**2 + c + b*y and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*z**2 - 66.\nAnswer: 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 8*c + 312. Let u = c - -161. Let i(p) = 2*p - 2. Let f(n) = -3*n + 3. Give u*i(w) + 4*f(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15891, -31793, -47707, -63633, -79571, -95521, -111483?\nAnswer: -127457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2986 - -3150. Calculate the greatest common divisor of b and 1517.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.4413 kilometers to millimeters.\nAnswer: 753441300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -529 + 529. Let i = 2 + -4. What is the closest to o in -0.06, 2\/11, i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11013 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14388, 114984, 387996, 919632, 1796100?\n\"Answer: 14368*d**3 + 20*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09292 + -42338578087.\nAnswer: -42338578086.90708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4*(-1)\/4)\/(280\/320)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312810?\nAnswer: 2, 3, 5, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*z + 23 + 24)*(-z + 2*z**2 + z)*(-1 - 4*z + z + z) + 0*z - z**4 + 0*z in the form c*z**3 + m*z**2 + s + i*z + j*z**4 and give c.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6364, 12728, 19092, 25456, 31820, 38184?\n\"Answer: 6364*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -3 + 3 + (124 - 151)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82 - 36*v + 82 + v - 5*v + 6*v + (2 - 3 + 2)*(v - v - 2*v) + 2*v - 2*v - 2*v + (0*v - v + 0*v)*(9 + 6 - 8)*(1 + 2 - 5).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from oopoppppxopxp?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 5*s + 10. Calculate m(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*l - 222*l + 657 = -4455 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.019362 * -1\nAnswer: 0.019362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-748*c + 1164 - 1164)*((0 + 3 - 2)*(-2 + 1 + 0) - 2 + 3 - 2) to the form f*c + p and give f.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.5372 to 1 dp.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1.9, 649\/142 in decreasing order.\nAnswer: 649\/142, 0.3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*b + 6 - 18 = 6, -5*s - 800 = 2*b - 821 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:15 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16374 + 42522. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*t - 2*t + 110, -4*t + 204 = 2*l. Calculate the remainder when 2252 is divided by t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.6 from 312.\nAnswer: 309.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/(-180) - (-8)\/(-20). Let m = -13\/42 + 25\/28. Let r = m - s. What is the nearest to r in -2, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94542 - -0.03\nAnswer: -94541.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9200 = -3*y - 9131 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -q + 7, 5*q - 18*i - 61 = -19*i. Solve 3*c = q - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60113.37 grams in milligrams?\nAnswer: 60113370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 - 177 - (-6 + (-2 - -4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/10 - -1) + 608\/570. Let l = 29 + -34. Which is the nearest to o? (a) l (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 38 + 4. Let s = -1187\/1803 - 5\/601. Which is the nearest to p? (a) -0.2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116.3 + -113. Let q = 5.3 - o. Which is the closest to 2\/9? (a) 0 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -1064.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1025?\nAnswer: -4\/1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-9)*(-12)\/(-10). Let m be (4\/(-10))\/(a\/2740). Let l = 401 + m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*z + z + 3, 4*h + 9 = -5*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 299 - 119 = 0. What is the second derivative of -h*g - 14*g + 522*g**3 - 533*g**3 - 2*g**5 wrt g?\nAnswer: -40*g**3 - 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -4, 78\/5 in ascending order.\nAnswer: -4, -2\/9, 78\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = -3. Suppose -14*d = -17*d - 3. Sort d, 3, w in descending order.\nAnswer: 3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from allall. What is prob of sequence llll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7525 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 45. Let q(n) = n - 1. Let a(c) = -4*c**2 + 9*c + 2. Let y(x) = w*q(x) - a(x). What is the second derivative of y(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54603830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143 or -202?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22 + 2 + 2 + 3. Let t be ((-3)\/(-5))\/((-3)\/w). Suppose l - 69 = -t*r + 29, -37 = -r + 4*l. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/19))\/(g*g*g**16)*((g\/(((g\/g**11)\/g)\/g))\/g)\/(g*g**(16\/3)))**(8\/5) assuming g is positive.\nAnswer: g**(-5096\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -3. Let s(m) = m**3 + 5*m**2 + 2. Let r be s(-5). Let t be 3 - (29\/6 - r). Put v, 1\/3, t in descending order.\nAnswer: 1\/3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16073163 (base 10) in base 15?\nAnswer: 1627643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*x + 30 = 0. Solve -j + 3*j + 14 = 3*t, -18 = t + x*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - d + d)*(2*d + 3*d - 6*d) + 3*d**4 + 226*d**2 - 226*d**2.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13041706.79 to the nearest one thousand.\nAnswer: 13042000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*32\/624*-13.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 5. Let g = 0 - 3. Let k = 12 + -7. Let a(r) = 1 + k*r + 3*r - 7*r + 0. What is g*a(z) + u(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26729 is divided by 702?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 1. Suppose -s*r - 95914 + 1175914 = 0. Suppose 2*c = -0*c + r. Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 3*s**5\/20 + s**2\/2 + 5*s. What is the derivative of k(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from faqslfqqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 9*q**2 - 12*q.\nAnswer: 3*q*(q - 4)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275)*-2)*4 - (sqrt(275) - 2*(-1 + sqrt(275) - sqrt(275))).\nAnswer: -25*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a + 15. Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 6*r**2 - 3*r**2)*(-57*r**2 + 9*r**2 - 26*r**2).\nAnswer: 148*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11*3\/9*((-370)\/(-55) + -7). Suppose 0*c + 25 = 5*c. Solve 6 - j = c*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 34728*j - 2*j**2 - 34732*j + 2*j**2 - 2*j**2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20727?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 8*n - 3. Determine p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckcwfcfkwc. Give prob of picking 2 k and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 3*c - 122. Calculate z(-13).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 12:34 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11306995 is divided by 1921?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/5)\/(y**33\/y)*((y*y**(-29))\/y)\/(y*y*y**(-5\/3)*y) assuming y is positive.\nAnswer: y**(-941\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-4)\/136410) + (-92 - -94) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(605) - sqrt(605)*2*-6)\/sqrt(11))\/((sqrt(1584)*-2 - sqrt(1584))*1 + sqrt(1584)).\nAnswer: -2 - 13*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 4869. Let l(y) = 10*y**2 - 24349. Give -2*l(f) + 11*x(f).\nAnswer: 2*f**2 - 4861","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 5*h**2 - 2*h**2. Let g(l) = 7*l**2. Let z be 4\/(-16) - 183\/(-12). Suppose 2*y - 7*y = z, 3*o = -3*y - 6. Calculate o*g(v) - 6*p(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 386 = 102. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501144 (base 6) to base 12.\nAnswer: -1a7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43445 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:23 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l)\/l)**(1\/9)\/(l\/(l\/(l*l**1)))**(-2) assuming l is positive.\nAnswer: l**(103\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2085396 by 7.\nAnswer: 2085396\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(w - 5*w + 2*w)*(-201*w - 299*w**3 + 201*w).\nAnswer: 1794*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) + sqrt(2904)*-3)\/(sqrt(24)\/(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: -44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-2\/5)*a)*a*a)\/a**(-4\/7))**5)**(15\/7))**(-15\/8) assuming a is positive.\nAnswer: a**(-2925\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c = -5*o + 1543, 5*c = 2*o + 1970. Suppose 10*w = -4*w + c. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1790353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10067416 divided by 8132\nAnswer: -1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 q when four letters picked without replacement from {y: 12, q: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 69743 times -283\nAnswer: -19737269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**3 + 25*z**2 + 702*z wrt z.\nAnswer: -18*z + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 11681634*q + 23363271.\nAnswer: -3*(q - 15575514)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -65*a**2 - 40*a - 40. Let o(f) = 5*f**2 + 3*f + 3. Let z(d) = 40*o(d) + 3*y(d). Let c(q) = 10*q**2. Calculate c(z(u)).\nAnswer: 250*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 5. Let y be m(0). Suppose y*o = -j + 11, 2*o + 0 = -2*j - 2. Suppose z + 7*u + 9 = o*u, -2*z - 3*u = 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:54 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*v = -1 + 45, 25 = -5*v. Let s be (-2)\/m*14\/7. Let w = 0.8079 - 0.5079. What is the biggest value in -1, s, w, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -13.9. Let w = v - -2. Let q = 36 - 106\/3. What is the second smallest value in q, -2\/17, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Let y be l(-4). Let b(r) = -54*r**3 - 36*r - 1 + 55*r**3 + r**2 + 35*r. Let a(w) = -w**3 - 2*w**2 + 2*w + 3. What is y*b(z) + a(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -a - 0*a. Let k be (3\/((-12)\/46))\/((-7)\/(-14)). Let h = a + k. Solve -2*y = 4*g - 8, 6*y - 1 = h*y + 3*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 3*u - 7, -u - 9 = -2*l. Suppose -c + l*c = 3. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -438*g**3 - g**2 + g. Suppose -6*u + 16 - 22 = 0. What are the prime factors of l(u)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.5, -2\/13, -2, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.5, -2\/13, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 42 - 42. Let y(c) = -2*c**2 + 2. Let i(n) = -92*n + 92*n + 11 - 10*n**2. Let m(p) = -2*i(p) + 11*y(p). Give a(m(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/9 equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11076 divided by 4\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 58*q + 60. Let l be n(-28). Suppose l*b - 1805 = 30*j - 29*j, 0 = 2*b + 2*j - 890. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. Suppose 78*l - 744 + 510 = 0. Sort 4, l, g in ascending order.\nAnswer: l, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147060482.\nAnswer: 2, 23, 1181, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25749 is divided by 480?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 54*s**4\/11 + 336*s**3\/11 + 666*s**2\/11 + 456*s\/11 + 72\/11 = 0.\nAnswer: -3, -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**3 - f**2 - 8*f + 1. Let u(t) be the third derivative of -t**6\/30 - t**5\/60 - t**4\/6 + 5*t**2 + 20. Let g(a) = -3*i(a) + 7*u(a). Give g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -590*q**6 + 1130*q**6 - 77*q**2 - 588*q**6 wrt q.\nAnswer: -5760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 = -88*o - 95 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/1056*-294 - (7 + -2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10063158 to the power of 1\/2, to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-10))\/((-38108)\/6685 + 6). Let f = -178\/11 - s. Which is the third biggest value? (a) f (b) -6 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 30)*(-22)\/33. Suppose t - h = 2. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 70*l = s + 67*l - 21, 2*s = -3*l - 45 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let f(q) be the first derivative of 4*q**3\/3 + 3*q + 2. Let i(a) be the first derivative of f(a). Determine w(i(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:16 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/4 - 3\/12. Let y = -3 + p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) 17\/4 (c) -1\/2 (d) 25 (e) -4\/7 (f) 336\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:00 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 83?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836586399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 180 = 7*s. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*k + 9*a**3*w**2 - a**3 + a*k*w**2 - a*k*w - 8*a - 4*k*w**2 wrt w?\nAnswer: 18*a**3 + 2*a*k - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 463345*s + 6023484. Determine w(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57620203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s - 7*s. Let v = 328 - 311. What is the least common multiple of v and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/5, 0.06, 0, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t + 21 - 6*t - 15*t**3 - 8*t - 2*t**4 - 2*t - 19 to the form i*t**2 + d*t**3 + g*t**4 + c + f*t and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 3*z - 5*z. Calculate the remainder when z is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13 + 5*c - 5 - 2 - 8. Let f(m) = -4*m + 3. Determine 2*f(t) + 3*p(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 413734303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + -107 + 189 - -99?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 3. Let p be 21\/(-14) - (-5)\/(-2). Suppose 9 = -4*h - k, -2*k = -3*h + 4*h + 11. Sort p, c, h in descending order.\nAnswer: h, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34157554 take away -128674?\nAnswer: -34028880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 2240c6?\nAnswer: -2240c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.03362 (b) 22 (c) -0.16 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 15. Let o be v(-11). Let y = 9 + o. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1.478\nAnswer: 1.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4 + 112651*h**3 + 3153609073*h**2 - 1069101044091*h + 1065947322366 = 0.\nAnswer: -56493, 1, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2038, -16194, -54592, -129352, -252594, -436438, -693004, -1034412?\nAnswer: -1472782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*j - 541 = 723 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q - 21 = 84*q - p - 3*p - 94, -3*p = -2*q + 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t + 75*t**2 - 4*t + 57 - 52 wrt t.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 431, 975, 1737, 2717, 3915?\nAnswer: 5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -624, -0.02 in ascending order.\nAnswer: -624, -2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let m(p) = -3009*p. Calculate m(x(j)).\nAnswer: 3009*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:00 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o**0*o)\/o*o*o*o*o*o))\/o)\/o*o*o**(-4)\/o)**(-1\/12) assuming o is positive.\nAnswer: o**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -206304 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 + 3*i**3 - i**4 + 6*i**3)*(0*i + 3*i + i).\nAnswer: -4*i**5 + 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162324291.\nAnswer: 53, 21930647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {s: 3, m: 3, v: 1, l: 1, u: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28 = -377. Suppose -t = 7*c - 10*c. What is the remainder when 52 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/7 - 3890*r + 26481175.\nAnswer: (r - 13615)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d - 6 = 0. What is the units digit of 14 + d\/6*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, -3, 3\/8, 0.041?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4423228.8 and 2?\nAnswer: -8846457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 + 64 = 2*k + 4*t, -4*k + 4*t + 988 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.88 - 87.88. What is the nearest to 0.1 in 1\/152, z, -2?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -0.71. Let v = -10.09 + h. Let y = -10.00056 - v. Round y 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 derivative of 4*l**5*n**2 - 14*l**4*n**3 + 2*l**2*n**3 + 2*l*n**3 - 337*n**3 wrt l?\nAnswer: 240*l**2*n**2 - 336*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-35)*(340\/8)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.7 minus 365035?\nAnswer: -364427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6 and 93\/7144?\nAnswer: 21432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - 14*p**3 - 18*p**3 + 27*p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(19)*-2)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25085 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2549\/5 - -511. Let v(m) be the first derivative of 0*m**2 - a*m**5 + 4*m + 0*m**3 + 10 + 0*m**4. Differentiate v(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 9 + 2 + 1568*a**3 - 1577*a**3.\nAnswer: -9*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/10 - 3*o**5\/5 + 2*o**3\/3 + 3*o. What is the second derivative of k(g) wrt g?\nAnswer: 36*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4888*c - 3993 with respect to c.\nAnswer: -4888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, -34, -3 in increasing order.\nAnswer: -34, -7, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -11*s**4\/4 + 8*s**2 + 11. Find the second derivative of i(y) wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from vvwvvwv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -653?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 2*b**4 - 11*b**3 - 8*b**2 + 20*b + 16.\nAnswer: (b - 2)**2*(b + 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d**3 + 128*d**2 - 631*d + 1. Give s(6).\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 141681 from 3.\nAnswer: -141678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93368 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) + -5*sqrt(85)*-3)))\/(sqrt(405) + (sqrt(405) - (sqrt(405)*1 - sqrt(405)))).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189042 - -275225. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 2*g, -3*g - 2*g + 2*u = -25. Solve -g = 5*x + 2*s, 7 = 2*x - 6*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73968 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 22.8. Let l be (-3 - -5)*(-2 - 25\/(-10)). Suppose w - l = 2. Which is the closest to 0.1? (a) w (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 71, 66, 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h**2 + 3*h - 3*h)*(0 + 0 + h) + 3*h**3 - 2*h**3 - 3*h**3 - h**3 + h**3 - 2*h**3)*(-1 + 4 - 1).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 132*j - 3024. Determine m(-28).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 473. Let z be m(51). Let h be 4 + 0 + 0\/(-1). Sort z, h, -2.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1570 times -1.6\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.116 + 0.1534. Let r = g - 0.06. What is r rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154645 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 51bcb0?\nAnswer: -51bcc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/47685 and -91\/10.\nAnswer: 95370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2821430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 3 = 7*x. What is the remainder when (4 - -14) + x\/(-1) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 19*u**2 + 346*u + 28. Let q(v) = 19*v**2 + 333*v + 28. Let l(i) = 5*a(i) - 6*q(i). Factor l(o).\nAnswer: -(o + 14)*(19*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 6*t**2 + 4*t - 4. Let n be p(4). Let k = 64 - n. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u*(u**(-5)*u)\/u)\/(u\/(u*(u**(-2\/3)\/u)\/u))**21 assuming u is positive.\nAnswer: u**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10327\/15 - 10324\/15. Solve o*d**2 - 3 - 2\/5*d = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 204889279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109, 210, 307, 394, 465?\n\"Answer: -x**3 + 4*x**2 + 96*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w + 9534 - 71733. What are the prime factors of w?\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44964414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25271.7636 plus 10.01?\nAnswer: -25261.7536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:16 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839528612 - -244.\nAnswer: 839528856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1045)\/(-57) - 19)\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 11*l - 19. Calculate j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*q + 63, -f + 2*f = -5*q + 3. Suppose -36*w + 37*w + 63 = 0. Calculate the remainder when 14\/w - ((-922)\/f - -1) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 36446*i\/5 - 255024\/5.\nAnswer: -2*(i + 7)*(i + 18216)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-6)\/(-84) + (-72)\/(-7). Suppose 56*i + v = 57*i. Solve 3*k - k = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15726143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-16))\/(-3)*(-12)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 964249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 - 2*t + 7. Let y(h) = -2*h**3 + 9*h**2 + 3*h - 13. Let u be (-48)\/15 - 1\/(-5). Let m(p) = u*y(p) - 5*s(p). Is 15 a factor of m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 72*v**2 - 7*v + 3. Let y(q) = -36*q**2 + 4*q - 2. Give -4*w(k) - 7*y(k).\nAnswer: -36*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-35) + 44\/(-10). Let r = 9 + g. Suppose r*p = 25 + 30. Solve m - 3*f + 14 = 0, 3*f - 8 - p = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -182*i**3 - 156*i + 156. Let z(c) = 91*c + 820. Let g be z(-9). Let q(t) = t**3 + t - 1. Determine g*n(k) + 156*q(k).\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949 divided by -6.\nAnswer: -949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 411\/(-2)*(-8)\/12. Let j = -81 + d. Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -52, -126, -230, -364, -528, -722?\n\"Answer: -15*z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17876\/2993 + (-72)\/(-2628)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*q - 2525 = 2*q - 2437 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1015598 and 908.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9c4a (base 13) to base 11\nAnswer: -15476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyprpyryyypypypyp. Give prob of picking 2 y and 2 r.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -220*t + 201*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 - f**3 + f**2\/2 - 144*f. Let h be (-10)\/8*(0 - 4). Find the common denominator of d(h) and -95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2078 + -2083. Let a(q) = -q**3 - 4*q**2 + 8*q + 15. Determine a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -7, -16, -29, -46, -67?\n\"Answer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 26 + -21 + (-1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 2\/11, 3, 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33066135811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 96 - 60 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15)\/z**(2\/17) assuming z is positive.\nAnswer: z**(-257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/1089*4)\/((-205)\/15 - -13).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 847, 1707, 2593, 3517, 4491, 5527, 6637, 7833?\n\"Answer: 2*l**3 + l**2 + 843*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + p = -5 + 1, 0 = -4*i + 3*p + 8. Suppose -i*m = -m. Which is the smallest value? (a) m (b) -1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**4*m - 82*j**3*m**2*s + j**3*s**3 + 42*j**2*m*s**3 + 2*j**2*s**3 - j*m**2*s**3 - 2*j*m*s**3 wrt j.\nAnswer: -216*j*m - 492*m**2*s + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5820 is divided by 92?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -17*y**6\/30 - 32*y**3\/3 - 47*y - 54. Let z(f) be the first derivative of v(f). What is the second derivative of z(s) wrt s?\nAnswer: -204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6473356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -11 + 14 + 9 + -45 + 2 + -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-11 - (-23 + -3)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*-8*4 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 4 = 19*v. Calculate the smallest common multiple of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85065*c - 66 + c**2 + 85065*c.\nAnswer: c**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000058 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(84))\/(2*-1*-2*sqrt(3)) + 4.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277548*x**2 + 16*x - 6806 wrt x.\nAnswer: 555096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03088423035 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160534280 divided by -80267140.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let l = d - -26. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Calculate 0 + 111944.\nAnswer: 111944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u + 4. Solve -25 = -2*h - u*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.1 + -30.100013405. What is a rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 28 - 28)*(-4*f + 2*f + 0*f) - f + f - f**2 as g*f**2 + c + z*f and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -21.629\nAnswer: -86.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2372, 1 in ascending order.\nAnswer: -4, 1, 2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165310, -165563, -165816, -166069, -166322, -166575?\nAnswer: -166828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 + 6 - 2*h + 3*h + h**2. What is the units digit of x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7 * 0.1.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3. Let z be s(4). Let l(c) = 6*c - 9. Let m(b) = -2*b + 3. Let v(o) = -2*l(o) - 7*m(o). Let q(a) = a - 1. Calculate z*v(i) - 3*q(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -462*f + 24010. What is k(52)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -52418 divided by 11\nAnswer: -52418\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14905884 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.5. Let s = -0.7 - w. Let z be (-8)\/168*-7 - (-2)\/(-12). Which is the smallest value? (a) z (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -2*h**3 - 13*h**2\/2 + 46*h. Let m be u(-1). Let y(k) = k**2. Let t(q) = 3*q**3 + 6*q**2. What is m*t(n) + 6*y(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yyvywwewyyyyywyyywyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.147495 to 2 dps.\nAnswer: 8.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/108 and 29\/546.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 8:17 AM?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 7\/4, 19, 1, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1872, 7487, 16846, 29949, 46796, 67387?\n\"Answer: 1872*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 3. Let z(j) = -2*j - 4. Suppose -20 = -5*r, -4*v = v + 2*r + 17. Let c(g) = v*z(g) - 6*b(g). Let w be 0\/(-2) + -3 + 7. Calculate c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 2)*(-4)\/6. Suppose -n*m + 6*r - 56 = r, -2*r = -2*m - 28. Round m to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52542 and 40449?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {m: 2, v: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -2\/19 (c) -0.22 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 417 = 78*f. Solve -f*x + 5*w = -2*x + 15, -3*x + 5*w = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 + -3 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzmzzmz. Give prob of picking 4 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70836313\/60984 - -10454\/9. Let r = 12581\/20328 - n. Does 2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from {y: 3, n: 2, c: 3, t: 1, w: 2, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 84 - 44. Let h be -42 - (-4 - -2) - (-14)\/(-7). Let k = g - h. Solve -4*l - k = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwaxacclxcplxpppxxc. What is prob of sequence wxca?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2 = 3*r, -l - 3*l + 3*r - 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2246171 decades to years.\nAnswer: 2.246171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 831263*b + 654774 wrt b?\nAnswer: 831263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 + 39*m**2 + 484530*m + 378826492.\nAnswer: 3*m**2 + 78*m + 484530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a microgram in nanograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2\/11, 6, 1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.2, 4, -22, 1.2, 1\/187?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3, 635.4, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2464383063 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -29*o**6\/24 - 265*o**5\/2 + 513*o**2 + 3*o. Find the third derivative of x(b) wrt b.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 6*o. Let b(x) = x**2 - 5*x. Suppose -5*p + 3*p = -10. Let a(j) = p*s(j) + 6*b(j). Let d(z) = z**2. Calculate d(a(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -3*y + 23, -2*y = -3*f - 1. Let g = -8 - -14. Let q be (-8)\/(-6)*(-9)\/g. Sort -4, f, q in descending order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 775.8064g?\nAnswer: 775806.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:42 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*w + 52*w + 14 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 69. Suppose -1041 = d - 5*d + a, q = -4*d + 2*a + 1038. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121241 (base 5) to base 11\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 11:04 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895469752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29964282727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 + (-780)\/(-4368).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*6\/2. Let p = -3 - v. Let m(c) = c**3 + 20*c**2 + 21*c + 35. Let b be m(-19). Sort b, 1, p in ascending order.\nAnswer: b, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 4. Let y be b(-4). Let j be ((-12)\/8)\/((-3)\/(-6)). Let v be j - (-9)\/(63\/35). Solve v*i + 2*i = y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5156*s - 2046926. What is m(-397)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (392\/(-24) + 3)\/((-4)\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*12264\nAnswer: -52735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 31 + 8*h)*(-2*h + 4*h + 6*h + (h + 2*h - 5*h)*(5 - 2 - 2)) + (3 - 3 + 2*h)*(-2*h + 0 + 0) to the form y + p*h**2 + a*h and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7169*z**2 - 14042*z**2 + 7031*z**2 + 4*z - 3*z**2 + z**2 + 3*z**2 + (0*z**2 + 0*z**2 - 2*z**2)*(2 + 0 - 4).\nAnswer: 163*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219b9 (base 13) to base 12.\nAnswer: 2b368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: dda5 (base 16) to base 10\nAnswer: 56741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. Let x(v) = -v + 5 - 10 + u. Let c(m) = m**3 - 11*m**2 + 11*m - 14. Let s be c(10). What is x(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/872 (b) -0.4 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)*p)\/p*p*p**4\/p*(p*p**1)**(2\/41))\/((p\/(p**(1\/5)\/p))\/p*p*p*p*p*p*p*(p*((p*p**(4\/7)*p)\/p)\/p*p)\/p*p)**(-2\/17) assuming p is positive.\nAnswer: p**(117098\/24395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -11922.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -546, 0.12, 6, 2\/165, -1\/7 in descending order.\nAnswer: 6, 0.12, 2\/165, -1\/7, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(7\/2))\/((b**19*b)\/b) assuming b is positive.\nAnswer: b**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 + 14*r**2 - 2*r - 40. Calculate d(-8).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 + n**3 + 3*n**3)*(-1 - 3 + n**2 + n**2) - 2*n + 2*n - n**5.\nAnswer: -9*n**5 + 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 3*w)*(w + 4*w + 0*w) + (-4*w - 2*w + 12*w)*(3*w - 2*w + 0*w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(175) + -1) + 4)**2 - ((2*sqrt(175) + sqrt(175))*-3 + 2) - (3 + 1*sqrt(175) + -3 + (sqrt(175) + -1 + -2 - sqrt(175)))**2.\nAnswer: 14 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 16. Let t be r(-11). Let v(q) = q**3 + 6*q**2 + q - 4. Does 4 divide v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2674*t**5 - 59*t**4 - 6*t**2 - 17238*t wrt t.\nAnswer: 160440*t**2 - 1416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 648\/13392*(-12)\/9?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84423, -168861, -253299, -337737, -422175, -506613?\n\"Answer: -84438*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 + 6*d + 18. Let u be r(8). Suppose -3*m + 0*a - 3*a = -534, -u*a = -6. Which is bigger: 174 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 times 14405?\nAnswer: 87870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -232 (b) 2\/5 (c) -3 (d) 7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*x - 11*x**5 - 27*x + (2*x**3 + 0*x**3 + 0*x**3)*(x**2 + 2*x**2 - 4*x**2) + 0*x**5 + 4*x**5 - 3*x**5.\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {k: 5, s: 8, p: 2, a: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40668808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5*y + 97575*u**4*y + u**2*y - 192815*u*y wrt u.\nAnswer: 120*u**2*y + 2341800*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - n + 2. Let l be 128\/13 - 10\/(-65). Suppose -6*s = -s + l. Let t(k) = k**2 + k + 1. Let f(o) = s*t(o) + d(o). Let f(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.6 - -38. Let i = -57.6 - w. Which is the smallest value? (a) i (b) 3 (c) 4 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45676, -91699, -138064, -184771, -231820, -279211?\nAnswer: -326944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*z**3 - 124*z**3 - 3*z + z**4 + 9 - 11 as r + w*z**3 + s*z**2 + c*z**4 + v*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/40 and 11\/53315.\nAnswer: 426520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}