{"text":"Question: Which is greater: 0 or -1\/155266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, p: 2, m: 1, r: 1, w: 2, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7041565*r**4 + 2*r**3 + 10*r**2 - 213782707*r wrt r.\nAnswer: 84498780*r**2 + 12*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 3) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -113188*l. Let o(i) = 2*i. Calculate o(s(d)).\nAnswer: -226376*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 209086 + -12336430\/59. Let p be ((-22146)\/(-180))\/((-354)\/(-27)). Let n = p + r. Find the common denominator of n and 31\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zbzbzzzzbb. Give prob of picking 2 b and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - 0.5. Let f = -0.7 + g. Round f to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f = 386 - 56. What is the remainder when 24 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 14*t - 94. Determine p(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 15049*i**2 + 193*i + 10. Let j be l(5). Round j to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -2 - (102 + (-48 - -13) + (-27 - -41)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -123 and 8784.\nAnswer: 8661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*i*t**2 - 21*i*t - 52528*i - 851*t**2 - 68 with respect to t.\nAnswer: -50*i*t - 21*i - 1702*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**5 + 6*g**5 - 5*g**5 + (0*g**4 + g**4 + g**4)*(0*g + 2*g + 0*g) - g**3 + g**3 + g**5.\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -207 <= -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 459996 = 2*o - 3*w, 0 = -4*o + 4*w + 920016. Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = y - 5*r, 4*r + 19 + 9 = 3*y. Suppose 0 = -4*m + 5*c + 3180, -4*m + y*c = 7*c - 3212. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p + 7*p = 0. Let h(m) be the second derivative of p*m**3 + 2*m + 0 + 0*m**2 - 1\/12*m**4. Let j(k) = -3*k**2. Give h(j(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from eagnuce.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t**2 - 11*t - 27. Let r be p(-2). Solve 0 = -2*s - 3*s + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108900 by 4.\nAnswer: -27225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -846*r**3 + 326*r**3 - 5*r**4 - 454*r**3 + 0*r**4 + 3*r**4 - 5*r**4 + 3*r**4 + (0*r**2 - r**4 + 0*r**2)*(-4 + 2 + 0) + 0*r + 0*r - r**4.\nAnswer: -3*r**4 - 974*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + 42 + (-7 - -3). Let v = -40 + x. Let l(s) = 5*s**2 - 2*s + 2. Let t be l(v). Solve -t = 4*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -8*d - 58. Calculate w(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b6 + 2e48?\nAnswer: 310e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 46 + ((-75)\/(-5))\/5. Let g = a - -117. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-12)*540\/378)\/(16\/(-3)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from {t: 7, l: 2, j: 1, s: 1, r: 2, f: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -158 + 181. Let b = -12 + 29. What is the remainder when n is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28938, 57894, 86884, 115926, 145038, 174238, 203544, 232974?\nAnswer: 262546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102101100 + -21?\nAnswer: 102101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*f + 2, 4*a - 4*f + 9 = 3*a. Let x be (-2)\/2 + (-10)\/(-2). Suppose 8 = 3*y - x. Put a, y, -2 in descending order.\nAnswer: y, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t**3 + 205*t**2 + 974*t + 76721. What is c(-69)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*i + 5*w + 9464, 5*i + 23624 = 4*w. Does 9 divide 4\/22 + i\/(-132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 10*n**5\/3 - 16*n**4 + 4*n**3 + 136*n**2\/3 - 2*n - 24 = 0?\nAnswer: -1, 4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 times 34\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -20 and 351.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1\/4, 4\/7, -50, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 10*z**2 - 24*z - 29. Let j be w(5). What is the second smallest value in 1\/2, j, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u - u)*(2 - 2 + u**2)*(-1 - 3 + 3).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. Let y = 0.07 - 0.07. What is the nearest to y in 1\/4, -3, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2 - 10*c. Give v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2. Let h(w) be the second derivative of 3*w**4\/2 - 12*w. What is h(c(u))?\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2209*j**2 + 1823*j**2 - 2450*j**2 to the form q*j**2 + o + z*j and give q.\nAnswer: -2836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 370, 378, 392, 412, 438, 470, 508?\n\"Answer: 3*i**2 - i + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 6, s: 10, a: 1}. What is prob of picking 1 n and 2 s?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08691 rounded to three dps?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 3. Suppose -4*a - a = -h. Suppose 0 = a*f + 1 - 23. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39886 (base 10) in base 7?\nAnswer: 224200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 23*w**2 - 5*w - 5. Let i(s) = s**3 - 4*s**2 - 6*s + 4. Let r be i(5). What is the remainder when a(r) is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.16, 0.3, -5, 128, 1\/90, 0.1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84245.78nm to centimeters.\nAnswer: 0.008424578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -316*p + 3485. What is c(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1216))*-1)**2 + -5 + ((sqrt(1216) + -1)*-1)**2 + -5 + (sqrt(1216) - (1 + sqrt(1216)))**2 + 1.\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23503 + -4148. Let n be (2\/(-4))\/(-4 + m\/4840). What is the units digit of (0 + 1)\/(488\/n + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 418 and 384?\nAnswer: 80256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1173, -348, -5.\nAnswer: -348, -5, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1377053?\nAnswer: 47, 83, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1b8c (base 15) to base 7\nAnswer: 23304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nq when two letters picked without replacement from ppuuuupnippsnpnuqpuu?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/19849725 and 89\/504120?\nAnswer: 158797800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -7294050 times 0.79\nAnswer: -5762299.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 7 = -3*p, -4*p + 9*p = 5*i - 35 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -w**7\/2520 + w**6\/80 - 11*w**4\/24 - 23*w**2. Let p(t) be the second derivative of b(t). Determine p(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 542\/3 + -10292\/57. Which is the fourth smallest value?  (a) -0.5  (b) j  (c) 0.9  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllokllklooolkok. Give prob of sequence ll.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1\/2)*k**(-2\/9))\/((k*k**(1\/2))\/k**9) assuming k is positive.\nAnswer: k**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 4*k + 34, 3*j - 31 = -0*k + 4*k. Let o(l) = l**2 + 4*l - 63. Calculate o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -657 - -667. Round m to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 104\/28 - 22\/(-77). Suppose 4*x + 5 = -5*a + 106, t*a + 3*x = 80. Solve 2 = k - w, -5*k + a = -w + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 950440927?\nAnswer: 373, 383, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-8)\/(f\/f**(-2))*(f**(-1\/5)\/f)**(3\/4) assuming f is positive.\nAnswer: f**(-119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -272 minus -93?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -12*n + 104. Let w be q(0). Let a = w - 101. Let l be 0 - (1 + 1) - 2. Sort -5, a, l in ascending order.\nAnswer: -5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 1025 = 12*x. Let m = 267 + x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1)*-5*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1333*p**2 + 4*p - 42212 with respect to p.\nAnswer: 2666*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -17*f + 7. Let a be x(-6). Let j be (-3)\/(-6) + a\/2. What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2572829665?\nAnswer: 5, 7, 73509419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -240\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36172, 36290, 36418, 36562, 36728, 36922?\nAnswer: 37150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (81\/(-75) + (-6)\/(-10))\/(108\/(-360)). Suppose 8\/5*j - 6\/5*j**3 - l*j**2 + 8\/5*j**4 - 2\/5*j**5 + 0 = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = 2*m. Let f(j) = 2*j**2 + j - 1. Let t be f(m). Suppose -4*w - 2*i + 20 = -i, t*w - 10 = 2*i. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -487 + 132. Let x = z + 324.2. Round x to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 8) + -34 + 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 4*j - 44 = 0. Let u(w) = w - 4. What is the remainder when 11 is divided by u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 - 7*y**3 + 60.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-14))\/(56\/112).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4*h**3 - h**2 + 1. Let m be u(-1). Let l be ((-3)\/9)\/((-1)\/3). Suppose 9 = m*i + l. What is the third biggest value in -4, 2\/15, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 186*t - 29. Let o be a(4). Let l = 1135 - o. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 902*m + 57713 = -316*m - 4*m - 35159 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 80 = 12*h. Suppose h*m = 6*m - 76. Are m and -15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 1 - 11 - -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r + 4. Let d(u) = 64*u - 27*u - 36*u - 1. Let m(t) = t**3 - 11*t**2 + 12*t - 24. Let g be m(10). What is g*k(x) - 18*d(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/3))**(-1\/10)\/((b\/((b\/(b**(2\/11)*b)*b)\/b)*b)\/((b*b**(3\/7))\/b))*(((b**(-3\/8)\/b)\/b)\/b*b*b**0)**(-16) assuming b is positive.\nAnswer: b**(83807\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/3 + 50285659*l\/3 + 33523774.\nAnswer: -(l - 50285661)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 207, 212, 221, 234?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 2*x**2 + 4*x - 1. Let u be p(3). Let n be 3\/6 - (-3)\/2. Solve 0 = u*d + n - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cllllcclcll. What is prob of picking 2 c and 1 l?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -0*z + 2*t - 18, 2*t - 6 = -z. What is the remainder when 118 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 17 = 3*r. Suppose 4*a = -5*f + r, -f + 5*a = -2*f + 16. Let v = f - -18. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -33718*b**2 - 11176 wrt b.\nAnswer: -67436*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that l**3 + 9*l**2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (62\/(-12) - (-1)\/6) + 117\/24. Let t = -0.016 + -22.984. Let u = t - -19. Which is the smallest value?  (a) 1  (b) o  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 13*j - 27 = 0. Let i be ((-4)\/16)\/(j\/12)*0. Sort i, -3, -1.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -18. Suppose p*q - 725 = -3*j + 340, -1045 = -5*q + j. Suppose 0 = 4*i + 34 - q. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1500697 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 210, 211, 212, 213, 214, 215?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 - 60 - (-4 + (16 - (11 - 1)))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10)\/(-15))\/((-2)\/33). Let s(o) be the second derivative of -o**4\/12 - 8*o**3\/3 - o**2 - 3*o. Is s(h) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 159605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + sqrt(1539) + sqrt(1539) + -1 + 3 + sqrt(1539)))**2 - -6*((-2*sqrt(1539)*-1)**2 + 5).\nAnswer: 4050*sqrt(19) + 383466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*l - 10 = 0, g + 4*g + 3*l = -17. Let u be 14 - (2\/(-2))\/g. Suppose -u = -s - 6. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f - 7. Suppose -t + 2 = -2. Suppose -1 = t*g - 13. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from oodqpdpotoopqooodo.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16992.79 - -17242. Round d to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 987 and 3.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**4\/4 + 33339*y**3\/2 + 1108818601*y**2\/4 - 22256449620*y + 445663056400 = 0?\nAnswer: -33379, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 25 = -3*j, 9*j - 2*a + 11 = 8*j. Let d be 1\/(-2)*(0 - 2). What is the remainder when 11 is divided by (j\/(1\/d))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 1739*d - 401705. Determine z(231).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.3  (b) -209  (c) 0.2  (d) -2\/17  (e) 35  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -1\/2  (c) 1\/7  (d) -67\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = x + 208. Suppose -x = -4*p - 0. Let h = p + -7. Calculate the greatest common divisor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 6*y + 5*y**2 + 2*y**2. Let h(a) be the first derivative of 2*a**3 - 7*a**2\/2 - 2. What is 7*d(b) - 6*h(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-159500)\/(-75))\/(-220) - ((-7)\/3)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.291 - -1.833. Let x = r + 3.433. Let z = 6.5 - x. Round z to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + -1*sqrt(468)*1 + -2*((sqrt(468) + 0 + sqrt(468) - sqrt(468))**2 + sqrt(468))).\nAnswer: 54*sqrt(13) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 25.4371 and 0.1.\nAnswer: 25.5371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and (-368)\/28*(-14)\/4.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 18*a + 28. Let u be f(-19). Let d(k) = -k + 13. Let x be d(u). Let y be (x + 0 - -27) + 3. What is the greatest common divisor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 a factor of -6*(-15 - 95186\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-6))\/((-14)\/(-12) - 1). Is 15 a factor of -25*114*f\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 6, -2*v + 4*v - 5*c = -6. Let i be ((v\/4)\/(-1))\/(2\/(-16)). Let w be 3\/(i - 51\/15). Solve -20 = w*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b + 4. Let j be d(0). Let q(w) = w**3 - 3*w**2 - 2*w - 5. Let z be q(j). Suppose 0 = -2*t + 3*t + z. Is t not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1411 + 1408. What is the smallest value in -1\/4, -2\/5, -7, w, 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p = 25522 - 1792. Let i = -1018 + p. List the prime factors of i.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11, -19, -27, -35?\n\"Answer: -8*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-54 + 4*s + 14 + 59)*(4*s - s**2 - 4*s)*(-4 - 1 + 3) in the form b + w*s**3 + j*s**2 + q*s and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 5*t**2 + 3*t - 1. What is the remainder when f(-3) is divided by (-356)\/(-22) + 2\/(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*p - 340*p = 36 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -8, -4*n + 2*x + 88 = -184. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 - 19 + 11 - j + 10. Let l be (-168)\/91 - (-4)\/(-26). Determine m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**3 + 0*x - x**3 - 3 + 0 - 2*x - 4*x**2. Let y be d(4). Let k(n) = -n**2 - 15*n - 13. Is k(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 900 + -446. Suppose -5*d + 2250 = h, d + 2*h - n = -4. Let w = -301 + d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63 + 83 + -100 + -11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 8*l**2 - 174*l + 6. Calculate z(21).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -178.997?\nAnswer: 53.6991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46941530*w**2 + 52679342*w wrt w.\nAnswer: 93883060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 298*g**3\/9 + 902*g**2\/9 + 8*g\/3 = 0. Calculate g.\nAnswer: -3, -4\/149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, 1\/6, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**5\/60 - 5*b**2. Let c(t) = t. What is q(c(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-2*304\/76?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 331021 * 4\nAnswer: 1324084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1044, -2103, -3162, -4221, -5280?\n\"Answer: -1059*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -241742, -241744, -241744, -241742, -241738?\nAnswer: -241732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 179 - 2*u**4 - 347*u**3 + u - 138 - 336*u**3 + 674*u**3 to the form s + m*u**3 + p*u + v*u**2 + a*u**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -87314, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 1\/4, -1\/33, -5, 0.11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a + 29. Let s be j(14). Sort 3, s, -4 in increasing order.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -639 + 659 = -2*d + 2*o, 143*d + 2*o - 119 = 46*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -31. Let j = v - 13.5. Let c = -5.2 + j. Round c to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 - 3. Let g be 9 - (1 - 4 - -1 - -1). Suppose 32 = -4*k - 4*z, 3*z - g = 2*k - z. What are the prime factors of t(k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4*14014\nAnswer: 56056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 578*r**5\/5 + 63138*r**4\/5 - 537736*r**3\/5 - 1481664*r**2\/5 - 325888*r\/5 - 3744 = 0.\nAnswer: -117, -2, -2\/17, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58170 by 554.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*r**4 - 47*r**4 - 15*r**2 + 34*r**2 + 27*r**2 wrt r.\nAnswer: -912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -16*b**2 + b. Let q(z) = 13446*z**2. Determine v(q(y)).\nAnswer: -2892718656*y**4 + 13446*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13379 - -2?\nAnswer: -13377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c + 966. Let t(a) = 2*a. Calculate t(b(s)).\nAnswer: 4*s + 1932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -116*y + 466. Let l be b(4). Solve l*x = -f - 1, x = 2*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -405*q**2 + 18*q**3 + 0 - 1\/5*q**4 + 0*q.\nAnswer: -q**2*(q - 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 419630 is divided by 268?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 9. Let p be 14\/6 + (-11)\/33. Suppose -9 = -i - r, p*i - r - k*r - 11 = 0. Solve 4*v - i*v = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 81*v - 16. Let q(y) = -163*y + 35. Calculate -5*a(s) - 2*q(s).\nAnswer: -79*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-10) + (-231)\/(-560). Let o(z) be the second derivative of 0 + r*z**5 + 1\/8*z**3 + 2*z + 1\/8*z**2 + 1\/16*z**4. Solve o(w) = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 10. Which is the closest to i?  (a) 3  (b) -2\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 241.02 + -243. Let d = c + -0.02. What is the nearest to 0 in d, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5052 + -922. Round r to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-25)\/(-4080) + (-2 + 2)\/1. Let x = o + 6829\/816. Let n = -2721\/20 + 521\/4. Calculate the common denominator of x and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 6*m + 4*b - 7, 5*m - b + 13 = 0. Suppose 0 = -2*u - z + 15, 0*z = -u + 3*z + 4. What is the remainder when -30*m\/(9\/2) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3 - 94*r**2 - 1206*r - 4698.\nAnswer: -2*(r + 9)**2*(r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**5\/19 + 386*h**4\/19 - 7056*h**3\/19 + 18160*h**2\/19 + 109600*h\/19 + 84000\/19 = 0. What is h?\nAnswer: -210, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from dgddgg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 49171113 divided by 37?\nAnswer: 1328949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13\/3, 2\/45, -4, 4\/7.\nAnswer: -4, 2\/45, 4\/7, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.6 + -3. Suppose -4*x - t + 19 + 0 = 0, -4*x + 2*t + 22 = 0. Which is the third biggest value?  (a) h  (b) x  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 452 - -2322?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c - 7. Let y be q(-5). Suppose 15 = -3*v + y*j, -4*j + 14 = 3*v - 6. Let l = -335 - -338. Solve -4*d - p = -v*p + 17, d = -l*p - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 - 4*v**3 + 18)*(0*v + v + 2*v) - 4*v**4 + 3*v**4 - v**4.\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1630*z**3 - 2*z - 21778.\nAnswer: -4890*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100324342 (base 6) in base 9?\nAnswer: -24150828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 5*n + 9. Let o be l(5). Let g be (-1)\/(-3) - (-24)\/o. Suppose -g + 23 = 4*f. Solve -h = p - 2*p - 3, 4*h + f*p = -6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 9:30 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m = 6*m. Solve m + 1 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 3)*(4143694 + 1047*f - 4143694) to g + j*f and give j.\nAnswer: -2094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**4 - 2*g - 18*g**3 + 107 + 4*g**2 - 107 + 0*g**4 to the form n + o*g**2 + w*g + v*g**3 + m*g**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 0*p + 20. Let a be (-28)\/(-7) + 1\/(-3)*0. Sort a, p, 1, 3 in descending order.\nAnswer: a, 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*h - 17*h + 6*h - 6*h**3 - 14*h**3 + 2*h**3.\nAnswer: -18*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 14, 1281 in increasing order.\nAnswer: -2, 14, 1281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.8 + 0.8. Sort 2\/11, 3\/2, v.\nAnswer: v, 2\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -241401542 (base 7) in base 4?\nAnswer: -321100113311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p + 39 = 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113*p**4 + 1225 - 1225 + 5*p**2 wrt p.\nAnswer: 2712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15924 and 102498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*o**2 - 4 - o.\nAnswer: (o - 4)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - v + 2 = 0, v + 2 = 4*b - 10. Suppose -b*f + 3*o + 142 = 2*o, -2*f + 3*o = -142. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34258864\/1316 - (6\/14)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11*(-66)\/605)\/(((-1)\/(-1))\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -s**4\/12 + 13*s**3\/6 - 5*s**2 + 4*s. Let w be k(12). Solve w = 2*j + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2232198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10110 = -624*j + 619*j. What is the remainder when j is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in twenty-seven halves of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j - 8. Let q be y(-5). Let k(n) = 19*n - 1. Let s be k(1). Let z = s + q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 - 9c2?\nAnswer: -9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3071 + 3092. What is the highest common factor of l and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-720)\/(-1680) - (-38)\/(-56).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 10*r**2 - 12*r - 13. Suppose o - 3*x + 6 = 0, -4*x - 1 = 3. Let z be t(o). Let m be (z\/18)\/(-1) + 1. Which is smaller: 0.1 or m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/99*(12\/8 - 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553156841 at most 553156841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 9:23 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 20 = -5*w, 0 = -5*w + 6*g - 2*g - 20. Let f = 102 + -103. Let h = 0 + 0.1. What is the closest to h in 0, w, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284*o - 73516 - 42976 = 72368. What is the highest common divisor of o and 2128?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 9 = 40. Let f = 33 - g. Solve -3*c - f*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.047 times -268\nAnswer: -12.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 847875434+0.08\nAnswer: 847875434.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1649895 divided by 5.\nAnswer: -329979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 473\/216443 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -69594 divided by 6?\nAnswer: -11599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66\/8 + (-1)\/4 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -5*i - 8. What is the lowest common multiple of 18 and q(-6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13 - (0 + 3)\/3. Calculate the remainder when f\/5*(-60)\/(-18) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-36)\/(-162) - 122\/(-18). Suppose -4*h = 16, -c*h + 2*h - 147 = -p. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1455 (base 16) to base 13.\nAnswer: 24a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 34, 30, 36, 58, 102, 174?\n\"Answer: c**3 - c**2 - 8*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l + 0*l + 2*l**2)*(8*l**2 - 9*l**2 - 4*l**2) + (-6*l - 21 + 21)*(4*l**3 - 2*l**3 + 3*l**3) to u*l + w*l**4 + t*l**3 + y*l**2 + m and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 40, 3, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-38)\/(-57) + 16\/3. Let c(m) = -2*m + 3. Calculate c(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11946 or 7344?\nAnswer: 7344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p + 5. Let y = -9 + 14. Let x be l(y). Suppose -2*b + x + 24 = 0. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.5, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (28\/6 - 5)*3*-50. Suppose -9*f = -7*f - t. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/199 + -7383\/3980. Find the common denominator of 2\/(-4) + 19\/(-8) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 109*j - 6*j**2 + 155*j**3 - 54*j**3 - 17 - 54*j**3 - 45*j**3 in the form f + q*j**3 + n*j**2 + g*j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k + 1384 - 90 + 814)*(-3 + 3 - 1) as n*k + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-20 + 4 + (52 - 33) + 31).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 - 10*h**2 - 16*h - 11. Give s(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + a - 3*a)*(-6 + 3 + 4) - 2*a + 3*a - 3*a + 8*a + 6*a + 2*a + (0*a - 2*a + a)*(-1 + 3 - 3) + 2 - 2 + 2*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 4*b**2 - 8*b. Suppose 0 = 2*s - 3*s + 13. Let v = 7 - s. Let i(l) = -6*l + 11*l**2 - 3*l**3 - 24*l + 7*l. Determine v*i(c) + 17*t(c).\nAnswer: c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41 + -72. Let q = -26 - w. Solve -2*o + 3*k = 2, o + 0*o = q*k - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360) - 5*2*sqrt(360))\/((sqrt(242) + sqrt(242)*-2 - sqrt(10)\/sqrt(80))*4))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, -3\/4, -8468, -4.3, 2?\nAnswer: -8468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6*k + 17. Determine c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -p + 2*b, 4*p - 34*b = -31*b + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.62 + -0.72. Is f greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1630682931 and 1.5.\nAnswer: -1630682929.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/105 and 53\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + m - 1519 = 0, 4*q - 2*m + 941 = -581. Let x = 6445\/17 + q. What is the biggest value in 1\/4, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5125 is divided by 92.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 262*p**4 - 21 with respect to p.\nAnswer: 1048*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 374050 and 37405.\nAnswer: 374050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137, -150, -183, -236, -309?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8063, 32917, 74565, 133007, 208243, 300273, 409097?\n\"Answer: 8397*b**2 - 337*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 39 + 10*l)*(5 + 19 + 19 - 12).\nAnswer: 310*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 737175?\nAnswer: 3, 5, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 + 15)\/(5 + -14 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36448 + -16347. Round f to the nearest 100.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 18*u + 66. Let w be i(-3). Solve 7 - w = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4*g - 236 = 0, 3*d + 79 - 262 = 5*g. Let z be (-1634)\/d + 3\/(-12). Let w = 30 + z. What is the third biggest value in 1\/4, w, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 minus 151354?\nAnswer: -151428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76.14754*-0.3.\nAnswer: 22.844262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 110*u - 57*u - 84*u. Solve u = 4*b - 5*x - 26, 5*b = 4*x + 89 - 61 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*2\/6)\/(200\/300)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -139 - -144.9. Let b = 0.9 - i. Let n = -5.4 - b. What is the second biggest value in 3, -6, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -847, -1690, -2533, -3376, -4219?\n\"Answer: -843*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/6 - 2063*k**2. Let h(y) = -18*y**2 - 9*y + 9. Calculate -h(l) + 9*z(l).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 7:42 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eennnrnhn. Give prob of picking 1 h and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -6. Suppose 2*y + 11 - 1 = -4*q, -4*y - w*q - 10 = 0. Let l(t) = 1. Let s(m) = 2*m. Determine y*s(n) - 2*l(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1505 + -2542410?\nAnswer: -2540501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 4*w + 3*p = -14, -5*w + 3*p = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 279*g**3 + g**2 - 2*g + 4. Let y(m) = -839*m**3 - 3*m**2 + 7*m - 13. Determine -10*a(u) - 3*y(u).\nAnswer: -273*u**3 - u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -127, -325, -653, -1105, -1675, -2357, -3145, -4033?\n\"Answer: v**3 - 71*v**2 + 8*v - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = -2*c + 153. Calculate the remainder when 1316 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201307225 divided by 40261445.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i**3 + 5*i**2 - 2*i. Let h(b) = -b**3 + b**2. Calculate -5*h(g) + z(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46*v**3\/9 - 6364*v**2\/9 + 1390*v\/3.\nAnswer: -2*v*(v + 139)*(23*v - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -120 - -448. Let z = u + -325. Solve -1 = -z*k - 3*j + 14, -4*k + 3*j + 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -5*o + 65, 5*o = -80*w + 79*w + 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -3. Is 8 a factor of 12 + 2 - (r - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*o = -196, -6*o = 5*z - 3*o - 486. Is z - 1 - (5 - 6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -34617, -50169, -65721, -81273, -96825?\n\"Answer: -15552*f - 19065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 168 and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 9. Let h = -2088\/5 + 46011\/110. Let f = -2\/11 + h. What is the nearest to 0.2 in 1, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 + -5.4. What is the fourth biggest value in -1\/3, h, 1\/13, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.86 - 9. Let l = -0.04 - z. Let j = 0.4 - l. What is j rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -851541, -851556, -851587, -851640, -851721, -851836?\nAnswer: -851991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(17)*2*-5 - sqrt(17)) + 3.\nAnswer: -11*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l - 1. Let i(y) = y**3 - 5*y**2 - 9*y - 4. Determine i(q) - 5*s(q).\nAnswer: q**3 - 5*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 11:16 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 43*a**3\/3 + 478. Let h(i) = -16*i**2. Calculate h(p(t)).\nAnswer: -29584*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + -2.7. Let v = 2.500017 + n. What is v rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*y + 5 - 3 - 3)*(389*y + 68883 - 68883) in the form g*y + m + z*y**2 and give z.\nAnswer: -2334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 11959990 to the nearest 10000.\nAnswer: 11960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 282510 and 29930?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (5 - 143) + 3 + 238 + -227 - 0?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from feffefexef. Give prob of sequence exe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 72, -2, -1, 1, -7 in descending order.\nAnswer: 72, 3, 1, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of -q**4\/24 + q**2\/4 - 8*q + 2. Let g(c) be the first derivative of s(c). Find t, given that g(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((396\/55)\/3)\/((8\/28)\/(425\/119)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 624 + 6057 + 5000 = 1940*u - 1899 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-4))\/((-110)\/(-22))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -739\/4 - -185. Which is the nearest to 0?  (a) j  (b) 4\/5  (c) -0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 + 25.06. Let j = 24.7 - g. What is the nearest to -1 in j, -0.2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 1 - 1\/2*u**2 + u - 1\/6*u**3. Let j(n) be the first derivative of f(n). Let r(m) = m + 1. Give 4*j(i) + 5*r(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2721178 - -2.\nAnswer: -2721176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*((1 - 0)*-1)\/1. Let l(g) = -1 + 29*g + t - 32*g. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2410, 2543, 2746, 3019, 3362, 3775, 4258?\n\"Answer: 35*j**2 + 28*j + 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 57584 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*f + 2*f - 1 + 8*f - 75*f**2 in the form u*f + j*f**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -7616000 to the nearest 100000.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 584, -1, -2\/11?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 74*n**2 - 209*n - 166. Calculate the remainder when f(71) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-2*sqrt(704) - sqrt(55)\/(sqrt(20)\/sqrt(4))) + 3).\nAnswer: -51*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -324 (base 8) to base 13.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -164 + 14?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**5 + 2229*y**4 + 4437*y**3 - 6681*y**2 - 8880*y + 8892 = 0 for y.\nAnswer: -741, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -5 + 0 + -24 + 14 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7624, -7874, -8576, -9958, -12248, -15674?\nAnswer: -20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, x: 3}. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*4\/12*7\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a - 21. Let h be d(-10). Sort h, -54, 0.4 in decreasing order.\nAnswer: 0.4, h, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - 4*b**2 + 4*b**2 + (0*b + 2*b - 4*b)*(0 - b + 0))*(b**2 + 2*b**2 - b**2).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 22815 - 2861 = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000000181 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -869*s. Let t(m) = -m. What is i(t(p))?\nAnswer: 869*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.6  (b) 0.042  (c) 2\/9  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216369671 is divided by 6234.\nAnswer: 6233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4400 = 3*w + 274*p - 278*p, -2*p = -3*w + 4390. Calculate the least common multiple of 45 and w.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*g + 2579, -3*v + 16 = 1. Let q be (0 + -1)\/(6\/g). Round q to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.13 - 5.37. Let g = -5 - k. Put 2, g, 3 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112 minutes after 12:15 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2149.\nAnswer: 1\/2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-54))\/((-6)\/(-5)*(-1947)\/(-35046))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -33*j**4 - 4*j**3 - 33 - 57*j**3 + 15*j**4 + 16*j**4 wrt j.\nAnswer: -8*j**3 - 183*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, -0.1, -0.3, -0.09, 1472 in descending order.\nAnswer: 1472, 0.6, -0.09, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34419 and 11489688?\nAnswer: 126386568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34788 and 12300.\nAnswer: 35657700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 5. Let f be x(0). Let t be (-3)\/6 + f\/(-2). Put -2, -1, t in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -649 - 911 + 1557 + 144*p. Let m(r) = -2*r. Give m(x(d)).\nAnswer: -288*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*j - 11*j + 5*j + 16)*(-130 + 15*j + 130).\nAnswer: 15*j**2 + 240*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 13 = -r, r - 5*r = -d - 3. Let k = -4 + r. Let j be k\/7 + 22\/(-70). What is the second smallest value in -5, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -11.1. Let z = 0.1 - b. Let f = z - -2. Which is bigger: f or 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cxob when four letters picked without replacement from brcxyyyyoyocycb?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 606*h*z**2 - 195*z**2 wrt h?\nAnswer: 606*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, r: 2, e: 7}. What is prob of picking 1 e and 1 r?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*-2*3)\/sqrt(6) - (1 + sqrt(50) + -3).\nAnswer: -11*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 6*u**2 + 17*u - 85. Suppose 0 = 4*g + 5*p - 48, -3*g + p + 8 + 9 = 0. Let z be j(g). Let w(a) = a**3 + 15*a**2 - a - 10. What is w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 110\/(0 + 5))\/(166\/332)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -223 and -0.047436860782.\nAnswer: -223.047436860782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1092  (b) -459  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b + 278. Is 9 a factor of x(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -329*c + c**2 - 3*c**2 + 327*c. Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/52  (b) 5  (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1350.96, 23, 0.5 in descending order.\nAnswer: 23, 1, 0.5, -1350.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-2))\/((-52)\/(-156))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35671.6077 + -35670. Round k to two decimal places.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*b**3 + 13*b**3 - 21*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 + 27 = -10*a. Suppose 3*w - 4*w - 2 = 5*y, -a*w - 8 = 3*y. Is 8 a factor of 67\/1 - (3 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from qgyha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7625193 is divided by 3812584.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -25*m + 13. Let s(k) = -12*k + 6. Let a(n) = -9*s(n) + 4*x(n). Does 18 divide a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (685\/2 - (-32)\/(-8))*-2. Let q = g - -970. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63564 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f**(-34))*f**(-5)*f)\/(f**15)**7 assuming f is positive.\nAnswer: f**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3*i + 120, i - 5*i + 8 = 0. Let k = -53 + 62. Calculate the greatest common factor of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 1:19 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 2*a**2 + 2*a**2)*(2*a**2 + 3*a**2 - 2*a**2).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-18)\/117*(-3)\/(-2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -305, 563, 1853, 3565, 5699?\nAnswer: 8255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4334625 is divided by 2167298?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d = 40 - 14 + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 14 = 14363*g - 14368*g + 12, -2*b = -0*b + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 5*v + 25, 336*r = 5*v + 332*r + 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85337 is divided by 11903?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 625 or 634?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -370 or 0.034?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 134*x**2 - 2181*x + 498. Give s(-115).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19.3 + -16.8. Let b = -6.55 + r. Round b to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22425885?\nAnswer: 3, 5, 37, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22068 and 32?\nAnswer: 176544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((1 - -1)\/12)\/(-1). Let q(c) = c**3 - 17*c**2 + 6*c - 6. Let x be q(17). Let k = x - 381\/4. What is the smallest value in k, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and (-3 - -9)*(-1 - -3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9206*b*u**2 - 2*b*u - b - 491*u**2 - 19*u - 808 wrt u.\nAnswer: -18412*b - 982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 152 + 986 + 0*t**2 - 3*t**2 - 201 + 425. Let c(w) = w. Determine c(d(v)).\nAnswer: -3*v**2 + 1362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/6 + 52*t + 4056.\nAnswer: (t + 156)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13742 - -13790. What is the highest common divisor of 326 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - (3 + -6))\/1. Suppose 2*c - j*r = -10, -c + 2 = -3*c + r. Suppose -4*a - 4 - 12 = c. Let t(l) = l + 5. Give t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-2))\/(1\/(-8)). Which is smaller: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 3. Let l = 56.7 + -56.319. Let h = l + -0.181. Which is the closest to d?  (a) 5  (b) h  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-5)*1*(-60)\/72)\/((-19)\/19).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4107 divided by -5.\nAnswer: -4107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31 - -55. Let m = -21 + w. Let q = -7.3 - -7. Which is the closest to -2\/5?  (a) m  (b) -3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 != 38526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2057571 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14254 (base 9) in base 16?\nAnswer: -25d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-2)\/4 + 13. Let c(y) = -15*y + 96. Let w be c(6). Suppose 3*j - 9 = w. Solve -3*s - 2*s = -d + 11, 0 = j*s - 4*d + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27902 at least as big as 27893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from iulmiiuhihuihli.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -4*g + 16343, 5*r - 16367 = 41*g - 37*g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 975*z + 1898. What is h(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6189514*p + 3294774 wrt p.\nAnswer: -6189514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1672, -1621, -1558, -1483?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*c + 350 = 64 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 14*j**2 + 4*j + 4. Let m be (21\/(-3))\/(-1) - (0 - -4). Is i(m) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**1)**(-18)\/(((((v*v**0)\/v*v)\/v)\/v)\/v)**(-10\/19)*(v*v\/v**2)**(8\/11)\/(v\/v**(-2))**28 assuming v is positive.\nAnswer: v**(-1616\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 8 - 22. Let y = p - 8. Solve c + 3*f = 2*c - 11, -5*f - 22 = y*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + m = 20. Suppose p - m - 3 = 0. Calculate the lowest common multiple of 2\/3*105\/14 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 16. Let r be f(-6). Which is the smallest value?  (a) r  (b) 0.5  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 23b - -b?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 110 + -62. Let p be (n\/(-28))\/(2\/(-7)). Suppose -r = -0 - p. Solve 0 = 3*w + r - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -5*x**3\/6 - 6*x**2 + 7*x - 86. Let z(q) = -14*q - 37. Calculate 17*b(u) - 6*z(u).\nAnswer: -u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2\/15 - 7\/15. Which is the third smallest value?  (a) -0.5  (b) 2  (c) 0.3  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 11*d + 26. What is v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3 + sqrt(252) + -4*sqrt(28))**2 + (2*sqrt(21)*-1)\/((sqrt(48)\/sqrt(2))\/sqrt(8))*-1.\nAnswer: -185 - 58*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 - 4*f - 3. Let l = 6 + -3. Let y(x) = -x - 4*x + l*x - 2. Let o(k) = 2*a(k) - 5*y(k). Factor o(p).\nAnswer: -2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 237 = -3*d, 0 = s - 0*d - 3*d - 111. Suppose 0 = 123*y - s*y. Sort y, -1\/5, -0.4, 8 in ascending order.\nAnswer: -0.4, -1\/5, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5424 and 10?\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5181017 and 2.\nAnswer: 10362034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*l, -3 = -3*m + 2*m + 5*l. Suppose 2*h + 1068 = -4*v, -1076 = 2*h - 14*v + 16*v. Let s = 557 + h. Is m at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4257 and -4358.\nAnswer: -18552006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 71, 15, -79, -211?\n\"Answer: -19*m**2 + m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.444821 hours in seconds?\nAnswer: 1601.3556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 548437904 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -262*l - 6779. What is k(-26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161 divided by 3259.\nAnswer: 161\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3202, 3, -793 in decreasing order.\nAnswer: 3202, 3, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 347455 is divided by 2411.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.3815414 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16975 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25915924, -25915925, -25915926, -25915927?\n\"Answer: -g - 25915923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5644 divided by 23604?\nAnswer: 1411\/5901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g - 5. Let j = 13 - -3. Let d = j + -22. Let c(x) = 7*x - 6. Suppose -3*u + u + 10 = 0. What is d*v(r) + u*c(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -10930.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4103 + -4108. Sort 17.92, -2, -1, y in decreasing order.\nAnswer: 17.92, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3640543 to the power of 1\/2, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of d**5\/60 + 7*d**4\/12 + 7*d**3\/3 + 2*d**2. Let s be z(-13). List the prime factors of (-1 - -2) + s + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*g = 24*g + 14. Let r be 3 + g - (-34 - 2). Calculate the highest common divisor of 112 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 1 - 1. Let v be q + (0 + -2 - -4). Suppose v = 3*x + 2*x - 80. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 2. What is the second smallest value in 5, t, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 633539 = -279*k + 296*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12736718 = 116*z - 22*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 2*h - 5*d, 2*h - 2 + 3 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of -u**6\/60 + u**4\/24 + 19*u**2. Suppose -h - 1 = 5*j + 2, 5*j + 7 = h. Calculate z(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 0  (c) 1\/10  (d) 2\/15  (e) 0.7635  (f) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 3*m - 4*k, 6*m - m + k - 120 = 0. Calculate the highest common factor of 264 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 15, 54, 125, 234, 387?\n\"Answer: u**3 + 10*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*g = -0*n + 47, 2*g = -4*n - 164. Let a = n - -56. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 0 + 5 + 4 + -1*sqrt(76) + 6*(1 + sqrt(76)))*3)**2.\nAnswer: 2340*sqrt(19) + 18621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -c**3\/3 - 3*c**2 + 25*c - 34. Let q be m(-9). Let t(o) = -2*o**2 - o**2 + o**2 + 3 - 2*o**3 + 3*o. Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -0.48, -1\/22, -0.2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h + 2 + 0 + 2*h. Let q(u) = 23*u - 2091. Let i be q(91). Is v(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 83*((-4)\/(-9) - (-41)\/9). Solve 83*l + 0*l = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4747674 divided by 5?\nAnswer: -4747674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 17899?\nAnswer: 17899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -21, -238, 1, 5.\nAnswer: -238, -21, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*c + 5*z = 205*c - 23, 22 = c - 4*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 b when four letters picked without replacement from bbbnbbbbnbbb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00018234929 rounded to 6 dps?\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h - 3*h**3 + h**3 - 3*h**4 + 2*h**4 as r*h + c*h**4 + y*h**3 + g*h**2 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -1229*t. Let q(m) = 2042*m**2 + 18. Calculate q(u(n)).\nAnswer: 3084320522*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -502.016 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1*a)**31\/(a\/(a**(2\/9)*a))**16 assuming a is positive.\nAnswer: a**(590\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 43*n + 130. Let a be s(-25). What is a rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**3 - 12*z**2 - 13*z + 132. Let r(n) = 4*n**3 + 14*n**2 + 15*n - 135. Determine -7*i(l) - 6*r(l).\nAnswer: -3*l**3 + l - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44269823 and 34053710.\nAnswer: 442698230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 634.541nm in meters?\nAnswer: 0.000000634541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.99 + -0.01. Let q = -2 - y. Let w = 72\/23 + -1414\/437. Which is the nearest to -0.1?  (a) w  (b) q  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35\/28 + 897399\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -23*k**7\/42 - 21*k**3\/2 + 3*k**2\/2 + 237*k. Find the second derivative of g(i) wrt i.\nAnswer: -460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwdxvodwvwwdp. What is prob of sequence vpwo?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b. Let k(s) = -5*s + 16*s - 4*s - 5*s. Let g be (-6)\/((-5 + 9)*1\/4). Determine g*r(z) + 4*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 8*m**2 - 41*m + 10. Determine v(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 1)*(-2*x - 12*x + 3*x).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(2\/(-98)*1). Let p be (-2)\/7 - 427\/b. Let u = -13 - p. Put 1, u, -5 in increasing order.\nAnswer: -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40 by -1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -186996, -186990, -186980, -186966?\nAnswer: -186948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 15\/18*45\/(-30)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 11, k: 9}. Give prob of picking 1 k and 2 j.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.1 and -8.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 167478 and 88888.\nAnswer: 27466392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 92d (base 14) in base 13?\nAnswer: a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6527275 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 49551 and 1?\nAnswer: 49551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 6*h. Let l be b(6). Solve 56*r - 67*r - 11 = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 53724 and 15730968?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**3 - 188*a**2*v + a - 3*v - 14 wrt a?\nAnswer: -6*a - 376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -0.0478?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1889255, -1889252, -1889247, -1889240, -1889231, -1889220?\nAnswer: -1889207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 7*m - 7. Let t = 6 - 0. Let o be s(t). Suppose 0 = 4*q + q + o. Is -7 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -17*f. Let r(c) be the second derivative of c**4\/6 + 3*c. Calculate g(r(o)).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 0)*(-594)\/9801?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.39 - -9.3901161. What is o rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -335*o**4 - 108*o**4 + 1137*o**4 - 3*o**4 + 6*o**4 - 4*o**4 + (4 - 4 + 2*o)*(3*o**3 - o**3 - o**3).\nAnswer: 695*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 14*p - 7. Let s(g) = -g. Calculate 6*s(z) + w(z).\nAnswer: 8*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and 0.0157.\nAnswer: -0.1256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -6*((sqrt(11) - -2*sqrt(11)) + 1) + (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-2 - sqrt(1100))*6 - sqrt(1100)))**2.\nAnswer: -408*sqrt(11) + 114448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 303, 335, 367, 399?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1359 + -3.7343?\nAnswer: 1355.2657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 29. Let l be -5*(-2)\/g*9. Suppose 3*m - l*m + 54 = 0. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-8)\/24*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 46375671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 + 0.3. Let l = -0.4 - 0.1. Let i = 1.5 - 0.5. What is the smallest value in i, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/33 - (84\/(-22) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22001414*z + 22001415*z - 3783 + 3779.\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -105154 divided by -4.\nAnswer: 52577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r. Suppose 0 = 228*p - 238*p + 40. Let l(c) be the second derivative of 0*c**2 - 9*c + 1\/12*c**p + 0 + 0*c**3. Determine l(k(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 376702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 323 - 291. Let h(a) = -a + w*a**2 - 13*a**2 + 7*a - 17*a**2. Let q(z) = 2*z**2. Calculate q(h(l)).\nAnswer: 8*l**4 + 48*l**3 + 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*c - 6 + 6 + 7*c as q + z*c and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -11. Suppose g + 2 = -4*m. Does 10 divide ((-17)\/3 - m)*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9670 - 67691\/7. Which is the closest to 9?  (a) 3\/5  (b) s  (c) -6  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1115 and 45?\nAnswer: 10035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151557.\nAnswer: 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9  (b) 0  (c) -6603  (d) -3\/7  (e) -1\/6  (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-2)\/4)\/(255\/30))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -1234134?\nAnswer: -1234136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3169784766 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -108939, -435456, -979549, -1741218?\nAnswer: -2720463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40334*d**3 - 2*d + 5144 wrt d?\nAnswer: -242004*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15937426.\nAnswer: 2, 1283, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 + 3*b**2 - 6*b**2 + 31*b - 13*b**2 - 31*b + (b + 2 - 2)*(2*b - 5*b + b).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -17303.9.\nAnswer: 17303.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42265 divided by -5829.\nAnswer: -42265\/5829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 3*g**3 + 27315*g**2 - 27354*g - 327816 = 0.\nAnswer: -9106, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2 = 3*q, -2*k - 2*k - 2*q + 48 = 0. Suppose 11 + k = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.078985 rounded to 4 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 196 and 6.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, c: 11, u: 6}. What is prob of picking 3 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1646 - -3053. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*0.0323.\nAnswer: 0.01615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 385 and 280?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h - 36 = 0. Let n be -3*(-1 - 57\/h). Which is smaller: -15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 12031424?\nAnswer: 12031424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*x + 27. Which is bigger: 2\/9 or x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 2)*(n - n - 2*n)*((n - 4*n + 5*n)*(2 - 3 + 0) - 5*n + 3*n + n + 4*n - 3 + 3 + 8 - 8 + n + 2 + 0 + n + 4).\nAnswer: 30*n**2 + 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/6*(-8)\/6. Let t(z) = -z. Let k(v) = 10*v + 10*v - 19*v. Let w(r) = 2*r + 1. Let c(y) = -5*k(y) + w(y). Calculate u*t(o) - c(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*k**5 + 223*k**3 + 15*k - 223*k**3 wrt k?\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1570 + -1565. Let c(d) = 3*d**2 - 17*d + 1. Give c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -8*k**2 - 112\/3*k**3 - 221\/3*k**4 - 14*k - 1 - 169\/5*k**5. Let m(u) be the first derivative of l(u). Factor m(z).\nAnswer: -4*(z + 1)*(13*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-52908 - 175253*o**2 + 105750 - 52842)*(-4*o + 0*o + 6*o) to the form m*o + t*o**2 + u*o**3 + v and give u.\nAnswer: -350506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(3\/5))\/(f*f**(-1\/6)) assuming f is positive.\nAnswer: f**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30630 + 37383 = 1291*o - 1243 - 134014 for o.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**2\/5 + 104981*z\/5 - 3360416\/5 = 0 for z.\nAnswer: -105013, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 - -30.4. Let y = -2 + j. Which is the third biggest value?  (a) 2  (b) y  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 181*w**2 + 367*w - 2. Let f be p(-2). Suppose -z + 2*z + 9 = -4*v, 2*z + 3 = -3*v. Put -19, 4, v, f in decreasing order.\nAnswer: 4, v, f, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rzuu. What is prob of picking 1 r and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z - 13. Let n be p(-5). Let l(o) = -5*o + 5*o + n*o - 3*o. Let k(u) = -8*u. What is k(l(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1188 and 34848?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**2 - 1 + 1 + b**2 - 51 + 51 + (0 + 5 - 3)*(-5*b - 2*b**2 + 5*b) as o + i*b**2 + v*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - 3 + 0*o**2 - 1 - 1. What are the prime factors of w(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, n: 2, g: 13, o: 2}. Give prob of picking 1 o, 2 n, and 1 x.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 2*d**2 - 3*d + 7. Let w be n(2). Let u be (w + 9\/(-15))*(-3 + 4). Which is the smallest value?  (a) -1\/3  (b) u  (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22903220 + -1?\nAnswer: -22903221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 - 275448665*c - 826345950.\nAnswer: -5*(c + 3)*(c + 55089730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 4 = 4, 0 = -4*f + q + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l - 4 = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**8\/11760 + k**7\/1960 + k**6\/840 + k**5\/840 + k**3\/3 - 1. Let z(b) be the third derivative of o(b). Factor z(q).\nAnswer: q*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of z**2\/2 + 180. Let v(s) = -4*s**2 - 2*s. Let h(f) = -25*f**2 - 13*f. Let j(q) = -6*h(q) + 39*v(q). Calculate i(j(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q - 38. Let r be a(-13). Solve -4*f = -4*d + 7 - 3, f + r = 2*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m. Let b(h) = 35122*h**2 - 13. Determine u(b(a)).\nAnswer: -70244*a**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 1151*s**2 - 82*s + 228. Let z be t(3). Calculate the greatest common factor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 - 29. Let d = b - 2. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 5832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-22)\/(-6) + (-4)\/(-12). Suppose -1 = q - 6. Suppose -q*c + l*p = -282, 4*p = 5*p - 2. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8\/5)\/((-6)\/15). Suppose l + 1 = -3*l + z, 5*l - 4 = -4*z. Is l + 154\/(s\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41242.5905 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393536.\nAnswer: 2, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.14 + -5.14. Let g = -2 - j. Which is the nearest to -2\/3?  (a) -1\/4  (b) g  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -4. Suppose -5*l + 23 = 83. Let d = 24 + l. Calculate the least common multiple of d and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 89254 and 40570.\nAnswer: 446270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -89*c**3*o - 1605*c**3 + 18*c**2*o + 96*c**2 - 118*c*o wrt c.\nAnswer: -534*o - 9630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -10*n**2 - 2*n - 6. Calculate p(-4).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((3*(sqrt(448) - (sqrt(448) - 1*sqrt(448))))**2 - (sqrt(448) - (sqrt(448) + 0 + -2)**2 - sqrt(448)))*1 + -5).\nAnswer: -22395 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of 2*i**3\/3 - 3*i**2\/2 - 3*i - 1. Suppose -136 = 137*m - 103*m. What is the tens digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(315) - sqrt(315)*-1))\/((sqrt(20) + sqrt(5))*-6 - sqrt(5)))\/(sqrt(441)*-3 - -2*(sqrt(9) + sqrt(9) + (sqrt(9) - (3*sqrt(9) + sqrt(9))))).\nAnswer: 4*sqrt(7)\/437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/6*3*9. Let u be -2 + z + (-3 - -1). Suppose 9*p - 4*p = -u*h + 30, -p - 42 = -5*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-28) - 37\/(-7). Suppose q*m - 239985 = t, 1372389 = -5*t - 2*m + 172383. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -26. Let o = g - -16.9. Which is bigger: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of 3*f**5\/10 - f**4\/12 - f**3\/6 + f**2\/2 + 2*f. Let b be k(1). Suppose 0 = -10*p + b*p + 10. Solve v = 4 - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 51, 69, 67, 39, -21, -119?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2 = -1. Let q be ((-3 - 2) + 0)*1. Let p = q + 0. Sort p, s, -4 in decreasing order.\nAnswer: s, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30*(533\/(-39) - -14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -6. Let a = g - -5.00000111. Round a to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 91*p**2\/10 + 93*p\/10 + 1\/5 = 0.\nAnswer: -1, -2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -162, 10 in decreasing order.\nAnswer: 10, -16, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.276 + -0.724. Which is the nearest to 0.51?  (a) -4  (b) 3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5574\/135241 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 3. Let n = -42061 + 126184\/3. Let k + 2\/3*k**2 + w - n*k**3 = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1025 times 0.32\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-10)\/u)\/u**(3\/5))\/(u**(-1\/5)*u**(-2\/9)))**(3\/35) assuming u is positive.\nAnswer: u**(-503\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 42080*n**3*o + 3037*n**3 - 12*n**2 - 2 wrt o?\nAnswer: 42080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u + 9. Let l be d(-2). Suppose -2*n + i - l + 26 = 0, 0 = -n - i. What is the closest to 2 in n, 0.06, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23419708?\nAnswer: 2, 13, 79, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-7)\/(-3))\/(5\/(-1485)*-9). Suppose 0 = 3*b - 68 + s. Sort -74, b, -1 in decreasing order.\nAnswer: -1, b, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -248 by -62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 17*z**2 - 21*z - 68. Determine a(-3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -6*1*sqrt(720)*-3)**2.\nAnswer: -2160*sqrt(5) + 233305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*h + 0)*(4 + 0 - 6) + (-53*h + 16*h + 15*h)*(226 + 1971 + 1771 - 336) in the form j*h + i and give j.\nAnswer: -79908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 1:39 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 499887082 and -5.\nAnswer: 499887077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1360164*b + 680409*b + 679752*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 3) + (9 - 65\/10). What is the closest to 0.1 in -1\/2, 5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((32\/(-36))\/4)\/(34\/(-119)*14).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2 = -0. Let -a**4 - v*a**4 - 2*a**3 - a**3 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s**2 + 10*s + 1. Let k be j(5). Suppose -5*x + 11*x = k. Solve x*v = 26*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53989 and 9.5.\nAnswer: 512895.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 + (-1680)\/(-119) + (-41204)\/(-34) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -36. Suppose 0 = -16*k + a*k + 17360. Suppose -b + k = 4*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {s: 2, g: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(15\/7)*i*i)*i**(-2\/37))**6)**(-38) assuming i is positive.\nAnswer: i**(188784\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 7*i - 3. Let j be v(8). Let t(g) = g**3 + g - 6 - 5*g**2 + 1 + g. List the prime factors of t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*h = -654 + 1669. Suppose -13 = 12*i + h. Let m = 6 + -6.06. Which is the nearest to 0.1?  (a) 2\/9  (b) m  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of m**6\/120 - 2*m**5\/15 - 3*m**4\/8 + 2*m**3\/3 - m**2. Let f be y(9). Solve 4*n - 6*n + g + 5 = 0, 3*n = -f*g + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*n**4*x - 7*n**2*x**3 + 220*n*x**3 + 7*n*x**2 - 9*n wrt n.\nAnswer: 108*n**2*x - 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/((-16)\/12))\/4. Let z be ((-71)\/142)\/(0 - (0 - -2)). What is the closest to 3 in z, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1289.882481116 - 3\nAnswer: -1292.882481116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -871401, -871402, -871405, -871410, -871417, -871426, -871437?\n\"Answer: -u**2 + 2*u - 871402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 + 4*p + 16. Is z(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3802, -3797, -3788, -3775?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 182352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 70 = 5*o, -154*b + 152*b - 49 = 3*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 29 = -5*q, 4*v = -q - 1 + 12. Suppose 3*h - v*w - 26 = 0, 2*w + 0*w = -4*h - 2. What is the least common multiple of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i**2 - 2*i - 39. Let n be d(10). Suppose -3*j = -11 - 10. Suppose n = j*f + 21. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4863773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/4 - (203\/(-70) + 2). Let i(s) be the first derivative of -2\/15*s**3 - u*s**2 + 3 - 2\/5*s. Factor i(o).\nAnswer: -2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(4 + 104\/(-24)). Suppose -i*j + 2*b = 1790 - 6731, 4*b = -12. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 3 + 4\/((-12)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 540 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -63 + 65. Let j be 204\/15 - (-4)\/10. Suppose p = j - 9. Is v greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 131 + -122 + 48\/2. Suppose -2*b = -m - j, -3*m = 3*b - 6*m - 54. What is the highest common factor of 420 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-847)\/726)\/((-1)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 - 4)*(2*p - 4*p + 4*p)*(p - 2*p - p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 1263?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 3*w - 2. Let k be g(4). Suppose 13 = -5*m - k. What is the units digit of -3*4\/6 - m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177, 157, 135, 111, 85, 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -222*o**2 - 5*o. Let u(f) = -f + 64. Calculate u(t(n)).\nAnswer: 222*n**2 + 5*n + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (72\/48)\/(((-6)\/36)\/1). Is f bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - (-11 - 37) - (3 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 326 - 3*b - 326. Let w be (-13)\/(-11) + 4\/(-22). Calculate g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e8659bb - 4?\nAnswer: 1e8659b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 1 - 1)*(-2 - 1 + 2) + 2*m + m - 4*m - 172 + 172 - 21*m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*x - 9*x - 22*x - 128 = 0, 3*u - 6*x + 9*x - 81 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/30 - 20124\/(-63855)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 7:22 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 319952954\nAnswer: 2\/159976477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 986*r**2 - 506 - 65 + 9 - 498*r**2 - 473*r**2 to the form l*r**2 + f + u*r and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 4*y = -64, 0*y = -25*s + 26*s + 7*y + 102 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -1884699 and -0.1.\nAnswer: -1884699.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1.61578 days?\nAnswer: 139603392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31453, -29005, -24925, -19213, -11869, -2893?\nAnswer: 7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*h**3 + 6*h**2 + 0*h**2 + 26*h**4 - 27*h**3 - 18*h**4 to the form b + m*h**2 + s*h**4 + k*h**3 + j*h and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55\/22*(-130)\/(-25) + (7 - 15) - 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -254 + -42b?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 40\/25)\/(7436\/5460 + 8\/(-6)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*h*l + h*w - 45022*h - 72*l*w + 2104*l + 105*w - 2 wrt l?\nAnswer: -2*h - 72*w + 2104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -11. Let g be 8 + -3 + 3\/j. Let d(l) = 2 + g + 2*l**3 + 8*l**2 + 5*l - l**3 + 2*l. Give d(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*p + d + 4, -2*d - 4 = 5*p. Suppose -s - 3 = -p*s. Let k be (s\/2)\/(4\/(-8)). Solve 5*u - 7*n = -k*n + 6, -5*n - 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 1257773\nAnswer: 5031092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 0*w**3 - 61*w**2 - 6 - 2*w**3 + 65*w**2. Let n(d) = d**3 - 3*d**2 + 5. Calculate -3*i(h) - 4*n(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**17)\/u)\/u**(-1\/22)*u**18*u**(6\/11))**(-34) assuming u is positive.\nAnswer: u**(-595\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (4 - (-9 + 9 - 3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -30*q - 9. Is 37 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 277642 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3423 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 57\/4 or 13?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -3\/10, -1\/10, 47 in ascending order.\nAnswer: -3\/10, -1\/10, 0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1304 and -5489.\nAnswer: 7157656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 7*s**2 + 248*s - 2839. What is h(9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 1338216 = 22*s. Suppose -29*z + s = -17*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -403300104344?\nAnswer: 403300104344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*q - 32412 = -0*n, -3*n + 4*q = -32416. Suppose 0 = -4*k + 7*k - n. Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 8*j + 4. What is the tens digit of l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bkh when three letters picked without replacement from {k: 1, h: 6, c: 1, x: 7, b: 1, p: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -8 + 3 - 6*m - 15*m**2 + 20*m**2. Let z(f) = 14*f**2 - 19*f - 15. Let p(d) = -11*i(d) + 4*z(d). What is p(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 545535 divided by -4041?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -102 * 14.\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*d = 12*d - 482 - 772 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -76\/9 or -9?\nAnswer: -76\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1161)\/(-48) + (8 - 19 - 13)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - (-6 - (-4)\/2). Let n be h\/9 + (-20)\/(-6). Suppose -n*p + 6 = -2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -33 and -553756.\nAnswer: 18273948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1505139370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 225*p - 223*p + 0*p**2 - 3*p**2. Let g(l) = l**2 - 24*l + 106. Let h be g(18). Give c(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23.9 - 24.5. Let d = 2 - -2. Sort y, 2, d.\nAnswer: y, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l - 5*l - l + 7*l**2 + 3*l + 335*l**3 + 8. Let r be v(8). Suppose 25*n - r = 29*n. Round n to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -387\/10 - -75\/2. Suppose 2*i - 4 = -8. Is i not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from vvqvq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -270 - -272. Solve 5*h + 1 = 4*f - f, u*h + f = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 267 (base 13) to base 11.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4922 by -2.\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28580225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = g + 6390. Is g - ((-11)\/(-6) + 19\/114) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 at least 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2048*a**3 + 16128*a**2 + 42336*a + 37044 = 0. Calculate a.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300)*1*4 + -4*sqrt(1300)*-1)**2 - (0 + ((sqrt(65)*1 - sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))\/sqrt(5))**2*5.\nAnswer: 82615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 10*x - 4. Let p be c(-12). Let n be ((-6)\/12)\/(1\/p). What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 24 = -4*n, 4*n = -6*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/1)\/1 + 2. Suppose c = x + 5*o + 10, 2*o - 4 = 3*o. Solve 8*u - 3*u = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 68362.119 + -68328. Let b = p + -34. What is b rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 3*x**2 + x. Let j be g(2). Is (-2)\/(-6) + 556\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + v**2 - v. Let q(y) = -6*y + 168. Let a be q(33). Let c(d) = -35*d**3 - 30*d**2 + 30*d. What is a*x(t) - c(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -19*r**3 + 5*r**2 - 5*r. Let b(t) = -9*t**3 + 3*t**2 - 2*t. Let u(y) = -5*b(y) + 3*z(y). What is the second derivative of u(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of i**5\/20 + 7*i**4\/12 - 7*i**2\/2 + 9*i + 14. Let s be (2 - 10 - -1) + 2. What is the tens digit of h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/5, -31, 2\/9, -16\/23, 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.1323 rounded to 1 dp?\nAnswer: 51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1324 - 1264. Suppose -5*u + 523 = 103. What is the greatest common divisor of u and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132743293.\nAnswer: 17, 7808429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from sexxev?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/6117 and -68\/3?\nAnswer: 6117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(242) - (sqrt(242) + -1)) + -1)*-1)**2*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.31 + 0.33. Let z = w + -3.64. Put 3\/7, -2, z in decreasing order.\nAnswer: 3\/7, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -2c9ba?\nAnswer: -2c9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*d - 2. Find the third derivative of -5*u**4 - u**4 + 0*u**4 - 4*u**d + 4*u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31346 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -248739\/163 + 1526. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1212068379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2556883, -5113787, -7670691, -10227595, -12784499, -15341403?\n\"Answer: -2556904*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56)\/(sqrt(224)\/sqrt(7)))\/(-2*sqrt(400) + sqrt(400) + (sqrt(48)\/(2*sqrt(12)) - sqrt(4))).\nAnswer: -sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**3 - 3*z**2 + 2*z + 3. Let k(l) = -1 - l**3 - 2234*l**2 + 4466*l**2 - 2231*l**2. Suppose -n + 0*n = 3. Calculate n*k(x) - o(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 280a018 (base 11) to base 10.\nAnswer: 4844859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 232 and 4582.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 246693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 6, q: 2, k: 11}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 6:15 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00035249602 rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/17 - 4900\/(-2380). Suppose -2*s + 4*s + 2*c = -20, 8 = 4*c. Put 1, 5, j, s in decreasing order.\nAnswer: 5, j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2109392 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29480*a**3 + 4243*a**3 + 0*a - 3*a - 7044*a**3.\nAnswer: 26679*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -t**6\/180 - 43*t**3\/2 - 12*t**2 - 3*t. Let j(r) be the first derivative of y(r). Let q(a) = 90*a**2. Calculate q(j(o)).\nAnswer: 360*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(-6*l + 5*l + 2*l)*(-2 + 3 - 2).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 312839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -24403\/6140 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 - 11. Which is smaller: j or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 4.9. Which is the nearest to 0.1?  (a) h  (b) 4  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - d + 3. Let y be t(3). What is the least common multiple of (-12)\/8*66\/y and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 31600008 = -4*s, -3*s + 2*t - 7900004 = -4*s. What is s rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29493185 + 117*a**2 + 6851*a - 29493186 - 673*a**2 + 4097*a**2 wrt a.\nAnswer: 7082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (17 + -2 + -50 + 48)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fffa when four letters picked without replacement from aaffffffffff?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + (sqrt(125) - ((sqrt(125) + -1 + sqrt(125) - sqrt(125)) + -5)**2) - ((sqrt(45)*2 + (sqrt(35)*3 + sqrt(35))\/sqrt(7))*-1)**2.\nAnswer: -665 + 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -5. Let y = q + -2.995. Let o = 0.07 + y. What is o rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**4\/2 + 69*u**3 + 1845*u**2\/2 - 250*u - 30750 = 0?\nAnswer: -123, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -715.5 and -0.3?\nAnswer: 214.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(702\/24))\/(((-650)\/(-15))\/5)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.1 + 3. Let s = -67 - -37. Let k = s - -30. Is k < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s**2 + 33455*s - 167150 = 0. What is s?\nAnswer: 5, 6686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4239*k**2 + 350*k**3 + 360*k**3 + 355*k**3 + 351*k**3 - 1418*k**3 to the form w*k**3 + q*k + m + f*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 131013733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = -17*c + 19*c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2 - 2*v + 3.\nAnswer: -(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-12)\/468)\/((-7)\/(-126)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -3. Suppose 0 = z - 2, -5*r + a*r + 3*z + 24 = 0. Let x(g) = -g - g + 2 + r*g - 3*g. Calculate x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*o**3*z**2 + 14*o**3*z + 15*o**3 + 11223*o**2*z**2 - 2*o**2*z wrt o.\nAnswer: 102*z**2 + 84*z + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 10*p**2 + 11927*p + 1. Let y(f) = -2*f. What is n(y(b))?\nAnswer: 40*b**2 - 23854*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6410 - 6402. Solve -4*v = a, 0*x + 2*x = 5*v + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**3 - 6*s**2 + 2*s. Suppose -3*y + 78 - 75 = 0. Let v(k) = -k**3 - k**2. Determine y*h(c) - 6*v(c).\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*c - 3*r, 0 = -2*c - 3*r + 9. Suppose -s = 5*j, 2*s - j - 16 + 5 = 0. Let v(m) = s*m - 1 + c*m - 5*m. Determine v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*j + 25 - 26 = 0, -5 = o - 2*j. Suppose 4*l = -5*p - 0 + 3, 15 = -4*l + p. Is l bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1063 + -1058. What is the third biggest value in s, 0.76, 1, -0.4, -3?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i = 759 - 219. Solve -3*g + i = 51 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 2\/3*t**6 + 0*t**5 + 0*t**3 + 0*t**2 + 0*t - 16 - t**4. Factor q(f).\nAnswer: 4*f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 0*w = -3*h + 18, 22 = 4*h + 5*w. Solve i + h*i + 5*i**2 - 4*i = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4*i**2 - 526. Let o(m) = 9*m. Calculate o(q(c)).\nAnswer: 36*c**2 - 4734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -116725840 by -2695.\nAnswer: 43312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 264, 838, 2012, 4068, 7288, 11954?\n\"Answer: 47*k**3 + 18*k**2 + 191*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27*i**4 + i**2 + 0*i**2 - 5*i**2 - 29*i**4 - 12 wrt i.\nAnswer: -8*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -50. Let o = -5 + q. Calculate the smallest common multiple of 8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 0.3, 388, -7, 230\/9?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 252449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*k**3 - 461254 + 461254.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*o = 13, -4*p + o + 1 = -38. Suppose -10 = 5*x - p*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 9.8. Let d = -0.200352 + u. What is d rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g + 0*g + 3*g)*(2 + 1 - 5)*(g**3 + g - g) to the form q*g + n*g**2 + j*g**3 + v + m*g**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + p = 62. Let g = -62 + p. Let j = 45 + g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 89*d + 5110. Let w be b(-81). Suppose 0*m + m + 3*o + 294 = 0, 0 = 4*o + 12. Let t = m - w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10167589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2286, -4593, -6900, -9207, -11514, -13821?\n\"Answer: -2307*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -2768416.\nAnswer: 1384208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -299126391.044 + 0.1\nAnswer: -299126390.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2143417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.0689 or -3\/71?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 3486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 4 = -0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 44*l**3 + 2*l**2 - 1. Let r(j) be the first derivative of j**4\/4 + 3*j**3 + 4*j**2 + j + 8. Let n be r(-8). What is the units digit of b(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -5*k**3 - 17*k**2 - 16*k + 28. Let b(l) = -9*l**3 - 33*l**2 - 31*l + 56. Let o(d) = 3*b(d) - 5*y(d). What is the tens digit of o(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 5*l + 6 = 0. Let y(h) be the first derivative of -1\/4*h**4 + h**2 + 3*h - 2*h**3 + 8. Calculate y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 160, 173, 176, 163, 128?\n\"Answer: -x**3 + x**2 + 17*x + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -18460000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7074 and 130869.\nAnswer: 261738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of -i**5\/20 - 13*i**3\/2 + 40*i**2. Let f(g) be the first derivative of w(g). Let q(m) = 2*m - m - 2*m. What is f(q(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 22*h**2 - 57*h + 18. Let t be g(19). Let b be (-2 + 27\/t)\/((-2)\/(-4)). Which is bigger: 1\/28 or b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 + 33. Sort 1\/2, i, -2 in ascending order.\nAnswer: -2, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 818.7163 weeks in seconds?\nAnswer: 495159618.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000015578641 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**5 - 4*c**5 + 9*c**5 + 0*c**2 - 2*c**5 + 0*c**2 + (-c**3 - c**2 + c**2)*(6*c**2 - 2*c**2 - 2*c**2) - c**5 - c**3 + c**3 + 3*c**2 - 3*c**2 - 2*c**5.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2164383757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -20*k**2. Let x(n) = 36*n. Give a(x(b)).\nAnswer: -25920*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.011 - -0.011. Which is the biggest value?  (a) -3  (b) -1\/7  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1 + 1522\/120 + 393\/(-655) and 93\/34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -24*y**2 + 52*y - 11. Let n(c) = 13*c**2 - 25*c + 6. Determine 6*g(d) + 11*n(d).\nAnswer: -d**2 + 37*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**3 + 41*h**2 - 44*h + 71. Let w(s) = s**3 + 14*s**2 - 16*s + 25. Let d(a) = 4*t(a) - 11*w(a). Determine d(-8).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6388819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 46 + 26 + 26 = 0. Put h, -2, 0, -5 in decreasing order.\nAnswer: h, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/1*(-10 + (6 - 4)). Suppose 2*u - 14*u = -g. Suppose -4*d = u, 4*a + 3*d - d = 488. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 4*i + 15. Let m be 1 + -1 + 2\/(-11). Let j = -5\/33 + m. Which is the biggest value?  (a) -4\/5  (b) j  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 510 + -508. Solve 0 = p*x + 33 - 31 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -23149b1?\nAnswer: 23149a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*z - 4*o + 30 + 18 = -40 - 88, -2*z - o + 14 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*k**2 - 93*k**2 + 2293253 - 2293253.\nAnswer: -115*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5 = -2*y, 0*y - 2*q - 5 = -3*y. Suppose 17 = -y*f - 8. Let g = -910 - -899. Put 2, f, g in descending order.\nAnswer: 2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l**(-2\/13)\/l)*l\/(l*l\/(l\/l**8)*l))**(-27)\/(l**0\/l*l*l*l**(-3\/5)*(l**(2\/3))**(1\/35)) assuming l is positive.\nAnswer: l**(214888\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2547 is divided by 415?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 15*a**2 - 14*a - 4. What is w(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 13*b - 7. Let f(t) = 2*t**2 + 27*t + 14. Let d(j) = 4*f(j) + 9*i(j). Let o(l) = -2*l - 46. Let s be o(15). Let q = 68 + s. Determine d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -3*h**4\/16 + 37*h**3\/4 - 213*h**2\/8 + 105*h\/4 + 22. Suppose m(f) = 0. What is f?\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0*y + 940. Does 57 divide y*(9\/2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/23 and -28\/9508791.\nAnswer: 218702193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -338*h**2 - 2*h + 6 wrt h?\nAnswer: -676*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 36*x**2 - 33*x + 33. Let w(k) be the first derivative of -53 + 1\/3*k**3 - 1\/2*k**2 + k. Give -2*s(d) + 66*w(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 3 - (-4 + 4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48296 in -5, -3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/42)\/(-6 - 135\/(-20))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35\/27, 52323, 0.2 in decreasing order.\nAnswer: 52323, 35\/27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 420111452 to the nearest integer?\nAnswer: 20497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 165 + -17. Let h = 151 - z. Solve h*x = 5*m + 34, 0 = 3*x - 4*m + 9 - 38 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 5, 1, -23\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 < -2053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(112\/20)*-13*76\/494.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 26 and 33594223.\nAnswer: 33594249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 9, c: 11}. 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: Let f(s) = -13*s - 15. Suppose 2*v - 11 = -3*q - 34, -4*v = -4*q + 96. Is f(v) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 9*c + 9. Determine m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*r + 34 = 2*j + 120*r, 3*j + r = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -y, 0 = 3*n - 6*y + 2*y - 20. Suppose -2*k - 3*t - 903 = 0, 4*k - 375 + 2221 = 2*t. Let u be (-156)\/k + 4\/(-18). Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 5) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -591*w - 2450. Is r(-38) a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of 0 - 4*d + 1\/12*d**4 + 0*d**3 + 0*d**2. Let t(x) = -5*x. Calculate t(l(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*v + 6. Let g(f) = 91*f**2 + 9*f - 15. Let d be g(v). Suppose 4*w - 2107 = -d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**2. Let l(y) = 2*y - 3. Let o(f) = -f - 2. Let u(i) = 5*i - 20. Let g(t) = -3*o(t) + u(t). Let r(p) = 2*g(p) - 9*l(p). Determine r(q(w)).\nAnswer: -4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*g + 28600 = 37*g. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -391.55 + 352. Let d = 38 + r. What is d rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 - 8*r**3 - 46*r**3 + 7*r**3 + 41*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lccqlw. What is prob of picking 1 w and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -944618 - -944618.002023018. Let k = -7.202016918 + i. Let a = -7.2 - k. Round a to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from rrrrrrrrmrrrkr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -1\/6*r**3 + 0*r**2 - 1\/12*r**4 - 3*r + 0. Factor c(i).\nAnswer: -i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**3\/3 - 4*z**2 - 9*z - 1. Let j be o(-6). Suppose 0 = -j*d + 4*d - 8. Solve -4*b = -3*p - d, -3*b - 4 = b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -558 in 0, 1\/2, 12, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 152*d**3 + 7*d**2 - 1253*d + 3. Let o(g) = 87*g**3 + 4*g**2 - 627*g + 2. Give 7*o(p) - 4*r(p).\nAnswer: p**3 + 623*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*(207\/(-81))\/(-23).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 73329365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -9 + ((-21 - -13) + 3 + -7 - -16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -3\/2, -3\/4, 2\/3, 0.03?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*c - 63195 = 0, 28*c = -4*r + 31*c + 84267. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4813 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m*p**3*w**2 + 5899*m*p**3 - 19*m*p**2*w + 221*m*p*w**2 - 2*m + 28*p**3*w**2 + 50*p**2*w wrt p?\nAnswer: 6*m*w**2 + 35394*m + 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 499 - 74. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 356 - 164. Suppose 104*m - k = 102*m. What is the highest common divisor of 64 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04517312 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1860 and 163740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 17*v**2 - 20*v - 31. Let s be d(-18). Solve -3*j - 3 = s*k + 5, -j = -2*k - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 12:10 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -9 - 15) + -2 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1323 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -190*n - 2\/9*n**3 + 1050 + 34\/3*n**2.\nAnswer: -2*(n - 21)*(n - 15)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from {m: 2, j: 1, z: 3, w: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 5*h**4 - 6)*(22 - 27 - 47 - 2 + 2 + 2 - 3 + 0 + 1 + (-1 + 2 - 2)*(0 + 3 - 2) + 4 - 1 - 4).\nAnswer: 270*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8023 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 506237681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(2299)*1)**2*-4 + -2.\nAnswer: -9199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 65 + 66 = 0. Let t be 4\/w + 3\/(63\/66). Let i = -0.19 + 3.19. Which is the fourth biggest value?  (a) -0.1  (b) t  (c) 1  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -3\/2*c**2 + c + 4. What is the remainder when 27 is divided by u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63 - 136 - (6 + -8 + -5 + 0).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*6*(-3)\/2. Let t = x - -40. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 4*w - 1. Let h(y) = 5*y**2 + 736*y - 1502. Let q(d) = -h(d) + 2*n(d). Factor q(o).\nAnswer: -3*(o - 2)*(o + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4008 = -21*d - 2817. Let b = d - -371. What is the remainder when b is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3471, 8163, 39751, 101271, 202701?\nAnswer: 354019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/368 and -95\/28474.\nAnswer: 227792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2520)\/(-980) + (-1360)\/518.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2023898657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4536093km to nanometers.\nAnswer: 453609300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 31*z**2 + 10*z + 346. What is g(30)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 826 and 1180?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 u, and 1 d when three letters picked without replacement from tdtrzuv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {x: 1, w: 1, p: 8, d: 4, o: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i**2 - 208*i + 1349. What is the remainder when 559 is divided by a(7)?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 74.688615 nanoseconds?\nAnswer: 0.0000000000008644515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from unnpppnnnnzpquqn. Give prob of picking 1 p and 2 u.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -879, -1765, -2651, -3537, -4423?\n\"Answer: -886*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 - 2)*(87*a - 26*a + 756 - 754) in the form u + o*a and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 511, 1738, 4133, 8086, 13987?\nAnswer: 22226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20516057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.1 - -1.4. Let z = -31 + 81. Let s be -7 + 17 + -7 - z\/14. Which is the smallest value?  (a) j  (b) 1  (c) -0.3  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -255 - -252. Sort w, 1, -13 in decreasing order.\nAnswer: 1, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - (-6)\/3) + 4. Suppose 12 = 3*w - 3. Suppose 0 = -w*t - x - 13, x - 5 = -y*t + 4*x. Put 4, -3, t in increasing order.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141302 (base 8) in base 7?\nAnswer: 265234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 31 = -5*g - 49, -3*t - 4*g + 13 = 0. Let m(j) = -2 + t*j**2 + 0*j**2 + 4*j**2 + 9*j. Let w(k) = 4*k + 1 + 1 + 7*k**2 - 3. Give 6*m(n) - 13*w(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-5) - 15142\/17515\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q - 18. Calculate l(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20\/(-32))\/((-6)\/(-8)). Let q = -1.329 + 1.389. Which is the closest to q?  (a) j  (b) -3  (c) -2  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3191, 12734, 28607, 50786, 79247, 113966, 154919, 202082?\n\"Answer: -4*f**3 + 3189*f**2 + 4*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -1.778487.\nAnswer: 2.078487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -239, -1000, -2259, -4010, -6247, -8964, -12155, -15814?\nAnswer: -19935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1119995585?\nAnswer: 5, 223999117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10059049 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-6))\/(-1)*0. Suppose -4*s + l + 6 = -s, o = -4*l - 12. Let k be 1\/(2 - s) - 3. Which is the third biggest value?  (a) -0.4  (b) -5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -g - 2. Find the first derivative of -g + 31*z - 31*z + 0 - 5*z**2 wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112661?\nAnswer: 113, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.007 times 491\nAnswer: 3.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmumzmzuzzzczmmzm. What is prob of sequence zu?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/70*(2 - (-4 + (-3 - -4)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -x**4\/6 + 2*x**2. Let k(w) = w. Determine k(n(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((2*sqrt(190)*3 - sqrt(190)) + sqrt(190)))\/(1*((1*(sqrt(10) - (sqrt(10) + sqrt(250))) - sqrt(10)) + sqrt(10))).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16397682 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001269 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + 16*s - 11*s + 9*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/(-1) - 0) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21033001 + -3?\nAnswer: -21033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 - 3*t - 4. Suppose -4*s - s - v + 3 = 0, 2*v + 4 = -5*s. Let x(z) = z**2 - 3*z - 3. Calculate s*d(u) - 3*x(u).\nAnswer: u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 54*w + 81. Let y(k) = 11*k + 16. Let q(b) = -2*j(b) + 11*y(b). What is the derivative of q(g) wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*b**3 + 65*b**3 - 32*b**3)*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (104\/(-3))\/13*((-3)\/90)\/((-32)\/(-80))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**11)**3 assuming l is positive.\nAnswer: l**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132, 124, 102, 60, -8, -108, -246?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45.65 - -47. Let i = k - 0.1. Let h = -1.249882 + i. Round h to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2972\/(-2))\/(-14 - -12). Let b = 1245 - i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 495 or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 492*l - 1141*l = 1638*l + 2393*l - 205920 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35723*i**6*z - 2233*i**2*z - 45*i*z wrt i?\nAnswer: 4286760*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, d: 3, a: 3, c: 3, b: 6}. Give prob of picking 1 c and 2 z.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 324783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(142\/47 - 3). Let i = u + 234. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**3\/6 + 19*p**2\/2 + 2*p + 61. Let a be v(15). Solve -4 = -8*g + a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26828.04 hours in days?\nAnswer: 1117.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 + -4 + -1 + 3. Let z(a) = -a + 9. What is the tens digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 + -2 - -1*(-2)\/2. Let k be (2\/(-4))\/(w\/((-56)\/21)). What is the closest to k in 4, 0.5, -11, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 + 37. Let p = -13 + a. Suppose 5*w - 20 = -0*w. What is the remainder when p is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1184355.932 rounded to the nearest 10000?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -830857309*s**4 - 823473605*s**2 wrt s.\nAnswer: -19940575416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -13*x - 42. Let c be q(-2). List the prime factors of (-7562)\/(-20) + c\/160.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + i - 18 = -4*h, 3*i - 26 = -2*h. Suppose -509*z - 4 + 1 + 2 + 1 = 0. Suppose 0 = -5*n + 26 - 1. Solve z = n*t - h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.1, -1\/7, 21\/5, -3, 771\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 160*b**2 + 315*b + 243. Calculate r(158).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -9*y + 20. Give q(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176 and 3989997?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in 3, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 2632 = -2*v - 26*v. Solve v - 80 = -7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4 - 2) + (34 - -15963)?\nAnswer: 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, c: 3}. Give prob of picking 1 z and 2 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 134 (base 5) to base 8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-8))\/(37\/((-1332)\/(-135))). Factor 14\/5*u + o*u**3 + 6\/5 + 2*u**2.\nAnswer: 2*(u + 1)**2*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m - 5*a + 37 = 0, 69078*a = 2*m + 69073*a + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 52080857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 - 11a51?\nAnswer: -11a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**6\/24 + b**4\/6 - b**2\/2 - 2. Let k(q) be the second derivative of g(q). What is the second derivative of k(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8066815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l - 2*l + 3*l. Let k(r) be the second derivative of -7*r**4\/4 - 108*r - 2. Give k(u(c)).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13957609 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {c: 4, o: 7, x: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/((-6*(-15)\/(-96))\/(9\/12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004455014 rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 17 - 9*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 4*x**3 - 51128*x**2 - 45401436*x - 9753777648 = 0.\nAnswer: -423, 13628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -1)*(1 - 0). Suppose -2*d + 7*d - 15 = o. Let n(w) = 3*w**2 + 1. Let k be n(d). What is the greatest common divisor of k and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 250*g - 2426. Determine n(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-6 - 2 + 3)*(2 - 1 - 5)*(h + 2*h - h) - 3*h + 0*h + h)*(-7*h**2 + 0*h**2 + 6*h**2) in the form k*h**3 + v + b*h + r*h**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 5:05 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 80 + -1 - (99 - 116 - -34).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 9  (b) -3  (c) 214.8  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 127533688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/(j**(2\/19)\/j*j*j*j)*j*j)\/j)*j)**(-25)\/((j*j**(13\/2)*j)\/j*j**(-7)) assuming j is positive.\nAnswer: j**(-2019\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vpupuupuv. Give prob of sequence ppvv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (2 + -2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 4, 203, -1, -38, -7 in decreasing order.\nAnswer: 203, 4, 3, 1, -1, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 392, 353, 238, 5, -388, -983, -1822, -2947?\n\"Answer: -7*d**3 + 4*d**2 - 2*d + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h + 10. Let d be q(-10). What is the units digit of 1 + -3 + d + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -324822, -324811, -324788, -324747, -324682, -324587, -324456, -324283?\n\"Answer: d**3 + 4*d - 324827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6721000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-5*-1*sqrt(204))\/(sqrt(12) - (sqrt(12) - sqrt(72)\/(sqrt(150) + sqrt(6))) - sqrt(12)))**2*-6.\nAnswer: -3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5290 - 5053. Does 239 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/6*(-81)\/114)\/(300\/400)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**4 - j**3 - 2*j**4 - 4*j**2 + j**2 + 0*j**3 as d*j + p*j**2 + o + u*j**4 + w*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 290 = 4*r - 308. Suppose 0 = 11*x - 59 - 29. Solve -r = h - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 299*g**3 + 14*g**2 + 11*g - 27. Let u(z) = 199*z**3 + 9*z**2 + 7*z - 17. Determine 5*d(l) - 8*u(l).\nAnswer: -97*l**3 - 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13812 + 12 = 612*h + 308*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 13*q**2 + 28. Let y be i(-13). Suppose y = -g + 3*g. Suppose w - 8 + 2 = 0. Solve -g = 4*v + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*j - 6*j - 100 + 9 = 4*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104409182 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 104516 and 18444.\nAnswer: 313548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (41\/(-3))\/((-11)\/33). Let l = 71 - h. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25\/425 + (-1111)\/(-187). Let q(c) = -c**3 + 4*c**2 + 3. Let m be q(3). Calculate the greatest common divisor of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 9*z**3 - 2*z**2 - 49*z + 317. List the prime factors of v(12).\nAnswer: 11, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(14\/(-21)) - (-1)\/2. Let q(v) = 2*v + 2. Let s be q(3). Let j be 26\/s - (-2)\/(-8). Solve -5*r - 5 = j*d + m, 4*d - r - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 6*m**2 + 5*m. Let o be v(-5). Let t(f) = o - 1 - 75*f + 59*f. Give t(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 PM and 9:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8430 >= 8430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.76, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**3 + 1050*s**2 + 55125*s = 0. What is s?\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1680 is divided by 1674.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*m - 25*m - 255. Let z = 103\/2 + m. Factor -l + 0*l**3 + 0 - 3\/2*l**2 + z*l**4.\nAnswer: l*(l - 2)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2646\/735 + (-21)\/5. Let d = 33.561 + -33.7. Put -4, d, 0.1, h in increasing order.\nAnswer: -4, h, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/66 - (-10 + (-19113393)\/286)?\nAnswer: 2, 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 + f**2\/2 - 7*f. Let o(d) = -3*d**2 + 1 + 4*d**2 - 4*d + 3*d. Determine o(q) - x(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8\/7*s**4 - 4*s**3 + 0 + 48\/7*s + 4\/7*s**5 - 32\/7*s**2 = 0. What is s?\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o**3\/2 + 127497*o**2\/4 - 35070*o + 12753\/4 = 0. What is o?\nAnswer: -4251, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 10:38 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 4*k + k - k. Let g(x) = -3*x. Let j(b) = b. Let a(y) = -3*g(y) - 8*j(y). Give 6*a(w) - 2*c(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 49303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + i**2 + i - 6 + 5*i. Let a(z) = 2*z**2 + 33*z - 23. Let o be a(-17). Does 15 divide p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 110\/(-16)) + -6 + 4. Is v greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c47 (base 16) in base 2?\nAnswer: -110001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**4 + 2*d + d + 48 - 46 to q + w*d + j*d**4 + g*d**2 + k*d**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64.111 + -0.889. Which is the second smallest value?  (a) y  (b) -0.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 10 = -2*c. Let p be c\/(-2) + (-1)\/2. Let s be p\/(27\/(-30) + 1). Solve -k + 4*h - 12 = 0, -s = -3*k + k - 3*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.5  (b) 0  (c) 4  (d) -125584  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + 3*i**2 - 4*i**2 + 14*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-30 + 22 - -22) + -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w + 3. Let q be y(3). Let k(d) = -3*d - 4. What is the remainder when k(q) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -15.99999931. What is d rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/36 and -2*(-7637)\/1680 + -9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a - 4*a - 2899*a**2 + 2912*a**2 - a.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 134149644 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*u - 3*m - 1297, 0 = 4*u - 2*m - 1700. What is the lowest common multiple of u and 2115?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + b + 1. What is c(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8689, -17375, -26059, -34741, -43421?\n\"Answer: z**2 - 8689*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 482*o - 490*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14855 is divided by 236?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h**3 + h - 3*h**2 + 2*h**2 - 3*h + h. Let y be b(-1). What is the common denominator of 18\/(-45) + y\/(-20) and -101\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8 = -4*z + 6, 5*w + 2*z = 20. Let q be -2 + 0 + -9 + w. List the prime factors of (-8)\/12 + (-51)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 6 = -x - u, -x = -u - 2. Let k be (4 + x)*7\/(-98). Is k smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in -4, 0.5, -2\/80357, 0.16?\nAnswer: -2\/80357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7670997911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 91188826 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300 is divided by 94.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/20568 and 7\/30.\nAnswer: 102840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -469631.3348 to the nearest 100.\nAnswer: -469600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*a**5\/4 - 2973*a**4\/4 - 9012*a**3 - 37521*a**2 - 19824*a + 9408 = 0. Calculate a.\nAnswer: -14, -8, -1, 8\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 34 = -4*b - 6, 3*b + 14 = 5*m. Let w(x) = 9 - x + x**2 + 0*x + b. Calculate the remainder when w(-5) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3261750 by 6.\nAnswer: 543625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -243722, -243723, -243724?\nAnswer: -243725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 465 + -462. Solve -p*f - 12 - 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43161533809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1*sqrt(5) + sqrt(5))*-1 + -5 + (sqrt(20) - sqrt(5)))**2*4.\nAnswer: -120 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-6) - (12144\/114)\/(-8)) + -8.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36911257 to the power of 1\/2, to the nearest integer?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1\/4, -5, 4 in descending order.\nAnswer: 4, -1\/4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - ((101 - -24) + -58).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 586, 2307, 5184, 9229, 14454?\nAnswer: 20871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + 6*k**2 + 6*k. Let f be p(-5). Let d be (-1)\/((5\/(-4))\/f). Let g be (-6)\/(-4) + 1\/2. What is the closest to 0 in d, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 5*u + 54 = 0, -4*c = u + u - 58. What is the greatest common divisor of c and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5754068\/949443 - -4\/28771. Let r = 134\/3 + -51. Let v = t + r. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -51*a**2 - 9*a - 65. Let z(c) = -26*c**2 - 4*c - 32. Let l(m) = -4*d(m) + 9*z(m). Find the first derivative of l(g) wrt g.\nAnswer: -60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 17862 = -6390. Let z = g + 2755. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 5\/4, -381, 0.0479?\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 52 + -36. Let t = j - 8. Calculate the smallest common multiple of t and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.9 times -9\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i + 2909 + 2240 + 2691 = -196*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2*j. Let d = -94 - -98. Which is the nearest to 2\/5?  (a) d  (b) 0.02  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 3*a**2 - 3*a - 2. Let t(d) = -3*d**2 - 70*d + 52. Let r be t(-24). Suppose -4*z + 12 = -3*n + 5*n, r*n - 17 = -z. Give g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a763b7 (base 13) to base 5.\nAnswer: -4220103010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*u - 191 = 937 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of n**5\/12 - 7*n**4\/12 - 633*n**2. Let i(c) = -5*c. Determine i(l(q)).\nAnswer: -25*q**2 + 70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-24) - 50245\/(-742080)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/51)*k*k)\/k**(-2\/37)*(k\/k**(-3)*k)\/k**10 assuming k is positive.\nAnswer: k**(-5485\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 49, 3, 369 in ascending order.\nAnswer: -5, 3, 49, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -2852755302?\nAnswer: -2852755286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + d = i + 4, -3*i = -5*d - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 676 is divided by 546.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 - 18. Let q be (-4)\/3*(2 + v\/(-10)). Which is the closest to -1?  (a) q  (b) 3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 (base 16) in base 3?\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1105439027 less than 0.124?\nAnswer: 0.2345439027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -1163.\nAnswer: -4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 11*v**2 - v - 8. Let f be q(-8). Let a = f - 129. What is the greatest common factor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - (-40 + 58 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a + 2. Let m(n) = n - 2. Suppose -4*y = -5*r - 12, -4*y + 4*r + 7 + 5 = 0. What is y*m(w) + 2*i(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, u: 2}. What is prob of picking 2 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u - 342 + 1894 + 3*u + 7*u.\nAnswer: u + 1552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 118179270 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.3 + -7.8. Which is the nearest to 0.1?  (a) -5  (b) -2\/3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 5*a - 21, 0*a + 16 = 5*z - 2*a. Suppose 5*w - 35 = -3*s - z*s, -4*w = -3*s + 7. Let u = 246.1 - 246. Put u, w, -1 in ascending order.\nAnswer: -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 + 6*w + 9. Let g be u(-4). Let j be 0\/g*(-3)\/(-6). Suppose -2*x - 4*r + 3822 = -3896, j = r + 3. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/30 and 13\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1860531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 13. Let a(l) = -l**3 + 4*l**2 + 2*l + 1. Let h be a(4). Let v be t(h). Suppose 0*g + 36 = v*g. What is the remainder when 17 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1663382233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10559, -21183, -31805, -42425, -53043?\n\"Answer: c**2 - 10627*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 11:09 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 30 + 2 = 0. Let q be (-1005)\/(-20) + 2\/u. Let k = -117\/2 + q. Find the common denominator of k and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 426842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-12))\/(8*31\/14880)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -7*b**3 - b**2. Suppose 9 = -3*r - 3*h, 5*h + 6 = -2*r + 6*r. Let i be t(r). Solve -i*x + 7*x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 12591 = 2*a, -g - 2*a = -7*g + 75518. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -40*c - 1565. Let u be g(-47). Calculate the highest common factor of u and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -3135144?\nAnswer: 3135151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/152 and -25\/4952.\nAnswer: 94088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*7\/(-21)*5\/125.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**9)\/(w**(-9)*w))**(-6) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 143492 by -2.\nAnswer: -71746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/146828 and -43\/14696148.\nAnswer: 161657628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 - 13*k - 6. Let b be (15\/(-6))\/((-15)\/12). Suppose 60 = 4*m - b*i, 5*m - 9*m - 3*i = -40. Calculate g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -911542, -1823075, -2734594, -3646093, -4557566?\n\"Answer: f**3 + f**2 - 911543*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 700 is divided by 146.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84*q*s**2 - 27*q*s - 3*q - 11*s**2 + 2*s wrt s.\nAnswer: -168*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**3 - 44*i**2 - 10*i - 836. Give r(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {s: 3, h: 4, i: 1, f: 2, d: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 99 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*y**3 - 2118835*y**2 - 112238133040*y - 168352432215.\nAnswer: -5*(y + 105941)**2*(2*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of 0*z + 0 + 0*z**3 - 3*z**2 - 1\/24*z**4. Let d(f) = 2*f - 3*f + 2*f + f. Give d(j(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 110126 less than 110127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2796*o + 4391*o - 13113*o)*(-3*o**2 - 3*o**2 + 4*o**2).\nAnswer: 23036*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 86240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6351 is divided by 422?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1699 < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 105 = 4*l. Solve -4*x = x - 3*h - 18, 4*h = x - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that l**5\/4 - 17*l**4 + 95*l**3 - 124*l**2 = 0.\nAnswer: 0, 2, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022444412 (base 6) in base 7?\nAnswer: 160346060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 942238 or 8480138\/9?\nAnswer: 942238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 433 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2370 divided by -159?\nAnswer: 790\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10638?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1357 + 4407. What are the prime factors of l?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 2:54 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + ((sqrt(684) - (-5 + sqrt(684) + sqrt(684) + 1)) + sqrt(684) - sqrt(684) - (2 + -1*sqrt(684)))**2 + -3*-1*1*sqrt(684)*1).\nAnswer: -18*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 - 2)*(-4 + 4 + b) - 79*b + 60*b + 61*b - 2*b + 3*b - 3*b to the form m + u*b and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 101602779 - 157752779. Round s to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-five halves of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 331 - 328. Is 2\/(-6) - (q - 16262\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 169 = 5*l. Suppose -80 = l*y - 45*y. Let p(x) = 6*x**2 - y*x**2 + 9*x**2. Let f(t) = 16*t. Calculate p(f(r)).\nAnswer: -256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 167 - 150. Let n = r - 16.99188. What is n rounded to four dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 0*f + c + 24, -3*f - 9 = 3*c. Let o = f + 3. Let q(p) = 3*p**2 + 6*p + 2. List the prime factors of q(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (15 + 9 - 13 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**3 - 82*b**2 + 645*b + 26601. Calculate o(-41).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 5, -0.1, 3, -56?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 3) + 2 + -2. Find the common denominator of (-3)\/x*(-8)\/(-21) and 39\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -103 + 136. Does 33 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143899263.\nAnswer: 3, 431, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2985)\/(-10)*1\/6. Let i = -5 - 44. Let m = q + i. Which is the closest to -2\/3?  (a) -2\/11  (b) 4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001977 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**20\/p)\/p*p)\/p*p**(2\/3)\/p*p**(1\/4)*p\/p**(-1\/7) assuming p is positive.\nAnswer: p**(1601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b - 9. Let x be h(5). Let g be 614339\/(-1210) - x\/(-22). Let o = g + 506. Find the common denominator of 59\/3 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 1030112?\nAnswer: 1030120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 7, z: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.49 - 0.09. What is the nearest to -0.4 in u, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -12. Suppose b*n = 40 + 15. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 2)*(0 + 0 + 3*q)*(0 - 3 + 0).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -195 by 3.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**15)**48*k\/((k\/k**(-1\/5))\/k)*k*k*((k\/(k*((k**(-18)\/k)\/k)\/k*k*k))\/k)\/k*k*k assuming k is positive.\nAnswer: k**(3949\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -74) + (((-4140)\/(-60))\/138)\/((-2)\/52)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/r**0)))\/r)**(2\/5)\/(r\/((r\/((r\/(r\/(r\/(r\/(r**(5\/6)\/r)))))\/r))\/r*r)*r*r*r*r\/r**(-10)) assuming r is positive.\nAnswer: r**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 4*f = -3 - 5, 0 = 2*d - 5*f + 10. Let m(x) = -x**2 - 14*x - 10. Let s be m(-11). Let w = 28 - s. Solve q - w*q = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, 290, 831, 1570, 2489?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/54 and 74\/153.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than 0.3109?\nAnswer: -7.6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4624 + -5?\nAnswer: -4629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0. Let k be ((-30)\/50)\/((-675)\/(-125)). Which is the second smallest value?  (a) u  (b) k  (c) 0.1  (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -7*v - v + 1 + 2*v. What is the units digit of d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15859*n + f = -15864*n + 35, 5*n - 2*f - 65 = 0. Let 3\/2*l**5 + 27\/2*l + n*l**4 + 21*l**3 + 24*l**2 + 3 = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*r**2 + 17*r + 4*r**2 + 2*r**2 in the form z*r**2 + n*r + v and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4862*c**3 + 7111*c**2 - 149816772*c?\nAnswer: -29172*c + 14222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0718 + -5601.716.\nAnswer: -5601.7878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4\/1*4\/(288\/(-126))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -21. Suppose -y*m = 2*m. Which is smaller: m or 1\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -7. Suppose -3*b = 2*l + 3, 0 = -l + 2*b + p*b - 18. Let q be (4\/l)\/((-38)\/(-7) - 4). Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -45980628*v. Let g(w) = -w. Give g(n(i)).\nAnswer: 45980628*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -j - 35. Find the first derivative of 0*k - k + 63 + k + k**3 - j*k wrt k.\nAnswer: 3*k**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (4 - 1) + (-3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of s**6\/720 - s**5\/20 + s**4\/2 + 12*s**2. Let y(v) be the second derivative of a(v). What is the units digit of y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -3*n**4\/20 - 11*n**3\/5 + 18*n**2\/5 + 12. What is m in c(m) = 0?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6864 - 6896.91. Let t = -29.1 - q. Let r = t - -0.19. What is the nearest to -2 in r, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158276583 to the power of 1\/2, to the nearest integer?\nAnswer: 12581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6353844 to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1500)\/90 - 5\/(25\/(-70))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 77*h**6 + 76*h**6 + 58*h**3 + 82*h**2 - 58*h**3 + 47*h**6 - 5*h wrt h.\nAnswer: 24000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.04 and -29997079?\nAnswer: 29997079.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 55580 and 1036?\nAnswer: 2056460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2461*m**6 - 2696*m**5 - 129507*m**2 + 48 wrt m.\nAnswer: -295320*m**3 - 161760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 958351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, d: 6}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2 = -4*f, 10*f - 5*f = -b + 10. Suppose f*j - 63 = 9. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 347 divide 281903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-2)*u*u)**(-5\/8)*(u**(-2))**(1\/13))**(-44) assuming u is positive.\nAnswer: u**(891\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 5:36 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 - 10*v - 3. Suppose -3*t = -17 + 2. Let h be z(t). Which is bigger: -14\/9 or h?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16\/53 in -2, 4, -7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x = 107137 - 106942 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 42 = 3*a, -5*a + 2*q - 72 - 5 = 0. Let h be a\/(-6)*6\/1. Let n be 10\/(-16)*h\/25. What is the second smallest value in 0.1, 4, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9827 - -1965. Suppose 27*l = 5*l + w. List the prime factors of l.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2841*k - 5711*k + 1778*k)*((4*k - 3*k - 3*k)*(4 - 1 - 5) + (0 + 1 - 3)*(0*k + k - 2*k)) as a*k**2 + d + o*k and give a.\nAnswer: -6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -73006683*h**3*x**2 - 925*h**3*x - 15*h**3 + 2*h**2*x + 2*h*x - 329 wrt x.\nAnswer: -146013366*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 5, x: 14}. Give prob of picking 3 q.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w - 4*s - 24, -2*w + 2*s = -0*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160, -166, -176, -190, -208?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328*v = 166*v + 161*v + 3*o + 18, -2*o = v - 13 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.219 * -0.4\nAnswer: -0.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**5 - 106*c**4 + 550*c**3 + 11546*c**2 - 24308*c + 12320 = 0 for c.\nAnswer: -56, -10, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 1. Let b be u(-2). Suppose 5*j = 5*s + 25, -b*s + 4 = s + 4*j. Let h be (-19 - -19)\/(2\/s). Solve d - 2 - 5 = k, 2*k - 3*d + 16 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 9:07 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 4*g**2 - g - 1. Let u be (-11 + 21\/3)*2. Let c be (12\/u)\/((-1)\/((-24)\/9)). Calculate p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 5*b - 270, 0 = -5*b + 2*b + y + 162. Sort 1, b, -2.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -35, -64, -99, -140, -187?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1536\/96 - (-339)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 4*j + 80, -130 - 15 = -5*p - j. Let c = -26 + p. Solve -2*x + 8 = 0, c*z = -0*z + 3*x - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + x = -4*u + 13, -5*u + 4*x = -23. Which is the closest to 1\/4?  (a) u  (b) 0  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-11 + 11)*(-1)\/2. Suppose -y - 7 = -4*r, -2*r = 2*y - 3 + 17. Let p = 15 + y. Solve -h - p = 5*u, x*h + h - 2 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 6*o + 7. Let q be 2\/(-4)*(1 + -1). Suppose 3*y + 5*s - 51 = q, 3*s + 51 = 2*y + 3*y. What is the least common multiple of a(7) and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*b - 390 = 8*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a - 57. Let r(x) = -12*x + 230. Let d(t) = 22*g(t) + 6*r(t). What is the smallest common multiple of 69 and d(19)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/11 + 511706090*o\/11 + 65460780635772025\/11.\nAnswer: (o + 255853045)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0*c + 4*o - 1 = 0, 4*c = -o - 16. Let m be (-30)\/6*4\/c. Suppose 0 = 3*l + 2*b - 69, m*l + 5*b + 0*b = 92. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(275))**2*1 + sqrt(275) + -2 - (4 + (2 + sqrt(275) + sqrt(275))**2)*1) + 1.\nAnswer: -833 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from owwwuwuo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1128 - 1124. Solve -f + r*j + 4 = 3*f, -f - 3*j = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2290*n*r**3 + 11*n + 3*r**6 - 1193*r**2 wrt r.\nAnswer: -13740*n + 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of j**8\/1680 - j**7\/420 - 29*j**4\/12 - 97*j**3\/6 + 75*j. Let c(l) be the second derivative of o(l). Differentiate c(t) wrt t.\nAnswer: 4*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from {k: 3, e: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 35.12687 kilometers?\nAnswer: 35126.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -47*o**4 - 2*o + 77 wrt o?\nAnswer: -188*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, j: 3, t: 1}. Give prob of sequence tjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 10100, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 0*d - 15 = 0. Suppose -w = -0*w - d. Solve -w*i + 5 = -10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4 - (-3)\/(-6)*-2*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97363 divided by -59?\nAnswer: -97363\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 445, 1773, 3985, 7081?\n\"Answer: 442*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.8 + 2.5. Which is bigger: 2\/31 or c?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (9 - -2) - (-3 + -11 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699998787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 14*q + 35801 = -18*q, 2*q - 2 = 0. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1304)\/8*(1 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 5*n - 14. Give f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ouvuuuv. Give prob of sequence uu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 13, w: 3}. What is prob of sequence fw?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -105*-3*4\/24*5160\/83850\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -7*s + 2*s + s**2 - 2*s**2. Let x be h(-4). Suppose -3*u + 4 = -t, x*u - 1 = -5*t + 55. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*c - 3*u - 17, 2*c - 16 = 4*u. What is the highest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 1. Let s(x) = 2*x + x - 2*x. Calculate q(p) - s(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 10244336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*p + 20 + 820 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-368)\/(-368)*(-12)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/5 of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2. Let j(o) = -7*o**2 - 2. Calculate -j(n) + 4*k(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -10. Let y(i) = 2*i**2 - 3*i + 3. What is y(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-132)\/110)\/(6\/(-20)). Suppose -m*j - 5*p + 20 = -5*j, -2*p = 2*j - 8. Let v(g) = g**2 - g - 2. Determine v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 92 - 73. Suppose -2759 = -t*s - 346. Let o = 62 + -30. What is the remainder when s is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q**4 + 392*q**3 + 11910*q**2 + 118790*q - 131060. Let v(l) = -l**4 + 2*l**3 + l**2 + l + 2. Let d(o) = g(o) - 6*v(o). Factor d(z).\nAnswer: 4*(z - 1)*(z + 32)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 11*i - 7. Let g(s) = s**3 + 5*s**2 - s - 10. Let q be g(-4). Let h be d(q). Solve -2*l - 14 = -5*r, 0 = -r - r - h*l - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 8411.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 3. Let n(q) = 4*q + 14. Let u(o) = -o**2 - 11*o - 42. Let c(b) = -11*n(b) - 4*u(b). Suppose 0*a = -a + 14. Give a*x(w) + 3*c(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 18703361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/(-8)*(-6)\/(-5). Suppose p*m + 2*m - 454 = -q, q - 184 = -2*m. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (58\/(-70))\/((-3)\/(-48)). Let s = 67\/5 + y. Let f(r) = -r**3 - 3*r**2 + 3*r + 4. Let n be f(-3). Which is the nearest to 0?  (a) 0  (b) s  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/2*(-2 + (-20)\/(-4)). Let w be m\/((-32)\/176*(-2)\/(-4)). Let i = 67 + w. Calculate the highest common divisor of i and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.139 - -0.639. Which is the nearest to 0.1?  (a) 0  (b) r  (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -44*y**3 - 222*y**2 - 43*y - 170. Determine i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f + 25. Let u(q) = 2*q + 13. Let w = -9 + 16. Let x(v) = w*u(v) - 3*y(v). Let i be x(13). Solve 6*d = 3*d - 5*n - 1, 0 = -2*d - i*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**5 - p**2 + p. Let b(a) = 7*a**5 - 5*a**2 + 6*a. Suppose 0 = 3*d - d + 12. Let i(o) = d*x(o) + b(o). What is the third derivative of i(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - -8ba707?\nAnswer: 8ba6ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1786 - n - 1929 + 2*n.\nAnswer: n - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -8*n - 4. Let m(b) = -b - 1 - 5 + 5. Calculate 6*m(c) - q(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**4\/24 - 5*a**3\/3 - 460*a**2 + 3. Let l(o) be the second derivative of o**3\/3 + o. Give l(f(m)).\nAnswer: 2*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -3  (c) -2570  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - c = -8*d - 3, -3*c = 2*d + 1. Let k be (d\/4)\/((-8)\/560). Solve 0 = -2*q - 2, -5*j - k = 2*q - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 0. Let a = n - -8.000046. Round a to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 + -7 + 12 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14, -32, -62, -104, -158, -224?\n\"Answer: -6*u**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 6*g + 5. Let j be v(-5). Let m = -21 + 23. Suppose -f + 217 = -0*i + 3*i, -m*i + j = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c - 2 + c - 3*c + c**2. Let j = 4 + -40. Let s be ((-4)\/8)\/((-6)\/j). What is u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2002507*v + 14017548. Give y(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4555 + -433444?\nAnswer: -424445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o**4 - 80*o**3 - 364*o**2 = 0.\nAnswer: -13, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -33325*(3 - 4) - (-36 - -39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/72*(-1)\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*m - 509*m + 126*m + 83*m + 129*m + 122*m.\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3230683711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 12) + -7 + 8 + -10 + -6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/124 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from zzzzzohohzhzhz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 29. What is d(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4644436943.\nAnswer: 23, 201932041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54766 and 367996.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25074, 25135, 25208, 25299, 25414, 25559, 25740, 25963?\nAnswer: 26234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 497689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -3*s**5 - 300 + 2*s**3 + 301 + 4*s**3 - 3*s + s**4 - 2*s**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 - 1 = -3*p. Let r(h) = -h**2 - 3*h - 6. Let z be r(-4). Let o be (-1 + 2\/4)*z. Calculate the greatest common factor of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by -91.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i + 17 = -11*i + 5*r, -25*r - 10 - 2 = -30 - 57 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1077569 by 47.\nAnswer: -22927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -19*a. Suppose f - d = -4, f - 4*d + 0 = -10. Let j(q) = 3*q - 5. Let r(k) = -k - 7 - 6 + 16 - 1. Let y(p) = f*j(p) - 5*r(p). Give w(y(c)).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*c - 1 = -0, -4*c = -3*t + 24. Suppose t*l = 6*l - 2. Solve -5*w - 11 = -l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -137560 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -292 divided by 4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 46, 211, 454, 751, 1078, 1411?\n\"Answer: -4*w**3 + 63*w**2 + 4*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -10*f - 2. Give b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-10))\/((-1)\/3*-4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 769631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 201750 and 825.\nAnswer: 2219250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-1)*(-8)\/10. Factor 28*i**b - 5*i**2 + 2*i - 8*i**2 + 0*i**4 + 13*i**3.\nAnswer: i*(i + 1)*(4*i - 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225042943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuhhuu. Give prob of picking 1 h and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*o**3*r + 44*o*r + 634*r wrt o?\nAnswer: 24*o**2*r + 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27860 + 27860.43171. Round z to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i - 5*i - 7*i + 10*i**2 - 9*i**2 + 4*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 673150267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 132 - -8. Suppose m = -3*m + d. Let k be 3750\/(-7)*m*640. Round k to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, 240, 557, 874, 1191?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*l + 19. Let d = l + 7. Suppose -2*t - 4*s + d = -3*t, 0 = 4*t - 4*s - 20. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 3*y**2 - 2*y - 4. Let w be k(2). Solve 3*n - 3*h + w = 0, 2*h = 3*n + 19 - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - d**2 + 4. Suppose -5*q = 24 + 6. Let c = q - -9. Suppose -5*t + 15 = c*r, t = -4*r + 4 - 1. Determine s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 94\/(-18) - (-66)\/297.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 + 3.9. Let j = -4.000013 + y. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1390514097 minus 4.1?\nAnswer: -3.9609485903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -667 * -3646.\nAnswer: 2431882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8058, 13077, 18096, 23115?\nAnswer: 28134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = x + 4*n + 4, 8 = 2*n. Suppose 15 = -x*a + 7*a. Let c(d) = d**2 - 2*d**a + d**2 - d - 3*d**2. Give c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {i: 3, x: 7, c: 1, a: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-1)\/(-8)*2. Let j = -17.128 - -17.128. Which is the closest to w?  (a) 4\/5  (b) j  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aazahaappkozopkpoap. What is prob of picking 1 o and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4.22 and -1021.58.\nAnswer: -1017.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -6, 3\/5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3)*r**(-3\/10)*r**(2\/3)*r**(-8)*r*r*(r*r**0)**(3\/2)*r**1*r**7 assuming r is positive.\nAnswer: r**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19379732, -19379735, -19379738, -19379741, -19379744?\nAnswer: -19379747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2728984, -2729020, -2729056, -2729092, -2729128, -2729164?\nAnswer: -2729200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -140 - -180. Calculate the greatest common divisor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1845172 by -28.\nAnswer: 65899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -396*s + 791. Calculate l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -251359 - -251261.9894. Let q = z + 97. What is q rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 432 and 488?\nAnswer: 26352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -110011110111011110 (base 2) to base 8\nAnswer: -636736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2032  (b) -1\/4  (c) -0.5249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**3\/7 - 18516*j**2\/7 - 1528398*j\/7 - 31401080\/7 = 0?\nAnswer: -41, 9340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-2) + (-2373)\/63. Let x = 34 + z. Let c = 27 + -27.5. What is the biggest value in -5, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.02 and 61302689.\nAnswer: -1226053.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/(-20) - (376\/40 + -5). What is the nearest to -13 in f, 1, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4530329 is divided by 405.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/15)\/((-16)\/(-864)). Put 4, -3, r in descending order.\nAnswer: r, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -23*w**2. Let f(m) = 316*m**2 + 314*m**2 - 654*m**2. Calculate -4*f(l) + 5*x(l).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*o**4 + 398704506*o*q**2 + 822271116*q**2 wrt o?\nAnswer: 8*o**3 + 398704506*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1808 + 1807.6. Which is the third biggest value?  (a) p  (b) 3361  (c) -0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13550, -13646, -13740, -13832, -13922, -14010, -14096?\nAnswer: -14180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*u + 7 + 11, -2*u + 2*s + 12 = 0. Let o(a) = a**2 - 2*a + 2. Let i be o(u). Let j(w) = i*w + w - 10*w. Let p(y) = 2*y**2. What is p(j(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*f**2 - 12 + 2*f**3 + 3*f**2 - 3*f**3 with respect to f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*(a*a**(3\/5))\/a*a**11*(a**(8\/5))**(-5\/3) assuming a is positive.\nAnswer: a**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3281*f - 630*f = 39765 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 62. Let j = v - -90. Calculate the least common multiple of j and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 798000 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, z: 2, e: 2}. What is prob of sequence eaze?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**(1\/3))**50*(f**(-2\/9))**38 assuming f is positive.\nAnswer: f**(674\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 - 15*h**2 + h - 13. Let l be w(15). Suppose -2*i + 34 = -4*k, -l*i + 12 + 10 = -k. Solve 5*g + 3*a = g - i, -5*a - 15 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -9*v - 77. What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 29, 46, 81, 140, 229, 354, 521?\n\"Answer: y**3 + 3*y**2 + y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o. Let z(t) = -t + 721. Give a(z(j)).\nAnswer: 2*j - 1442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 828 is divided by 227?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 0) + -3 + (-1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1020*i + 4*i**3 + 1020*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjwfnfysfwfwwwww. What is prob of picking 2 w and 1 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (264\/352)\/((-9)\/(-4)). Factor -2*o**3 - 4\/3*o**4 + 0 - 4\/3*o**2 - 1\/3*o - i*o**5.\nAnswer: -o*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29 and 0.8155293?\nAnswer: 23.6503497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 449 + -453. Put -2, -1, -19, w in decreasing order.\nAnswer: -1, -2, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(1\/(-1))*(133560\/(-212))\/(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*z + 18*z - 31*z - 18*z as w*z + y and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*4\/(16\/(-60)). Let m = f + -29. What is the least common multiple of 20 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 8\/9, 21.458, 10\/11 in ascending order.\nAnswer: 8\/9, 10\/11, 3, 21.458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -6. Suppose v*s = -3, -4*y + 0*y = 3*s - 5. Suppose 0 = -4*h + 2*x - x + 156, 0 = y*h - x - 76. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*r = 47*r + 84 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38061 + -14962. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7\/3 + -2)\/((-7)\/21). Calculate the common denominator of -91\/92 and n - (-1 + 16) - (-52)\/156.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 3*y - 15 = 22, -4*f + 4*y = 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1813 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 2}. Give prob of sequence ww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**3*o**3 - 427*h**3*o**2 - 7*h**3 - 3*h**2*o**2 - h**2 + 20*h*o**3 - 25*h wrt h?\nAnswer: 6*o**3 - 2562*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*b - 15 = -0*b, -2*h = -b - 12. Solve -2*w - 14 = 4*g, 0*w - h*w = g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*d = -156 + 380, 2*f - 3*d = 239. What are the prime factors of f?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 3*s - 2*s = 157, 4*f - 4*s = 140. Suppose -w = -4*o + f, -16 - 6 = -2*o + 2*w. Solve 2*p + 5 = o*p + 5*u, 15 = 3*p - u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1.01, 0.2, 0.01, 2327?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a*c*f*q**2 + 724*a*c + a*f + 83*a*q + 5*c*f*q**3 + 24*q**3 wrt c.\nAnswer: -2*a*f*q**2 + 724*a + 5*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15324 divided by 6.\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 161791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -162 * 44436\nAnswer: -7198632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5402542542 to the power of 1\/2, to the nearest integer?\nAnswer: 73502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1009, 4165, 9409, 16741, 26161?\n\"Answer: 1044*m**2 + 24*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 377778 and 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, c: 1, t: 2, k: 1, q: 2, b: 5}. Give prob of sequence ucuq.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 116 = -998. Let f = 154 + s. Solve 3*t + 9 = 3*v + f*t, 9 = 3*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 758 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-1751)\/289 - (-18)\/306\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2596, -5175, -7754, -10333, -12912?\n\"Answer: -2579*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l**2 + 21*l. Let g(j) = -44*j**2 + 182*j. Let n(p) = 3*g(p) - 26*t(p). Let s(a) = 2*a - 4. Determine s(n(w)).\nAnswer: -4*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8089.\nAnswer: 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**4\/3 + 323050*h**3\/3 - 646092*h**2 + 3876536*h\/3 - 2584352\/3 = 0 for h.\nAnswer: 2, 323044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -57*a - 1290. Give k(-20).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 386 and 618.\nAnswer: 119274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((k + 0 + 0)*(-2*k + 2*k**2 + 2*k) + k**3 + 0*k**3 + 0*k**3)*(3*k - 3*k + 2*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 7*b**2 - b + 5. Let z be o(7). What is the remainder when (-3 - 88\/z)\/1 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(-2)*(-64)\/(-256).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i - 9. Let z be c(2). Let p be (z - 55\/(-10))*4\/(-9). Does -1\/29 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 6:24 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1240 divided by -31\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -3*s - 3*k + 61, -2*k = s - 22. Suppose -10778 = -s*f + 1942. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -16. Let r(m) = -3*m. Let y be r(q). Let a = y - -25. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 18*m + 10*m + 6*m.\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.682 + -0.082. Let r = q - 6.59936. Round r to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6565 + -6566. Which is the second smallest value?  (a) w  (b) -2\/15  (c) -25.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 7 + -5 - -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*l - 8*l + 24*l + 16*l)*(-6 + 0 + 1).\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of p**5\/60 - p**4\/4 + 5273*p**3\/6 + 9*p**2 + p. Is g(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3.722401 seconds?\nAnswer: 3722.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*f - 128, -5*f - 5*g + 106 = -49. Let x = f + -20. Solve -4*h = -8, -2*o - 2*h = -4*h + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of 47*d**4\/24 - 2*d**3\/3 + 2*d**2. Is k(4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**2. Let m(u) = -643*u. Give m(b(c)).\nAnswer: 1286*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of 5*f**4\/24 + f**3\/6 - f**2. Let c be g(3). List the prime factors of 72\/c + (-1)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 4437\/102*(48 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -136\/3*p + 134\/3 + 2\/3*p**2.\nAnswer: 2*(p - 67)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 10*n + 28. Let r be g(12). Calculate the greatest common divisor of 44 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (3 + (-2 - 4) + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*h - 2*r, -5*h - r = -0*h - 9. What is the second biggest value in h, -2\/55, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 3. Let u = -18574 + 1615879\/87. Let y = -1\/87 - u. Which is the smallest value?  (a) y  (b) -1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 - 27*j**3 - 69*j**2 - 9*j + 108.\nAnswer: -3*(j - 1)*(j + 3)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 28*d**3 + d**2\/2 + 6. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1\/2, -3, 4, 180 in increasing order.\nAnswer: -3, -1\/2, 4, 5, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159776141.\nAnswer: 7, 61, 593, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1486, -11367, -38190, -90427, -176550, -305031?\n\"Answer: -1412*h**3 + h**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.43 in 2\/5, 0.066, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 9 = 3*u, 15*s - 15 = -5*u - 0*s + 14*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 2.57830037 and -10560.\nAnswer: -10557.42169963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10690009 and 10690009?\nAnswer: 10690009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28001971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (17 + 2)) + (51 - 107) + 55\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 13*b + 7. Determine f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/45 and -197\/334290.\nAnswer: 1002870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = g - 2*i - 3, 2*g - 3*i + 63 = 0. Let u = 440 - g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + w + 3*w)*(-w - w + 4*w) - 76*w**2 - 224*w**2 + 16*w**2.\nAnswer: -282*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3012 + 2?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -17*k**4\/2 + 1380*k**2 - 168*k. Find the first derivative of a(l) wrt l.\nAnswer: -204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -158 - 517*c**3 - 32*c**2 - 5*c - 505*c**3 + 1021*c**3. What is s(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 786008 and 0.002299.\nAnswer: 786008.002299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 3*o + 878149, 5*d - 1151684 = -o + 1043646. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 949*o*q**2 + 32312612*o*q + 15446*q**4 - q wrt q.\nAnswer: 1898*o + 185352*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 + 45. Suppose z - p*r + 0*r + 12 = 0, 5*z + r + 5 = 0. Let d(x) = -2*x + 1. What is d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/6 - 26\/(-6). Suppose 3*h + 12 = l*h. Solve 0 = -4*r + v - 3, 2*r - 3*v + h = v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of 0 + 0*u**2 - 2\/3*u**3 - 9*u. Let h(j) = 5*j**2. What is h(r(z))?\nAnswer: 80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/902524 and -121\/2254?\nAnswer: 145306364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 5*b + 2. Let v(r) = 13*r - 5. Let y(q) = 12*q - 4. Let z(a) = 6*v(a) - 7*y(a). Determine -7*t(l) - 6*z(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i - 636 = 612. Solve 71*s - i*s + 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4786\/44745 + -4\/2355. Put v, 5, -8 in descending order.\nAnswer: 5, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (20 - (-20 + 14 + 0)) - -28.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 82 - 7 = 0. Solve 4*p + 13 = -0*o - 3*o, -5*o - n = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -83.1 + 86.1. Which is the nearest to 1?  (a) o  (b) -2.1  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 31 = -3*a, 4*a = 3*r - 2*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(20) + -1*sqrt(20))*-3)\/sqrt(10) + (sqrt(352)*5)\/(2*sqrt(22)\/sqrt(2)).\nAnswer: -5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + 2 + sqrt(112))**2 + 6*sqrt(21)\/sqrt(3).\nAnswer: 26*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from llrrvrrrrr.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 692 - 116 = 4*q, 0 = -5*h + 4*q + 2808. Suppose -j + h = 3*l, -4*l + 576 = -l + 5*j. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**4 - 2*q**4 + 2*q**4)*(2*q - 5*q - q - 12*q - 6*q + 0*q + 2*q - 2*q - 2*q + (-1 + 0 + 0)*(2 - q - 2) + (q - 3*q + 4*q)*(4 + 1 + 1)).\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -900 + 899. Are 8\/209 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, k: 6}. What is prob of picking 1 x and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -350 + 6892. 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 the nearest to 625 in 1, 245, -2\/15?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4.2+74618.81\nAnswer: 74614.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 3:02 AM?\nAnswer: 499","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 277*q**5 + 114*q**2 wrt q?\nAnswer: 16620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2205 divided by 9.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/20 and -17\/14463830.\nAnswer: 28927660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.298 and 173?\nAnswer: 175.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*o - 426054 = 33*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -529*z + 656*z - 508 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**4 - 2 - 3*k**3 + 0*k**4 - 3*k**4 to r*k**4 + o*k + d*k**2 + i + p*k**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150 = 772*v - 747*v. What is the greatest common factor of v and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*g**3 + 9*g**3 + 17*g**3)*(-3*g - 2*g + 18*g) to the form t*g**3 + n + f*g + q*g**4 + z*g**2 and give q.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8938302 - 7*r - 8938302.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 10*k - 19. Give c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 113.7491 rounded to zero decimal places?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 5\/30 - (-202)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27714 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: Solve -806 - 472 = 19*q + 194*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19529 = -5*c - 5629. Suppose -c = -19*b + 14*b. Suppose 4*h = -4*t + b, 2*h = -t - 4*t + 695. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjcjvccc. Give prob of picking 1 v and 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + (-300)\/(-78))\/(2420\/(-715))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - -6*3*sqrt(88))\/(sqrt(128) - (sqrt(128) - (-1*sqrt(128) + sqrt(128))) - sqrt(128)))**2.\nAnswer: 3971\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000180308 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -6*s**3 + 2*s**2 - 7*s - 13. Let k(w) = 7*w**3 - w**2 + 8*w + 12. Let t(u) = 5*k(u) + 6*m(u). Does 5 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5 + 3 + (-344 - -2). What is the remainder when (3\/6)\/((-4)\/g) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*(0 - (-2)\/4). What is the units digit of 9\/z + 9 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40 - -119. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - 6)*-3*890. Suppose 2*v - f = -v. Round v to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -33 - (-4)\/(-2 + -2) - 0. Let f = n - -34. Let r(q) = -5*q + 116. What is the tens digit of r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -13*k - 3. What is the lowest common multiple of 16 and d(-1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 5:57 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 36232 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 13*f**2 + 14*f + 2. Let u be i(14). Let g be (-15)\/(-30) - (-7)\/u. Suppose s + 35 + 137 = g*m, 216 = 5*m - s. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 754 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -5. Find the third derivative of -r**i + 2*r**4 + 12*r**2 + 2*r**4 + 4*r**4 wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -432 divided by 3.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3 + 7, -h - 14 = -3*q. Suppose -k - q*k + 80 = 0. Determine f, given that -3*f**3 + 2 + 3*f**2 + 4*f**3 + 15*f**4 - k*f**4 - 5*f = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*t**4 - 4809*t**3 - 244141*t wrt t.\nAnswer: -144*t**2 - 28854*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 9:12 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 2 - 2)*(2898*h - 87*h + 2209*h) + (-4*h + 3*h + 0*h)*(-1 + 5 - 5) to l + r*h and give r.\nAnswer: 10041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrycccycccrrc. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 - 2*p**2 - 4*p**2 - 15 - p**2 as j*p + f*p**2 + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 781 * 1.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -22*q - 2. Give a(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1692)\/(-126))\/(-47))\/(1\/84*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.222 - 3.2254. Which is the nearest to 1?  (a) 3\/7  (b) s  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 8*k**2 + 2*k - 3. Give d(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 120008*s + 29. Determine q(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 28*i**3 + 11531*i**2 + 11521*i - 8. What is o(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 1400831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgyu when four letters picked without replacement from {u: 2, z: 2, m: 2, g: 1, y: 5, s: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3 - 2*t**2 - 1 - 1 - 4*t**2 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 1136 = -1048. What are the prime factors of d?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + c**2 + c + 8. Let q be m(0). Suppose -3*d = -q*d + 475. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9676008 is divided by 2763.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/19)*m**8)**(2\/11) assuming m is positive.\nAnswer: m**(300\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 318, 638, 958, 1278, 1598, 1918?\n\"Answer: 320*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/6*7\/((-91)\/(-39)). Solve -35*s = -39*s + g - 22, 0 = -5*s + p*g - 20 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -810.8252 and 1.2.\nAnswer: -972.99024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(2\/5)*a\/((a*a**(3\/2))\/a))\/((a**(1\/6)\/a)\/(a**(-8)\/a)))**(-34))**(5\/4) assuming a is positive.\nAnswer: a**(2057\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28728 is divided by 361?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7920) - ((sqrt(7920)*1 - sqrt(7920)) + sqrt(7920)))*-4*-1)\/(5*(sqrt(405) - (sqrt(405) + 1*5*sqrt(405)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 149173 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54238, 54463, 54836, 55357, 56026, 56843?\nAnswer: 57808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*p**5 + 6*p**4 - 1434*p**3 + 4*p**2 + 6626791.\nAnswer: 1140*p**2 + 144*p - 8604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((-16 - -4) + 8 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttdvdvzzdzzz. What is prob of picking 1 d and 1 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, 1266, -4, -342, -3 in ascending order.\nAnswer: -342, -7, -4, -3, 4, 1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -208 + 213. What is the nearest to -0.1 in -2\/19, 2, -0.47, c?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 354 - 119 = -30*k - 155 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3625, -4, -5 in decreasing order.\nAnswer: -4, -5, -3625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76000437 divided by 129033.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f**3 - 9*f**2 - 3*f - 1. What is the tens digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2485, 2545, 2703, 3007, 3505?\nAnswer: 4245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 24 = v, -3*v - v = -3*q + 37. What is the second derivative of 7*p**2 - 6*p**2 - 19*p**2 - q*p**2 + 8*p wrt p?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1380, -347, 1412, 3927, 7228, 11345, 16308?\nAnswer: 22147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8325 + -5024. Suppose -i - 7 = -2*j - 2*i, 5*j - 2*i = 31. Let u be b\/j + 4\/(-20). Round u to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -11*s**4\/4 + 2*s**3 + 10*s**2 + 14*s + 7. Let v(r) = 4*r**3 - 2*r**2 - 7*r - 5. Let f(d) = 3*o(d) + 8*v(d). What is f(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1930 is divided by 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/(b\/(b\/(b*b*b*b**5)))*b)\/(b*b*b\/b**(-1\/2)))**(-39))**19 assuming b is positive.\nAnswer: b**(12597\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = 4*f - 27, -f = 4*w + 11. Suppose -233 = -3*l + y, -2*y - f - 77 = -l. Calculate the greatest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jjzvc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28035 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 8*a - 5. Calculate l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00033799 to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137, 542, 1225, 2192, 3449, 5002, 6857?\nAnswer: 9020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -272275, -30\/281, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 3*g + 7 - 1, 3*l = -4*g + 5. Suppose 16 = p - l*k, 5*k + 0 = -5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from httthtttttt. Give prob of picking 3 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (4 - (-603)\/75))*75\/(-20).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 2 + 1)\/(-2). Suppose s*u - 30 = 5*u. Let v = 8 + u. Put 3, v, 1 in ascending order.\nAnswer: 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -1. Let j = 638 + -644. Let m be (-5 + 96\/18)\/(-1)*j. Let k(w) = w - 2. Determine m*k(t) - 7*r(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -613 + 610. Sort 8, p, -2 in increasing order.\nAnswer: p, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244847*t + t**3 - 244854*t + 3*t**3.\nAnswer: 4*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/502349 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -86 (base 13) to base 9.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2376872033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9, i: 7}. Give prob of sequence it.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4568 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.345 to one decimal place.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 0 + 0*g**2 - g + 1\/6*g**3. Let x(v) = -v - 1. Let k(h) = -8*h - 6. Let l(p) = -k(p) + 6*x(p). Calculate l(m(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/8))\/y*y**(-2\/39)*(y*y**(3\/11)\/y)\/y*(y\/(y*y\/y**(-2\/37)))\/y*y*y)**(-27) assuming y is positive.\nAnswer: y**(1094409\/42328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1917\/(-284))\/((-6)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 980260 and 8?\nAnswer: 1960520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 25*i - 146. Let d be g(-30). Find the common denominator of d\/(-14) + (2925\/560 - 5) and -79\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(210)\/sqrt(6) - sqrt(210)\/sqrt(54))\/(sqrt(20)*-3 - -2*sqrt(180)).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 0*i + 3. Differentiate -7 - 5*g**i + 11 - g**3 wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 4*i + 2. Let o(w) = 11*w + 9. Let y(n) = -n**2 + 23*n + 20. Let z(g) = -5*o(g) + 2*y(g). Give -7*q(p) - 3*z(p).\nAnswer: -p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5721120 and 69048?\nAnswer: 40047840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -0.1  (c) 0.5  (d) 6\/11  (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 39*r**2 - 320*r - 70. Let w be d(50). What is w rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - h - 2. Let y be j(3). Let k = 9 + -5. Suppose b = -k*w + 9, w = -5*b - 8 - y. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5750562265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 111000101110111?\nAnswer: 111000101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -2. Suppose t - 4 = -w. Suppose -t*s - 2*s = 20. Are -5 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82930.\nAnswer: 2, 5, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 371 - 376. Which is the nearest to -8?  (a) 2  (b) 1\/4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 7*l + 92 = 0. Suppose 0 = i + 2*i + 558. Let x = l - i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53 (base 11) to base 4\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51896696 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/163 and -19\/73.\nAnswer: 11899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13 + -294?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 474 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -525 - 62140135?\nAnswer: -62140663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3111 - 3109. Solve 3*j = 4*p + 25, 7*j - p + q = 9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -1448*f**4\/21 + 21502*f**3\/21 + 1102*f**2\/7 - 180*f\/7 = 0.\nAnswer: -1\/4, 0, 18\/181, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (0 - (-3 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0, -0.1, -1\/22, 0.05, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/422465 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 4396413.\nAnswer: 4396413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -g**6\/3 + 31*g**4\/12 + 36*g. Find the third derivative of z(m) wrt m.\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 270046633*w**2 - 1162331649 with respect to w.\nAnswer: 540093266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5369 + 9880. Suppose -4*q - 1283 = -y. Suppose 293 = -4*v + 3*s + q, -s - 637 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-20)*(-2)\/(-36))\/(6\/8)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45.58325g to nanograms.\nAnswer: 45583250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 909*n - 93603. Calculate a(103).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 140389 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 8*q + 7. Let t(j) = j**2 - 9*j - 8. Let f = 59 + -53. Give f*t(i) + 7*n(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 4*k**2 - 18*k. Give s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 15 + 9)*(5*m - 3*m - m + 23) in the form a + z*m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + 3. Let c be 0 - 3\/r*0. Suppose 2*s - 9*s + 28 = c. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 552 and 26592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 4223.\nAnswer: -3\/4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 6:59 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 + 1 - 1.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 196 + -150. Suppose j - 7 = f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5830 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1345 (base 8) in base 5?\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-44))**12*(y**(1\/3))**(-21)\/(y**(-1))**(-48) assuming y is positive.\nAnswer: y**473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 276.4206 millennia?\nAnswer: 276420.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -3\/2, -108, -27, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29.008 + 0.008. Do k and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 25 = -7*k. Let m = k - 1. Let b be 7 + 2 - 198\/66. Solve -5*y - b = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -6*d - 44, -18*d - 1227*z = -1223*z + 92 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33275049 + -0.73582.\nAnswer: 33275048.26418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 3738.999 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -70 + 70.0053. Round v to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/7 - 31274*s\/7.\nAnswer: -2*s*(s + 15637)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 131581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*3791.\nAnswer: 1137.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 30\/405 - (-73)\/108. Let y = 2.7 - 3. Let h(l) = -l**2 + 4*l + 3. Let v be h(4). Which is the biggest value?  (a) y  (b) 2  (c) i  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of 5*p**6\/144 + 7*p**5\/40 - 5*p**4\/8 + 28*p**2. Let u(x) be the second derivative of i(x). Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g - 1 + 1)*(451 - 10*g**3 - 451 + 2*g**2) + 5*g**4 + 0*g**4 + g**4 to f*g + s*g**3 + a + b*g**2 + j*g**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + -31. Suppose -y = -k + 2. What is the third derivative of -11*a**2 - 12*a**6 + k*a - 5*a - a**2 wrt a?\nAnswer: -1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (-1 - -2)*(-6)\/2. Solve -20 + 5 = -s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 37, 59, 91, 139, 209, 307?\n\"Answer: v**3 - v**2 + 18*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - -6*2*(-4)\/24. Let m be ((w - 2) + -2)*(-9)\/(-48). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(77)*-1 + sqrt(77))*1 - sqrt(77) - sqrt(77)) + sqrt(77))*-6)\/((sqrt(110) + (2*sqrt(110)*-5 - sqrt(110) - sqrt(110)))\/sqrt(10)).\nAnswer: -6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*j + 1861, 3*g + j - 6*j = 1392. Suppose -110402 = 22*h - 113350. What is the highest common divisor of h and g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5016297 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4913544 and 816.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.1004 + -0.3196. Round c to one decimal place.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/16, 36, -3, 5, 1\/8.\nAnswer: -3, 1\/8, 3\/16, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 115 = -103 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 8*y + 13. Let i be s(-9). Let j(l) = 6*l - 20. Let n(z) = 2 - 3*z + 5*z - 9. Let b(f) = -4*j(f) + 11*n(f). Give b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 282*a**2 + 486*a**2 + 264*a**2 - 165*a**2.\nAnswer: 867*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**8\/k)**(-33))**(-38))**(-25) assuming k is positive.\nAnswer: k**(-219450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59 - -48. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.4 + -328.6. Let p = 602 + y. Let l = p - 262.999171. Round l to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/34 - (11 + 4130\/(-595)). Suppose 0 = -r - c + 7 + 12, 4*r - c = 81. Sort r, g, 0.3, -2\/3 in increasing order.\nAnswer: g, -2\/3, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12577, -11955, -11391, -10879, -10413?\n\"Answer: x**3 - 35*x**2 + 720*x - 13263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -78 - -88. Suppose -3 = r + 9. Let h be (-489)\/r - (-3)\/(-4). Calculate the greatest common factor of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = j, 3 = -f + 2*j - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**5\/7 + 12*p**4\/7 - 32*p**3\/7 + 4*p**2\/7 + 30*p\/7 - 16\/7.\nAnswer: 2*(p - 1)**3*(p + 1)*(p + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/10)\/((-2)\/(-4)) + (-5094948)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(33) + 2*(sqrt(33) - sqrt(132)))\/(2*sqrt(396) + sqrt(11)).\nAnswer: -2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 3*z - 417, -3*i - 825 = i + 3*z. Let f = 394 + i. What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5513764133 plus -2?\nAnswer: 5513764131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 535541*v - 535541*v + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - c + 7. Let h(v) = -12*v**3. Calculate the remainder when h(-1) is divided by m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -214998 divided by 5119.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2*j = -12, -20*i + 6*j + 20 = -22*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/9)\/((-8)\/3 + 1). Sort -6, -2\/15, a in ascending order.\nAnswer: -6, a, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 9:55 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from {w: 4, v: 5, q: 6, k: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 3*m**3 + 2*m**2 + 2*m. Let n(h) = h. Determine 2*n(l) - s(l).\nAnswer: -3*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 39 = 2*v + 55, z - 67 = 5*v. Sort 4, -20, v, 0 in decreasing order.\nAnswer: 4, 0, v, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -8*c**3 + 5*c**2 - 6*c - 6. Let z(y) = 18 - 14*y**2 + 17*y - 68*y**3 - 1 + 91*y**3. Determine -17*i(o) - 6*z(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-9))\/(0 + 2). Let b(o) = -o**3 + 7*o**2 - 7*o + 6. Let z be b(6). What is the nearest to c in 2\/9, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22338 + 83669. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3 + 16 = -4*w, -2*w + 3*p - 9 = 0. Let k be (w - -2)*1*72. Let u = k + 123. What is the remainder when u is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 282149319 and 47010?\nAnswer: 4701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*g - 2*g**2 + 14*g + 2*g**3 + (2*g**2 + 0*g + 0*g)*(5*g - g + 3*g) in the form q + c*g**2 + d*g + b*g**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 61835?  (a) 1  (b) -5  (c) -0.08  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 - 39. Sort 9, y, 3.\nAnswer: 3, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/19 - 8015928*t\/19 + 8031887712648\/19.\nAnswer: 2*(t - 2003982)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 19*t - 884. Let v be a(-47). Solve -5*m + v = 432 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 15 = -2*o. Let l(q) = q**3 - q**2 + o*q + 29 - 8*q. Is 19 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532277444 divided by 11325052?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2120.463 minutes to seconds.\nAnswer: 127227.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006578 to 5 decimal places.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (88\/(-20))\/(1\/(-25)). Suppose 3*m = -23 + d. Let n = m + -17. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-7728)\/210)\/46 + 6242\/7565 and 61\/102?\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3705045.\nAnswer: 3, 5, 139, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**4 - 88*b**3 - 240*b**2 - 232*b - 76 = 0. Calculate b.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**5 + 90*q**4 + 2596*q**3 + 26136*q**2 + 42592*q.\nAnswer: q*(q + 2)*(q + 22)**2*(q + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -475, -803, -1351, -2119, -3107, -4315?\n\"Answer: -110*u**2 + 2*u - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**5\/60 + 7*k**4\/24 - k**3\/6 + 93*k**2. Calculate o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47492, -94969, -142420, -189833, -237196, -284497?\nAnswer: -331724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1175 and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3936\/(-27)*(28\/(-329))\/(-4). Let p = c + 10\/47. What is the common denominator of -99\/8 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 21*s. Let w(y) = -y**3 - 12*y**2 - y - 11. Let d be w(-12). What are the prime factors of p(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104663194 a multiple of 3282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 7  (b) -16\/3  (c) -2\/1311  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and -22.7.\nAnswer: 431.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -m**2\/2 - 8*m + 4. Suppose -v + 32 = -5*r, 0 = 3*r - 10*v + 13*v + 12. What is k(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -606, -487, -336, -147, 86, 369, 708, 1109?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 0.09\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ueyuyeeueueyouuuuu. Give prob of sequence euue.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -218*b - 1174 wrt b.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 5*w - 70. Suppose w*z - 9 = 5. Is (-471)\/z*(-28)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1230 and 206089.\nAnswer: 253489470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {c: 10, t: 5, s: 4}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -407\/20 + 83\/4. What is the nearest to -0.24 in r, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-15)*w**(-17)*w)\/(w**(2\/77)*w*(((w\/(w**(-2\/107)*w))\/w*w)\/w)\/w))**(-20) assuming w is positive.\nAnswer: w**(4950760\/8239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1138 is divided by 1135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5907*t - 5846*t - 1647 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(22)\/sqrt(2) + 1 - sqrt(11)) + sqrt(11) + sqrt(99)\/(sqrt(9)*3))*-2)**2.\nAnswer: 32*sqrt(11)\/3 + 740\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 + 4*w - 3. Let l be ((-156)\/24 - -7) + (-518)\/4. Let c = l + 150. What is the remainder when c is divided by x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -7c7b?\nAnswer: -7c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, q: 1}. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 times -777\nAnswer: 2097.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/4 + (-50)\/(-8). Let t = 2 - k. What is the smallest value in -0.2, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-149)\/(-596))\/((-5)\/((-1900)\/(-5))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23313364 is divided by 11656679.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (2 + 6 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 1 + 3*m + 2 + 173*m**3 + 152*m**3. Let a be j(-3). Let d = -157993\/18 - a. What is the common denominator of 109\/22 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-3)*((-61)\/(-10) + -7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -7*s - 21. Let j(v) = -v**2 - 3*v - 3. Determine j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 + 2*i**4 - i**4 + (i + 0*i + i)*(-6*i**3 + 0*i**3 + 2*i**3).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-257*w + 7299*w**3 - 14529*w**3 + 7256*w**3)*(-w**2 + w**2 - 2*w**2) + 2*w**4 + 0*w**3 - 2*w**5 - 2*w**3 - 3*w**4.\nAnswer: -54*w**5 - w**4 + 512*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6462922 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -136, -141, -146, -151?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 468382 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 u = 35\/6 + -257\/42. Let t = -5.6 + 0.6. Which is the closest to 0.1?  (a) u  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2718 - 2698. Calculate the highest common factor of 3110 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**3 + 193686*p**2 - 4688992782*p - 14068721574 = 0. What is p?\nAnswer: -3, 48423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22896907?\nAnswer: 11, 2081537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 5*o + 12, -2*o + 25*m - 6 = 26*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i. Let n(w) = -45*w - 85. Determine n(d(c)).\nAnswer: -45*c - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -48.80036 rounded to one decimal place?\nAnswer: -48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122 + 33*u + 122 - 34*u + 44*u**3 + u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 3, 4 in increasing order.\nAnswer: -25, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 724\/(-11) - (3 + 31\/(-11)). Is 53 a factor of (-18)\/99 + (-77034)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -33*c**2. Let v(n) = 1007*n**2. Let f(g) = 152*k(g) + 5*v(g). Let z(a) = -2*a**2. Give f(z(i)).\nAnswer: 76*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 3*x - 18012 = -9*u, -3*u - 5*x = -18020. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 12096?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -331 = -15*p + 2714. What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -129*z**4 - 2*z**3 - 232*z wrt z.\nAnswer: -1548*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6345, 12966, 19587?\nAnswer: 26208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -60*y**2 + y - 1. Let s be o(1). Let h be s\/80*(2 + 14\/(-3)). Solve -h = 3*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -27*o**3 - 5*o + 1. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9257 and -4.\nAnswer: -9261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30) + sqrt(1080))\/sqrt(10) + 3 + sqrt(18)\/sqrt(6))**2.\nAnswer: 48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 38\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 228 - 75. Let k = n + -768\/5. Suppose 5*m + 5 = -5. Are k and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -320004 - -182524. Round h to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2022 - -13320031?\nAnswer: 13322113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/632210 and 61\/570?\nAnswer: 36035970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-2 + 2 + -5 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 13*v - 11. Let c be b(14). Solve 0 = -c*j + 12, 0*x - 8 = 4*x + 2*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-6))\/(6\/(-18)). Suppose 0 = -2*d + z + 3. Find the third derivative of 3*n**2 - 3*n**2 - d*n**2 + n**3 - 2*n**3 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 3. Let h be 2\/4*(m - -11). Let w = 42.7 + -43. Which is the nearest to -2\/3?  (a) h  (b) w  (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -14, -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2184 divided by 6?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -63?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48907167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 22*i**2 + 68*i - 35. What is f(-18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -87\/1274?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**4)*k*k**(-1\/5)*k*(k*k*k**1)**(24\/11))**(-2\/145) assuming k is positive.\nAnswer: k**(-1358\/7975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22785 - 68353\/3. Let q be ((-6)\/(-9))\/(13\/3). Sort 0, q, 0.5, i in ascending order.\nAnswer: 0, q, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 203*c**3 + c + 427*c**3 - 35 + c**2 + 35 in the form y*c**2 + o*c**3 + k + b*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 11*g. Let d(x) = -x - 1405. Determine d(t(l)).\nAnswer: -11*l - 1405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of u**4\/24 + u**3\/2 - 16*u**2. Let g be l(0). Suppose g*o + 15 = 0, -4*w + 29 = -0*o - o. Solve -3*v = w + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107516791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9734 is divided by 940.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*z + 4*m, 5*z + 2*m + 16 = -2*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/9)\/(-10*7\/(-2520)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*f = -3084209 + 3081777 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, x: 1, y: 1, h: 3}. What is prob of picking 1 y, 2 e, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) - sqrt(4)*-1) + (sqrt(7) - sqrt(1260)\/sqrt(5)))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-64)\/200)\/(4\/(-5))*35*2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 49 + -40 - (1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -163 by 5.\nAnswer: -163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/1841 + 224\/1315. Suppose -11*u = 6 - 17. Is f <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 22*n**2 - n - 2. Let d be h(-1). Let v = 28 - d. Solve -5 = -i + 3*k - v*k, 0 = -5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, b: 4, u: 2, q: 3, y: 3, z: 2}. Give prob of sequence ruyz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96870 and 28350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1871341081*o**4\/3 + 6237861282*o**3 - 576788*o**2 + 40*o\/3.\nAnswer: -o*(o - 10)*(43259*o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from qufxxiiiqqfuf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-36)\/(-90))\/(8\/(-10)). Which is the closest to -0.1?  (a) 0.1  (b) g  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.05 - -1.95. What is the closest to 1 in q, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*l**2 + l**2 + l**2)*(-1 - 7 + 2) - l**2 + 2 - 2 + (1 - 1 + l)*(0 + 0 - 2*l) - 4*l**2 - 2*l**2 + 4*l**2 in the form b*l**2 + w*l + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21893*d**2*l**2 + 26*d**2*l - 16420506*d*l**2 wrt d.\nAnswer: 43786*l**2 + 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 96 - 0. Calculate the lowest common multiple of w and 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0113 and 2062473.\nAnswer: 2062473.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 908?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 3*p - 156, 387 = 4*j + 3*p + 111. Let x = j - 39. Suppose -5*f = -177 - x. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + -0.1. Let j = -20 + 18. What is the closest to j in h, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*o + 4*o - 3*o)*(4 - 3 - 3) + (0*o + 4*o - 2*o)*(-9 + 7 + 7) + 0*o - o - 2*o)*(-3 - 2 + 2).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12357 - 22120. Let j = w - -9763.006871. Round j to four dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 532365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 6 = 4*k + 6, 4*k + 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.04 - 0.04. Let t = 1.175 + -0.285. Let m = -0.39 + t. What is the closest to -0.2 in -1, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25616.776 to the nearest ten.\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -164951, -316885, -468817, -620747, -772675, -924601?\n\"Answer: m**2 - 151937*m - 13015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 471, 468, 465, 462?\n\"Answer: -3*t + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -355 (base 14) to base 13\nAnswer: -3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 58006.386 take away 0.0844?\nAnswer: 58006.3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/59 - -47\/177. Suppose 11 = -4*y + 3, -2*r - 2*y = 0. Sort r, 1\/4, s in decreasing order.\nAnswer: r, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(99) - -4*sqrt(99)) + sqrt(99))*-2 - sqrt(99))**2 + (sqrt(891)*-1 + 0)**2.\nAnswer: 17622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p**2 - 43*p - 23. Determine u(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 1 - 1)*(13016 - 35600 + 33691 + 60951).\nAnswer: -72058*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 1 + 0 = -5*t, -16 = -4*i + 4*t. Sort 5, -5, -2\/3, i in decreasing order.\nAnswer: 5, i, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rmee when four letters picked without replacement from {l: 1, v: 10, r: 1, e: 4, m: 4}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 307 - 136. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/3 - 2641*v\/3 + 26970.\nAnswer: (v - 2610)*(v - 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -240  (b) -1  (c) 2\/9  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 - 58*i - 830. What is j(-28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3*g + 0 = 9, 3*l = -4*g + 12. Suppose s - 5 = -3*i - 2, -s - 5*i + 7 = l. Let n be (-2)\/6 - (-2)\/s. Is n <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(-2 - (-2)\/2). Let q be k\/((-6)\/4*1). Solve q*p - 5 = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 473943.\nAnswer: 3, 17, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 9*y**6\/5 - 7*y**4\/12 + 836*y**3 + 3905*y. Find the second derivative of u(h) wrt h.\nAnswer: 648*h**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2\/5  (b) 10.3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 8 + 16. Let y be (-2)\/x - (-1)\/(-12). What is the nearest to -0.1 in -0.5, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 3*h = -6*h - 12, 1 = -c - 2*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -6. Suppose t - 2*k = 0, -x*t - k + 5 = -t. What is the third derivative of 6*g**4 - g**t - 8*g**4 + 3*g**4 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 14\/55087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 798 a factor of 2872194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-4 + -15 - -16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 - 2105?\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w - 29. Let j(t) = 1. Determine a(u) - 4*j(u).\nAnswer: -u - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(-1)\/(2 + -1). Let n(s) be the first derivative of 7*s**2\/2 + s - 1. Determine n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/27 + (-4)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -6640b?\nAnswer: 66406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 3*j = -d + 10, 9*d + 40 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -186 - -261. Suppose 2*w = -3*w + d. Solve 0 = -11*b + w*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/2  (b) -3\/2  (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(147)*-2 - sqrt(147))*-5*3)**2 + -2)*-3.\nAnswer: -893025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -552484, -1104976, -1657468?\n\"Answer: -552492*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 7 + 3 - 3 - 3*y to u + k*y and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/5 - 1063*f\/5 - 1062\/5.\nAnswer: -(f + 1)*(f + 1062)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 18885841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 354453487994.\nAnswer: 354453487995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/11 and 5\/229242.\nAnswer: 2521662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = -12*l + 195. Solve 3*q = -3*j + 15, 3*j + l*q - 15 = 4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1, 3\/7, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3184*h**3 - 3190*h**3 + 6388*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 9810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11\/(-9) + (-4)\/(-18). Let z be -2*(0 - d)\/2. Suppose -2*a - 5 = 5*y, 2*a - 5*y = 28 - 3. What is the biggest value in -3, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/33 and -5\/227922?\nAnswer: 2507142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33505?\nAnswer: 5, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*d**3\/7 + 4380*d**2\/7 - 24039*d + 3780 = 0. Calculate d.\nAnswer: -105, 3\/19, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111132 - -11?\nAnswer: -111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 137719389431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-183)\/((-263520)\/(-64))*((-5)\/(-8))\/1?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in -5, 116, 3, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5)*i**(3\/2))\/((i**(1\/2)*i)\/(i**(-3\/5)\/i)) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*t - 33*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011010001000001011 (base 2) to base 14.\nAnswer: 19385d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 8:57 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.047, -3\/8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 17*h - 30. Calculate m(11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*k - 273 - 695. What is the greatest common divisor of 1705 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17678750.8 to the nearest 10000.\nAnswer: -17680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10737 is divided by 3504?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-18)\/t**(-1\/31) assuming t is positive.\nAnswer: t**(-557\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14897566 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2818133 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 193, 222, 251, 280?\n\"Answer: 29*z + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 10 = -5*u, 0 = -5*l - 3*u + 11 - 5. Let h be (l - -13) + 1 + 0. Suppose 0 = -3*v - 3*c, 0 = -5*v - 3*c - 4 + h. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of 3*g**7\/70 - g**4\/12 + 9*g**2. What is the second derivative of v(d) wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -463*z - 32871. Determine b(-71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**4 + 5*x**2 - 13*x - 5. Let q(w) = -2*w**4 - 16*w**2 + 40*w + 16. Let c(j) = 16*g(j) + 5*q(j). Find the second derivative of c(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2434013 (base 5) to base 16.\nAnswer: b435","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 - 4*v - 2. Let u = -154 - -153. Determine a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2\/q*(q\/q**2)\/q)\/(q\/q**(1\/2)*q**(2\/5)) assuming q is positive.\nAnswer: q**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-1) - 7*-1. Let b be (-1 - 4)*(-32)\/10. Suppose -5*k + b = -h*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/(-20))\/(4\/(-40)). Let l(j) = j**3 - 5*j**2 - 8*j + 3. Calculate l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69598057 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13\/36 - -7\/12. What is the second smallest value in -2, k, 3, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185 + 185 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4579 - 4578.9. Let s = -14 + 13.6. Which is the biggest value?  (a) o  (b) -90  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4823 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2)*1*(-6669)\/(-702).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*y - 15*y - 20 = 0. Suppose y*n - 246 = 4*s, -3*s = -3*n + s + 379. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 0*l + 0*l)*(2 - 4 + 0) - l**2 + 0*l**2 + 3*l**2 + (4*l**2 - 2*l**2 + 0*l**2)*(1 + 5 + 2).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*s**4 - 649706*s**3 - 3*s - 2714511 wrt s?\nAnswer: -144*s**2 - 3898236*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6.838405 hours?\nAnswer: 24618.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.1 + 1. Let r = 1 + -0.88. Let o = -0.22 + r. What is the nearest to f in -4, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 - i + 2. Give o(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-140)\/(-44) - (-8)\/(-44). Suppose -q*c - 205 = 2*c. Let s = 84 + c. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 11*x**2 - x - 3. Let h be l(8). Let t be (-4)\/(h\/(-400) + 3). Let s be (130795\/60 - 16\/(-12))*t. What is s rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - 4*b**2 + 3*b**2)*(b + 4 - 4) + (0*b + b**2 + 0*b)*(-b + 0*b + 0*b) + (2 - 5 + 1)*(b - b**3 - b) + 13 + 9323*b**3 - 18640*b**3 + 9292*b**3.\nAnswer: -26*b**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1235*g - 170 = 1269*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - -7)*7\/((-308)\/(-55)). Solve d + 4*d = -q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -8)*2*(-4)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-896)\/(-168))\/(4\/1194)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**5 - 13*l**4 + 4*l**3 + 622*l**2 + 2?\nAnswer: -120*l**2 - 312*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 332.6842 and -0.113.\nAnswer: 332.5712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*z - 22*z + 2 + 11)*(4 + 0 - 1).\nAnswer: -6*z + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 244564, 489127, 733690?\nAnswer: 978253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 divided by -9?\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -v**4\/20 + 3*v**3\/5 - 3*v**2\/2 - 15*v + 13. Let y(i) be the first derivative of n(i). Find t, given that y(t) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2528 and 999508.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -68 + 70. Solve -y*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2045 is divided by 147.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 32619.\nAnswer: 16309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 126, -3\/8, 3\/37, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-19 - -2) - (25 + 19 - 39)) + 71.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 7*j**2 + 7*j + 14. Let b be m(8). Let i be (b\/(-2) + -4 + 5)\/(-1). Sort i, 5, -10 in ascending order.\nAnswer: -10, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 295.2314 + 107.7917.\nAnswer: 403.0231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 - 410*x**3 - 15*x**2 + 1220*x + 820.\nAnswer: 5*(x - 82)*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -20\/3, -3294, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1450981 and 1827.\nAnswer: 378706041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 1 = 5 + 11, -34 = 5*d + 3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6189468*u**2 - 7192980 wrt u.\nAnswer: 12378936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.04622 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 662651 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 3. Let i(r) = -7*r + 250. Let v be i(35). Suppose -9*s + 24 = 2*x - 5*s, -v*x = 4*s - 30. Sort x, a, 5 in descending order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 412720*n**3 - 207*n**2 + 1757?\nAnswer: 2476320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 610*v**3 - 1217*v**3 + 592*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hkk when three letters picked without replacement from {h: 6, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*l + 0*l - 6*l)*(-3*l + l + l - l**3).\nAnswer: 15*l**4 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.3  (b) 36  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 14*f**2 - 18*f - 40. Let o be j(-15). What is the nearest to -1 in 0.4, -2\/23, o, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 311*z**4\/4 - 758*z**3\/3 + 11*z**2 - 79*z. Find the first derivative of l(m) wrt m.\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence osa when three letters picked without replacement from siaoai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 63961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of -284*n**7\/21 - 107*n**3\/6 + 37*n**2\/2 - 4736*n. What is the second derivative of t(u) wrt u?\nAnswer: -11360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + 23*x + 46. What is v(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/2652, -5, 795?\nAnswer: 5\/2652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-81 - -40) + (1 - -40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -468389 - 1893579 = -56*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s + 3. Let p be 8\/(-20) + 2379\/(-15). Let b be 2\/(-8) - p\/12. Let d(o) = -6 + 2 + 7 + b*o + 7. What is 2*d(l) - 7*t(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 - (-120)\/(-18))*-567. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 247, -2, -3.\nAnswer: -3, -2, 21, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 219 = 3*p. Let u = -139 + p. Calculate the common denominator of 69\/16 and u\/(-144) + (-3)\/4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7482, 14976, 22470, 29964, 37458, 44952?\n\"Answer: 7494*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (6 - (1 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -3*b + 4*x + 4, 4*b - x - 7 = 0. Let n be (-1)\/(-5)*b*5. Solve -r + 4 = 4*r + n*a, -5*r - 2*a + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 98 - 94. Calculate the remainder when (30\/18)\/((-10)\/(-24)) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1283087859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -11880365*n + 1020. Let g be f(-52). Round g to the nearest one million.\nAnswer: 618000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 222*d - 8216. Let w be p(37). Let u(i) = -i**2 - 5*i + 21. Suppose 0*l - 18 = -2*l. Let m(c) = -c + 5. Give l*m(z) + w*u(z).\nAnswer: 2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 581*y - 83659. Calculate m(144).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s + 1. Let c(l) = -8*l - 15. Let j(z) = 2*c(z) + 14*p(z). Let g be j(-10). Solve -12 = -g*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/7, -2\/3, -0.1313322?\nAnswer: -0.1313322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90010 = -4*o - 3*s, -98747 + 31232 = -3*o - s. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7*c**2 + c. Let t(g) = -6720*g. What is v(t(b))?\nAnswer: 316108800*b**2 - 6720*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3260006 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**3\/9 + 1790*q**2\/9 = 0. Calculate q.\nAnswer: 0, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 24. Suppose -5*g - p = -2*q, 0 = -4*q - 3*g - 25 + 97. Is 2\/5 + 279\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 212 and 36252?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -6. Let p = -2 - -2. Let l be p + 1\/(-1) + 0. Is z greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of 29\/6*k**6 - 3*k**2 + 2*k + 0*k**3 + 0*k**4 + 0*k**5 + 281. What is the second derivative of w(u) wrt u?\nAnswer: 580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1737915.9s to minutes.\nAnswer: 28965.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1886 - -2173. What is the remainder when z is divided by 112?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137348297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 171?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wvw when three letters picked without replacement from {v: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 124*i - 36. What is the tens digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*t**3 + 1 - 88*t - 3*t**3 + 13*t**3 - 40*t**3 in the form p*t**3 + v*t + z*t**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 6*g + 3727. Determine x(60).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 976 and 4148?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 11 + (-15 - -10) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 12:20 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 39*u**2 - 146*u - 25. Calculate r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and 0.033?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3 + (3*1*((sqrt(153) - sqrt(153)*1) + sqrt(153) - sqrt(153)))\/(3*(sqrt(441) + -2*sqrt(441) + sqrt(441)) - sqrt(441) - sqrt(441))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 135854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 127064420 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52657 - 42620. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-11)\/(-2) - 3)*250. Suppose -s - 219 = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 - 43.899. Let s = l + -0.201. Is s bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -176*q + 164*q + 300. Solve -q = -27*h + 29 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*a**2 - 3*a**2 - 11*a**2 + 2*a**2 to the form t*a + f + s*a**2 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-140) - 51\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 6*v - 6. Let z be q(4). Does 5 divide ((-21 + 1)\/z)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2014 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -15.17328654\nAnswer: 13.17328654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11208 - 10974. What is the remainder when 436 is divided by v?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1274078 - -867678. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 85\/3 or 27?\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 2, 0.1, 208, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/28 - (-513)\/12. Let b = -40 + n. Is 0 - (-375)\/(15\/b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + l + 4 = 3, -2*i = l + 1. Let u(n) = -n**3 + n + 4. Let r be u(i). Solve 3*c + r = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 3. Suppose 3*q + v + 18 = 0. Let b(l) be the first derivative of l**4\/4 + 7*l**3\/3 + 4*l**2 + 4*l - 698. Give b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -407 + 162. Put -2, r, 4\/3, -0.3 in decreasing order.\nAnswer: 4\/3, -0.3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1763072678.\nAnswer: 2, 151, 5837989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.07 - -498.93. Let i = 499 - g. Sort 2, -40, i.\nAnswer: -40, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -134 - -141. Solve -8 - z = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/39)\/(-9 - (-1775)\/195)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291 = 5*s - 2*s. What is the remainder when s is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 55, 86, 99, 88, 47, -30, -149?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-15))\/(((4250\/40)\/85)\/(20\/(-96))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196170179 is divided by 14012155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 19*i**3 - 4*i**2 - 6*i - 6. Let d be r(-3). Let m = 537 + d. Solve 2*n = 2*b - 1 - 1, -n - b - 9 = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186984 divided by -1484?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3310 - 200?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 823571328?\nAnswer: 823571330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 31 = 84. Let o = s + -5. Calculate the least common multiple of (((-8)\/6)\/2)\/(14\/(-294)) and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1288549497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 9:56 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -532 divided by 2\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 31*u**2 - 241*u - 11. Let p be j(-15). Solve -2*a - 3*l + p = 0, 3*a = -3*l + 5 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26269.815 rounded to the nearest 100?\nAnswer: -26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 213?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -90194317?\nAnswer: -90194317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 1\/11, -0.4, 1.6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 15*t + 4. Does 9 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(1008) + sqrt(1008) + 1 + sqrt(1008) + -2)*6)**2 + 4.\nAnswer: 5184*sqrt(7) + 326740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 44801*g**2 - 1299235*g + 185. Determine w(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11296287 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 268065\/(-1050) + -1 + (-1)\/(-2). Do -255 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from {g: 1, c: 7, e: 3, z: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 5*v - 3. Suppose -l = -22 + 16. Let p(n) = -n**2 + 5*n + 9. Let w be p(l). What is q(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/2, 2\/5, 12, 31.4, -28, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 16, 139\/2, 0.01?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 d, and 2 a when four letters picked without replacement from {x: 2, n: 1, i: 1, d: 1, v: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1054313 + -2?\nAnswer: 1054311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s - 5. Suppose -5*d + 78 = 2*w - 162, -2*w = -10. Let b(a) = -23 - 24 + d. What is -3*b(g) + m(g)?\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221 + 211 = -5*f. Let j(h) = 1301*h + 2*h**2 - 1306*h + h**2 - f. What is j(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9466415287079 - 0.4?\nAnswer: 9466415287078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 4158?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 19*v**2. Let r(g) = 35*g**2. Give q(r(y)).\nAnswer: 23275*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5985 = -8*o + 583. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/((-3)\/((-84)\/98)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 - 19 = 5*r. Suppose 3*v + 0*f - 21 = -4*f, v + 3*f - r = 0. Let d(h) be the first derivative of h**4\/4 - h**3 + h**2 + 2*h - 47. Give d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 876 - 881. Sort 0.3, a, -101 in ascending order.\nAnswer: -101, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13947168 minus 0.3?\nAnswer: -13947168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -103 + (111 - 29 - (-18 - -57)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16321911817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440) + (sqrt(440) - -3*sqrt(440)*4))\/sqrt(8)*-4)\/(-6*(2*sqrt(1331) - sqrt(1331)) + sqrt(1331) + sqrt(1331) + 3*1*sqrt(1331)).\nAnswer: 56*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 428.4596 years to decades.\nAnswer: 42.84596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 2*b - 6. Let k(n) be the third derivative of 2\/3*n**3 + 0*n - 1\/12*n**4 - 3*n**2 + 0. What is k(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 2*k**2 - 18*k + 11. Let h be f(5). What is the closest to -159 in 1\/4, -1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -0*j + 2. Suppose -50 = -3*s - j. Solve 0*q = -z - 4*q + s, 0 = -z + 3*q - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 56 and -76 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1 = -3*k - 16, -k - 3*c - 5 = 0. Let l(y) = -y**2 + 3*y - 3. Let r(m) = -m**2 + 5*m - 5. Let z(b) = k*l(b) + 3*r(b). Let v(u) = 2*u. Give z(v(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yymmymmmmy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 3*l - 31, -5*b = -4*l + 2*l - 10. Suppose -w + 1 = b*r - 8, 0 = -4*w + 5*r + 15. Solve q - w = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 912 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36344 (base 8) to base 14.\nAnswer: -5976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, t: 1, u: 1, g: 5, l: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19639342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**2 - 1. Let y be a(2). Suppose 3 = -4*g + y. Suppose 3*x + 5*o = -39, g*o = x - 3*o - 7. Is x less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179971527 to the power of 1\/2, to the nearest integer?\nAnswer: 34351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*y**5 - 30*y**4 - 69*y**3 - 42*y**2 = 0. Calculate y.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w*w**(-5)*w))\/w)\/w**(-3)*(w*w*((w\/w**(3\/7))\/w)\/w)\/w**(-2\/13) assuming w is positive.\nAnswer: w**(703\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/2 and 2 + (-1 - (15\/(-12) + (-481)\/(-60)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -45, -117, -239, -423, -681?\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 8*d - 8 = 2*c, -6 = -d + 120*c - 117*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pbnnpnpnnnp. Give prob of picking 1 b and 1 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**3\/15 - 21898*s**2\/15 - 931624*s\/3 - 1545408\/5 = 0. Calculate s.\nAnswer: -10732, -216, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d - 13300*d**2 + 13295*d**2 + 0*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.019 in 0, -1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005118712 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 45. Let j be z(0). Let y be (1 - (-1 - -1))*27. Let t = j - y. Solve -4*w - 3*i + 14 + 7 = 0, -4*w - 2*i = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3586, 28579, 96424, 228547, 446374, 771331?\nAnswer: 1224844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) -0.9  (c) 2\/15  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -4*z + 3 - 2*z**2 - 2*z**2 + 0*z**2 + z. Let k be v(-5). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3789*q**2 - 2672 with respect to q.\nAnswer: 7578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n, 2*t + 8 - 24 = -3*n. Suppose t - 2 = 2*m, -g = 2*m. Let j be (g\/(-4))\/((-2)\/(-4)). Solve -j*z + 2*z + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-86 + 2 - 45).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g = 13*g - 6*g. Solve 3*t + 3 = -g, 3*o + 5*t + 5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77 - 74. Find q such that 8\/11 + 10\/11*q**2 - 16\/11*q - 2\/11*q**t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*w + 37*w - 3*t - 528 = 0, -2*t = -3*w + 397. Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i - i - i + (3 + 2 - 3)*(i + 2 - 2) + 2*i - 2*i + 2*i + 8*i + 76*i - 6*i + (0 - 3 + 0)*(5*i + 2*i + 0*i).\nAnswer: 59*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13282 is divided by 347?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) 10  (c) -1  (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33894 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51575, 51570, 51567, 51566, 51567, 51570?\nAnswer: 51575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 4:48 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**3 + m - 3. Let q(t) = 5*t**3 + t**2 - 3*t + 8. Let b(s) = -3*q(s) - 8*z(s). What is the lowest common multiple of 9 and b(5)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 10) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.2 in 0.5, 5, -2\/9, -3\/4, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.01 + 5.01. Let p = -4677\/25 - -187. What is the closest to 0.2 in -4, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 2*i + 3*i)*(-17 + 1 + 7) + (-2 - 1 + 2)*(-i + 0*i + 3*i) - 4*i + 5*i - 3*i + 2*i - 4*i + 0*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 54*q - 56*q - 21 = 0, 0 = -4*m - 5*q + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.69, -0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 4940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 66 + 57 + 44*c**2 + 56 - 216.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/277, 0.1, -6\/11 in ascending order.\nAnswer: -6\/11, 1\/277, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 7. Is -1 + (190 - (i - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -526, -3, 1906 in increasing order.\nAnswer: -526, -3, 5, 1906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -711 - -2b?\nAnswer: -6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/549310 and 101\/16149714?\nAnswer: 80748570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(5\/6)*v)\/v**(3\/8)*v**1\/v**(-1\/6)*(v*v**(-1)*v*v*v**(2\/5))\/(((v\/v**3)\/v)\/v**(-6)) assuming v is positive.\nAnswer: v**(81\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/132 and -43\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62764*y + 14*y**2 - 62764*y.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 640186041?\nAnswer: 3, 11, 887, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**0)**(-41))**(9\/5) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 43*n - 68. Let o be h(5). What is the greatest common divisor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -63*s**2. Let f(o) = -24*o**2. Calculate v(f(g)).\nAnswer: -36288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -141 + 144. Suppose 2*g + 4*t = 42, -4*g + 14 = -2*g - u*t. Suppose -6 = 2*w - 3*b + 3, 3*w - 4 = b. What is the least common multiple of g and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 144794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 + -12?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37834?\nAnswer: 2, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*(i*i**(-20))\/i)*i)**(5\/2)*(i**(-15\/2)*i)**(-15\/8))**(-47) assuming i is positive.\nAnswer: i**(-48645\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/sqrt(3) + -1 - (-5 + 2 + sqrt(17))**2.\nAnswer: -27 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/((-4)\/1))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 36a5 (base 14) to base 15\nAnswer: 2c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -123\nAnswer: 5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1166 = -2*o - 4*a, -o - a = 2*a - 585. Suppose -h = 2*x - o, -h - 13*x = -10*x - 583. List the prime factors of h.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92506 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -1 + -2 - (1 - 1). Let c(y) be the third derivative of -y**6\/120 - y**5\/30 - y**4\/24 - y**3\/2 - y**2. Is 4 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5019 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**2 + m**2 + 0*m**2. Let t(w) = -4*w - 6*w - 8*w + 11*w. Calculate p(t(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 778 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (4 + -7) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + p - 2 = 0, 3*p - p = 5*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 2*h**6\/15 - 5*h**3\/6 + 5*h. What is the second derivative of c(t) wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-24) - 3\/(-24). Suppose s - q - 2 = -j*s, -3*q - 5 = -2*s. Let v be s\/(-8)*2 + 405\/36. Calculate the greatest common factor of v and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1862 + -66.189782\nAnswer: 1795.810218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3)*1791\/(-597)*2\/58?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a (base 16) in base 8?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 30\/(-2 + 7) + 8 + -8. Calculate the greatest common divisor of w and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 7*z = 4*j - 1791, 4*z = 5*j + 1400. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1304312 and 3.9?\nAnswer: 5086816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 4*o - 24 = 0, -2*m - o - 24 = -6*m. Let i(p) = -p**2 + 5*p - 1. Let z be i(m). Let h be z\/42 - 1\/(12\/(-38)). Solve h*d + d = 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -35*x + 37*x + 3*l, -x + 4*l - 10 = 0. Let k(h) = -6*h + 43. Calculate k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 415 + 22?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4657 - 4560. What is the remainder when s is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -u - o, u - 5*u = 3*o - 29. Suppose 0*b + u*b = -3*s - 11, 0 = -5*b - 20. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**2*y*y*(y\/(y\/(y\/((y*y**1\/y)\/y))*y))\/y*y\/(y*y\/(y*y**1)*y*y)*y**(1\/4)*y)**(-4\/27))**29 assuming y is positive.\nAnswer: y**(-377\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001406676 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -323.1 + 323. Let n = -1 + 0. What is the second smallest value in 3, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-4)*(1 - (-70)\/6). Let b = n - -60. Suppose 3*f = c + 786, b*c + 145 = -5*f + 1441. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -y - 6, -80*m = -78*m + 65*y - 134 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/9 - (-13)\/3. Suppose -1778 = -n*y + 2937. Let f = -11201\/12 + y. Find the common denominator of f and -111\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-5\/8)*g)\/g)**12)**31 assuming g is positive.\nAnswer: g**(-465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7917 and 0.21.\nAnswer: 1662.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2265587 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, q: 2, t: 2, l: 1, d: 1}. What is prob of sequence lv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*g - 3234 = 0, -3*o + 2*g + 2408 = -3*g. Suppose 6*k = 1018 - 190. Let i = o - k. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, g: 1}. What is prob of sequence wg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 511*o**2\/2 - 2042*o - 2215. Differentiate f(z) with respect to z.\nAnswer: 511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*y - 1. Suppose -2*a + 345 = y*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 8*x - 3*x)*(-2*x + 3*x - 6*x)*(-13*x + 6 - 6 + 60*x).\nAnswer: -470*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*v + 2*v + v)*(889 + 3174 - 6049) in the form f + m*v and give m.\nAnswer: 3972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, k: 1, v: 1, w: 3, u: 1, g: 1}. What is prob of sequence wwug?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -91*t - 11 + 181*t - 91*t. Determine p(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 168\/(-20)*(-5)\/3. Which is the closest to 0?  (a) j  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*l*x**2 - 14*l*x - 6*l - 9 wrt x.\nAnswer: 10*l*x - 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91553, 366266, 824121, 1465118, 2289257, 3296538, 4486961?\nAnswer: 5860526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83.77*19494.\nAnswer: 1633012.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 39.51?  (a) -61  (b) -2  (c) 3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 + 321*b**2 + 160 + 261*b + 62*b - 319*b**2.\nAnswer: 2*b**2 + 323*b + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 2*y + 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 - -24003?\nAnswer: 23423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 at least -2\/1868264243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x + 11. Let b be v(-8). Suppose -3*i = 4*g + 19, b*i - 5*g + 6 = 23. Let u = 1.6 - 1.6. What is the closest to 1\/3 in i, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 + 8*l - 6. Let r(z) = 14*z**2. Let j be r(-1). Let q(x) = 22*x**2 - j*x**2 + 7 - 3*x**3 - 8*x**2 - 9*x. Determine -7*b(n) - 6*q(n).\nAnswer: 4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -354 - 219?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*d = 2*t + 34, 3*d = 3*t - 36. Let v be (-8)\/t*6\/(-12). Let -v*n + 0 + 2\/5*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-152 + 134) - (0 - 62).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*w - 11400 = -6*w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.557 - 433.2.\nAnswer: -434.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3562*d + 39947 - 252259 - 282806 for d.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*b + 427 - 220 = 0. Let u = -1.4 + 0.4. What is the closest to 4 in b, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 11 - 36. Let c(g) = 7*g + 7. Let v be c(r). Suppose v = k + k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1496401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*d = -6*d - 21, 3*x - 3*d = 27. Let l(o) be the second derivative of -49*o**5\/10 - o**4\/6 + o. Let s be l(x). Round s to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3 + 4 + 101*w - 2. Let d(l) = l - 8. Let c be d(10). Is q(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44275 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3489296693 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 2:47 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-212)\/(-16)*31 + 12\/(-16). Round g to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -0.007, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k - 2. Let p be r(-6). Suppose -6*c = -5*c + 13. Let i = p - c. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**3 + 5*n**3 + n**3 + 0*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -1 - 6*y + 0*y**2 + 5\/6*y**3. Let l(u) = 2*u**2. What is l(v(o))?\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -101*v**5 - 84*v**5 - 15*v**5 + (-4 + 1 + 1)*(0*v**5 + v**5 - 3*v**5) + 2*v**5 + v**5 - 2*v**5 - 2 - v**5 + 2.\nAnswer: -196*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 3*n, -2*n = 3*v - 3. Solve 5*p + v + 8 = -o, 0 = 4*p + 3*o + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**3\/3 + 4*g**2 - 9*g + 14\/3 = 0 for g.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 38560751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*a - 131*a = 3*n + 26476, 0 = -4*a + 5*n + 105953. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -4, 2, -202062107 in increasing order.\nAnswer: -202062107, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -36 - 24 - 11*t + 91 - 29 - 31*t as k + q*t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22560\/(-576))\/47*-78.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 50175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3215215 is divided by 422.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2390 + 2392. Suppose 24 = 4*b - 3*r, -5*b - 5*r = -0*r + 5. What is the remainder when b is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2611 or 0.17?\nAnswer: -2611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5048 and 2448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**6\/60 - 7*s**3\/6 + 26*s**2. Let m(n) be the first derivative of p(n). Let w(y) = -4 - 2*y + 4. What is m(w(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 4*b + g, -3*b = -b + 5*g + 16 + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44262120 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 2)\/(7\/21). Suppose -22 = -i*n + 41. Suppose t - 24 = -3*t. What is the remainder when n is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 7. Let m(a) = a - 6. Let i(k) = -2*c(k) - 3*m(k). Let v(x) = -2*x + 3. Suppose -b - 21 = 3*g - 4*b, -5*g - 2*b - 7 = 0. Calculate g*i(l) + 4*v(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6664 and 245392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1*(7 - (-8358)\/(-1232) - (-1)\/(-8))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -19. Let f = -12 + x. Does 9 divide 58 - (-10)\/5 - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9536969 is divided by 80.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*w + 36*w**4 - 112\/3*w**3 + 4\/3*w**5 + 0*w**2 + 0 = 0. Calculate w.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2332 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 w, and 1 s when three letters picked without replacement from wwwbwwsbnssw?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 + 4*q**2 + 76*q + 14. Let t be k(11). Solve 4 = -5*g + v, -4*v = -t*g - 5 + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 s when four letters picked without replacement from {s: 5, o: 9}.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1015153, 2030306, 3045459, 4060612, 5075765?\n\"Answer: 1015153*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oolm when four letters picked without replacement from lmyyyomyom.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -32, -63, -100, -143, -192, -247?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 1, j: 1, b: 1, z: 5, d: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -1\/17, -49.\nAnswer: -49, -1\/17, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -598*i - 232. Is x(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796602621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + 6*g**2 + 6*g - 1. Let s be p(-5). Let w(z) = -2*z - 8. Let o be w(s). Solve -14 - 2 = -o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4208 + 2?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -13. Let g = -6.1 - p. Let z = -2 + -1. What is the second smallest value in z, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49325.97 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + -818)*3\/(-3). Suppose 12*q - s = 1115. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 5*q. Let r(h) = 21*h. Let g(x) = -4*o(x) + r(x). Let v(n) = -3*n + 0*n - 3*n. Give g(v(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 18, m: 2}. What is prob of sequence ttm?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 20*o**2 - 19*o - 389. Determine f(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000382663228 rounded to 6 decimal places?\nAnswer: -0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -327*n**2 - 1. Let o(i) = 34*i**2. Calculate f(o(t)).\nAnswer: -378012*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -3, -19 in descending order.\nAnswer: 5, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -2210002211?\nAnswer: -2210010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 269425 and 4405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvppppvpppvv. What is prob of picking 1 v and 3 p?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -95 + 96. Let o be (-2)\/4*(-1 + r)\/(-8). Solve 4*d - d - l = 15, o = -2*d - 5*l + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**2 - 22*i**2 + 19 + 17*i**2 in the form p*i**2 + a*i + q and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence drdd when four letters picked without replacement from {r: 10, d: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxcdccaabfdacxf. Give prob of picking 1 x and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7597760?\nAnswer: 2, 5, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122 - 20*i**2 - 122.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -6 - (12 - 2 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 280, 3, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/2 and -9\/1130.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 4*s - 2. Let z be t(6). Let q be z\/5 + 2\/(-5). Let b(n) = -3*n**2 - 2*n**2 + q + 4*n**2. What is b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - -1742072170730?\nAnswer: 1742072170730.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -313 (base 6) to base 4\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2894409*q**3 - 1151638*q**2?\nAnswer: -17366454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -2*q**2 + 1\/30*q**5 + 1\/6*q**3 + 0 + 0*q + 1\/8*q**4. Let y(b) = 3*b**3 - b**2 - 2*b - 1. Let h be y(-1). Determine j(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1247408*-0.1.\nAnswer: 124740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-14) + 220\/70. Solve i*u = 4*y + 20, 2 = -2*u + 3*y + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-160)\/(-222) + 20\/28 + (-1160)\/840.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 534, -481, -2170, -4533?\nAnswer: -7570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/3*(10 + -7). What is the third derivative of -2*n**6 + 9*n**2 - 8*n**l + 0*n**6 - 7*n**2 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2310176*n**4 + 5*n**2 - 25322*n.\nAnswer: -55444224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 21*f**2 + 8*f**2 - 28*f**2 - 13*f + 35. Let z be y(10). Solve n + 4 = z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 257.00117 + -257. What is k rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 183 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7348363, -14696715, -22045067, -29393419?\nAnswer: -36741771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 74131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 234 - 9597\/41. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 102a52?\nAnswer: 102a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a - 16. Let d be t(-4). Suppose 4*k + 25199984 = -d*j - 3*j, -2*k = -4*j - 33600008. What is j rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = d + 3. Suppose -10 = -n - 2*a, 5*n + a = d + 13. Suppose 4*h - 15 = g, 5*g - 3*g = 3*h - 15. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y**3 + 492*y**2 - 480*y - 1447. Determine l(163).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-15) + (-4)\/6. Suppose 0 = 8*q - 9*q. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from ktttkttkkkkkkkkkkkk.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of 3*v**5\/20 + v**3\/3 - v**2\/2 + 4*v. Let l be w(1). Which is the smallest value?  (a) 3  (b) -1\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 2*d - f + 5 = 0, -d - 5 = -f. Suppose d = 23*k - 28*k - 25. Put -3, 0, k in increasing order.\nAnswer: k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-4))\/(1\/120). What is the greatest common factor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + sqrt(171) + (sqrt(57)\/sqrt(3)*-1 - (sqrt(171)*4 + sqrt(19))))**2.\nAnswer: -66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (22\/5)\/(500\/(-1250)). Sort 7, t, 0.\nAnswer: t, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -195*q**2*s + 149*s wrt q.\nAnswer: -390*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -456, -689, -910, -1113, -1292?\n\"Answer: j**3 - 240*j - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212540 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74611 or -1701?\nAnswer: -74611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 1152*q**2 - 247*q + 1418. What is the thousands digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/((-96)\/65))\/(4\/((-67)\/(1675\/400))).\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 11:02 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4097 is divided by 292.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -3)\/(-3 + 3 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39124.4l in millilitres?\nAnswer: 39124400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296 divided by -324?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -628, -1, 0 in ascending order.\nAnswer: -628, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219 is divided by 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -333*t + 325*t - 160 = 0. Let b(s) = -13*s + 255. Calculate the remainder when b(t) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1463 - 896. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105 (base 9) to base 6\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 3*f + 8, 0 = 8*d - 3*d - 5*f. Let q be (6*(-1)\/4)\/(d\/8). Solve 0 = -y - 2*y + 3, q*o - 3 = -3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42552 and 244674?\nAnswer: 978696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 10:12 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-24)\/20)\/(1\/(-5)). Let m(i) = -13*i**2 - 11*i - 11. Let u(w) = -7*w**2 - 6*w - 6. Let k(y) = v*m(y) - 11*u(y). Let a(d) = 3*d**2. What is k(a(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 766*w**3 + 7*w**2 + 7*w - 6. Let t(o) = -382*o**3 - 4*o**2 - 4*o + 3. Determine 4*m(n) + 7*t(n).\nAnswer: 390*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -0.5, -3\/7, -1\/4, 709, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18)\/sqrt(36) + sqrt(162)*-1 + sqrt(162))*-2 + sqrt(4)\/((sqrt(2)*-2 + sqrt(2))*3)*4)**2*-5.\nAnswer: -490\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxooxyo. Give prob of sequence xb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 11942*z**2 - 23192*z + 11250 = 0.\nAnswer: 5625\/5971, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*s - 10*s - 3*d + 14 = 0, -5*s + 5*d = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - k + 29560 = j, -4*k = j - 5912. Suppose 2*w = -j - 6210. Let m = -60513\/10 - w. Calculate the common denominator of m and 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 0) + (-11)\/((-55)\/(-20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 2)*(-5*v**2 + 4*v - 4*v)*((85 + 29 + 3)*(-4 + 4 - 2) - 5 + 2 + 2) - 3*v**2 + v**2 - 4*v**2.\nAnswer: -2356*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 24730*b**2 + 9*b - 6. What is the hundreds digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*h - 128 - 138*h - 1492 - 298 - 2*h**3.\nAnswer: -2*h**3 - 1918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-11)\/40 - 14\/(-35) and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -678  (b) -1\/5  (c) 2  (d) -5  (e) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -17*a + 8*a**2 + 9*a - 1 + 42*a**2 + 7*a. What are the prime factors of g(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248006?\nAnswer: 2, 11, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-17))\/(4\/(-68)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 2*i + 1. Let c = 8 - 11. Let r be t(c). Let f = r + 6. Solve -2*o = -f*g - 12, -o = -g - 4 - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2255399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7773553\/315 - 24678. Calculate the common denominator of j and 11\/(-24)*(99 + 954)\/(-81).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**4\/5 + 1146*w**3 - 57468*w**2\/5 + 18400*w = 0. Calculate w.\nAnswer: -2875, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0*n - n + (-2*n - 1 + 1)*(1 + 2 - 1))*(0 - 5 + 2)*(18*n**3 + 21*n**3 - 23*n**3).\nAnswer: 288*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -70*n**2 - 4*n + 11735. List the prime factors of h(0).\nAnswer: 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.22 - -13.78. Let d = x - 16. Let g = -155 - -152. What is the closest to 2\/3 in g, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370759526*v + 370759526*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 39893 = 4*s + 40014, -49 = s + 4*r for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/40 - -1)*4\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 107\/(-15) - (-20)\/150. Let u be y*(1 + 0\/(-2)). Let g = 28 - u. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63925104 and 90560564.\nAnswer: 1086726768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 9*a. Let y(x) = -8*x - 4. What is y(g(m))?\nAnswer: -72*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2694 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51.03040863 + 51.500409. Let j = s - 0.47. What is j rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**4 - 3*y**4 - 8*y**5 + (0 - y**3 + 0)*(y**2 + 5 - 6 + 10).\nAnswer: -9*y**5 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5 + -3 + sqrt(500)*-2 - ((5 + -2*sqrt(500))**2 + (sqrt(500) + (-1*sqrt(500) - sqrt(500))*-3)**2)).\nAnswer: -26536 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 7\/11, 7, 0.38 in descending order.\nAnswer: 7, 4, 7\/11, 0.38, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-119 + 1)*1 - (19 + (98 - 111))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -2\/137175517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17503.85 micrograms?\nAnswer: 17.50385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r - 2*r + 3*r)*(-4*r + 3*r + 0*r) + (-6 + 4*r + 6)*(20*r - 36*r - 15*r + (4 + 0 - 3)*(-r + r + r) + r + 2*r - r) to l*r + d*r**2 + v and give d.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**6\/q)\/(q\/(q**(4\/11)\/q)*q))\/((q\/((q\/q**4)\/q))\/(q\/((q\/(q\/((((((q*q*q*q\/(q\/(q*(q*q**3\/q)\/q*q))*q*q)\/q)\/q)\/q*q)\/q)\/q)))\/q))) assuming q is positive.\nAnswer: q**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 2*s = -50. Suppose s*i + 2*d - 17 = 3*d, -2*i = 2*d - 14. Solve 5*b - i*u - 20 = -2, -b = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 11 = -5*j - 4, 4*j + 3*w = -19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 5:58 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 273 - 272. Solve -5*m = -4*k - 8, 4*k + 2*m = -i - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from bvbvvvbbbbbbvbbbvbv.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*g - 19. Suppose -8*o = -3*o - 90. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 3*d**2 + 4*d + 1. Determine i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4910 or -4.2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -43, -60, -77, -94?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -673*x + 412*x - 1635*x = 15168 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4*n + 8*n - 1275 + 325 - 5*n + 2*n. Let q(m) = 2*m. Give q(x(y)).\nAnswer: 2*y - 1900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4)*(-2 + 2 + 6)*(4 - 4 + p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1267891239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 207.55 * -0.2\nAnswer: -41.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 + 0*u**5 - 3*u**5 + (-15 + 15 + 25)*(3*u**5 - 5*u**5 + u**5).\nAnswer: -26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 4*r + 24, -6*r + 3*r + 23 = 4*v. Suppose 3*x - 4*z - 25 = 9, -5*x + 10 = v*z. Let s(k) = k**3 - 5*k**2 - k - 8. Give s(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.1, -0.3, -60, 158 in descending order.\nAnswer: 158, -0.1, -0.3, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and -375097457.3667.\nAnswer: -375097457.1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 172808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-4))\/(503\/1006)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 35\/10 - (-2)\/(-4). Suppose 4*r - n*r + 4*x + 5 = 0, -2*x + 35 = 3*r. Suppose -r*d - 208 = -19*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1078 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 + -29. Solve a + 5*h = z*a + 2, -h - 2 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1190*b**3 - 195*b**4 + 40 - 41 - 89*b**4 + 1192*b**3 to the form o*b**2 + q*b**4 + l*b**3 + m*b + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 8*n**3 - 20*n**2 - 2*n - 6 - 1 - 9*n**3. Let z be v(-20). Calculate the greatest common factor of z and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -12)*((-2 + -11 - 155\/(-93)) + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 21*g + 19. Determine h(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1011 + -1008. Solve -11*n = -16*n + 2*h - 25, -2*h = q*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -1\/20*f**5 + 2*f + 0 + 1\/6*f**3 + 0*f**2 - 1\/12*f**4 + 1\/30*f**6. Solve t(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 10 = -2*j, 8*x - 11*x - 20 = 4*j. Solve x = -2*s - s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 + 21 = -v. Let z = v - -36. Let a = 77 + z. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2760641 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1102 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2169709.\nAnswer: 61, 35569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 20202886.\nAnswer: 101014430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 21131?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + v + v)*(-2 + 2 + 1) + 6*v + 6*v + 3*v + (-1 + 1 - 1)*(-3 + 3 - 2*v) - 1 + 2*v + 1.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -306786, -306790, -306794, -306798?\n\"Answer: -4*c - 306782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (35\/(-70))\/(1\/482). Let l = -481\/2 - q. Which is smaller: 1.05 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-4\/11))\/r**(-1)*(r*r*r**(-1))**(-18) assuming r is positive.\nAnswer: r**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 11 = -4*c, -5*x = 4*c - 6 - 1. Let b be ((-8)\/10)\/((-2)\/15). Let p(o) = 1 - 2*o + b*o**2 + 2*o - o**2 + o. Determine p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4396 + 4407. Is -16 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 8*f**2 + 22*f + 11. Determine i(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -32, -10, 128, 436, 968, 1778?\n\"Answer: 9*c**3 + 4*c**2 - 53*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2\/8 - 149511*p + 14902359414.\nAnswer: 3*(p - 199348)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**6\/40 - s**5\/10 + s**4\/8 + s**3 - 12*s**2. Factor n(w).\nAnswer: -3*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -27713080 and -132?\nAnswer: 27712948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2520 divided by 12\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 113291 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = -110*t + 109*t + 5*y, 34*y + 8 = t + 35*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0111 and 54361.\nAnswer: 54361.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, z: 3, h: 1, v: 3, u: 10, s: 1}. What is prob of picking 1 s, 1 z, and 1 h?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 21*w - 125. Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**3 + 7*d**2 + 7*d + 7. Let x(k) = -3*k**2 + 3 - k**3 - 1 + 3029*k - 5 - 3032*k. Calculate -3*b(u) - 7*x(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -996*j**3 + 492*j**3 + 508*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40355805 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from enneeeeeeee. Give prob of sequence ee.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2 - 10*x - 16. What is the least common multiple of 10 and d(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*((sqrt(2) + (sqrt(32))**2)*5 + 2) + (sqrt(12)\/(sqrt(6) - sqrt(6)*-1) - (1*sqrt(12) - sqrt(12))\/sqrt(6)).\nAnswer: -167 - 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000087663 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6*w**3 - 2*w - 2. Let z(i) = -4*i - 62. Let y be z(-16). Calculate the remainder when 167 is divided by n(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.23265 from 0.034.\nAnswer: -0.19865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/39*(-1287)\/396. Let c = -0.5 + 5.5. What is the nearest to l in c, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zoiiihzoigio. Give prob of picking 3 i and 1 g.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 9 + 33*t + t**2 - 154 + 37 + 48. Determine i(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-135 - 14)*(3 + (-7 - 0)). What is the units digit of 49 + -45 - -1*(q + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.5, 0.2, 3256, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -167*d**4 + 184*d**2?\nAnswer: -4008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-18)*(-13500)\/(-3600)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**5\/4 - 32*n**3\/3 - 457*n**2 + 6309*n. What is the derivative of c(d) wrt d?\nAnswer: -15*d**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/j**(1\/3)))\/j**(-4)*j\/j**(-1)*j*j\/(j**(-1\/10)\/j))**(3\/8) assuming j is positive.\nAnswer: j**(283\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.14, 18, 2, -10, 1\/2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*s - 2*l - 148, 3*l = -2*s + 124. What is the remainder when s is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2561 - 2561. Solve -4*a + 29 = -n*a + 3*u, 3*u = 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(1\/12))\/z**(-1\/5))\/(z**(-1\/3)\/z**(1\/8))*((z*z**5*z*z)\/(z**(1\/2)\/z))**32 assuming z is positive.\nAnswer: z**(10943\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -497.698571 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -618 + 1211. Suppose 3*c = -233 + m. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/19, 0, 457, -0.11?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.92 + -0.08.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/4)\/w*w)**(2\/9))**(-1\/2) assuming w is positive.\nAnswer: w**(1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/10*-1*5. Suppose 0 = -v - m*z + 71, -v - 3*z = -5*z - 65. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/6 + 200\/(-30) + 6. Put m, -2, -45 in decreasing order.\nAnswer: m, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-21) + (-2)\/(-14). Let c = -4 + 2. What is the closest to -0.1 in c, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.57455 seconds in minutes?\nAnswer: 0.2762425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 48*a**2 + 245*a + 383. Determine r(42).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 0*n - 2*n)*(2 - 2 + 4*n) + 0*n + 0*n - 2*n**2 + (3*n**2 + 2 - 4*n**2 - n**2)*(2 + 0 + 2).\nAnswer: -14*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -7, 2\/13, -20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 14. Let a(w) = 20*w + 61. Let l(z) = -a(z) + 4*i(z). Let r(m) = 15*m + 4. Give -5*l(c) - 6*r(c).\nAnswer: -10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 20\/16276039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -5, 2, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -239 = 38*h + 217. Let b be -21*(288\/42)\/h. Let v(w) = w**2 - 6*w - 3. Let s(d) = d**2 - 7*d - 2. Let u(q) = -6*s(q) + 5*v(q). Calculate u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51225 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 10bf2 - 6dc?\nAnswer: 10516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, 313, -896, 1 in descending order.\nAnswer: 313, 50, 1, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 5*l**3 + 16*l**2 - 95*l - 46. Give h(5).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 239, -0.7, 807.\nAnswer: -0.7, 239, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 89 + -1. Let n = d - 107. Which is the nearest to n?  (a) -0.3  (b) -1\/8  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1425696 divided by 356424.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrpwrrrpzrzrrrrwrr. Give prob of picking 1 z and 1 r.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3504 at least 3504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -113005*o**6 - 9*o**4 - 3*o**2 + 73756*o?\nAnswer: -13560600*o**3 - 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 17 + g**2 - 12*g**2 + 10*g**2 + 43*g.\nAnswer: -g**2 + 43*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 - g**2 + 8*g + 3. Let v(t) = -t**3 + 10*t + 4. Let c(y) = 7*k(y) - 6*v(y). What is c(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 12:19 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 13511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tthuttttchhtthhht. What is prob of picking 2 h, 1 t, and 1 u?\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.16 + 0.06. Which is the closest to 1?  (a) 3  (b) 1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.176 - -0.124. Which is the third biggest value?  (a) 8  (b) -0.06  (c) o  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10279 - 4959 = -116*o - 1782. What is the remainder when 1159 is divided by o?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 21*s = -12. Is (s + 3)\/12 - (-73606)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35586685009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55376 and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11187.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32*m*u**4 + 16*m*u**3 - 12024*m*u**2 + m*u + m - 4*u**4 + 37*u**3 - 91*u**2 wrt u?\nAnswer: -768*m*u + 96*m - 96*u + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((3 - 5) + (4 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1259 is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 86298912 divided by 256842\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 122112060557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 2*b**3\/3 - 123*b + 2. Let t(s) = 349*s + 1 - 1 - 305*s. What is t(q(x))?\nAnswer: 176*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 7. Suppose 0 = 5*x - 0*x + l - 10, -4*l - 29 = -3*x. Let o = 2 + 3. Which is the second biggest value?  (a) h  (b) x  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 0.1. Suppose -3*q + 0*q = -2*q. Let i = -264 + 2109\/8. What is the closest to z in q, i, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32354353 (base 6) to base 2\nAnswer: 11101011010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*q - 15 = 25*q. Suppose 5*r = -q*r + 2180. List the prime factors of r.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -3. Let f = 77\/555 - 1\/185. Let j = 3\/10 - f. Is t >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -141*o + 177. What are the prime factors of l(-9)?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -303 - -313. Suppose -4*c = 2*m - 4, 3*c - 5*m + y = 5*c. Solve -q = -a + 9 - 3, c = 3*a + 2*q - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1918831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316 + 40 = -89*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of l**8\/21 + 2*l**7\/105 + 17*l**4\/12 + 82*l**2. Find the second derivative of z(r) wrt r.\nAnswer: 320*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -2. Let f(g) = 57*g - 224. Let i be f(4). What is the nearest to i in -0.3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, j: 5, h: 3}. Give prob of sequence jggj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 340074\/1575 + (-4)\/(-50) and 252.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -15*u + 16. Suppose -u*x + 5*s + 454 = -x, -1801 = -4*x + 5*s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -4*z**2. Let s = -69 - -46. Let u = 26 + s. Let g(k) = 342 + u*k + 2*k - 342. Determine g(f(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -3 - 0) + 3. Let k(g) = g**3 + 3*g**2 + 2*g + 3. Let b(u) = -u**2 + u - 1. Let p(j) = y*k(j) + 3*b(j). Find the second derivative of p(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -366910 less than or equal to -366873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, y: 4, e: 1, q: 2, d: 3}. What is prob of picking 2 d and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 3*s - 537*s**3 - 5*s.\nAnswer: -537*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - 2 - -5)*-3. Suppose 5*c - 4*w = 2*c + 36, 2*c = -y*w + 7. Solve 11*b + 12 = c*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from iidiidii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -923 - -1688. Suppose -4272 = -7*r - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -10*h - 75. Let o be v(-8). Solve -9 = -o*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 15*w**2 - 3*w - 3. Let f(k) = 90*k**2 - 17*k - 17. What is 6*f(j) - 34*i(j)?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6716*0.218.\nAnswer: -1464.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3136 = -834*d + 778*d. What is the greatest common factor of d and 992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6974 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -164*1\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/9?  (a) 11  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 54.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 418 and 6577890.\nAnswer: 124979910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*l + 55*l - 122*l - 242262 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63612 divided by -7\nAnswer: 63612\/7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 3\/5  (b) -0.2  (c) 2\/17  (d) 0.2  (e) -2.76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - -112. Let w = 141 - l. Solve -4*x = -3*h + 2, -x = w*h - 6*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 907 - 172. Let k be (-357)\/r - (-1)\/5. Put -2, 0.03, k in ascending order.\nAnswer: -2, k, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08707 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 16. What is the nearest to 1\/2 in 1\/5, r, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 + 45. Let z be 8\/5 - r\/5*1. Let i be (1\/z)\/((-10)\/(-60)). Solve 16 = i*c + c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 506 and 3939254.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1819 + 216*r - 4377 - 39*r**2 + 38*r**2 - 9106.\nAnswer: -(r - 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 8*a - 3. Let q(t) = -t**3 - 9*t**2 - 17*t - 15. Let d be q(-7). Suppose d*u = -4*u + 60. Calculate v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3744599 is divided by 1248190.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/2)\/(15\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 502080037*b**2 + 564840489 wrt b.\nAnswer: 1004160074*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 3. Suppose -4*t = 24*t - 84. Solve t*s = -o + 8, -4*s + 21 = w*o + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3*h + 30 = 0. Let q(s) = -3*s + 1. Calculate the remainder when 61 is divided by q(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*k + 199 = -95*k - 4*f, f = -2*k - f - 96 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 984 - -65106?\nAnswer: 66090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.05 + 0.35. Let u = -0.1 - d. What is the closest to 1\/3 in -3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38476 - 76953\/2. Which is the third biggest value?  (a) -0.056  (b) -8\/9  (c) 1\/2  (d) z  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + s + 2 = 0. Let p = -0.51 + 0.41. Which is the biggest value?  (a) p  (b) 0  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of b**7\/630 + b**6\/360 - 31*b**5\/60 - 3*b**2 + 10*b. Let t(r) be the third derivative of d(r). What is t(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 60310450?\nAnswer: -2\/30155225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 92986087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - s = -4051, -5*s - 14183 = -7*d - 4760. What is the greatest common divisor of 304 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 113*d**2 + 999*d + 289551. Determine h(136).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254594101 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {k: 9, w: 4, c: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48450456 by -24225228.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/120 and -23\/39460.\nAnswer: 236760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**4\/7 - 2*m**3 + 4*m**2 - 16*m\/7 = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -421 in -2, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 2, -2.5, -66, 2\/65?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -314*m + 8 + 308*m + 12 to h*m + i and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 times 0.97033?\nAnswer: -13.58462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - g - 4, -5*p - 26*g = -30*g - 16. Suppose 3\/2*z**3 - 1\/2*z**4 + p*z - z**2 + 0 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -387.3579 to zero decimal places.\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 0)*-1 + 0. Let x = -0.9 - -1. Let a be (245\/(-21))\/(-7) - (-2)\/(-2). What is the third biggest value in y, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 179069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m. Let h be z(1). Let t = h - 4. Suppose -5*f - 65 = -5*r, 5*r - 57 = -f - 2*f. Solve -5*b - 11 = 4*u, 4*b + 4*u + r = -t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - -1.2. Let t = p - -2. Let k = -29.6 + 29.9. Which is the third biggest value?  (a) 0.4  (b) t  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*h - 243 = 0, -2*h + 0*h = 6. What is the highest common factor of p and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 24. Let l(v) = -v**3 + 7*v**2 + 18*v + 10. Let k be 3\/(2 - 1 - (-16)\/(-24)). What is the remainder when l(k) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((4*(-3*sqrt(95) - sqrt(95)) - (sqrt(95) - sqrt(95)*-2)*3)\/((sqrt(10) - sqrt(30)\/sqrt(48))\/sqrt(2)*5))**2.\nAnswer: 7645\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/5  (b) 0.3  (c) -4647067  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/90*1\/(1\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*(-80)\/250)\/((-2)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1069 + 1094 + 1 + -1 + 19?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001101111001010100100 - 0?\nAnswer: 10001101111001010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-5)\/20*-6)\/((-3)\/(-4)). Suppose g - 1218 = -g. Suppose -s*c - 5*c = -g. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 8*a**2 - 7*a - 17. Let h(j) = -17*j**2 + 15*j + 35. Give -6*h(o) - 13*n(o).\nAnswer: -2*o**2 + o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34771 and 17226.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 + 65*r**2 + 15*r + 2. Let n be k(25). What is n rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 + 46. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 6*x**2 + 3. Suppose 0 = -4*s + 3*n + 24, 14 = 5*s + 5*n - 16. Let k be v(s). Solve k*c - 7 = d - c, 5 = -d + 3*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + y - 2 - 4*y + 0*y + 2*y + (-5 + 4 + 3)*(6*y - 2*y - 2*y) + 3 - 3 + y - 1 + 1 - y + 180 - 93 + 15*y - 105.\nAnswer: 18*y - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33.8402 + 181488055.\nAnswer: 181488021.1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 0 + 3 + 1 + 7*l + 5.\nAnswer: 7*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1\/2))\/k**(1\/15))\/(k**(3\/2))**(-17\/7) assuming k is positive.\nAnswer: k**(428\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-2 - (2 - 2))) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-4 - -10) - (-1 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a**4\/7 + 2032*a**3\/7 - 195568*a**2\/7 + 54720*a = 0. What is a?\nAnswer: 0, 2, 126, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -10 - 5, 3*w - 27 = -3*s. Let j(o) be the third derivative of -o**4\/24 + o**3 - 2*o**2. Let n be j(s). Is -1\/13 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6572)\/(-20) + (-12)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15055, -30116, -45177, -60238, -75299, -90360?\nAnswer: -105421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -41*z**7\/42 - 4*z**3\/3 + z**2 - 18*z - 3. Find the second derivative of v(b) wrt b.\nAnswer: -820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 7 + 14 = 0. Let z = 0.92769 - -0.07231. Which is the nearest to z?  (a) -9\/5  (b) -2\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*t - 11. Let b = -548 - -560. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24300 (base 5) in base 4?\nAnswer: -130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*g - 27*g = 17442. What is the remainder when g is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7713 - -40?\nAnswer: 7753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3445780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6563957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**3 - 2*i**2 - 3*i - 4. Let r(k) = k**3 - 19*k**2 + 16*k + 39. Let l be r(18). Determine a(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -404*v - 3480*v - 24771 + 261656 = 423*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 50280 divided by 2?\nAnswer: 25140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 - 22. Suppose -5*r = -3*i - 3, z + 6 = 4*i + 3*r. Solve -k - 1 + i = 2*x, 2*x - 4*k - 28 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 4*o - 5. Let p(z) = z**2 - 10 + 8*z - z**2 + 2*z**2 + 0*z**2. Let k(l) = 9*n(l) - 4*p(l). Determine k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 892866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -180882 or -180880?\nAnswer: -180882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-1) - (-12267)\/(-6). Let h = -48997\/24 - m. Calculate the common denominator of h and -31\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 938659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**3 - 101*v**2 + 348*v - 6011. What is u(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -387395 divided by -77479.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/1196923 and 25\/8.\nAnswer: 9575384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*s - 27 = -2019*s + 24*s + 25263 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 22450*i - 246921. Give w(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/827 greater than 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m + 4*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -420*c**2 + 414*c**2 + 3 + 1 - 4.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 0  (c) -0.0383  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -1 + 14*j**2 - 8*j**2 - 5*j**2 - 6*j. Let d be o(10). Suppose 0 = -2*k, 0*r - d = -3*r + k. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 779300 and 425900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 6*m - 3. Let y(z) be the third derivative of -1\/3*z**3 + 0 - z**2 + 0*z + 5\/24*z**4. Give 4*r(l) - 5*y(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*t)*(-5 - 9 - 4).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -109.3625 - -109.4. Round z to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2186 + 10728. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5624523, 5624524, 5624525, 5624526, 5624527?\nAnswer: 5624528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000027423985 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -0.5584.\nAnswer: -0.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 2*q**2 + q. Let n be g(1). Let y be n - (-9 - (-6 - -3)). Suppose -u = -y*u + 37500. Round u to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20.434 - -19.434. Put 71\/38, i, -1\/2 in increasing order.\nAnswer: i, -1\/2, 71\/38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 544 - 579 = -5*m, 3*b + 14 = -4*m. Is 57.2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1485 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -36*z**2 + 51*z - 17. Let y(k) = -9*k**2 + 12*k - 4. Determine 6*t(v) - 26*y(v).\nAnswer: 18*v**2 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.032 - 8.368. Let f = d + 5.7. Which is smaller: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24771 + -24764. Sort -11, -4, m, -1, 4 in descending order.\nAnswer: m, 4, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19ba920 (base 12) to base 16.\nAnswer: -537fa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*v - 91619 + 38939. Calculate the remainder when v is divided by 877.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 - 50\/(10\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of (32\/(-20)*1)\/((-13)\/((-1560650)\/(-20)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + b**3 - 3)*(-3*b**2 - b + b) - 2*b**5 - 3 + 3.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 12) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 12*g + 5. What is t(9)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25985.5 + -21365. Round i to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1419\/215)\/((-18)\/(-10))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 5*g - 362, g = 240*r - 238*r - 362. Calculate the remainder when 2349 is divided by r.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -23251049, -46502099, -69753151, -93004205, -116255261, -139506319?\n\"Answer: -b**2 - 23251047*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*l + 64. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*u - 10 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krh when three letters picked without replacement from {v: 2, k: 2, r: 1, l: 1, h: 2, d: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4\/9, 615 in increasing order.\nAnswer: -1, -4\/9, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 204 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s - 16. Let q be m(-13). Let k = q + -23. Suppose 4*l - j = 115, -l = -j - k*j - 31. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((4 - 1)\/3). Let y = -14.2 + 15. Is k at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*b + 1 - 1)*((0 + 2 - 1)*(0*b + b - 5*b) - b + 2*b - 2*b) to the form n*b**2 + i + f*b and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -177*d**3\/2 - 1970538*d**2 + 4074855*d\/2 - 66801 = 0.\nAnswer: -22267, 2\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -40, -33, 12, 107, 264, 495, 812?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/84 and 119\/312?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -317*m - 319*m + 43946*m**2 + 636*m.\nAnswer: 43946*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.986405 millimeters to kilometers.\nAnswer: 0.000007986405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 825 = 150. Is (-3)\/(-3 - j\/48) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 15\/75*((-20)\/(-3))\/(4\/9). Solve 0 = 5*w - 2*p, m*w - 11*p = -7*p - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 964215 * 4.8\nAnswer: 4628232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201222 + 12?\nAnswer: -201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - -2. Suppose -2 = o - j. Let m(s) = 2*s + 0*s - s**3 + o - 8*s**2 + 5*s**2. Determine m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-12\/5)*w**(2\/19)*w)\/(w**(-30))**(-21) assuming w is positive.\nAnswer: w**(-59878\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-7) + (-18)\/7. Is (-90)\/12*8\/q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 119 and 113236720032.\nAnswer: 113236720151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451961895.\nAnswer: 3, 5, 7, 11, 251, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of -p**6\/75 + p**4\/15 - p**2\/5 + 46*p. Factor x(t).\nAnswer: -2*(t - 1)**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence php when three letters picked without replacement from pjhophjhhj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -1\/1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*s = -64. Suppose -3*c - 5*c = s. What is the units digit of 318\/66 - c\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*r - 3. Let k be (-2 + -3 + 6)\/(r\/(-54)). What is the highest common divisor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -282*l**2 - 8175*l - 27. What is s(-29)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or -37\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -739 (base 11) to base 2.\nAnswer: -1101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**2 + 12052*m - 3901744 = 0?\nAnswer: -6334, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*w + 3 = 15*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.054 * 9.5\nAnswer: -0.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 190?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1428 + -1314. What is the highest common factor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/92 + 264204\/(-110331).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.02406 - -0.32406. What is the third smallest value in -1\/9, -0.039, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 10. Suppose -v - 18 = -4*v. Calculate the highest common factor of v and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 7*f**2 - f - 4. Let o(s) = 3*s**2 + 4*s - 1. Let u be o(-3). Suppose -8*x = -6*x + u. Calculate c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6108196348.\nAnswer: 2, 1527049087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 6*(sqrt(84)\/(-1*sqrt(567)))\/(sqrt(8)\/(sqrt(242) + sqrt(242)*-1 + sqrt(242))).\nAnswer: -22*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -6*v**2 + 1. Let c(d) = -2*d**3 - 43*d**2 - 11*d - 14. Let p(u) = -c(u) + 6*n(u). Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1612838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (10 + (-10 - 4388))\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 10:59 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-166)\/420 + (13 - ((-938)\/(-98) + 3))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55879296 - -5.\nAnswer: 55879301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 9:43 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*s + 0*s + 4*s**2 - 2*s + 3*s wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -40*g + 1341. Determine y(32).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.116 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllllalallla. What is prob of sequence lala?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (-1 - -11) - (-28 + -3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 0 - 2\/3*l**3 + 0*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 5*c + 4. Let x = -62 - -2. Let u be (x\/(-50))\/((-4)\/10) - -8. Let y be k(u). Solve -5*s + y*s - 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/(-300) + (-841)\/(-435). Solve -t = h*u - 3, -2*u - 54 = 5*t - 69 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165.432036 hours in weeks?\nAnswer: 0.9847145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 171*m**2. Let d(i) = 9591*i. Calculate p(d(n)).\nAnswer: 15729825051*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 - 33. Let i be 10\/(-18)*y - 3. Does i = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 10*c**2 - 137*c + 544. Let r be b(5). Solve -179 = -48*l + r for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.175 + -0.175. Suppose 0 = 2*l + 6, -5*t = l + 10 + 3. Sort h, -0.1, t, 0.05 in descending order.\nAnswer: h, 0.05, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, m: 1, k: 1, g: 1, v: 2}. Give prob of picking 1 g and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**7\/1960 - j**6\/840 + j**5\/70 + j**4\/14 - j**3\/2 - 5*j**2. Let n(t) be the first derivative of w(t). Factor n(i).\nAnswer: -3*(i - 2)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.6  (b) -1  (c) -0.3  (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -4*v + 35 - 11, 4*g - 5*v = -12. Suppose k - 28 = 5*h, g*h = -k + 5*h + 28. What are the prime factors of (-4)\/14 - (-344)\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2. Let g be b(-1). Let i be 2\/(-4) + (-125)\/(-50). Suppose i*o - 6 = m, 3*m + g*m - 20 = 0. Solve -1 = o*n - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 22*q. Let a(t) = 11*t. Calculate r(a(m)).\nAnswer: 242*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 177404659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 479 + -476. Solve -2*d + d = y*g + 12, -4*g + 5*d - 35 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11275.9 - 11276. Let v = 0.6 - 4.6. Let q be (-14)\/24 + (-2)\/(-6). Which is the nearest to m?  (a) 7  (b) v  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*-2 + -110 + 119. Suppose -t + h*v - 8*v + 3952 = 0, 2*t - 7907 = v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j**2 + 5*j - 6. Let y(d) = 13*d**2 + 21*d - 23. Let s(p) = 9*f(p) - 2*y(p). Let b be s(-4). Is (-5990)\/b + (-3)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 9) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 1\/4  (c) 256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1*(1\/(-1))\/((-2)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57 - 40 - -73) + -10.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 7. Let j(s) = -s + 5. Let f be j(8). Which is bigger: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1872*r - 1848*r - 36168. Calculate the least common multiple of r and 22.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 117*j - 1145. Determine m(-106).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -80, -324, -584, -860?\n\"Answer: -8*h**2 - 220*h + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Which is the closest to 0?  (a) 1\/2  (b) -1\/10  (c) -449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or 108\/53?\nAnswer: 108\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 96 - 87. Let c(p) = p + 1. What is the smallest common multiple of q and c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g + g - g - 2*g**2 + 2*g**2 + 17*g - 10*g + 33*g + (0*g + g - 2*g)*(3*g - 2*g - 3*g) in the form p*g**2 + n + l*g and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 1\/40*z**5 + 0*z**2 + 1\/48*z**4 + 0*z**3 + 1\/120*z**6 + 0 + 2*z. Solve q(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 51. What is the least common multiple of g and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14072?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/3141 and 20\/1044557.\nAnswer: 9401013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 62a680 (base 12) to base 5\nAnswer: 344141304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 52 - -608. Suppose -i = -5*y + 5*u, 3*y + 2*u = 369 + 42. Suppose -y - 145 = -5*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35686 (base 9) to base 10.\nAnswer: -23892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 11:25 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, u: 9, t: 2, o: 3, f: 1, e: 1}. Give prob of picking 1 g and 2 u.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 14, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002071224878 rounded to six dps?\nAnswer: -0.002071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + n - 1 + 3)*(-2*n**2 - 6*n**2 + 3*n**2).\nAnswer: -5*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 116 = -n - 96, 3*b - 15 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -608, 852, 5 in descending order.\nAnswer: 852, 5, -1, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**3 + 11*u**2 - 9*u - 3. Determine y(-7).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -126 + 127.76. Let i = d - -1.24. Which is the nearest to 2\/3?  (a) 0.4  (b) i  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -2*l**2 + 134*l - 384 = 0.\nAnswer: 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 9*i**2 + 10*i. Let l be f(10). Suppose -4*g + 0*g = l. Let w = 1643 + -1640. Solve 2*n - n - w = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2964\/8892)\/((-3)\/90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3917900 rounded to the nearest ten thousand?\nAnswer: 3920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 109)*(-4)\/(-12). Solve 5*b = -4*q - k, -b - b - 10 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 1280*n**2. Let d(q) = q. What is d(g(a))?\nAnswer: 1280*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*c + 3. Find the second derivative of -5*a**c + 2*a**3 + 3*a + 0*a wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + 4*v + 3. Let r be j(-4). Suppose -2*o = -4*k + 72, 68 = 4*k + k + r*o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + n**2 + 2*n)*(-16650*n + 6 - 8 + 15233*n) + 2*n**3 + 4*n**3 - 2*n**3.\nAnswer: -1413*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-1))\/((-10)\/(-70)). Let z = 17 - s. Calculate the highest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613194979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 + 181*q - 88*q + 5*q**2 - 93*q - 50*q + 50*q - 12*q**2 + (q + q - q)*(2*q - 2*q + 2*q) to the form p*q + f*q**2 + j and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**9\/864 - 17*g**8\/3360 + g**7\/1260 - 17*g**4\/12 + g + 11. Let v(u) be the third derivative of i(u). Solve v(o) = 0.\nAnswer: -2, 0, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8393, 7120, 5843, 4562, 3277?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*z - 2 = -22*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 800 - -8380?\nAnswer: 9180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -1131*y + 2256*y - 1131*y - 6 - 28*y**2. Let u(d) = 4*d**2 + d + 1. Let c(o) = t(o) + 6*u(o). Let f(x) = 2*x**2 - 18. Determine c(f(q)).\nAnswer: -16*q**4 + 288*q**2 - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/(-8) - (-54)\/4. Suppose 0 = 5*d - 5*t - 35, -4*d - 2*t = -0*d - 4. Calculate the highest common divisor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 8*d. Let x be y(7). Suppose 0 = 9*j + x - 61. Let c(k) = -j*k + k + 6*k. Let b(t) = -8*t. Give b(c(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 724393 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + g - 1. Let h(r) = 7*r**3 - 3*r**2 + 3*r - 3. What is -6*a(u) + 2*h(u)?\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrh when three letters picked without replacement from xrzzwmwmmmxzmwmhm?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10419519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bd5414 - 4c?\nAnswer: -bd5462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -335 - -343. Suppose -n = -4*b + 26, -4*b - 6*n = -w*n - 24. What is the lowest common multiple of b and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, j: 3, p: 6, u: 4, x: 1}. What is prob of picking 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4109438*i**3*l**2 - i**3*l + 5*i**3 + 100*i**2*l + 2*i*l**5 - 2*l - 156 wrt l?\nAnswer: -8218876*i**3 + 40*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 6:17 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 118702*f + 949600. Determine w(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/6*(-63)\/945?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1519339068 to the nearest integer?\nAnswer: 38979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13516 + -554252\/41. Which is bigger: -2\/7 or q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 14 = 22. Suppose -2*i - 3*t + 135 = 0, 3*i + t + 0*t - 206 = 0. Suppose o = -2*o + i. What is the remainder when o is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + 43 + 27. What is the second derivative of -22*b - 10 - j + 20 - 39*b**2 wrt b?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/3 + (-208)\/(-78). What is the highest common factor of 145 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 485, 806, 1113, 1400, 1661, 1890, 2081?\nAnswer: 2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b8093 - -10b?\nAnswer: -2b7b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-7))\/((-25)\/(-175)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + sqrt(396) + 2).\nAnswer: -36*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 26*g**3 - 14*g + 14. Let h(i) be the second derivative of i**5\/20 - i**3\/6 + i**2\/2 + 16*i - 34. What is -42*h(q) + 3*p(q)?\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 12, p: 1, k: 7}. Give prob of sequence pe.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, 57, 201, 423, 723?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 99431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = 3*w - 12, 2 = -5*w - 151*q + 150*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 32211546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(125) - (-3 + sqrt(125) + sqrt(125) + -1)**2)*-4*5.\nAnswer: -8500*sqrt(5) + 51600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1325 = -8*l + 3*l. What is l rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 10 = s - 2*s, 14 = -3*s - 2*g. Let u = 6 + s. Suppose 3*f = z + 10, 2*f = -u*z + 2*z - 4. Let x(p) = p - 3. Determine x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 130*x = 134*x + 12, 4*c - 3*x - 31 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 6*n - 4. Let r be g(4). Put 5, 2, r in increasing order.\nAnswer: 2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 17*h**2 + 19*h + 2. What is the tens digit of f(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21225943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of p**5\/60 - p**4\/12 + 22*p**2. Let k(h) = -2*h**2 + 3*h + 1. What is -3*k(z) - 4*x(z)?\nAnswer: 2*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3796, 3790, 3784, 3778?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6084 - -6701. What is the remainder when c is divided by 168?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-3\/16))\/x*x**(3\/2) assuming x is positive.\nAnswer: x**(27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h - 44 + 98 - 3*h - 146 + 7*h. Let y(i) = 2*i**2. Give y(v(o)).\nAnswer: 8*o**2 - 736*o + 16928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 0) + 6 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bfbbbfbfffbfffbbfb?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**3\/2 - 183*z**2\/2 + 7395*z\/2 - 7209\/2 = 0. Calculate z.\nAnswer: -89, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 103342 and 5706?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 396 + 120 - 36 = -62*n - 1256 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*q - 5*q - 45 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -4*u**2 - 46*u + 148. What is o(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 4. Suppose s = -v*s + 9. Suppose -s*p + 5*p = 2*a + 2, p + 2 = 2*a. What is the second biggest value in -5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, o: 5, r: 2}. Give prob of picking 3 o and 1 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = 5*o - 9*o. Let w(b) = -b**2 + 20*b + 48. Let k be w(o). Let q = 67 - k. Solve -4*t = -3*c - 11, 2*c + 5*t - 2*t - 4 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 545538, 545543, 545546, 545547, 545546?\nAnswer: 545543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 54963736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*k**3 - 4*k**2 + 8*k**2 - 47*k + 46*k - 1 to h*k + b*k**2 + v + n*k**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 - (204\/(-3))\/4 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 256 = 7*a. Suppose 13*z - 5*z - a = 0. What is the lowest common multiple of 0 + (1 + -2)*-1 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10480)\/(-1965)*15\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 14322597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 15 - (-325 - -350)) + -3 + (66 - 1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from esseesvsssso. What is prob of sequence eose?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + 28. What is the remainder when w is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by 2342?\nAnswer: 17\/2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/9*-1*(-5430)\/177380?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53143154.\nAnswer: 2, 26571577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/244 and -40\/549.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 + 6*l**2 + l**2 + (-3*l**2 - 2*l**2 + 2*l**2)*(0 + 2 - 4) + 4*l**2 - 3*l**2 - 3*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 + -2 + -3 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 47*g**3 + 3*g - 2. Let d be i(1). Find the common denominator of (-1)\/((-2)\/22)*(-7)\/(-126) and (-74)\/d - -1*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 6, 2\/21, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -81277 or -81092?\nAnswer: -81092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/49170500 and 91\/147511500.\nAnswer: 147511500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/g**(-7\/5))\/(g**(-1\/7)*g))\/(g**(1\/2)*g**(-7)) assuming g is positive.\nAnswer: g**(633\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -0.6061063991?\nAnswer: -0.3061063991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9111.265 + 9110.5149858. Let a = -0.05 - 0.7. Let d = w - a. What is d rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -157*k**3 - 259*k**2 - 34*k - 36. What is v(-1)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 94 + 38. Suppose 12 - f = 6*j. Does 18 divide 15\/j + (-559)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -74, 2, 0, -10, -3, 9, 1 in descending order.\nAnswer: 9, 2, 1, 0, -3, -10, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35637, -0.1, -4, 0.5 in ascending order.\nAnswer: -35637, -4, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + ((-1030)\/(-26))\/5. Let s = -61125\/10322 + d. Let n = s + -25211\/1191. Calculate the common denominator of 47\/9 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/(-35))\/(5 + 69\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 5*s + 8. Let i be n(6). Suppose -2*v - i = -3*v. Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5647 - -9888. Do 4240 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 - 1)*(3 + 2 - 3)*(0 + 5 + 2)*(3*p - p**4 - 3*p).\nAnswer: 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6768516 and 26061.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6175 + 22585. What are the prime factors of s?\nAnswer: 2, 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(21\/2)\/(20565\/(-1530) + 13)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-3) - 16\/24. Let t(g) = g. Let s be t(j). Let d = -4 + 4.8. Is s less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**5 - 84*l**4 + 1065*l**3 - 2850*l**2 = 0. What is l?\nAnswer: -38, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000051556 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 2:52 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38861 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -7*n**4 + 9*n**3 - 9*n**2 + n. Let u(o) = -36*o**4 + 44*o**3 - 44*o**2 + 4*o. Let r(d) = 16*k(d) - 3*u(d). Factor r(s).\nAnswer: -4*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 39, 62, 103, 168?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -40018815.6 to the nearest 100000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 9, d: 4, k: 4}. What is prob of picking 2 k, 1 q, and 1 d?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/4)\/((-315)\/(-2268)*(-72)\/(-300)*5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79 - 77. Let u(z) = 10*z**2 + 2. Let v be u(t). Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -4*o - 2*l - 7, -o = 5*l. Suppose 0 = -2*z - q + 6, 0*q + 33 = o*z - 2*q. Suppose 28 = z*u - 12. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -4*b - 8, -c - 4*b - 10 = -2. Suppose -y + 2*j + 5 = c, 3*y + 2*j = 2*y + 1. Solve 0 = -4*w - 0*w, -x - 5*w - y = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {d: 2, e: 3, n: 5, q: 2, r: 8}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37*t**4 + 983309*t**2 + 1048613219*t.\nAnswer: 444*t**2 + 1966618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23266972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -5*m + 104. Let t be p(20). Suppose -4*u = -4*c + t, -5*u + 5 = -3*c + 2. Solve -u*h + n = 14, 5*h + 0*h + 4*n = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 4 - (1 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 183 * 2.997.\nAnswer: 548.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-4) + (-9)\/2)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 14 = 9*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 8*r**2 - 21*r - 58. Let d be k(-8). Calculate the greatest common factor of d and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 748 = -4*s, 2*f - 192 = -s + 4*f. Let m = s - 104. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2981057 is divided by 1547.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -38801 divided by 241?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 5*k + 2292, 65*x = 60*x + 2*k + 2865. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 58*o + 77. Calculate w(3).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ujck when four letters picked without replacement from jkjppucrr.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 718*h - 722*h + 4*z = -4, 3*h - 4*z - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 10*y**2 + 5*y + 4. Let h be g(-9). What is the greatest common factor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*r**2 + 23799*r + 1062874?\nAnswer: 8*r + 23799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-12))**(-14)*(a\/a**(-14\/5))\/(a\/((a*a\/(a\/(a\/(((((a*a\/a**(6\/13))\/a*a)\/a)\/a)\/a)))*a*a)\/a*a)*a) assuming a is positive.\nAnswer: a**(11392\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2 + 73*g - 100. Give j(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o + 3. Let j(a) be the third derivative of -11*a**4\/24 + a**3\/6 + 2*a**2. What is the remainder when j(-3) is divided by w(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 5*f = 2*s - 425, -5*s = -3*f - 401. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649 is divided by 304?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/(r\/((r*r\/r**(-9\/2)*r)\/r*r)))))\/((r\/((r*r\/r**9*r)\/r))\/r))**(12\/13) assuming r is positive.\nAnswer: r**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72988 and 5019724?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 3:00 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h*h\/(h\/h**(3\/7)))\/h))**(4\/37))**(-45) assuming h is positive.\nAnswer: h**(540\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1490 + 1497. Solve 4*n - 2*n - 4*y = -22, -n + y = a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5097 times 0.1\nAnswer: -509.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5720996441289 and 1.\nAnswer: 1.5720996441289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11754 divided by 43?\nAnswer: 11754\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 3:17 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3 = 9. Let s = g + -6. Solve s*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2\/3 - 1481005*m\/3 - 1851250\/3.\nAnswer: -(m + 370250)*(4*m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -296 + 335. Suppose 5 = 2*l - 11. What is the remainder when u is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -221 - -238. Suppose 24 - 24 = -w*s. Solve 3*h + 6*h + 27 = s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 459 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.29389 + -1.87972. Round l to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-282)\/(-144) + 2 + (-15)\/3 and 151\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 910?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8393550 + 8393550 + 20*m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*(4\/(-24))\/((-3)\/9). Let v(n) = -n**s - 2022*n + 2022*n. Let b(d) = -d**2. Give v(b(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c + 6. Let y be h(5). Sort 2, y, -1.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1608599, -1608598, -1608597, -1608596, -1608595, -1608594?\nAnswer: -1608593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 121.82 + -123. Let p = 9 + -9.18. Let q = j - p. What is the second smallest value in -4\/7, q, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 20 = 4*r, 2 = -r - 2*v + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 4*p - 3. Let v(j) = -j**3 - 4*j**2 + 4*j - 1. Let n = 51 + -56. Let w be v(n). Calculate q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 1:02 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4 or -54\/2611?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w + 32. Let a(z) = 9*z. Determine a(t(u)).\nAnswer: 27*u + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -683832 - -683832.6. Let l = -508\/17 + 30. Which is the nearest to 2\/7?  (a) l  (b) -3  (c) -2  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5929, 6022, 6177, 6394, 6673, 7014, 7417?\n\"Answer: 31*q**2 + 5898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h + 6. Let d be g(1). Suppose 113 = i - d*c, -4*i + 5*c + 277 + 140 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 4:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4*x. Let a(c) = -5 + 8*c + 10 - 7*c + 3*c. Let j(w) = 2*w + 2. Let g(m) = -2*a(m) + 5*j(m). What is g(f(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atataaaataa. Give prob of sequence aaa.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 5061.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4314708 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: Suppose 12875 = 67*g - 44008. What are the prime factors of g?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -221 equal to -219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 + -36.5. Let g(i) = -3*i**3 + 19*i**2 + 14*i - 4. Let p be g(7). What is the third biggest value in m, p, 7, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358267 is divided by 1800.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(-6 - 1 + 25)*(2216*w + 7 - 4423*w + 2214*w).\nAnswer: 252*w + 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 69, -7\/2, -3\/2?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*m*z**4 - 7*m*z**3 + 349*m*z**2 + 9*z**5 wrt z.\nAnswer: -96*m*z - 42*m + 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w - 44 = -134. Suppose -276 = -3*q - 3*b, 0 = -2*q - 3*b + 6*b + 174. Calculate the greatest common factor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -z - 5*v, 4*z - 3*v + 6 = z. Let d(l) = 2*l**3 + 9*l**2 - 6*l - 3. Let c be d(z). Find the second derivative of -7*r**2 + 8*r + r + r - r**c wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 5*g - g)*(-89 + 43 + 39).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134348760.\nAnswer: 2, 3, 5, 7, 13, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, e: 1, d: 1, k: 2}. What is prob of sequence km?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 2. Let q(u) = u**3 + 6*u**2 - u - 4. Let t be q(-6). What is g in -1\/2*g**4 + 0*g**h + 0 + 0*g**t + 0*g + 1\/2*g**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2669843*z - 1 = 2669841*z, 0 = -5*h - 12*z - 93 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 168*k**2 - 2*k - 2. Let s be h(-2). Suppose 97 = 3*f - s. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((464\/(-70))\/8 - 10\/(-25)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1544 and 6136821.\nAnswer: 49094568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 13, 227, 2\/9?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1100*c - 4454*c + 18 + 3*c**3 - 4084*c - 5*c**3 + 399*c.\nAnswer: -2*c**3 - 7039*c + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*m + 195*m = 2172 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uah when three letters picked without replacement from {u: 6, j: 1, l: 1, a: 4, h: 2, o: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**3\/6 + q**2 - 2*q. Let z = 39 - 43. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 891453.6 nanoseconds in minutes?\nAnswer: 0.00001485756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (825\/60 + -13)\/(6\/20). Let q(u) be the first derivative of u**5 + 0*u**4 + 5 + 0*u**3 + x*u**2 + 0*u. Find the second derivative of q(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 4*l, -o + 0 = l + 1. Let h = -3 + 3. Let f = h + 0. Which is the closest to -1\/4?  (a) f  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*k + 5*i = -24, -3*k - 5*i - 6 = 0. Suppose k*r = 12537455 - 4347455. Round r to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -10, 2, 3 in descending order.\nAnswer: 3, 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7569911 is divided by 628.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r**2 - 6*r + 37. What is the remainder when v(13) is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*r - 4*s - 12, 2*r - 4 = 3*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 22, -70, -1, -3 in descending order.\nAnswer: 22, -1, -3, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*r**2 + 10*r**3 + 2*r**3 - 10*r**3 + 22*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 269515 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: Which is the second smallest value?  (a) 1.3  (b) 1\/8  (c) 0.1  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -160753453 rounded to the nearest one million?\nAnswer: -161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 34 = -m - k, k + 26 = 2*m. Let v = 19 + -14. Suppose 3*j + v*d - 4 = 6*j, -m = 4*j + 3*d. Sort -1\/4, -2, j in descending order.\nAnswer: -1\/4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 874, 881, 874, 847, 794, 709, 586, 419?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 100?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-26 - -16) + (0 - -104) is divided by 70.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1144490*u**2 - 2720306*u - 1.\nAnswer: -2288980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2224326, 4448656, 6672986, 8897316, 11121646, 13345976?\n\"Answer: 2224330*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 325, 771, 1439, 2353?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 14*c**2 + c + 12. Give q(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 5*t**8\/56 + t**4\/2 + 13*t**2\/2 - 19. Let i(u) be the second derivative of d(u). Find the second derivative of i(y) wrt y.\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -10. Calculate the common denominator of 81\/16 and 2\/h + 14\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 18, s: 2}. Give prob of picking 3 y and 1 s.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 254, 497, 718, 911, 1070, 1189, 1262, 1283?\n\"Answer: -z**3 - 5*z**2 + 265*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26844 - 23203 = -55*p - 1647*p - 10901 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/3)*o*o**0\/o)**(-48)\/(o**(-1\/9)\/(o**(-4)*o))**(6\/11) assuming o is positive.\nAnswer: o**(-580\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 27. Which is bigger: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 99 + -63. Let b = -31.7 + r. Let j = -11.8 + b. Round j to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**1)\/a**7)\/((a\/(a*a\/(a\/a**(-1\/3))))\/(a\/(a\/(a*a\/(a**2\/a))*a))))**15 assuming a is positive.\nAnswer: a**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - 6. Let j = 8.064 + w. Let c = -0.0593 + j. Round c to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 25. Let r = c - -31. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3)\/n*n*n)**(-22) assuming n is positive.\nAnswer: n**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/68688 and -163\/992160.\nAnswer: 8929440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98 - -102. Let u(z) = -z**3 + 5*z**2 - 3*z - 3. What is u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**4\/90 - m**3\/15 + 4*m**2\/15 - 2*m - 31. Factor n(p).\nAnswer: -2*(p - 1)*(p + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-15)\/25 - (-338)\/5.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 100*m + 129*m - 282*m to the form a + n*m and give n.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4925.6158 - 4925. What is t rounded to 2 decimal places?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -65, -66, -67, -68, -69?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1005.641028us in weeks?\nAnswer: 0.00000000166276625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, 1, 115, 0, -4\/3, -0.37, 0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -6891.6.\nAnswer: -2067.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10876 + -10810. Which is the closest to 10?  (a) 1  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -51897\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 0*w + 32. Is ((-730)\/w)\/((-2)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/1 - (1 + -3). Let j be m*(1 + (-1 - 1)). Is 2 + 0 + j + 19 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, y: 1, u: 3, l: 1, j: 5, m: 1}. What is prob of sequence mj?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.7 - -4.7. Let y = -2.032 + s. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 22 in decreasing order.\nAnswer: 22, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4733 - 5\nAnswer: -4738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5326*q**5 + 6090*q.\nAnswer: 106520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 32. Let z be 18\/(-5) - (-2)\/(-5). Let p(v) = -2*v + 3. Let m be p(3). Which is the nearest to 0.1?  (a) s  (b) m  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-20)*4\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + i - 2*i = -48, 2*f = -i + 32. Let q be 5 - 3 - (-15 - -5). Suppose 2*l - q = 4. Calculate the greatest common divisor of f and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3 = -z + 5, 10 = 4*y + 5*z. Suppose y = -13*w + 11*w + 10. Let a(l) = 2*l - 4. Determine a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g**3 + 55*g**2 + 12*g - 5. Give y(11).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2064, 8341, 18802, 33447, 52276, 75289, 102486?\n\"Answer: 2092*n**2 + n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3706644 to the power of 1\/2, to the nearest integer?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26 + 26. Suppose d = -p - 3*p + 80. Suppose 0 = 3*y - 7*y + 2*s + 228, -y + 57 = 5*s. What is the remainder when y is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 42.671 to 0 decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 469310 or 469316?\nAnswer: 469316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**3 - 3*c**2 + 22*c - 20. Let v be d(1). Let k(t) = 6*t**3 + 5*t**2 + 15*t + 7. Let r(h) = -7*h**3 - 6*h**2 - 16*h - 8. What is v*r(i) - 6*k(i)?\nAnswer: -i**3 - 10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4719578.5 days?\nAnswer: 674225.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 127006547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1281 + -888. Let u = w - 227. Let j = u - 92. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*w - 4*o, 0*w - w - 5*o = -16. Suppose -5*t + 0*t - 3*v - w = 0, 4*t + 8 = -4*v. Which is smaller: t or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 28545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**3 - 4*s**2 - s - 4. Let z be m(-4). Let a = z + -26. What is the remainder when a is divided by -1 + (495\/5)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5)*d**(3\/8))\/(d**(1\/2))**(48\/11) assuming d is positive.\nAnswer: d**(-599\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23706 and 275211.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 4. Let i be s(0). Let n = -62 - -110. Suppose y - n = 4*b, -i = -y - b + 24. Calculate the remainder when y is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1100*b - 265617 = -5656*b - 147986 + 155729 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g**3 - 13*g**2 + 8*g - 87. What is the tens digit of a(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72 - 44 + 42)*(1 + 3 + 2)*(2*x - x + 2*x) + 2*x - x + 0*x.\nAnswer: -1331*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/8 + ((-1020)\/8 - -4). Calculate the remainder when -30*((-13)\/5 + 1) is divided by m\/(-5) + (-11)\/(-55).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 280*i**3 + 11*i**2 - 2*i + 7. Suppose -31*c + 32*c - 9 = 0. Let k be r(c). What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 620 = 4*y, -4*l = 4*y + 76 + 384. Let t be 3\/(-9)*l\/5. Solve 5*g = -t - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42*u**4 + 916 + 132*u + 923 + 202*u**4 - 1838 + 102*u**4 wrt u.\nAnswer: 3144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 58 = 2*g + 7*y, -26*y + 31*y - 62 = 3*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4901 in 4\/11, -34, -0.5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 95 and 4978?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 136553853*k**3*y - 2*k**3 - 70813929*y wrt k.\nAnswer: 409661559*k**2*y - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 10:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+-1074676906.17\nAnswer: -1074676905.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 362, -419, -2526, -6619, -13358?\nAnswer: -23403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 8 = 4*q. Let o be (-1)\/(4\/(-352)) + q. Suppose 0 = -4*l - 4*g + 114 + 230, -4*g + o = l. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -189?  (a) -4  (b) 22  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**19\/p**(-15)*p**(6\/17)\/p*p*p*p**(7\/4) assuming p is positive.\nAnswer: p**(2523\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8241 and 65727?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b**2 + 43*b - 45*b - 1 + 5*b**2. Let w(a) = a**3 - 4*a**2 - 3*a - 6. Let y be w(5). Let t be s(y). Solve 2*d = -5*u - t, -1 = 4*u + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u*u**3*u))\/u*u*(u**(1\/4)*u)\/u*u\/u**(2\/19)*u**10 assuming u is positive.\nAnswer: u**(467\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -2823137.\nAnswer: 12\/2823137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1287*f + 4743*f - 564*f.\nAnswer: 5466*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 0, -4, 2, -87.\nAnswer: -87, -4, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*l**2 - 8*l**2 + 22*l**2 + 25*l**2 to d + u*l + c*l**2 and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5*g**2 - 6*g**2 + 0*g**2)*(5 + 0 - 3) + g**2 - 4*g + 4*g)*(-16 + 16 - 4*g) + 0*g**3 + g**3 + 0*g**3 to u*g**2 + d + l*g + k*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (4\/2)\/(-14)*(-2289)\/545\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2. Suppose 76*n + 96 = 88*n. Let k(r) = 1 - 6*r + n + 1 + 8*r. What is k(q(x))?\nAnswer: -6*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2142*g - 729 = -2223*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29940 and 905145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12.1 in 10, -14, 0.4, 5, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 39, -0.3, -1\/21 in decreasing order.\nAnswer: 39, -1\/21, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 129*v**3 + 168*v**2 - 223738*v?\nAnswer: 774*v + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*(-744)\/(-192))\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1))**(-23)\/(x\/(x*x**2)*x\/(x\/(x*x*x\/(x**(-5)\/x*x)))) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 463938982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((54\/24)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m + 7. Let c(v) = v + 3. Let s(i) = 10*c(i) - 4*f(i). Let g be 6\/(-15) + 48\/20. Let a be s(g). Let y(j) = -j**2 - 2*j - 3. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000334 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -218083, -218084, -218085, -218086?\n\"Answer: -k - 218082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, z: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 570855.4g in kilograms?\nAnswer: 570.8554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23430 is divided by 4681?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 4 - (4 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 8*p - 5 + 9 + (1 - 5 + 2)*(3*p - 3*p + 2*p) - 2*p + 0*p + 3*p - 2*p + 2 - 2 as n + s*p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xllxxxxxlxxxlxdlxl. Give prob of sequence dl.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5048270.100079 - 5048282. Let j = -10.8 + 22.7. Let c = v + j. What is c rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w*w**(-2\/5)))**47 assuming w is positive.\nAnswer: w**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002337771 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.2 - -0.2. Let g be (-81)\/135*(-10 + 0). Suppose 0 = g*v - 1 - 5. Is x at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -7, 6, 23, 44, 69?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -149179 - -8950523\/60. Let u = v - 2\/15. What is the common denominator of u and -38\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2007164518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2\/3))\/w**(-2\/19)*((w*w*w*(w*w**(-1))\/w)\/w*w)**(-47))**38 assuming w is positive.\nAnswer: w**(-10514\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15364529 to the nearest integer?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 518, 1\/9, 1\/2, 7, -21?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25 by -76.\nAnswer: 25\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -6156*z**2 - 2 + z + 4 + 6157*z**2. Let f(p) = 31*p**4 + 2*p**2 + 2*p - 94. Let m(h) = f(h) - 2*y(h). Differentiate m(q) wrt q.\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and -166.\nAnswer: -165.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t + 20. Calculate the common denominator of -20\/11 and y(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -918941422*c**2*k**3 + 4769*c**2*k - 65*c**2 + 84*c*k**2 - 2*k**2 wrt k.\nAnswer: -5513648532*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2143886461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {c: 5, y: 2, k: 1, w: 1, a: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/5))**(2\/39)*(u**(1\/3))**(-33))**(-1\/3) assuming u is positive.\nAnswer: u**(2147\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-45)\/50)\/(12\/10). Let z = 25\/12 + -7\/3. Which is the closest to z?  (a) 2  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*h**2 - 2*h**3 - 23*h**2)*(0*h - h + 6*h)*(-7 - 2 - 2) + (h + 3*h - 6*h)*(h**3 + 4*h**3 - 3*h**3).\nAnswer: 106*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3562344096 and 35428?\nAnswer: 3562308668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/13  (b) 4  (c) 3\/8  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*h**4 + 20*h**3 - 64*h**2 + 16*h.\nAnswer: 4*h*(h - 1)*(h + 2)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 468413 is divided by 1960.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -470, -3\/2 in descending order.\nAnswer: 1, -3\/2, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 6:52 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 900, 1, 2, -131 in ascending order.\nAnswer: -131, 1, 2, 900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -5*f + 22. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**5 - k**5 - 8*k**5)*(-2 - 2 + 3 + 1 + 0 + 1 - 3 - 2 + 6 + (-2 - 2 + 3)*(-3 + 2 + 3) + 4 + 2 - 4 + 0 + 3 - 2).\nAnswer: -42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {k: 3, g: 2, p: 2, t: 1, h: 3, f: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.267+-0.8274\nAnswer: -1.0944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/58140 and 91\/1710.\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 119465819 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 40103261 divided by -1\nAnswer: -40103261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/132 and -67\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 11, -3\/2, -404.\nAnswer: -404, -3\/2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -17, -59, -129, -233?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 53155176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54733 or 54409?\nAnswer: 54409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + -1)*(-1 + 14729\/(-26)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6509 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -160 - -68. Let d be (-414)\/(-9) + -41 - 8. Sort 1, d, v in decreasing order.\nAnswer: 1, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -333, -290, -243, -192, -137?\n\"Answer: 2*n**2 + 37*n - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.6 - -3.3. Let d be 4\/14 - (-9)\/(-105). Which is the nearest to -3?  (a) f  (b) d  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2*((2 + sqrt(162) + -4 - sqrt(162)) + 4) + -3)*5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f - 3. Suppose t = -3*u + 121, -4*u + 5*t = 40 - 195. Suppose -o + 5*o = -u. Let i be 15\/o*16\/(-6). What is c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 r when three letters picked without replacement from {x: 2, r: 1, s: 5, m: 4, n: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3636 - 3641. Solve s = c*j - 0*j - 9, -2*s = -5*j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/2326?\nAnswer: -1\/2326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -19 + 20 - 91*b**2 + 92*b**2 - b + 22 + b**3. What is the tens digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*q - 231*q = 4284 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0424 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**3 - 8*o**3 + 0*o**3)*(-409*o + 410*o + 3*o**2 - o**2).\nAnswer: -18*o**5 - 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-4) + (-7*(-45)\/84 - 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6074821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 83*t - 15355. What is x(185)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 3*i + 1. Let u(v) = -v - 8. Let x be u(-6). What is the units digit of d(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - (-54)\/(-15))\/(1\/5). Suppose 0 = -3*t - m*c + 86, 2*c = -5*t + 3*c + 165. Solve -4*i - 4*v = t, 5*v + 6 = 2*i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*l + 402785 + 745820 = -29*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -1466323.\nAnswer: 4398969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + m = 51. Suppose 4*b + 5 - m = 0. Find the third derivative of -b*n**6 + 6*n**6 - n**6 - n**2 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -0.5, 18, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 0.0523809?\nAnswer: 0.0523809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 - -244. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -428 + 428. Let d(v) = v**3 - v - 12. Give d(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/24*1020\/952.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/5 + (-48)\/(-80). Suppose -3*w + k = 3. Solve -w*y = 2*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 35*c**2 - 200*c + 170. What is z(11)?\nAnswer: 2205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*k*y**3 - 212257*k*y**2 + k*y + 12694778*y**3 wrt k?\nAnswer: 4*y**3 - 212257*y**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5690 is divided by 2205?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)*-2*-6 - 1*sqrt(612)*-5.\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 283769 - 155988. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 - 88*p**2 - 105*p + 679. Let w be v(45). Let m = -18 + 26. Solve -5*i + 4*r - 8 - m = 0, 0 = w*i + 2*r + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221 - 1?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-20)\/(-352)))\/(74*16\/1480)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 15. Let l = 9 + o. Let g = 1.9 - -0.1. What is the closest to 0.2 in 0.1, g, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1188 - 1186. What is the greatest common divisor of h and 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/224 and 115\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -10\/913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -33891781, -67783583, -101675385, -135567187?\n\"Answer: -33891802*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*c**2 + 241*c**2 + 155*c**2 - 692*c**2 + 148*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7\/4, 5, 0.062, -5?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.31408 - -0.2306. Round j to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i + 12. What is the least common multiple of 40 and u(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3024479.\nAnswer: 1223, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 71.7304um?\nAnswer: 0.00717304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (88\/(-176))\/((-2*3\/60)\/1). Let x(l) be the third derivative of -3\/2*l**4 + 18*l**3 + 1\/20*l**o + 0 - 14*l**2 + 0*l. What is b in x(b) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011036645 plus -1.38392?\nAnswer: -1.394956645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q**2. Let i(j) = 4*j + 2 - 8*j - 2. What is n(i(l))?\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14606, 14604, 14602?\n\"Answer: -2*t + 14608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 4*w + 3. Let h be r(-4). Suppose -252 + 96 = -h*d. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (792\/(-4))\/((-3)\/(-2) - 3). What is the highest common factor of a and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 1, 11, -3, -15 in increasing order.\nAnswer: -15, -8, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 - 3*k + 4. Let n be d(-3). Suppose -5*c - l - 5 = 0, -5*l - 26 + 1 = 0. Factor -2*r - 6*r**3 + 4*r**2 + n*r + c*r.\nAnswer: -2*r*(r - 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -14*h - 110. Let b be (-432561)\/720 + 2\/h. Let l = b + 601. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - 39\/(-15))\/((-5)\/(-125)). Let w = r - 6. Let u(a) = 2*a**2 - 12*a + 4. Is u(w) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(288) + sqrt(288)*4*4 - sqrt(288)) + sqrt(288) + sqrt(288) - (2 + sqrt(288) + 1))**2 + -5)*-1.\nAnswer: -83236 + 1224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d. Let p(n) = -n. Let j(s) = -2*m(s) - 9*p(s). Let y(a) = 3*a. Determine j(y(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -24 + -7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8190 and 30796220?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zajzzajjazzazjjajzj. Give prob of sequence ajz.\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 735 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14537, 14649, 14765, 14885, 15009?\nAnswer: 15137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11212937 and 1334?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 756102430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**6\/30 + m**5\/20 - m**4\/12 + 19*m**2. Let q = -4 + 6. Let t(i) = 13*i**3 - 10*i**2 + 7*i. What is q*t(x) + 7*k(x)?\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98685 and 50?\nAnswer: 986850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 126 + -3?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -0.1  (b) 4  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.118 and 2.\nAnswer: -6.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43\/3 + -12. Factor -4\/3*v**2 + 4*v**3 + 0 + q*v**4 + 0*v.\nAnswer: v**2*(v + 2)*(7*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1694 (base 12) to base 9\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -620*w**2 + 1455*w**2 + w + 1389*w**2 + 2259*w**2.\nAnswer: 4483*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 6\/19  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 2 = -17. Suppose -k + 8 + 10 = 2*j, 5*j + x*k = 45. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-12)*(-4 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7301 + 7298.5984. Round x to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15\/4 + 89\/28. Put -5, p, 227 in decreasing order.\nAnswer: 227, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*t = -10026 + 11454 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 8, 4, 0, -4, -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, 16222, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 98 and 252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of a**2\/2 - 11*a - 3. Let o be s(12). Let h be o\/4*2*24. What is the highest common factor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15 + 2aa9?\nAnswer: 2ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40666*g**2 + 40675*g**2 + 15*g**3 - 81341*g**2.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*n + 19, 6*n - 2*n - 5*x = -1. Let f(z) = 12*z + 30. Let d be f(-2). Solve -3*p - p - 2*l - n = 0, -2*p = 2*l + d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(19*(-24)\/(-912))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 5*w - 5. Let x(l) = -l - 1. Let a(r) = -j(r) - x(r). Let o = 16 - 13. Suppose -5 = o*q - 4*q. Determine a(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27606108.\nAnswer: 2, 3, 47, 48947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - -105. Suppose -r*n - 145 = -114*n. Solve n = 3*g + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 828657121 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 10*d + 3 = 14*d, 0 = 2*x - 4*d - 6. Suppose 6*f = 5*f - c + 1, 2*f + x*c = -3. Solve -32 + 2 = f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 1420 in descending order.\nAnswer: 1420, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1613\/((39\/(-6))\/1). Let i = -248 - o. What is the nearest to 0.3 in 2, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 16*s**2 + 351*s - 42. Give g(12).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of j + 5 + 123 + 15 + 28 - 43*j wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -15, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/4*2\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6022, 6021, 6020, 6019, 6018?\nAnswer: 6017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1808029 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 17 + 17 - -18 - (-4 - 1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18.144 + -18. Let i = a + -0.044. Let q be ((-3)\/24)\/(1\/2). What is the smallest value in i, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*u = 117*u + 686. Suppose 9*i + 31 - u = 0. Solve -4*s = -i*n - 10, -4*s = s + 4*n - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -83*u**2 + 9*u + 48. Let r(x) = -85*x**2 + 8*x + 41. Calculate 6*c(p) - 7*r(p).\nAnswer: 97*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -143324103 (base 5) to base 15.\nAnswer: -1007d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-180)\/(-75) + (-14)\/35. Solve 4*j + 2*z + s*z = -28, 8 = j - 4*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.5 - 5. Let b = -5815 - -5816.5017. Let f = b - n. Round f to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 10*r - 12*r. Suppose 3*w = 2*c - 201, 0*w = 5*w + 15. What is the highest common divisor of c and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 2*s**2 - s. Let i be q(1). Suppose -10 = -i*r + 4. What is the remainder when r is divided by ((-4)\/(-4) - 5) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -317734.72 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/50 and 109\/8180.\nAnswer: 40900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-8) + 3 + 54\/(-8). What are the prime factors of 305*g\/(-16) - (-2)\/(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h + 3*h**2 + h - 2 - 3*h - 5*h. Is 15 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 220633 - 1541822\/7. Let u = l + -373. Which is the closest to u?  (a) 1\/4  (b) -5  (c) -7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 11, 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 a, and 1 j when four letters picked without replacement from {a: 6, j: 4, x: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 43*g**3 - g**2 + 2*g. Let c(d) = d**2 - 2*d. Give -3*c(a) - 3*y(a).\nAnswer: -129*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 17\/(-85) + 22\/10. Suppose 3*m + k*a - 4 = 0, 5*m + a - 4 = 12. Suppose 2*t - x = 5*t - 6, -4 = -2*t - m*x. Solve 7 = t*b + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -5*r + 44, 6*r = 5*r + 4*i + 18. Let m = -14 + r. Suppose -1 - 2 = -u + 2*y, 2*y = -5*u + 27. Sort m, u, 4 in descending order.\nAnswer: u, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 113\/23 + 5 + (-1243)\/253?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/2288 and 7\/242.\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*y**3 + 1944364*y**2 + y - 62301073.\nAnswer: -24*y**2 + 3888728*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 82023964 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the third root of 783942 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 5*i + 6 = 13, u + 3*i = -11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -a - 4*a. Let g(f) = f**3 - 273*f**2 - 1968*f - 54. Let h be g(-7). Solve 2*i = l + 3, h*i = 3*l + a - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 10605 = 6144. Suppose 4*y + j = 6*y - h, 3*y - 2790 = h. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3896 - 3900. Let h = -1.8 + 2. Which is the fourth smallest value?  (a) h  (b) -11\/3  (c) 5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*((sqrt(256) - (sqrt(256) + sqrt(256)*2)) + sqrt(256)))\/(3*sqrt(1152)*-1))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 276, 454, 644, 852, 1084, 1346?\n\"Answer: v**3 + 171*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 2*n**2 + 140*n + 34. Let c be y(-33). Is c equal to 62\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -1\/2*x**2 - 1\/4*x**3 + 1\/2 + 1\/4*x = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/2)\/(13\/(-26))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c**3 - 2*c**2 + 38*c + 15. Let a(m) = m**3 + m**2 - 13*m - 5. Suppose 11*x + 6*x = 68. Let v(r) = x*d(r) + 11*a(r). Factor v(t).\nAnswer: -(t - 5)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -8\/9, 9, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -69, -1\/6, -2, 3, 0.4, 9\/245 in descending order.\nAnswer: 3, 0.4, 9\/245, -1\/6, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 12*a**2 - 9*a + 0*a**2 - a**3 + 22*a. Let f be n(13). Solve f + 2\/5*z**2 - 2*z**4 - 2\/5*z + 4\/5*z**5 + 6\/5*z**3 = 0 for z.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**5\/3 + 366*q**4 + 50500*q**3\/3 - 32011600*q**2\/3 - 97240000*q + 323680000\/3 = 0.\nAnswer: -340, -10, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*v = 87. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121 * 2.3963\nAnswer: 289.9523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-12*10\/80)\/21\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 PM and 10:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 20*k - 608. Determine y(28).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12602064 + -4489984. Let h = -8112080.60000145 + k. Let p = 0.6 + h. Round p to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 182, -2, -4, 4 in increasing order.\nAnswer: -4, -2, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**(-25)*s\/s**(1\/10)*s*s\/(s\/(s\/(s\/(s\/(s\/s**(-2\/13))))))*s)\/((s*s*s*s**(-3\/5))\/(s*s**(-1\/2)))**(-28) assuming s is positive.\nAnswer: s**(25069\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**12*j*j)\/(j**(-14)\/j))**(-25))**(-9\/5) assuming j is positive.\nAnswer: j**1350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zplzktlzlcllk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n + 12. Let b be z(8). Let d = 22 - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9434832 divided by -857712.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 1\/2, -35 in descending order.\nAnswer: 1\/2, -19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2. Let l(q) = 206*q - 18. Let x(b) = 1442*b - 132. Let a(h) = -44*l(h) + 6*x(h). Determine a(o(j)).\nAnswer: -412*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/19 in -0.1, 1\/2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19914 + -19918. Let i(p) = p**2 + 28*p + 87. What is i(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*i + 129*i + 72*i - 1672 = 0. Let v(p) = -6*p**3 + 11*p**2 - 6*p - 11. Let k = 3 + -1. Let s(d) = d**3 - 2*d**2 + d + 2. Determine i*s(z) + k*v(z).\nAnswer: -z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68 + 68 + 4*k**2)*(4*k - 5*k + 1 + 4*k).\nAnswer: 12*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-33)\/(-162))\/((-5)\/15))\/(((-6290)\/(-272))\/(-185)).\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 3 = -150. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(2*sqrt(480) - sqrt(480)))\/sqrt(8))\/(-2*(sqrt(192) - sqrt(12))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 36*l - 122. Let y be b(3). Calculate the remainder when ((-668)\/(-12))\/(1\/3) is divided by (-462)\/y + 2 + -7.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h + 18. What is b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 + 21*f + 10. Let r be t(-10). Suppose 2*a - 3 - 1 = r. Suppose 0 = -a*m + 14 - 4, -2*m + 48 = g. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 43, 0, 4, -46 in ascending order.\nAnswer: -46, 0, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 9*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 0*d**2 + 0*d**4 - d - 1\/60*d**5 - 1\/126*d**7 + 0 + 1\/45*d**6 + 0*d**3. Let j(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**5\/60 + a**4\/12 + a**3\/2 - 3*a**2. Let h be f(-2). Suppose 0 = -h*y + 322 + 125. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (622*f - 13597 + 13597)*(-3 + 4 - 3)*(-5*f + 2*f + f) to the form d + p*f + y*f**2 and give y.\nAnswer: 2488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383 is divided by 145?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 27*r = -24*r - 15, -v + 3*r - 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214 = 30*z - 34 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -0.2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5745.188 millilitres in litres?\nAnswer: 5.745188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.13 - -0.13. Let t = -25 + 24.9. What is the third biggest value in g, t, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 8. Suppose -32 = -w*y + 4*s - s, 0 = y - 3*s - 16. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 2\/9, 15400, -3, 0.009, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 279 - 279. Suppose 6*c - 151 - 3575 = g. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - 45.5. Let y = 47.6 + i. Which is the nearest to y?  (a) -2\/3  (b) 1.7  (c) 0.1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r - 2. Suppose -100 = -5*w + 20. Suppose -d = -w + 6. Let b(z) = 13*z + 9. Determine d*j(h) + 4*b(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 759?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -692223 or 1\/2?\nAnswer: -692223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3548 is divided by 327.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12156?\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2*a - 4)*(0*a**2 - a**2 + 3*a**2) + (-a + 6*a - 3*a)*(6*a**2 - 4*a**2 - 3*a + 6*a) in the form d*a**3 + q + v*a**2 + r*a and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -97318 + -6?\nAnswer: -97323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmmmmmfkmmmpmfkm. What is prob of picking 1 c, 1 k, and 1 f?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/24581 and -27\/1046.\nAnswer: 49162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-16)\/(-20))\/((-8)\/(-220)). Suppose -4*f - d + 8 = -3*o, 12 = -o - 2*f. Let m be 7\/o + 3 + 0. Which is the closest to m?  (a) 1\/4  (b) -2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a - 2*a - 2*a)*(0 - 4 + 2 + (-1 - 1 + 1)*(1 + 2 - 1))*(7 - 1 + 12) as p + r*a and give r.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**3 - 11*t**2 + 8*t - 17. Let y be r(5). Let p be y\/(-4)*(14 - (-325)\/(-26)). What is the third smallest value in 1\/22, p, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 5*r**2 - 6*r - 6. Let d be q(-4). Solve 0 = 3*b - 0*t + d*t + 25, 4*b = 5*t + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 5 + 7 - 38523*k + 816*k**2 + 38520*k.\nAnswer: 816*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 2) + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 613079.\nAnswer: 307, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - m = 4*m - 22, 5*g - 2*m - 5 = 0. Let b be 558\/(-14) + g\/(-21). Let k = b + 44. Solve -3*u + 3 = -3*z, 4*z - 11 = k*u - 3*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*c + 63*c - 125*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11933841749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2711597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246670859.\nAnswer: 2897, 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**3 + 1230 - 1230 - 19*r**2 as p*r + s*r**2 + m + y*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 - 1. Let g(a) = a**2 + 2. Let h(x) = -2*g(x) - 3*i(x). Let c(q) = -5 + 0 + 2*q**2 + 3. Let j(v) = 5*c(v) - 8*h(v). Solve j(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**5 - 39700191*f**4 + 131342037569409*f**3 + 394026350909403*f**2 + 394026430309800*f + 131342156670000 = 0 for f.\nAnswer: -1, 6616700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 252*s + 271. What is the tens digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91935.42 hours in milliseconds?\nAnswer: 330967512000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-9) - (-265)\/795\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.18 - 0.18. Let h = i - -2. What is the smallest value in 0.6, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 133907\/15 + -8921. Find the common denominator of s and (-21)\/(-14) + (-59)\/24*-2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.1 - 1.1. Let i = -12 + k. Let w = 3728 + -3728.19. Which is the second biggest value?  (a) 2\/7  (b) w  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 3*z = -4, -32*l + 4*z + 8 = -34*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2231*u + 2050*u + 1561*u + 0 + 0 as q*u + x and give q.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*w - 4*w - 34*w - 36*w.\nAnswer: -55*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4938 + 11.\nAnswer: 11.4938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ugmmagmggggggomu. Give prob of sequence gga.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25434 and 72.\nAnswer: 101736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 47860620*g**2*w**2 + 2771*w**2 - 107*w + 14 wrt g.\nAnswer: 95721240*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i**4\/6 - 3*i**3\/2 + 5*i**2 - 13*i. Let b be l(-7). Is 10 a factor of (b\/(-10))\/(-5) + (-618)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**7\/2520 + s**6\/90 - 7*s**5\/120 - 3*s**4\/2 - 40*s**2. Let o(w) be the second derivative of h(w). What is o(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-11)\/3 - -2)*-3. Let q be -2*8\/30*72\/(-96)*-1. Let y = -116 - -119. Sort y, q, t, 0.3 in ascending order.\nAnswer: q, 0.3, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -77*p**2*v + 360796548*p**2 + 79625*v with respect to v.\nAnswer: -77*p**2 + 79625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 k when four letters picked without replacement from akyklkalalalasaakakk.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {i: 1, y: 2, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s - 4 + 37 = 0. Let v be ((-4)\/s)\/((-16)\/240). Solve -t = 4*t + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -49 - -101. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**2\/5 - 414*y\/5 - 416\/5 = 0?\nAnswer: -1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m. Suppose -79 = -7*z + 47. Suppose 0 = -2*l - 2*g - z, 0 = -2*l - 0*g + 4*g. What is v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**5\/9 + 5764*g**4\/3 - 11534*g**3 + 17304*g**2.\nAnswer: 2*g**2*(g - 3)**2*(g + 8652)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 2.20569?\nAnswer: -2.30569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 200*q**2 - q - 9. Let g be o(-3). Let y = 3503 - g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -50 + 80 = -46*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 35018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3066862 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**3 + 5*z**2 + 3. Let x be u(-3). Let n = 36 + x. What is the highest common divisor of 17 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 14 = -2*v, -32*v + 30*v - 6 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/21 and (-2)\/(-198) - (-7 + 5 + 2).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -874, -0.038479, 0.5 in descending order.\nAnswer: 0.5, -0.038479, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5747 - 5743. Let g = 2.1 - 2. What is the nearest to 2 in z, g, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 946832.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*6*(-2*(sqrt(285)\/sqrt(5))\/sqrt(3) - sqrt(228)\/(sqrt(12) - (sqrt(12) + sqrt(12)*-3)*-2))*-3.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -86 - (-18 + (-49896)\/280) - 12\/10?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17 + 7 + 36)*(-s + s + 7*s)*(0 - 2 + 0) to w + h*s and give h.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-10))**(2\/39)\/(g*g**(-11)*g*g\/(g\/(g\/(g**(-12)*g)))) assuming g is positive.\nAnswer: g**(-137\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1441 + s**2 + 1300 + 2077 + s**3.\nAnswer: s**3 + s**2 + 4818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**3 - 2381940*n**2*u - n*u - 237*n + 1116 wrt n.\nAnswer: 6*n - 4763880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6*(-4 + 5))\/(((-216)\/(-448))\/(-9)). Which is smaller: 16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/10837, -1\/2, 2, -5?\nAnswer: 2\/10837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of r**5\/270 - r**4\/108 - r**2\/2 - r. Let p(g) be the first derivative of l(g). Factor p(f).\nAnswer: 2*f*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/3 + 8\/12. What is the second derivative of -3*r + r**4 - d*r + 2*r + r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3213735754 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - -2*sqrt(77))*-3 - 5*sqrt(77)*2)\/((sqrt(63)*-2*-4)\/sqrt(9)) + 2.\nAnswer: -19*sqrt(11)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1299?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 - -2.0999. Round y to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 5*i**3 - 5*i**2 + 127*i - 4. Is a(8) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/2, 2\/5, -1, -17\/117, 0, -0.0119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -226*z**4 - 123*z + 2025*z**3 - 1015*z**3 - 1010*z**3 wrt z.\nAnswer: -2712*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6723418289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from yeeboepoy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is 101733233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 26194 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 11:30 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2803578?\nAnswer: 2, 3, 31, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18427.96 + -18954. Round j to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92216?\nAnswer: 2, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 37854 and 719226?\nAnswer: 719226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**2 + 3772*f - 1778498 = 0. Calculate f.\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, o: 7, m: 2}. What is prob of sequence koom?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000551707 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t + 4. Let h be c(-4). Let p = h - 12. Solve p*v + 0*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14214\/54487*(-8)\/(-6).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f + 9. Let n be w(-2). Find the second derivative of -16*h**n + 7*h - 26*h - 9*h wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4 - 8 = -4*p, 2*c + 3*p - 9 = 0. Suppose c = v - 4 + 62. Let z = v + 85. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25 + 28. Solve -2*o - a = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -51*d**3 + d**2 - d. Let m be l(1). Calculate the common denominator of 3 + 0 + 66\/m and -37\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*l = 20*l - 101*l + 1092 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (38*(-1)\/(-4))\/(20\/600)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*f - 268 = 74. Solve u - 3*u + 5*k = -f, -u - k = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/11?  (a) -1  (b) 0  (c) 17  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/(-1368))\/((-58)\/25346). Factor -2 + k*q - 10\/3*q**2.\nAnswer: -(q - 2)*(10*q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n + 11*n + 3*n = -198 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 0 + -1 + 1. Suppose -4*t = 3*t. Is t <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, -4, 1.78, 1, -28, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 5:28 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 1)*(-1)\/2*-1. Let u(v) = -2*v**4 - 22*v**2 + 8*v + 6. Let n(b) = -b**3 + b**2 + 1. Let s(h) = c*u(h) - 10*n(h). Suppose s(t) = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1351*i - 1379*i - 101010 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 93*h**2 + 420*h - 1271. Give c(3).\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4341677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6710 and 57706?\nAnswer: 288530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 - -22?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -383\/500 + 2\/125. Let w = -1\/12 - -1\/3. Suppose -2*a + 3*b = -10, -2*a - b - 3 = -13. What is the nearest to w in a, -1\/8, m?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18685*h - 6168*h + 97*h - 2 + 2 + (4*h - h + h)*(-1 + 0 + 3) + 2*h + 2*h - 5*h to the form p*h + o and give p.\nAnswer: -24749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from feeseeeesheeahehehhf. What is prob of picking 1 f, 1 e, and 2 s?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 1:58 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12035539\/1751412 - 5\/44908. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*q, 0 = n + 3*n - 3*q - 14. Suppose 4*b - 30 = n*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 17 - (1 - (3 + -8)) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 12*n**2 - 14*n - 12. Let r be i(-11). Solve 0 = 3*b + r - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -405 + 405 + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16177422 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and -39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 3*n**2 - n + 8. Let j be b(4). Let z be (2 + 0)*(-30)\/j. Let 18*d**2 + 0*d**4 - 18*d**3 - 3*d - 2*d**4 - 2*d + 6*d**z + d = 0. Calculate d.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7260 and 8591.\nAnswer: 515460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 136468128?\nAnswer: 136468128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9\/(-60)*(-30)\/12 + 157625\/40?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11375074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4.2*-55\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*d = -117*d + 99*d - 1416 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + f - 1. Let g(m) = -m**3 + 10*m**2 - 9*m + 7. Let s(x) = g(x) + 6*u(x). Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11767 + 11766. Let i = -0.3 + -0.1. What is the nearest to c in -2, i, 50?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35886 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d + 21. Let p be k(-19). Suppose -2*h = h - p*y - 6, 0 = -5*y. Solve -h*j - 5 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/(-42))\/(2\/3)*224\/(12320\/4125)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {z: 4, y: 1, s: 9, d: 4, c: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**3 + 5*k**2 - 2. Let v be x(-4). Let a(q) = 3*q**2 + 10*q + 7. Let g be a(-7). Let h = v + g. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.6 + 0.4. Let x = -16 - -16.3. Let u = x - 0.2. Which is the nearest to u?  (a) 3\/5  (b) w  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-422)\/(-2532)*(2 - 8\/(-5)). Sort d, 73, 3 in decreasing order.\nAnswer: 73, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341742?\nAnswer: 2, 3, 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 57718.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 12, -0.1, -4, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0) + 50\/40*4. Solve 0 = 2*k + k - 3*o - 3, o = -p*k + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -12*a. Let w(f) = f**2 + 1223*f + 33. Give n(w(q)).\nAnswer: -12*q**2 - 14676*q - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -381\/176230 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2472 divided by -6.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-21)\/(-20) - (-20)\/750*-30. What is the closest to 3 in -2\/15, 0.4, d, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(99)*2 - (-2 + sqrt(99) + -4))**2.\nAnswer: 324*sqrt(11) + 8055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h + 0*h - 6861*h**2 + 5 - 5*h.\nAnswer: -6861*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -12*m + 37. Let x(q) = q + 7. Determine -r(n) + 6*x(n).\nAnswer: 18*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 3\/4, -601, 4\/3 in decreasing order.\nAnswer: 4\/3, 3\/4, -0.5, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) 3  (c) -1\/5  (d) 109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38462529?\nAnswer: 3, 7, 1063, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7164625 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 210, 849, 1914, 3405, 5322, 7665, 10434?\nAnswer: 13629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 799804?\nAnswer: 2, 59, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5189*d = 1490*d - 1609*d + 198626 + 196834 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 63\/(-28) + (-588)\/(-240)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 4*t - 11, 0 = -5*h + 4*t - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 15) to base 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 357719236?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 54*x - 138*x + 2 + 55*x with respect to x.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 15, 90, 245, 498, 867, 1370?\n\"Answer: 3*h**3 + 22*h**2 - 12*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -10*q + 14. Let i(m) = -m. Suppose 0 = -5*h + 8*h - 9. Let u(t) = h*i(t) - d(t). Is u(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rzzrrrrrrzrrrzrz. Give prob of picking 2 r and 1 z.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 132111 + -1?\nAnswer: 132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3326*c**5 - 1432*c**2 wrt c?\nAnswer: -199560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-1 + sqrt(475))*-5 + sqrt(475) + sqrt(475))**2 - (sqrt(133)\/(sqrt(7)*1) + 0 + sqrt(2736)).\nAnswer: -163*sqrt(19) + 4295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 746 = 3*x, 0 = 4*x + k - 4*k - 1002. Suppose -331*o + 335*o - x = 0. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 74 - 436. Let n = 547 + r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 7*q + 11. Let m be w(8). Let n = 203 - m. What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151 = 225*f + 1276 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 1, v: 3, l: 6, b: 4, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -457.1221?\nAnswer: -456.1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 14 = -0*n. Suppose 0 = c - n*c. Suppose 3*x = -0*x. Solve f - 5*w + 26 = c, x*w + 28 = -3*f + 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**3 + 430*m**2 - 46225*m = 0. What is m?\nAnswer: 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y = 4*t - 2, 10 = 2*t. Let h be y\/9 + 17\/(-3). Let k(m) = m - 5. Calculate k(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 8*z**2 + 8*z - 2. Let g be n(6). Let c = g - -36. Solve l - a = a, 0 = -5*a - c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8187 - 8064. What is the remainder when 1848 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of r**8\/840 - r**7\/105 + r**6\/36 - r**5\/30 - 2*r**3\/3 - 6*r**2. Let d(y) be the first derivative of c(y). Factor d(u).\nAnswer: 2*u*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - x)*(x + x - x) - 1 + 1 + 3*x**2 + (1 + 5 - 2)*(x - 3 + 3)*(-5*x + 14*x - x) to v + o*x + w*x**2 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.01  (b) -6  (c) 5  (d) -8\/3  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**2 - 96474*d - 96476 = 0.\nAnswer: -1, 48238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q - 6 = 0. Let d be (27\/(-900))\/((-1)\/28). Let c = 6\/25 - d. Is c not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 440*t - 6089. Let p be q(20). Solve -2648 = 7*r - p for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82959917 is divided by 20739974.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13\/3*3*1. Let a be (-2)\/12 - x\/(-6). Suppose 0*d - 1 = d + 4*q, -3 = -d - a*q. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1398 by -3.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*j = 38 + 85. Let c(r) be the second derivative of 0 + 1\/2*r**4 + 14*r**j - 16*r - 12*r**2 - 21\/20*r**5. Factor c(l).\nAnswer: -3*(l - 2)*(l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/(-10))\/(-18)*-20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 0 - -5 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 539 = 453. Let y = k - -94. Let s be (-4)\/6*(-54)\/y. Which is the nearest to -0.3?  (a) 1\/4  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -368 or -366?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(-4*l - 3*l**3 + 4*l) + (2 - 2 - 3)*(-3*l**3 + 4*l**3 - 3*l**3) - 3*l**3 + 3*l**3 + 5*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 119  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j**2 + 3*j + 2. Let w(c) = 6*c**2 + 4*c + 2. Let p = 555 + -560. What is p*l(h) + 4*w(h)?\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -2*t - 24, 3*a - 38 = -8*t + 10*t. Let r be (-48)\/60*(a\/12 + -2). What is the smallest value in 2\/7, 4, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 616231465?\nAnswer: 5, 19, 6486647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 390318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oonognogogcocnoo. What is prob of sequence co?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15*75\/(10 + -5). Suppose 2*c = 421 + s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.296334 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2379 and 306525?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78216.\nAnswer: 2, 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15715 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 8*c + 9. What is q(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1077017\/3 or 359007?\nAnswer: 359007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.77 - -2.77. What is the second smallest value in -4, -3\/8, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*t + 8*t - 11*t)*((-t - 3 + 3)*(0*t + t - 2*t) - t + t**2 + t) to the form i + u*t**2 + z*t + y*t**3 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163*j + 1951 = 8391 + 12631. Let k = 29 - 8. Calculate the remainder when j is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/3)\/((12\/3)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-762)\/36*(-18)\/(-4)*1316\/987.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {o: 6, r: 1, z: 4, u: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ycwwcycc. What is prob of sequence yc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111, -168, -225, -282, -339, -396?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 50*l - 1871. What is m(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 14*a**3 + 2*a**2 + 3. Let y(m) = 60*m**3 + 9*m**2 + 13. Let x(v) = -9*d(v) + 2*y(v). Calculate x(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -385*y = 254*y - 15975 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -25*h - 47. Let v(s) = 124*s + 234. Let l(r) = -11*n(r) - 2*v(r). Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*180\/(-80)*-5*4\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*n + 2*j + 61, 9*n + 3*j - 95796 = -95901 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 6:59 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 18 = 3*p, p = -i + 4*p + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74000 is divided by 232.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1548076469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 6*g - 576. Let v = -57 + g. Solve 0 = -5*z - v - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 6*y - 33. What is the smallest common multiple of 16 and s(7)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-15))\/(((-156)\/90)\/13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 5*t + 10, 2*z + 2 = t - 4*t. Suppose 4*v - z*v + 2 = 0. Factor -6 - 4*b**3 + 15*b - 3*b**3 - v*b**3 + 12*b**2.\nAnswer: -3*(b - 2)*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -809134 divided by 16\nAnswer: -404567\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458557557?\nAnswer: 3, 61, 2505779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -1, 4, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -55.5 + 56. Let z = t + -8.5. Let y = 3.2 + 1.8. Which is the nearest to -0.1?  (a) y  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 48  (c) 13  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 14620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 465646817, 931293637, 1396940457, 1862587277, 2328234097?\nAnswer: 2793880917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 at least -353\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, l: 2, h: 1}. What is prob of picking 1 j and 2 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4360*q**2 - 4062*q**2 + 7329*q**2.\nAnswer: -1093*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 738\/(-4))\/((-5)\/70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {y: 6, h: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 1339 - 796 = 0. Suppose -u - 187 = -3*x. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 30021202?\nAnswer: 30021204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 * -29\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 11:49 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3973*m**3 - 136*m**2 - 3960*m**3 + 16*m**2 + 12773*m wrt m.\nAnswer: 78*m - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*x = -20. Solve 0 = 5*g - 6 - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 165 - 0.1\nAnswer: 164.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -420*l + 18632794 = 4561114. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/6*-6 + 0. Let d(q) = 2*q - 7. Let n be d(2). Let l(v) = 4*v - 7. Let f(y) = 7*y - 16. Let k(r) = n*f(r) + 5*l(r). What is k(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 6:56 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23250*h**2*j + 294443*h**2 wrt j?\nAnswer: -23250*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 3353 = 2*c - 3345 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20474 is divided by 9155?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**4 + 2*b - 2*b + (-b**4 - b**4 + 0*b**4)*(1 - 1 - 2) - 2*b**3 + 2*b**3 + 2*b**4 + 0*b**4 - 5*b**4 + 0*b**4.\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 6*x**2 - 1. Let j(v) = v + 19. Let u be j(-17). Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 155851 + -155848. Factor 2\/9*j**f + 20\/9 + 16\/9*j**2 + 34\/9*j.\nAnswer: 2*(j + 1)*(j + 2)*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -5 - (10 - 18) - (-9 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 - 3) - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -59800 + -7.\nAnswer: -59807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(26)\/sqrt(2) - (5 + -3 + sqrt(13)))**2 - (-3*(sqrt(832) + 1 + sqrt(832) - sqrt(13))**2 + -2).\nAnswer: 114*sqrt(13) + 9252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 1, 26, 2\/3 in increasing order.\nAnswer: -2, 0, 2\/3, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 8, v: 1, z: 2, b: 1, t: 1}. Give prob of sequence zs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 534954 and 4356054.\nAnswer: 30492378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 556292.\nAnswer: -278146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -2*h - 5*o, -1573*o + 1569*o + 18 = 2*h - 8*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 201 = -5*k. Suppose k = 5*n + 232. Let g = 6427 - 6461. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {f: 2, x: 8, k: 1, j: 1, t: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**8)\/t)\/t)**(27\/5) assuming t is positive.\nAnswer: t**(-243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*g + 15, -2*p + 2*g = 3*p + 30. Let i = -5 - p. Find the first derivative of i - 6 - 2*b**2 + 1 wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -87 - -92. What is the smallest common multiple of 195 and l?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 4)*(0 + 3*j + 0) + 3 + 2*j - 3.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 19 = -d, -y + 5*d = -2*y - 19. Solve 3*f = -4*c - 2, 5*f + 0*c + y = -4*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*k**4*v**2*y - 62*k**3*y**2 + 2*k**2*v**2*y - 4*k**2*v**2 + 112*k**2*y**2 wrt k?\nAnswer: 720*k*v**2*y - 372*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119, -215, -333, -485, -683?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2003505 + -3?\nAnswer: -2003512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 4, x: 1, n: 1, h: 2, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -61886880.6 - -67372071. Let h = g - 5485185.8000081. Let b = 4.6 - h. What is b rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmmzvmvmmmvhz. What is prob of sequence mzh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*v = -172*v - 522. What is the remainder when 343 is divided by v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 12*g - 11*g + 25 = 0, 4*g = 3*t - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -523 + 531. Calculate the remainder when 26 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -100.762 - 0.238. Let r = p + 128.6. Let m = r - 25. Round m to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 + 16*v**2 + 27*v - 7. Calculate p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4 - 13*v + 4665*v**2 - 4663*v**2 - 5*v. Give y(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4) + sqrt(400)*2)\/(sqrt(8)*2).\nAnswer: 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-4*d - d + 2*d)*(1 - 1 + 3*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from zsasssssbszzzasszz?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((u*u**(-12\/7))\/u)\/u**(-3\/2))**41)**(-4\/25))**21 assuming u is positive.\nAnswer: u**(738\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 996.7888 weeks?\nAnswer: 6977.5216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -178*o - 60. Let t(u) = -210*u - 61. Give -4*t(l) + 5*y(l).\nAnswer: -50*l - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53.8706cm to kilometers.\nAnswer: 0.000538706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 4*v - v)*(2*v**4 + v - v) - 2*v**5 - 3*v**5 + 4*v**5 - 2*v**5 + 2*v**5 - v**5 + 3*v**5 + 6*v**3 - 6*v**3 + (4 - 4 + 2*v**5)*(4 + 1 - 3).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-3 + sqrt(15))\/(sqrt(30)\/(sqrt(50)\/sqrt(5))) - ((-3 + sqrt(405) + sqrt(405) + (sqrt(405)*3 - sqrt(405)))**2 + -3).\nAnswer: -6486 + 214*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otmbl. What is prob of sequence ol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/15*11125\/(-267)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 51 - 54. Let s(r) be the second derivative of 4*r**3\/3 - 2*r**2 - 56*r + 1. Let d(a) = -23*a + 11. What is c*d(j) - 8*s(j)?\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 248723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i - i - i)*(330*i - 650*i - 6*i**3 + 318*i - 185).\nAnswer: 12*i**4 + 4*i**2 + 370*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/12)\/(3\/8). Suppose 0 = -3*c + z*c + 27. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1978 and 28552?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 10:16 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 52*t**2 - 673*t - 40. Determine n(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3190 + 4886. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4492*g = w + 4482*g + 26, 2*w - 2*g - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-9)*((-24)\/(-16))\/((1240\/16)\/(-31))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 766765?\nAnswer: 5, 153353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 2*q - 18 = 0, -b + 6*b = -4*q - 10. Let d be -3 + 1 + (b - -3). Let s = d + -1. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 + -68. Which is the fourth smallest value?  (a) o  (b) 2  (c) -14  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-156*36\/(-2808))\/(((-18)\/243)\/(8\/3))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -8*w**3 - 80*w**2 + w + 14. Give g(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -257 + 239. Let h = 144 - 101. Let b = h + o. Sort b, 0.5, -2\/5 in decreasing order.\nAnswer: b, 0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67936?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**2*l*m + 3*i**2*l*p - 128*i**2 - i*l - 12195*l*m*p + 14*l*m - 8*l - 59*p with respect to p.\nAnswer: 3*i**2*l - 12195*l*m - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282850 is divided by 2994?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1)**(-1\/46)\/(o**(2\/5))**(-7) assuming o is positive.\nAnswer: o**(639\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssppsssppssppsspppsp. What is prob of picking 2 p?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 968946098 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 136\/(-1)*(-10)\/20. Suppose -949 = -4*v - 0*j + j, 5*v = -j + 1193. Calculate the greatest common divisor of h and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d + 1. Let u(k) = -9*k**2 + 8*k - 11. Let o(b) = -6*s(b) - u(b). List the prime factors of o(-4).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2444440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 21484, -8, 4 in decreasing order.\nAnswer: 21484, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35964 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 19625.\nAnswer: 176625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 5 + 4*u**2 + (2*u + u - u)*(-4 + 4 - 2*u) + 0*u**2 - 5*u**2 + 2*u**2 to w + r*u**2 + h*u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7999.5 + 7999.5055107. What is i rounded to 5 decimal places?\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 1:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1225520 (base 9) to base 6\nAnswer: -22142413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s + 10. Give b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -107070 to the nearest one thousand.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - 13*v**2 + 11*v - 7. Let t be d(-14). Let p = -50 + t. Let i be (0 + 6)\/((-10)\/p). Solve -4*u - 5*c - i = 0, 4*u - 4 - 2 = -2*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a + 3. Let p(s) = -s**2 + 6*s - 3. Let x be p(6). Let k(g) = g + 2. Let b(u) = x*m(u) + 4*k(u). Let h(f) = 10*f - 10. What is -18*b(n) + 2*h(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -5*g - 8. Let o = -291 + 286. Give l(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28*v**3*w**3*z + 8*v**3*w*z**2 + 23*v**2*w*z**2 - 5*v*w**3 - 3*v*w*z**2 wrt v.\nAnswer: -168*w**3*z + 48*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6965 bigger than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.3921 rounded to one dp?\nAnswer: 66.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8766 + 8771. Which is the fourth smallest value?  (a) -5  (b) t  (c) -2  (d) -10\/11  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 474439, 948868, 1423297?\n\"Answer: 474429*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(448)*-1 + 0 + 0 + (1 + sqrt(448))*-4 + (-3*-1*sqrt(448) - sqrt(448)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 3 - 5)*((2*k + 1 - 1)*(0 + 0 - 1) + 1 - k - 1 - 1 - 2*k + 1) to p*k + r and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 4*v = -3*c + 8, -2*c = 0. Suppose 2*x - 19 = 9*n - 4*n, v*n = x - 8. Solve 0 = -x*h + h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*x - 128, 2*x = k + 2*k - 184. Suppose 2*p + b + 5 = 45, 3*p + b = k. Let w be 18\/15 - p\/(-25). Solve w*i = -2*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 12838  (b) 0.1  (c) 5  (d) -3\/13  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 5*x, -3*h + x = -2*x - 30. Suppose 2*i + 7*c = 2*c - 12, h*i = 4*c + 36. Suppose 2*y + 67 = t, i*t - 65 = 3*t + y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196822038?\nAnswer: 2, 3, 7, 31, 151169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*o + 0)*(-2523 + 290*o + 60*o + 2523) in the form l*o**2 + j + q*o and give l.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f**2 + 3*f**2 + f**2)*(f + 0*f + 0*f) - 1 - 36*f + f**3 + 36*f to the form j + d*f**2 + y*f**3 + u*f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21 + -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44927 + -44920. Let q(n) be the third derivative of 1\/60*n**5 - 5\/6*n**3 + 0 + 2*n - 2\/35*n**p + 0*n**4 + 5*n**2 + 0*n**6. Differentiate q(r) wrt r.\nAnswer: -48*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 3:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -543 - -0.05?\nAnswer: -542.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 - 466*v - 219. Let f(z) = 4*z**3 + 932*z + 439. Let j(t) = 6*f(t) + 11*r(t). Find the first derivative of j(u) wrt u.\nAnswer: 6*u**2 + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*y + 99*y = -2*n + 23, 5*n = 4*y + 47. Suppose -103 = -5*k + 192. Calculate the remainder when k is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112574797 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4558536840124 - -1.1\nAnswer: -4558536840122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(88)*-6)\/(sqrt(16)\/(1*sqrt(2))) + -1 + 3.\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -251*w - 148. Let h be s(-5). Suppose 27*v - h = 18*v. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (43 - 10) - (-1 + (1 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23216 and 1488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4*j - 3)*(-10*j + 78*j + 133*j)*(2*j + 1 - 1) to i*j**2 + t*j + k + y*j**3 and give y.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 46*t**2 - 89*t - 225. Let b be z(48). Let j = -136 + 269. Let q = b - j. Is q <= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5043*d = 5033*d + 630. Calculate the highest common factor of 1953 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 + 89*b**2 + 25*b - 1377. What is the hundreds digit of r(86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 + 0 - (5 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*2*-2)\/((sqrt(165)\/sqrt(5))\/sqrt(3)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3 + s - 2*s + 2*s. Let a be n(0). Suppose 0 = 6*w - a*w - 219. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93438232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + c - v + 2, -4*c = -2*v + 14. Sort 7, 2, 4, c in decreasing order.\nAnswer: 7, 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f - f + f)*(-3 + 7*f + 3).\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -418 times 56\nAnswer: -23408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 80068.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.949096673 rounded to 4 dps?\nAnswer: 2.9491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -113*g**4 + 23*g**5 + 113*g**4 + (g**4 - g**4 - g**4)*(-4*g - g + 0*g) - 3*g**5 + 2*g**5 + 0*g**5.\nAnswer: 27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -1 + (0 - -3). Let q = -2 + y. Solve -12 = -q*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-131860)\/(-80) - (-4)\/(-16). Calculate the highest common factor of 2678 and h.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*w**2 + 8*w**2 - 11*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -3*p**4\/8 + 213*p**3\/8 + 1377*p**2\/8 + 723*p\/8 - 1155\/4 = 0.\nAnswer: -5, -2, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 297*k**3 - 3*k**2 + 17*k - 33. Let g be i(2). Calculate the highest common factor of 43 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*g**3 - 18*g**3 + 59*g**3 - 19*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 15) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p - 10. Let d(m) = -m**3 - 8*m**2 - 8*m - 2. Let v be d(-7). Let k = -2 - v. Let b(c) = -2*c + 7. Let u(h) = k*b(h) - 5*x(h). Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 6:07 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 3:42 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 9168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 45*f - 2497. Let d be k(88). Do 1461 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 + 67. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63901 (base 12) to base 13\nAnswer: -47770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k\/k**(1\/22))))\/k*k\/(k*k\/(k**(-1)\/k))*(k*k\/(k**(-2\/33)\/k*k))**(-35) assuming k is positive.\nAnswer: k**(-451\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -g**8\/15960 - g**7\/1140 - g**6\/285 - 257*g**3\/3 + 275. Let l(v) be the third derivative of k(v). Factor l(w).\nAnswer: -2*w**2*(w + 3)*(w + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 + 8)\/(-2*(-15)\/(-10)). Which is the closest to 1?  (a) -1\/3  (b) -19  (c) -5  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 2*f**2 + 3*f + 3. Let h(m) = 15*m**2 + 7*m + 6. Let n be h(-2). Let w be 1*8*n\/(-208). Give p(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/1*-10*(-18)\/720\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (66\/165)\/((-93)\/(-45) - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 6:25 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6845, 6554, 6265, 5978, 5693, 5410, 5129?\nAnswer: 4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 - 70\/16)\/3. Put -0.5, -0.1, r in decreasing order.\nAnswer: -0.1, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 630 a factor of 1240249237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 5*i + 3*i + 3*r + 11 = i, -50 = 4*i + 2*r for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 501, 1028, 1555, 2082, 2609?\nAnswer: 3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -580.3 - -580.2. Let b = 17 - 22.4. Let x = 0.4 + b. What is the closest to s in -1\/3, -0.5, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2 - 608*y.\nAnswer: -4*y*(y + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/119380 and 79\/35814.\nAnswer: 358140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d15 (base 16) in base 14?\nAnswer: -29db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 139172376 by 3313628.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*u**3 - 4*u**6 - 3*u**6 + 12*u**3 - 133*u**2 + 5*u**6 - 17*u**3 wrt u.\nAnswer: -240*u**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-713)\/23)\/((-372)\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25692 - 23077 = -363*t + 1592 - 3171 for t.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 3 + 2*p + 0*p)*(2*p**2 + p - p).\nAnswer: -2*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 951 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 341328 divided by 6.\nAnswer: 56888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8025655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5063 + 5?\nAnswer: -5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*y**2 + y**2 + 41 + 159 + y.\nAnswer: -12*y**2 + y + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 214 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z + 29 + 25. Let d(v) = 2 - 2 + 14*v**2 - z*v**2. Let j(b) = -2*b. Calculate d(j(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1c (base 16) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -8*l - 746. Let q be h(-97). Solve q = 74*x - 59*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27 + 31. Let b be (-2030)\/(-5)*m\/(-8). What is b rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 732134767 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 211109 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 102*w - 2467. What is b(41)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 8*q - 2*p + 2, -5*q + 46 = -13*p + 4*p + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -1. Let r = 3 - f. Let l = -8 - -7. Which is the second biggest value?  (a) l  (b) 0.5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**5 + 48*b**4 + 4*b**3*n - 3*b**3 - 8646*b**2 - 2*n wrt b.\nAnswer: -60*b**2 + 1152*b + 24*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 189802092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212 - 1565 = 171*j - 409 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -566\/2629 + 8\/239. Suppose -2*z + 2 = -38. Suppose -5*n - z = 0, -q - n - 4 = -3*q. Put p, q, 2 in ascending order.\nAnswer: p, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**2 + 15*t - 18. What is the units digit of c(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**2 + 18*x - 3. What is the remainder when 82 is divided by n(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 - 3*g**3 + 0*g**3 + 5*g**3 + 13*g**2 as o*g**2 + h*g**3 + f + j*g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-16)*17528\/1565\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 1 - 45\/3. Let o be 4\/(-3) + 8\/z. Does 9 divide 5*(2 + (o - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-4))\/(1635\/150420).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -320340 + -2?\nAnswer: -320342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48)\/(sqrt(6)*-4)*3 + (-3*((sqrt(14) - (sqrt(56)\/sqrt(4) - sqrt(14)))\/sqrt(7) + 4))**2.\nAnswer: 141*sqrt(2)\/2 + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.78357328 rounded to three dps?\nAnswer: 0.784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49116779.\nAnswer: 49116779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -142\/297 + 8\/27. Let y = 631\/4466 - 1\/203. Let d = 17\/44 - y. What is the closest to -0.1 in 0, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 14 = 2*h, -4*a - a - 43 = 3*h. Suppose -43 = 5*g - 138. Let z = a + g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 10*z**2 - 40*z - 5. What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -12*w**3 + w**2 - w - 2. Let v(k) = -5*k - 49. Let o be v(-11). Suppose 0 = 14*x - 20*x - o. Does 12 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.8594  (b) -8  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/6*(4000\/(-1600))\/(1\/((-12)\/5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g - 2. Let n(h) = 61*h - 69. Let b(l) = n(l) - 6*x(l). List the prime factors of b(4).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4603000 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80208.6kg to grams.\nAnswer: 80208600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 - 51. Is 77 + -3 + -4 + t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 70, 258, 572, 1012, 1578?\n\"Answer: 63*n**2 - n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-15 - -29 - 50)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/92 and -25\/28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 534921.\nAnswer: 3, 178307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 6*q**2 - 5*q + 7. Let k(f) = f**2 + f - 1. Let i(d) = -6*k(d) - v(d). Let l be i(-1). Solve 2*h + l = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 11:53 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 40*x**2 - 488*x + 108. What is c(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6312 is divided by 6279?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4569 + -29?\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7081826359 to the power of 1\/4, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -62*o**2 - 15. Let h(z) = -22*z**2 - 5. Let u(a) = 4*d(a) - 11*h(a). Let i(n) = n. Determine i(u(x)).\nAnswer: -6*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28991 is divided by 1525.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 2*j**2 + 248*j - 756. Determine u(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10490 by -2098.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -77 - -93. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/20*-4 - (-7746)\/(-80). Let r = -185\/2 - s. What is the common denominator of -21\/16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = s + 2*x, -22*s + 3*x - 18 = -20*s. Let d(a) = -a**3 - 4*a**2 - a - 1. Give d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 8*u**2 + 83. Determine v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104 + 112. Suppose 4*c - 17 = l, -i = l - c - 0*c. What is the second biggest value in -0.4, 2\/21, 5\/7, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11873, -26430, -41025, -55652, -70305, -84978, -99665, -114360?\nAnswer: -129057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2144619 hours in days?\nAnswer: 0.0089359125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j - 2580 = -35*j + 165. Solve -4*s + 8 = 4*k, k + 14 = -j*s + 40*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 - -107. List the prime factors of (-328)\/y - (-16)\/60*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1bb40 + 52c?\nAnswer: -1b611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 47356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2 - 4 = 0. Suppose 3*t + 28 = 3*a + a, 12 = 3*t. Let h = a + m. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90*c**3 + 31*c - 9*c + 91*c**3)*(-3*c - 6*c + c).\nAnswer: -8*c**4 - 176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 629 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4*1\/9)\/((-263)\/(3283029\/219))?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 8 - 4. Let m be (p\/(-36))\/(-1) - (-2211)\/18. Let x be (1*-2192)\/(-5 - m\/(-25)). What is x rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 768 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 - 38. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19 and 14 - 0 - (-33 + 9)\/(-8).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 32015 - 32017.34425. What is j rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, o: 2}. Give prob of picking 1 i and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03591 take away 0.09?\nAnswer: -0.05409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.016849 to 4 decimal places.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 (base 10) in base 11?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2725.44 litres to millilitres.\nAnswer: 2725440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, h: 7, k: 2}. What is prob of sequence klh?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2324900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**4\/5 + 2474*o**3\/5 - 94884*o**2\/5 - 197194*o\/5 - 19967 = 0.\nAnswer: -1, 41, 2435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1587, -3392, -5339, -7500, -9947, -12752?\nAnswer: -15987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 34*k**2 - 1. Let d be q(1). Let p = d + -15. What is the lowest common multiple of 12 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43\/(-10664)*-186*(-160)\/27.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*x - 73*x - 28 = -2*c, 5*c - 28 = 3*x. What is the smallest common multiple of c and 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 80 = -t. Let p = -656203\/13 - -50397. Let y = t - p. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 2*a + 2. What is i(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*z + 2261 = 18*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010 - -10000100101111111?\nAnswer: 10000100110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 25*s = -50, 5*y + 217*s - 215*s - 119 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/6*-3)\/(22\/33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 18 = -2*x. Suppose 0 = 2*a - 5*c - 24, 2*c - 36 = -3*a - c. What is the highest common factor of a and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -17 - 3*l**2 + 43326*l + 4*l**2 - 43347*l. Let p be m(22). Solve 5*g + 10 = -p*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/8, -26\/69, -3\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + -15. Let m = -315 + 313. What is the biggest value in m, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*l + 94*l + 2375 = 42*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -519*t = -502*t - 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34336 and 2146.\nAnswer: 34336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001748871146 rounded to 7 dps?\nAnswer: -0.0001749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 880 by 8.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 206383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52969055 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 795 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: What is -0.69947 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8371.122 and -15162.6.\nAnswer: -6791.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 4 = -i. Suppose u + 11 = 42. Suppose d + 4*s = -u, 0 = 5*d + 6*s - s + 95. Do i and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + -27. Put -3, 28, 0, c in ascending order.\nAnswer: c, -3, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/64*-18)\/(12\/(-8))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 16. Is ((-298)\/8)\/((-2)\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 329 = -4*y, 4*y - s + 2*s - 333 = 0. Suppose -42 = -3*z + z. Calculate the remainder when y is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2550 = 315. Let c(t) = t**2 - 447*t + j*t. Let g(f) = f + 1. Let l(m) = 8*m + 3. Let o(n) = 6*g(n) - 2*l(n). Determine c(o(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*c = 1635 - 2291 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c*c**(-2\/9)))\/(c\/c**5)*(c**(-1)\/c)**(-3)*(c\/(c*(c*c**(2\/3)\/c)\/c))**34*c**(1\/6)*(c**(-3\/7)\/c)\/c*c assuming c is positive.\nAnswer: c**(2683\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 1103551?\nAnswer: 1103554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -151 - -155. Let p(t) = t + 10. Let u be p(-7). Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 76677?\nAnswer: 383385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -26 + -5 + 102 + -58\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 5, -2*g + 3*g - 7 = a. Let z(p) = -p**2 + 4*p + 16. Let u be z(g). Solve -5*d - u*q - 4 = -d, -3*d + 7 = -2*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d - 2*d - 2*d**2 + (2*d + 0 + 0)*(3 - 8*d - 3).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1415020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17231083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/345 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**3 - 34*c**2 - c + 23. Let n be o(17). Solve f = -8*f + n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -456 - -473. Solve i + 2*f - a = -2*i, 4*i + 5*f = 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = 3*v, 5*r = v + r - 20. Solve 5*b - 20 = -v*z, -2*b + 4*z - 1 - 19 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*v - 10 - 6 = 0, c - 4 = 5*v. Suppose 5*p = -4*m - 333, -c*p - 4*m - 268 = -0*m. Let r = p - -65. Solve -2*n = -r*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*s - 361 - 4*s + 11*s + 45 - 349 as w*s + d and give d.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -14\/3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 37*z - 1308. Let o be d(48). What is the highest common divisor of 2691 and o?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47935, -94712, -139185, -180202, -216611?\nAnswer: -247260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 5, -12, -35, -64, -99, -140?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20.211195 and 0.4.\nAnswer: 8.084478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 10*m - h + 98 = 0, 4*h = 4*m - 368. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.7 + 2.8. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -69, 5, -9662 in decreasing order.\nAnswer: 5, -69, -9662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54917 or 54916?\nAnswer: 54916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 0*s. Suppose -5*x - 2*l = -25, 17 = -x - s*x + 4*l. Solve x*c = c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k + 172 - 32. Solve 0*f + p = -3*f + k, -4*f + 4*p = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4621*o + 9182*o + 1 - 4643*o)*(4*o - o - 2*o) - 3*o**2 + 2*o**2 + 0*o**2.\nAnswer: -83*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*v - 22862 = 28618. List the prime factors of v.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9914.34878 to the nearest 10.\nAnswer: 9910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-21)\/(-15))\/(4 + -5). Is 0.1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 17*r + 16*r + 17*r - 49*r + 6.\nAnswer: r + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/13 + 28656078*u**2\/13 - 286560930*u\/13 + 716402450\/13.\nAnswer: 2*(u - 5)**2*(u + 14328049)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2546202 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49800.31 weeks to minutes.\nAnswer: 501987124.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3194.3941611 + -3189.8142. Let v = s - 0.5799613. Let a = 4 - v. Round a to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + -5. Let f = t + -6. Suppose f = r + r. What is the greatest common divisor of r and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/29, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 - 509?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 98 = -6*d. Let x = 48 + d. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)\/(2*sqrt(12))*1)\/((sqrt(16)*2)\/sqrt(8) - -2*(sqrt(2) - sqrt(18))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(51\/(-6) - 36\/27*-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -158, -1484, -5096, -12140, -23762, -41108, -65324?\nAnswer: -97556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 4*l = -5*c + 25, -10 = -4*c + l. Put 2, -6, -4, c in decreasing order.\nAnswer: c, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h\/h**(2\/13)))\/h)\/(h**(-11)*h)*h**(2\/13)*h\/(h*h**(-3\/4)))**(-1\/2) assuming h is positive.\nAnswer: h**(-523\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4999774 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -23\/36, -3 in ascending order.\nAnswer: -3, -23\/36, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 466 + -470. Which is the second biggest value?  (a) -0.04  (b) r  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -93*q**4 - 2*q + 3*q - 3*q - 14*q**5 + 207*q**2 + 75*q**4 - 30*q**5 wrt q.\nAnswer: -2640*q**2 - 432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (416\/160)\/((-27)\/3 - (-1677)\/215).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l - 2*l - 3*l + (8*l + 16*l + 45*l)*(3 - 4 - 1).\nAnswer: -145*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.5132 + 0.3132. Which is the second biggest value?  (a) 1  (b) -1  (c) l  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-2*(1 + (sqrt(160) + 6*sqrt(160))\/(sqrt(98)*-3 - sqrt(2))).\nAnswer: -4 + 56*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 69*u + 45. Let v(j) = 17*j + 11. Let m(g) = 26*v(g) - 6*x(g). Let r be m(-3). Let o = 142 + r. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.061 and 20?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 3*h**2 - 4*h**2 - 21 - 2 to v*h**2 + q*h + s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2196 + 3724. What is the remainder when g is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*l + 12*l - 312 = 0. Calculate the common denominator of 61\/77 and (l - 0)\/2 - (-77064)\/(-13566).\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 392035670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 2  (b) 3\/7  (c) -374504  (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.6 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 585 - 280. Suppose l + 4*l = -x. Let b = l - -166. Calculate the greatest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 934085, 932662, 931239, 929816, 928393?\nAnswer: 926970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 + 28. Let o(b) = 2*b**2 - 6*b - 7. Let x be o(g). Let d = x + -28. Calculate the remainder when 83 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - a - 6. Let z be t(4). Suppose -z*o = o - 196. Calculate the least common multiple of 18 and o.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 2*k + 25. Suppose -3*g + 10 = m - 4, 0 = -5*m - k. Let x = 140.6 + -141. Put g, x, 0.1 in decreasing order.\nAnswer: g, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of f**5\/30 - f**2. Let k(z) be the third derivative of -z**4\/12 + 6*z**2. Determine o(k(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 220509468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5 = w, 3*y = -0 + 3. Put 4, 1, w, -19 in decreasing order.\nAnswer: 4, 1, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**5\/15 + 2*q**4\/3 - 64*q**2\/3 - 256*q\/3 - 154. Suppose a(h) = 0. Calculate h.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*u = -13*u + 961 - 381 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (547 + 554 - 1099 + 17*g + 881*g**4)*(-1 + 5 - 3) to l + f*g**2 + a*g**4 + i*g + c*g**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/25 + 16*b**4\/25 + 446*b**3\/25 + 148*b**2\/5 - 48*b = 0. Calculate b.\nAnswer: -10, -3, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17338.\nAnswer: 2, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of r**5\/20 - 5*r**4\/4 - 17*r**3\/6 - 29*r**2\/2 - 106*r + 8. Calculate g(16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 11\/3 + 12\/(-18) + -3. Suppose -4*i + 21 = 5*h, 5*i + o*h - 42 = -h. Suppose -2*v + i = d, -4*v + 0*v - 27 = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -501*i + 5. Let v be u(-1). Let g = 1143 - v. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 5*q - 3*q**2 - 2*q - 402 + 4*q**2.\nAnswer: q**2 + q - 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, u: 1, l: 2, j: 14}. Give prob of picking 1 u and 2 j.\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 374 + 214. Let i = 97 + -136. Let k = i - p. Solve 0 = -3*h - k + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 4, l: 4, t: 8}. What is prob of picking 4 t?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*i = -56 - 55, -r + 59 = i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -188, -417, -640, -851, -1044?\n\"Answer: s**3 - 3*s**2 - 227*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(168)\/sqrt(16))\/(4*(sqrt(6) + sqrt(12)\/sqrt(2))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - i + (6*i - 4*i - 3*i)*(-5 + 2 - 5).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 4.42. Let g = -0.08 + t. What is the nearest to -1 in -4, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2954260 or 2954255?\nAnswer: 2954255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19689553 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3 = 5*h + 2, -3*p = 3*h - 9. Suppose 0 = -0*m - m + 48. Calculate the least common multiple of p and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - p - 5*p)*(2 + 3 - 3)*(-6*p**2 + 0*p**2 + 4*p**2).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.048 * -14156124.\nAnswer: 679493.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -30 - 23?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.101544994 - -312?\nAnswer: 312.101544994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*g = 34*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12007 times 2?\nAnswer: 24014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42100 - 1?\nAnswer: -42101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -60411 - 10?\nAnswer: -60421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2001\/4*m + 153 + 39\/4*m**2.\nAnswer: 3*(m + 51)*(13*m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217*c = -203*c - 9338. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -240 - -240. Solve 11*a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 39*a + 15 = 44*a, -7 = -s - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -734*u + 730*u + 4*d, 0 = -4*u - 5*d - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3dc1b (base 14) to base 11.\nAnswer: -a51a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 36*a + 9. Let r(p) = 18*p + 5. Let s(w) = 7*r(w) - 4*u(w). Calculate the remainder when s(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 10) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5934953.\nAnswer: 5934953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -15*z**3 + 15*z**2 - 10*z. Let r(i) = i**3 - i. What is q(s) - 10*r(s)?\nAnswer: -25*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 2, 0, 1 in descending order.\nAnswer: 4, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f + 2. Let l(o) = -3*o - 1. Let h = 575 + -591. Let d(m) = 5*m + 82. Let b be d(h). Determine b*n(k) + 3*l(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (241*u - 517*u - 385*u)*(5*u**2 - 5*u**2 + u**4).\nAnswer: -661*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 2*v - 25, 50 = -28*s + 21*s + 3*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 31\/10 - (11 - 8). Let o(q) be the third derivative of 0 + 0*q + q**2 + 1\/12*q**4 + 1\/168*q**8 + 2\/15*q**5 + 4\/105*q**7 + s*q**6 + 0*q**3. Factor o(c).\nAnswer: 2*c*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, e: 4, v: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-366)\/2928*136\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 147 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -926676 by 6.\nAnswer: -154446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 12:19 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6454207 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 + 1 - 1)*(-2 + 2*z + 2) + 1 + 3*z**4 - 1.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 - 6\/2 - 3) + 4. Let k be 2 - ((-1 - y)\/4)\/1. What is the first derivative of -2*a**4 + 167*a**k + 13 - 167*a**3 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 5 = d, -11*d = -14*g - 9*d - 32 + 90 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 417121162.\nAnswer: 2, 208560581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*y - 4 = -18*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 264724130 and 582393086?\nAnswer: 2911965430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3729 is divided by 77.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 109738.4km?\nAnswer: 10973840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 3, 2, 0.282, -4?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 5*k**2 - 2*k. Let g be i(4). Let y be (-2)\/(-9) + (-301)\/(-63). Suppose g*z - y = 3*z. 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 (46\/18 - -2) + (-4)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -96, -94, -92?\n\"Answer: 2*z - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 565223, 565240, 565259, 565280, 565303?\n\"Answer: c**2 + 14*c + 565208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7630 + 16546?\nAnswer: 26376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 73660?\nAnswer: 662940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2760 - 2760. Factor 1\/3*g**2 + 1\/3*g + b.\nAnswer: g*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1631\/44 + -149\/4. Which is the third biggest value?  (a) -0.3  (b) i  (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1302470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*l - 42*l + 366 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*v + 16*v - 11*v)*(-v - 3*v + 2*v**2 + 53*v)*(v**2 - v**2 + 2*v**2).\nAnswer: -64*v**5 - 1568*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32121 + 3?\nAnswer: -32113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6505 is divided by 232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 162947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8a87 - -7?\nAnswer: 8a8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42366 and 5106.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 9*t - 9. Let j = -105 - -95. Determine l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 4:36 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g + 10. Let m(a) = 3*a - 9. Determine -5*m(j) - 4*q(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9746.506*5\nAnswer: 48732.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80) + (sqrt(80) - -2*sqrt(80)))*-5)\/(-5*sqrt(32)))\/(sqrt(605)*-1*-3*6).\nAnswer: sqrt(2)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 1 - -26) + (2157 - 2168).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2898)\/(-9660))\/(1\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) -1  (b) 5  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o - 1. Let r be m(-6). Suppose 715 = r*p + 5*g, p - 5*g = -36 + 179. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/2 - 6615*u + 13231\/2.\nAnswer: -(u - 1)*(u + 13231)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + 0.2. Let z = -1535.84 - -1536. What is the third biggest value in z, 2, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 817 - 713. Let r be 4\/3 + (-6)\/(-9). Suppose -r*o = -o - 13. What is the highest common factor of l and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 173, 412, 793, 1316, 1981, 2788, 3737?\n\"Answer: 71*o**2 + 26*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 7*z + 2. Let s be y(7). Let u be 0 + (-15155)\/(-3370) + -3. Let f = u - -1\/337. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 c when three letters picked without replacement from brprbbppcpbbrrcrpcgr?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 36\/(-10)*10\/(-4). Suppose -11*r = -g*r - 158. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from {c: 9, g: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-70)*17397\/9. Let w = 277 - c. Let -36\/7*x**2 - w*x**5 + 2\/7*x + 6\/7 - 34\/7*x**4 - 60\/7*x**3 = 0. Calculate x.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1111, 2, -1 in increasing order.\nAnswer: -1, 2, 4, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1226 + -542. Let n = -683.8 + o. Sort 0.5, 0, 3, n.\nAnswer: 0, n, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002949410336 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003037 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6778 - 1922 = -3*t. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + 550a?\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)*-4 - sqrt(204))\/sqrt(12) - 6*(sqrt(17) + 3).\nAnswer: -11*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 8:09 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 11*q**2 - 10*q + 28. Let t be m(-12). Suppose -5*p + 0*p + 3150 = 0. Suppose t*y - 386 = p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 71260, 70284, 69308?\n\"Answer: -976*x + 72236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-63)\/504)\/(6\/384*4))\/22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/35)\/a**(1\/6)*a**(-6)*((a*(a*a*(a\/(a*a*a**2*a))\/a*a*a)\/a)\/a)\/a*a assuming a is positive.\nAnswer: a**(-1703\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 0*g**3 + 0*g + 0 + 17*g**2 + 1\/330*g**5 - 1\/132*g**4. Factor j(o).\nAnswer: 2*o*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 12*p + 29. Let a be o(14). Let q = 79 - a. Solve -2 = -4*r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 0, -3 in decreasing order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 11:21 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29912\/5 or 5983?\nAnswer: 29912\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 2*r - 24, -16 = 2*j - 2*r + 4*r. Let n(c) = c**2 + 5*c + 4. Let p be n(j). Solve 2*a - 4*y = -4, -2*a + y - 4 + 3 = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -79 - -73. Let l(m) = -7*m - 10. Let z(x) = -20*x - 32. Let i(j) = a*z(j) + 17*l(j). Give i(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 35810 - 17?\nAnswer: 35782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-26 + (26 - (-9 + 22)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let q be (-48)\/18 - 2\/6. Put -2, a, q in ascending order.\nAnswer: q, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7329.\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**2 + 1 - 4*s - 4\/3*s**3 + 1\/4*s**4. Let l(a) = a**3 - 61*a**2 + 246*a - 1023. Let n be l(57). Give f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*(q\/q**1)\/q)*q**19*q)**(26\/9) assuming q is positive.\nAnswer: q**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssvsvssvsv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 1, 5 in increasing order.\nAnswer: -8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*((sqrt(1088) + sqrt(1088)*-1)**2 - sqrt(1088)).\nAnswer: 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -214 - -4?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 8*p - 1. Suppose 0 = 4*i + 9 + 19. Calculate the lowest common multiple of 12 and a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) -0.2  (c) 4  (d) -0.0082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28655545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 30*p**2 + 70*p + 195. Let l be r(-32). Solve -4*s = l*d + s - 15, 3*d - 4*s - 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.224138ms in nanoseconds?\nAnswer: 1224138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -65\/479, 1003, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 9*c - 3*c + 18*c - 23*c. Let w(q) = -8*q**3 - 8*q. What is -8*j(f) - w(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2925*a - 21670 = 112274 + 118075 + 31706 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5472\/17 - (25\/5 - 3). Suppose -4*a + z = -167 + 1451, 0 = -4*z + 16. Let d = a + w. Are d and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 + -123923.45623.\nAnswer: -123922.95623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*f + 68 = 82*f. Let l = 0 - 0. What is the second smallest value in l, 9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 3:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*r - 19*r**3 + 98*r - 464*r + 271*r.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000037 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*j - 12108 = s, 15135 = 5*s - 2*j. What are the prime factors of s?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = c - 2*f, 2*c + 4*f = -0*c + 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**2\/5 - 8*c - 448\/5 = 0?\nAnswer: -8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -319805, -639605, -959405, -1279205, -1599005, -1918805?\nAnswer: -2238605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -2\/17, -1\/4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -1323?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**3\/3 + 6*p**2 + 40*p\/3 = 0. What is p?\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -6*h + 4. Let t be x(6). Is (-2)\/1 - (-5 + t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -25) + 4560\/(-323).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 166, 5, 106 in ascending order.\nAnswer: 5, 106, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 12:51 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 95529998663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73335836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14562997 is divided by 509.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m = -3*i, 14 = 3*m - i - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459273634.\nAnswer: 2, 191, 839, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 - o. Let b = -54 - -57. Suppose b*l + 2 = -j, 1 = -j + 5*j + 3*l. Let y(s) = -5*s**2 - 3*s - 2. What is j*y(h) - 4*x(h)?\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 15195884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(((-7)\/4)\/(-7)*12). Solve o*b = -67 + 63 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 748217\/118920 + -1\/9910. What is the common denominator of h and -52\/2979?\nAnswer: 23832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67b (base 16) to base 7\nAnswer: -4560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*k - 14*k - 476 = 0. Let d(b) = 2*b**2 + 1. Calculate d(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16443 and 14819?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -190396b?\nAnswer: -190396a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11625983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 6. Suppose f + t*f = 60. What is the remainder when 35 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by 1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 575.8388 less than -4.329?\nAnswer: -580.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 6*w**2 + 2*w + 3. Calculate the remainder when 54 is divided by z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13687352 and 73162.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6551 is divided by 3786.\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6461172 divided by 7108?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.134783092 rounded to 3 dps?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 - 607.8927.\nAnswer: -554.8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(468))**2 + -3 - -5*(-2 + sqrt(468)).\nAnswer: 30*sqrt(13) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 441 + -439. Suppose -n*b + 45 = -5*m + 5, 3*m = -3*b - 24. Let c(z) = -9*z**2 + 9*z - 3. Let p(g) = 14*g**2 - 14*g + 5. What is m*c(l) - 5*p(l)?\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/2*-1*0. Suppose f + c + 5 = -l*c, -3*f = -4*c - 13. Is 1\/8 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6035a6 (base 15) in base 6?\nAnswer: 241522320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(-6)\/15*15\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13822794 a multiple of 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276*q + 8734829 = -1524846 - 11223889. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + s**2 - s + 2. Let u be i(2). Let a = 15 - u. Solve j - a = -0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.4, -0.5, 5, 182?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 5:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 400871370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 2*k - 3. Let x be j(5). Suppose -2*a + x = -2*s - 4, 0 = 3*a + s - 8. Let n(d) = d**2 - 4*d + 3. Let h be n(a). Solve -y + 6 = -h*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -184*d**2 - 4216*d**3 + 184*d**2.\nAnswer: -4216*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -f**6\/60 - f**5\/12 - f**4\/24 + f**3\/2 + 4390*f**2. Let c(z) = -5*z**3 - 14*z**2 - 3*z + 8. Determine -3*c(b) + 8*l(b).\nAnswer: -b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -644 and -0.4.\nAnswer: -644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*t + 16*t - 200 = -39*t. Let f be 80\/(-12)*3\/13. Is t less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 PM and 5:23 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -351*i**4\/4 - i**3 - 8*i - 398. Find the third derivative of y(z) wrt z.\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 357 and 142017099?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2604163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o**2 - 2*o + 2*o + (0 - 2*o + 0 + (3 - 7 + 3)*(3*o + 3*o - 5*o) - 4 + o + 4)*(-51*o - 1225 + 1225).\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 277 = i - 4*g, g + 268 = i. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1008 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 52 - 79. Let z = f + 83\/3. Let j = -5.02 + 0.02. Which is the biggest value?  (a) z  (b) j  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 1. Let r(q) = q**3 + 2*q**2 - 2*q - 3. Let c(y) = -6*a(y) - r(y). What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 16*q**2 + q - 10. Let o be k(-1). Sort o, -387, 1 in descending order.\nAnswer: o, 1, -387","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)*1 + (sqrt(13) - (1 + sqrt(13) + 2) - sqrt(13)).\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 4600.\nAnswer: 41400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1211 divided by -25430.\nAnswer: -1211\/25430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22 + 3533348?\nAnswer: 3533371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d - 6. Let j be m(8). What is the smallest value in j, 28, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 44 = 4*r, -4*r - 175*k + 36 = -171*k for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 197971 = -13*f + 4*j, f - 39598 = -3*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8.9 or 2.59?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 96027562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 625 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4 + (-1*(sqrt(18) + sqrt(648)))\/(sqrt(108)\/sqrt(432)))*-5.\nAnswer: -840*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1072071764 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 0.15, 12, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119299018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -5. Let l = -92 + 94. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12744)\/(-885) - 26\/(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -89, -224, -377, -554, -761, -1004, -1289?\n\"Answer: -z**3 - 3*z**2 - 119*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/8 and 59\/31978382.\nAnswer: 127913528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-10)*-4 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x + 7. Let f be p(-5). Let r = f - -12. Suppose 5*d + 17 = -2*b, 17 = -d + b + 15. Put r, 5, d in increasing order.\nAnswer: d, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3517.666 times 0.9\nAnswer: -3165.8994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a - 53*a + 58*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 6 + 10, -2*q + 2*n = 160. Let o = q + 86. Solve -5 = -o*g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1424 = 3*x - 3479, 4*m = x + 2715. Is m < 678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.324*-16.\nAnswer: 37.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d + d + 0*d)*(1 - d - 1)*(-3*d + 0*d + 4*d)*(3 - 4*d - 3)*(-8 - 19 - 6) to the form t*d**4 + p + l*d**2 + b*d**3 + x*d and give t.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -98 + 106. Solve o*w - 7*w + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 708, 629, 536, 429?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36108 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - y - 2*y)*(-y - 3*y - 4*y + 2*y - 3*y + 2*y + 2*y + 0*y - y + (2*y + 0*y - y)*(-3 + 5 - 1) + y + 1 - 1 + 2*y - y + y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**4\/5 + 2*z**3\/5 + 3*z**2\/5 - 4*z\/5 - 4\/5 = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13080234913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from soevoosoooccs. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -21460.419 plus 0.05?\nAnswer: -21460.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-15) + (2 - 2). Let w = 24 + -19. Suppose -3*l + 3 - 5 = -2*y, w*y = -4*l + 5. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.014646 + -59094050\nAnswer: -59094049.985354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 4*y**5\/15 - y**4\/24 + 5*y**3\/3 - 7. Let h(c) be the third derivative of u(c). Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.358 at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1820146951 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**3 - 18*j**2 + 4*j + 90. Calculate the remainder when 79 is divided by a(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4532*o**2 - 442 - 494 + 936.\nAnswer: 4532*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 668.3 - 668.9. What is the third smallest value in 2\/3, n, 4, 12.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24007377*s**4 + 12*s**2 + 103488*s.\nAnswer: 576177048*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-14)\/35)\/((-4)\/(-15))*-6. Is (-2*(-12)\/(-8))\/(a\/(-1545)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1660 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 0) + 1018 + -1032.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.726 + 0.274. Let m be 2*5\/955*(-3)\/3. Let v = m - 951\/382. Which is the nearest to -2?  (a) u  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11211617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 47261802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.1016688 millennia?\nAnswer: 10.16688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 168 - 167.7. Sort -1, b, 1\/6, 0.5.\nAnswer: -1, 1\/6, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 40  (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = 5*g - 3*l + 41, 3*l = 4*g + 129. Let j = g + 26. Let r be j\/18 - (-6)\/27. Solve r = -2*z - 12 + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*f - 66*f + 304 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-14 + 6 + 17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - 2*w + 5*w)*(-2 + 2 + 5) + (4 - 1 - 2)*(0*w + w + 0*w) + w - w + w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7379.4469158 + -7432.447. Let o = -53 - f. What is o rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 158 = 4*i - 3*v, 3*i - v - 121 = 0. Let d be (-31)\/(-496) + (-1528)\/(-128). Solve 38*s = i*s - d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide -14*(9282\/252)\/(2\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 37, -5, 0, -21 in decreasing order.\nAnswer: 37, 0, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 19 + 25 + 22*o**2 - 59.\nAnswer: 22*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13.4, -3\/5, -0.1, -0.5 in decreasing order.\nAnswer: 13.4, -0.1, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/6 + (-1)\/((-1)\/2). Factor 0*f - k*f**2 + 1\/2.\nAnswer: -(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((4 - 7) + -5)\/(-2). What is the highest common divisor of p and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 28*a**2 - 473*a - 85. Calculate u(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 8*f + 9. Let q(t) = 5679*t - 4 - 5689*t - 5. Let r(s) = -4*b(s) - 3*q(s). Calculate r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2273364, -4547383, -6821402, -9095421, -11369440, -13643459?\n\"Answer: -2274019*t + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 82, 245, 484, 799?\n\"Answer: 38*w**2 + 49*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -806.4517 rounded to the nearest 10?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 11*t - 3. Let k be g(2). Let m = 817 - 833. Let x = m + k. Solve -x*w + 2 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 minus 20.1860708?\nAnswer: -19.5860708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 32351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9425 < 9454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - p**2 + p + 1. Let q be h(-3). Let w = -10 + q. What is the remainder when 16 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*d**2 - 81*d**2 + 36*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 17*r - 4. Let y(b) = 32*b - 8. Give 7*c(i) - 4*y(i).\nAnswer: -9*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 3*a**2 - 2*a)*(-3*a**3 - 3*a**3 + 4*a**3).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -10*f. Let z = 1 + -2. Let c(m) = m - 1. Let i be c(z). Does 10 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 2:42 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 + 12*s**2 - 83*s - 447. Let z be l(-5). Solve -17*h = -z*h - 7 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2024301?\nAnswer: 3, 674767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 15*g + 8. Let w be n(7). Let a = w - 80. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2095 divide 88019330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5260*u**2 + 2632*u**2 + 2655*u**2.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -39. Suppose -r = -5*w + w - 15, l*r = -2*w + 115. Let j = r - -16. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 10, e: 8, y: 1}. What is prob of sequence yee?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -1016 - 540. Let p = i + 817. Round p to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 384\/5, 2\/3, -5.6, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1216, -2477, -3738, -4999?\n\"Answer: -1261*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*0.003044\nAnswer: 0.00021308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*a + 345 + 49*a - 151*a + 50*a.\nAnswer: -8*a + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 7.7. Let h = 0.19 - -2.01. Let n = 0.2 - h. What is the third smallest value in u, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjmjm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/23  (b) 293  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + ((-11)\/(-110))\/(-3*5\/(-150)). Solve -5*g + 14 = -q*g + 3*s, 4*g + s = 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -19*y. Let g(t) = -39*t. Let j(u) = 6*g(u) - 13*x(u). Let v(r) = r. What is v(j(f))?\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*h**3*n - 50*h**3 + 2*h**2 - 1072142*h*n + 5816*h - 2*n + 22 wrt n.\nAnswer: 4*h**3 - 1072142*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/3*(-36)\/8*14\/(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(23\/(6072\/(-48))))\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqp when three letters picked without replacement from {q: 1, z: 3, w: 10, p: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 1, b: 2, y: 1, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1733, 3 in increasing order.\nAnswer: -1733, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, r: 13, l: 3}. Give prob of picking 2 l and 1 y.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.161  (c) 2\/91341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -247, 5 in ascending order.\nAnswer: -247, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 - 2 - 5)*(2 + 0 - 1)*(3*x + 2*x - 2*x)*(2 + 1 - 6).\nAnswer: 207*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*s**3 + 17*s**3 - 71*s**3 - 3*s**3 + 98*s**3.\nAnswer: 53*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 124 = -4*v. Let x = v + 60. List the prime factors of (-123 - -34)*1*2\/x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1065842 is divided by 7012.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, -2\/13, 3, 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2676 + 5?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b - 1 + 1)*(2*b + 2 - 2)*(4 - 5 + 2) + 4*b - 2*b**2 - 4*b in the form h + n*b**2 + f*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.7 + 20.3. Is -2\/3 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/7 - 7319*c**3 + 656281915*c**2\/7 - 1968384675*c\/7.\nAnswer: c*(c - 25615)**2*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 14672081 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -59, -3 in descending order.\nAnswer: -2, -3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.758 and -9.\nAnswer: -24.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.08, -0.5, -27, 4\/37, 2, -4 in ascending order.\nAnswer: -27, -4, -0.5, 0.08, 4\/37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -16. Sort f, -7, 4 in decreasing order.\nAnswer: 4, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21.1 - 41.9. Let h = 3.2 - k. Let w = 23.9 - h. Which is the nearest to 0.1?  (a) w  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*u + 161*u + 605*u + 981*u.\nAnswer: 1770*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, l: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1679 and 0.2?\nAnswer: -335.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26753 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -12. Let d be (1\/(-2) + (-50)\/20)\/c. Suppose -d*p = 31704 - 373704. What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**2 + 5*o**2 + 0*o**2)*(3*o - 3*o - 2*o**2)*(-3 + 4 + 5 + (-1 - 3 + 3)*(2 - 5 + 6)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93980.\nAnswer: 2, 5, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 98992 and 2190736?\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 9*c. Let z be h(9). Solve -m - m = z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*s**6 + 64 - 74*s**6 - 39*s**4 + 107*s**6 - s**2 wrt s.\nAnswer: 240*s**3 - 936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-456)\/(-18))\/(((-232)\/58)\/(36\/(-6)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 5*y = -21, 19 = a - y + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 6:58 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 0.2, 12\/29, -18\/11, -6\/25?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84627841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 10*g**2 - 6*g + 93. What is the remainder when a(10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 6 + 0 = 0. Let w be (2\/v)\/(3\/(-9)). Suppose 7*p - 76 = 3*p + 3*m, -p + 19 = -w*m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 522405103?\nAnswer: 11, 277, 171449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 - -95. Which is the third smallest value?  (a) 0.2  (b) g  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*0\/(0 + 2). Suppose c*o = 2*o + 2*n - 16, 0 = -2*o + 3*n - 4. Suppose o*t - 40 = -0*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g + 6. Let p be 4\/(-14) + 99\/(-21). What is the lowest common multiple of 2 and w(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nbbjbmbnbbbbbmbbbnn. What is prob of picking 1 m and 3 n?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 4 = -9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25100*w = 25095*w + b + 18, 2*b + 15 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10643086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 163 = 5*g, 3*m - g = 7*m + 317. Let v = m - -104. Let a(n) = 91*n**2 + n - 1. Calculate the remainder when a(1) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 6*w + 5. Let b be c(7). Suppose -b = -6*m + 2*m - 2*n, -4*m + n = -6. Find the third derivative of -10*s**4 - s**2 + 6*s**2 - s**m wrt s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 34570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b. Let s be (-3*1)\/((-13)\/(-2) - 5). What is f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 747 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 351 a factor of 33751194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of -5*m**4\/24 + 5*m**3\/6 - 14*m**2. Let t be j(0). Solve -t*u = 14 + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -147496.\nAnswer: -5\/147496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 2\/645  (c) 3\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3 - 28*k**4 - 10 + 41*k**4 wrt k.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 + 12. Let h = r + 22. Suppose -3*z - 3 + 2*z**2 - h*z**3 + 4*z**2 + 3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 + 12*u**2 + 16*u + 125. What is r(-8)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 3*n**5\/4 + 51*n**4\/2 - 7533*n**3\/2 + 11139*n**2 - 44337*n\/4 + 7371\/2 = 0?\nAnswer: -91, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 1320.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -432267 divided by 144089\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of -u**7\/70 + 4*u**6\/25 - 9*u**5\/100 - 8*u**4\/5 + 14*u**3\/5 - 7*u + 7. Suppose d(q) = 0. What is q?\nAnswer: -2, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 14 = -5*l, -2*j + 5*l = -2 + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/l**(-3))\/l**8)**21)**(-5))**(5\/9) assuming l is positive.\nAnswer: l**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a24 + -1?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136)*1 + sqrt(136))*-6*-2)\/(sqrt(200)*1*5)*1.\nAnswer: 24*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 33. Let o = 8 + r. Let i = -6.9 - o. What is the smallest value in -0.4, i, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 0 + (-64)\/2. Let w = f + 43. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -614*i + 1. Let s(m) = 153*m. Determine 2*r(y) + 9*s(y).\nAnswer: 149*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + d + 3 = 0, 19 = 5*w - d + 4*d. Suppose -w*z + 501 = -3*l - 5*z, -3*z + 359 = -2*l. Let h = 321 + l. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.9, -1\/3, 0.5, 5, -1\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 + 19. Let x be n(0). Which is smaller: x or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46*5.7\nAnswer: -262.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4\/2 + 53*a**3 - 205*a**2\/2 - 156*a.\nAnswer: -a*(a - 104)*(a - 3)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000478529 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 (base 13) in base 12?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - p**2 + 2*p. Let m be h(-2). Let j = -7 - -10. Differentiate m*n + 0*n - n**3 + 3*n**j + 4 with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00705 times 9.869?\nAnswer: 0.06957645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201301.\nAnswer: 47, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 - -38. What is the units digit of ((-2)\/(-8))\/(1\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*g + 22 = 43*g + 3*f, g + f - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 858366, 1716725, 2575084?\n\"Answer: 858359*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 6:02 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4363205 (base 10) to base 5\nAnswer: -2104110310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*(-2 + (4 + sqrt(19) + 1)**2) + 4*(sqrt(19) - -1*sqrt(2736)) + 5.\nAnswer: 50 + 62*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 45*l**2 + 43*l + 82*l**2 + 30*l - 252*l. Let z(b) = -25*b**2 + 36*b. Let f(k) = -2*o(k) - 11*z(k). Find the second derivative of f(x) wrt x.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -31*z + 7. Let j be i(4). Calculate the least common multiple of 16 and (-1196)\/j - 4\/18.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 5*f + 139, -r + 145 = -5*r + f. Let o be ((-10)\/4)\/(1\/10). Let m = o - r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -665 + 669. What is the second smallest value in q, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 54 - -121636?\nAnswer: 122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 17*m + 15 = 0. Let c(v) = 2*v**2 - v - 7. Let f be c(m). Let d(z) = 9*z**2 - f*z**2 + 4*z**2. Let j(n) = -31*n**2. What is d(j(t))?\nAnswer: -961*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - -18 - 6 - (19 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 698*o - 322*o = 10152 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -1043303320?\nAnswer: -1043303320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 23143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - w = -7, 4*n - 14 = 6*w - 4*w. Suppose n*r + r = 42. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/15 and 46\/87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-390)\/65)\/(2\/4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 53*q + 434. Let l be h(-12). Which is bigger: l or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2. Let b be 6\/4*32\/3. Let x = b - 10. What is the least common multiple of h(-1) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 949 is divided by 348.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7257?\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 5:58 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*a - 287 + 650 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 + 0 + 1 + 5*y - 5 - 3. Let o(h) = -8*h**2 - 14*h + 22. Let d(b) = 17*l(b) + 6*o(b). What is the second derivative of d(n) wrt n?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + q + (1 - 1 - 2)*(-3*q + 2*q + 3*q) - 2 - 2*q + 2 - q + 30*q + 6*q in the form h*q + a and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1086309525.\nAnswer: 3, 5, 7, 67, 89, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/5116 and -19\/12?\nAnswer: 15348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3919 + -3599. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24034210 - 4203?\nAnswer: -24043413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -66*b. Determine m(2).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b + 42. Suppose 19*n = 9*n - 70. Let s be z(n). Let t = 38 + 102. What is the highest common divisor of t and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*y, -4*l - 3*y = l - 660. Let z = -5533 - -5506. Let f be l\/z*-3 - (-6)\/9. Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - -3*(4 - 3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -664*m - 1127 = -713*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -126*y - 528. Let d(u) = -8*u - 33. Let q(k) = 33*d(k) - 2*h(k). Differentiate q(f) with respect to f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8288029*c**2*g + 15*c*g + 207*c + 6*g wrt c?\nAnswer: -16576058*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -197, -741, -1645, -2921, -4581, -6637, -9101, -11985?\nAnswer: -15301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -j - 2, f + 4*j = 17. Let c(z) = z**2 - 8*z + 9. What is the units digit of c(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -0.03\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -186 + 185. Sort 4, -1\/5, g.\nAnswer: g, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -3. Suppose 26*m = -18 - 8. What is the closest to m in z, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(20) + -5.\nAnswer: -9 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y**3 + 6*y**2 + 16*y + 43. What is the units digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2272622.\nAnswer: 2, 11, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000000557047 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(90)*-1 + sqrt(90))*-5 - sqrt(90)) + sqrt(90))\/((sqrt(54) + 1*sqrt(54))\/sqrt(6)))\/((3*(sqrt(125) + -2*sqrt(125) + sqrt(125)) - sqrt(125))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*((-116)\/(-14) + -8). Put -5, -2\/11, -10, h in decreasing order.\nAnswer: -2\/11, h, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 0.3  (c) -3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13495*d - 1 - 13474*d + 3.\nAnswer: 21*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*a**3 + 981*a**2 + 2*a - 4368 wrt a.\nAnswer: 18*a**2 + 1962*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*t = 138*t - 102 + 289 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*a**4*c**3 - 8377*a**3*c**3*n**3 + 169*a**2*c**3 + 2*a**2*c**2*n**2 - 6*a**2*c + 2*a*n**3 - 3*c*n**2 wrt a.\nAnswer: -168*a*c**3 - 50262*c**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 173. Determine o(36).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does -2249 = -2254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*z + 25 = -38*z, 26*g = 2*z + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -3907?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -3, -143856, -1 in decreasing order.\nAnswer: 54, -1, -3, -143856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 21896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 429957613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2968  (b) -5  (c) -10  (d) 1\/2  (e) 5  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2 = 133. What is the remainder when 31 is divided by ((-15)\/i)\/(1\/51)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 5*r**3 - r**2 + 4*r. Let d(j) = -j**3 - j**2 - j. Calculate -4*d(m) - n(m).\nAnswer: -m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 2*p**2 + 2*p - 2. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 125932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 9155.\nAnswer: 18310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(108)*4*-4)**2 - (-4 + 3*(sqrt(243) + -3))**2)*-1.\nAnswer: -25292 - 702*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**5 + 21*d**4 - 18*d**3 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from esxdedeede. What is prob of sequence esd?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of 71*f**6\/24 + f**5\/30 + 811*f**3\/6 + 2157*f**2. What is the first derivative of m(a) wrt a?\nAnswer: 1065*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 3*f**2 + 4*f. Let l be k(-2). Let a be 1\/(l*3\/(-1788)). Suppose 3*z = 184 + a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2944060783 to the power of 1\/3, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 7 - 21 + 14 - 2*q. Let t be (-1 - -2) + -3 + 2. Let w(k) = t*k**2 - k**2 + 2*k**2. Calculate d(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3254 (base 6) to base 9\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7241 - -13074. Is d a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180264193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6614\/3 + 2204. Let n = 5 - 8. Which is the smallest value?  (a) 0.02  (b) -1\/4  (c) n  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w = 4*f + 14*w + 48, 3*w + 32 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -12. What is the lowest common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2952*z**2 + z**3 - 3697*z**2 - 79 + 79 + 3366*z**2.\nAnswer: z**3 + 2621*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 449bf9 (base 16) in base 12?\nAnswer: 160a0a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3.1. Which is smaller: 4\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (2 - (-5 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 3*m + 0*m)*(5*m - 3*m - m)*(2 - 4 + 5)*(-4 + 4 + 5*m**3)*(-5 + 1 + 2 - 2 - 2 + 2 + (-3 - 1 + 5)*(-4 + 7 - 4)).\nAnswer: -75*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -4*r**2 + 113*r - 529. Let v be y(6). Let p(g) = g**3 - 8*g**2 + 22*g - 17. What is p(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 0.0318  (c) 3  (d) 8  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -8*r - 197. Let j be l(-25). Suppose -157 = -i - 5*s, -5*i - 194 = j*s - 1089. Calculate the greatest common divisor of 104 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b + 6*b - 4*b)*(3*b + 16 - 123 + 2) to q + r*b + y*b**2 and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 3) + (4 - 6) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rwrwbrrbr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*g - 3*g. Suppose 7 = g*o - 8. Solve 2*l - 2*m - 3 = 3, 0 = -o*m - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4*k**4 + 9*k**3 + 10*k**2 + 2*k. Let l(u) = -5*u**4 + 10*u**3 + 11*u**2 + 2*u. Let z(g) = 5*l(g) - 6*p(g). Factor z(a).\nAnswer: -a*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-6) - (-56)\/(-48). What is the closest to 3 in h, 0, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12013611227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/3  (b) -553590  (c) 2.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132713?\nAnswer: 3, 127, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b - 19*b + 49*b + 80 + 125 - 9*b - 13*b.\nAnswer: -b + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 52*x + 6. Let b(v) = 113*v + 13. Let h(s) = -6*b(s) + 13*t(s). Let m(k) = 4*k + 22*k**2 - 21*k**2 - 4*k. Give h(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21685?\nAnswer: 5, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 15*k - 14. Let u(i) = -i**3 + 15*i**2 + 15*i + 11. Let d be u(16). Let m(a) = -a**2 - 14*a - 13. Let p(x) = d*f(x) + 6*m(x). What is p(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 2 = 5*x, -5*p + 9 = -4*x - 0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 + 6*l + 5. Let h be b(-3). Let i be (h + -8)\/(2 - 1). Is (19 + i + -2)*7 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 5, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*3*(((sqrt(45) - (sqrt(180) + sqrt(45)))\/sqrt(9) - 4*-2*sqrt(5)) + 5)*-3.\nAnswer: -54*sqrt(5) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1726830?\nAnswer: 2, 3, 5, 7, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**2 - 5*k + 1. Let o be i(7). Let b = o + -54. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -11*p**2 - 17*p + 7. Let o(a) = 5*a**2 + 8*a - 3. Calculate 4*f(k) + 9*o(k).\nAnswer: k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mlmzmmmmzzmmzmlizz. Give prob of sequence zzzl.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -53 + 5. Let m be (-18)\/u - 10\/(-8). Let c be (-10 - -12)\/((-4)\/m). Which is smaller: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4 = 2. Suppose 3*m - 5*r = 18, -x*m + 7*m - 5*r - 20 = 0. What is the units digit of m*14*2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (9 + -3)) + 8 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s + 7. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -712611.\nAnswer: -712610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/4 - (1 - -1). Let w = -42.4 - 497.7. Let n = w + 540. What is the closest to 3\/7 in y, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14314520)\/(-216) - (112\/(-54) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2992, 5, 0, 754 in increasing order.\nAnswer: -2992, 0, 5, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 + -14. Let y = r + 2. Solve -y*m - 31 = -s - 3*s, 0 = 3*s + 5*m + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 137 - 51. Let c = i + -86.8. Sort c, -1\/2, 0.2.\nAnswer: c, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 50984*b*d**2 + 61*b - 3*d**2 + 5469*d + 78 wrt b.\nAnswer: 50984*d**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*a - 0*a + 15, 0 = 3*a - 9. Let q be h\/63*9*-5. Solve -q*y + 4*y + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 229, -23\/7, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ucccuuucck. Give prob of picking 3 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d\/(d*d\/((d*d**(-4)*d)\/d)))\/d)\/d)\/(d\/(d*d**(-15))))**8)**19 assuming d is positive.\nAnswer: d**(-3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 - (-22 + 11 + 29 - (12 - -4))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20291 + 33.756.\nAnswer: -20257.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/5 + 198*m - 2925.\nAnswer: -(m - 975)*(m - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19*g**2 + 0*g**2 - 3*g**2)*(-2 + 0*g + 3 + 5*g) to q*g + w*g**3 + m + t*g**2 and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4141, 16572, 37283, 66274, 103545, 149096, 202927?\n\"Answer: 4140*r**2 + 11*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 1 + 4. Let q(x) be the first derivative of -4*x**2 - 12*x - 4. List the prime factors of q(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2659.87097 to the nearest integer.\nAnswer: -2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 66\/5?  (a) -1\/9  (b) 55  (c) 1\/3  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -699 + 539 = -5*u. Calculate the lowest common multiple of u and 24*9\/(162\/24).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -21, 0.121, -0.4, 2?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 3, 1, -2, -35, 5, 58 in descending order.\nAnswer: 58, 6, 5, 3, 1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 16*j - 10 = 0. Let c be 8 - 3 - (0 - 0). Find the second derivative of 4*g**5 + 4*g**c + g**j - 6*g**5 - 6*g wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/34 + 3\/442. Let s = -253.5 + 253. What is the nearest to -2\/5 in -4, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -38*j + 334. Calculate n(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 0.129  (b) 2864  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 4 - 4. Suppose -5*r = 4*w - 133 - 114, -220 = -4*w + d*r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -25597.471\nAnswer: 76792.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 67 or 0.016?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2. Let s(l) = l**2 - 10*l + 10. Let q be s(9). Let p(h) = 112*h + 11. Let w(t) = q*p(t) - 5*u(t). Let g(k) = -2*k. What is g(w(c))?\nAnswer: -224*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3434.607 and -1.33.\nAnswer: 3433.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 305050237 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 8*g**2 + 1. Let t be s(1). Suppose -4*z = 2*q - 288, 18*z + 4*q = 20*z - 144. What is the greatest common factor of z and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 13*k**2 - 14*k - 11. Let m be t(11). Let v(q) = -8 - 5 + 13 + m*q**2. Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3*(sqrt(432) + -1*sqrt(432)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4550 times -0.3\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t + 120. Let o be v(-10). Suppose o = 24*g - 2468 - 6508. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 596317, 1192628, 1788939, 2385250?\n\"Answer: 596311*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1844667973?\nAnswer: 1844667973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*s + 16, 4 = 5*g + 2*s - s. Let i = 0.79 + -0.49. Which is the closest to 0?  (a) g  (b) 3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 + 46*p**2 - 772*p - 816.\nAnswer: 2*(p - 12)*(p + 1)*(p + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44*v**4 - 2*v**3 - 13*v**2 + 3.\nAnswer: -1056*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -24935805 divided by -8311935\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32054*u = 32076*u - 620906. What are the prime factors of u?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w + 11. Let b(y) = y + 10. Let m(v) = -6*b(v) + 5*h(v). Let k be m(0). Does 7 divide 1\/(k\/(-15)) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2282, 4568, 6854, 9140, 11426?\nAnswer: 13712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y**2 + 0 + 2*y**2 - 2*y**3 + 1 + y + 0*y as w*y**3 + h*y + f*y**2 + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1644 to the nearest 10.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 2*s - 5. Let t be k(4). Let h(f) = -2*f - t + 3*f + 4*f. What are the prime factors of h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1496875403.\nAnswer: 239, 2153, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -127055, -127056, -127057, -127058, -127059?\n\"Answer: -h - 127054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -102*u + 2035. Determine v(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 8 = -3*r, -1215*r - 10 = 4*p - 2*p - 1211*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3340*x - 1899*x - 529*x - 3 + 1544*x + 4086*x to c + q*x and give q.\nAnswer: 6542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111101010 - 100010110?\nAnswer: -10100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, -88, -186, -276?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32fd63 (base 16) in base 6?\nAnswer: 155342403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -143 times -873728?\nAnswer: 124943104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1319118 divided by 295.\nAnswer: 1319118\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 294 and -5?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + -19. Let u = b + 31. Suppose u*f - 2*f - 27 = 0. Sort -4, -1, f.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a - 184*p + 189*p = -38, 0 = 3*a + 5*p + 33 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1747.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 40968360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 0 + (-7)\/(-6). Let l be 2\/4 + 15\/(-2). Let i be 20\/70 + 2\/l. Is i < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1991671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -2, -3\/2, 0.1, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-3) + (-34)\/30. Let u be (-3*(-72)\/(-270))\/(4\/(-2490)). Let r = -500 + u. Put 36, r, b in decreasing order.\nAnswer: 36, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 27, 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 2:40 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1430599 or -1430603?\nAnswer: -1430603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 23559, 23572, 23585, 23592, 23587, 23564, 23517, 23440?\n\"Answer: -o**3 + 6*o**2 + 2*o + 23552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 59461798 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + 5*n**2 + 8*n + 1. Let o be r(6). Suppose -5*y + 3 = o. Is (y\/(-6))\/((-10)\/(-6390)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4007536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 2*i - 3977, 4*h - 7641 = 3*i - 2361. Which is smaller: 1322 or h?\nAnswer: 1322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -578 + 268. Let u = -381.2 - a. Let q = u + 71. Is 1.3 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*i = -2890 - 3228. Calculate the greatest common divisor of i and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 4947*j - 54414. Let n be h(11). Suppose 40\/3*q**n + 0*q + 5\/3*q**5 + 0 - 20\/3*q**2 - 25\/3*q**4 = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 34*r = 760. What is the remainder when 906\/9 - 7\/(-1 + r) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 1000 = 397. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.09 - 1.09. Suppose 4*j - u = -j + 39, u = 3*j - 25. Suppose 5*w + 16 + 14 = 5*h, -j = -2*h + w. What is the biggest value in h, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -5. Let s(k) be the second derivative of 1\/6*k**2 + 1\/9*k**b + 1\/36*k**4 - 2*k + 0. Find v, given that s(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjyjjyjj. What is prob of picking 2 j?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1598 - 481 - 367 - 273 - i**2.\nAnswer: -i**2 + 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34836.\nAnswer: 2, 3, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29280529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.8 - 8.5. Let t = a - -2.70000088. What is t rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4940 - -10522. Let a = x + -5581.879925. Let r = 0.12 - a. What is r rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**5 - 207*o**4 + 648*o**3 - 12*o**2 - 864*o = 0 for o.\nAnswer: -72, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10580\/3703)\/(1 - 10\/(-14) - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -135.705715 + 135.426. Let b = -0.28 - x. Round b to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 - -46. Factor -2*l - 9*l**2 - l**4 + 9*l**3 + 4*l**o - 13*l**3.\nAnswer: -l*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32987 is divided by 599.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 45 in 2, -0.363, 4\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.06*-8131981.\nAnswer: 487918.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -629\/4 + 158. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -2\/7*o**7 + 0*o + 0*o**5 + 0*o**4 - 2\/3*o**3 + 0*o**2 - 2 + 0*o**6. Find the third derivative of g(x) wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 12*z**2 + 14*z - 2. What is the tens digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1213272 by 6.\nAnswer: -202212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(24\/32) - (15 - 28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y - 12. Let n be p(-6). Solve -3*v + n*v - 6 = -3*r, 3*v = 2*r + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2937299.02 to the nearest 10000.\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20533 and -477?\nAnswer: -9794241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5346)\/2187 - (-618)\/54.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 2 - 3. Is 19 a factor of 1*j\/(-2)*38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + 0)\/((-10)\/(20\/(-4))). Are z and 3\/484 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (5 - 23) + 6 + (2 - -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 3*h**6\/8 - 3*h**5\/20 - 5*h**4\/16 - h**3\/12 + 3. Factor v(c).\nAnswer: c**2*(c - 1)*(3*c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/13*l**4 + 14\/13*l + 10\/13*l**3 + 18\/13*l**2 + 4\/13.\nAnswer: 2*(l + 1)**3*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 11 + 7)*(-5*z + 4*z + 2*z)*(65*z**2 - 43*z**2 + 1 - 129*z**3 - 25*z**2).\nAnswer: -1419*z**4 - 33*z**3 + 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 6274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t = 9*t + 2. Solve -d + t*z + 8 = 0, -d + 7 = -4*z - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -64  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*i**2 - 14515466*i - 3*i**2 + 14515466*i.\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4*h - 8*a + 108, -h = -4*a - 52. Calculate the remainder when h is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1175, -2349, -3523, -4697?\n\"Answer: -1174*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/2 or -4\/617114557?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from mmmedddmmmmdmdodao.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of a**5\/60 - a**4\/2 + 2*a**3\/3 - 27*a**2 - 195*a. Determine u(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*t + 2, -5*n - 1 = 4. Factor 11 - 2*s - 2*s**3 - 11 + 4*s**t.\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17939087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1152493*a**5 + 7*a**3 + 23*a**2 - 5715*a?\nAnswer: 69149580*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + k**2 + 3*k - 4. Let c = 327 - 306. Suppose 0 = -22*b + c + 45. What is g(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49672388?\nAnswer: 2, 12418097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 46 - 168 + 44 + 36 + 46 + 3*k. Let w(a) = 3*a + 4. Calculate 4*l(c) - 3*w(c).\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59e2 (base 15) to base 7.\nAnswer: 106502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 121672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j + 2. Let i be k(-4). Let b = i - -5. Suppose 4*c = -5*q + 64, -b*q + c + 47 = 12. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 186 - 124. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/132354 and 61\/108?\nAnswer: 264708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10623 + 19279. Is ((-4)\/(-16))\/(4\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2007\/4 - -502. What is the second smallest value in s, 1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 1445*m**2 + 162*m - 147. Let b(n) = -1445*n**2 - 159*n + 149. Let r(d) = 3*b(d) + 2*u(d). Let y(g) = -19*g**2 - 2*g + 2. Calculate 2*r(q) - 153*y(q).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*-148.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2. Let x(c) = -c**2 - 3*c. Let d(j) = 143*j**2 + 234*j. Let q(v) = d(v) + 78*x(v). Determine u(q(i)).\nAnswer: 8450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 43*l + 7. Let t be p(4). Suppose -t + 172 = -o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**3\/7 - 76452*y**2\/7 + 6819894*y\/7 - 6743440\/7 = 0. Calculate y.\nAnswer: -38315, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + j**2 - 1. Let p(l) = -4*l**3 + 4*l**2 - 4. Let n = 269 + -270. Calculate n*p(m) + 4*q(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.341977 litres in millilitres?\nAnswer: 9341.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70695.\nAnswer: 3, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -2)*(-2 + 5)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 751209?\nAnswer: 3, 250403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7991\/82 less than or equal to -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**5\/4 - 15*k**4\/2 - 181*k**3\/4 - 24*k**2 + 77*k = 0. Calculate k.\nAnswer: -22, -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 15 - (12 + -38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 286 * 0.0591902\nAnswer: 16.9283972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -187363910+-0.05083\nAnswer: -187363910.05083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -170085*c**3*h - 144545207*c**3 + c**2*h - 116*c*h wrt h.\nAnswer: -170085*c**3 + c**2 - 116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.8+0.284\nAnswer: 1.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, e: 1}. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**7*q*q\/((q\/q**(-7))\/q)*(q*q*q**4*q)**(3\/2))**(-12) assuming q is positive.\nAnswer: q**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r + 30573 - 30543 - r to o + z*r and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -2*w**3\/3 + w**2\/2 + 12*w - 36. Let p be y(3). Let m(r) = -2*r + 5. Let n(v) = 7*v - 14. Give p*n(i) - 8*m(i).\nAnswer: -5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4343 and 203003?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -79 - -80. Solve 5*z = 11 - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -28*y - 8*y - 34*y + 2*y. Let q(s) = 2*s + 307 - 307. What is t(q(i))?\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -50?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(972)*-3 - sqrt(972) - 1*1*sqrt(27))\/(-2*(sqrt(324) - (sqrt(324) + (sqrt(324)*-2 - sqrt(324)) - sqrt(324))) - -1*-2*sqrt(324)).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 46*t**2 + 1374*t - 64627. Determine o(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -1)\/(-1 + (-4)\/(-6)). Suppose 0*c - l*c = -177. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5 - 51. Is 7 a factor of 92\/(-161) + 918\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 285*z - 3452*z + 1 - 7785*z.\nAnswer: -10952*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16448, 16449, 16450?\nAnswer: 16451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -4, 17, -14, 4 in descending order.\nAnswer: 17, 4, -1\/7, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -g**4\/12 - 4*g**3\/3 + 6*g**2. Let y be h(-6). Suppose -y*t + 101 = 4*f + f, f = -t + 24. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 2*v + 2. Find the third derivative of 10*d**6 + d**2 - v*d**6 - 3*d**6 - 3*d**6 wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -800*b - 81245. What is s(-103)?\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 159 + -22. Suppose x = 4*b + 9. Let w = b - 19. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q**2 - 4*q**2 + 2*q**2 + (4*q**2 + q**2 - 4*q**2)*((4 - 4 - 1)*(-5 + 2 + 1) + 2 - 1 + 0 - 4 + 4 - 10) to the form j*q + l + v*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-4))\/(15\/(-25))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 1225*y**4 - 105*y**3 - 1515*y**2 + 425*y - 30 = 0. Calculate y.\nAnswer: -6\/5, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from uquuzquuuuqumuzqzm?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**3. Let d(b) = -11*b**3 - 15*b**2 - b + 82. Let k(c) = d(c) + 5*u(c). Let p be k(-14). Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 4:36 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -1\/4, 5, -1\/353?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 6272*b = -6277*b + 22, 4*f = 42*b + 20 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/4*88\/(-12). Let j be n + -3 + -1 + 1 + -4. Solve 11 = -5*m - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 3*b + 15249, -4*u = -14*b + 12*b - 30538. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 1.18, -6574, 6?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14141772 is divided by 1038.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 4*g - 2639988 = 0. Let o be 1\/(-4) + g\/16. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.16, -283, -5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.019 + -0.019. What is the closest to q in 3, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a hour in seconds?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/5  (b) 1\/5  (c) -7.3  (d) -32  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**3 + 2*h**3 + h**2 + h**3 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*m - 4*a, m - 2*a - 15 = 3. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -6*u**3 - 657*u**2\/2 + 87*u + 495\/2 = 0?\nAnswer: -55, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.245 + 2.2. What is m rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -799369 less than -0.03?\nAnswer: 799368.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 135224 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 3. Suppose s*f - 20 = 52. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b**2 + b - 2. Let v be z(2). Let n = -12 - -16. Suppose 1 = 3*m - n*m, 2*m + 6 = 2*r. Solve 4*u = 4*x - v, -r*x - 7 = 5*u + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*d + 163*d + 31*d - 5004 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**3 - m + 2. Let l be j(-2). Let t = -13 + l. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -14688194, -14688178, -14688160, -14688140, -14688118, -14688094, -14688068?\n\"Answer: t**2 + 13*t - 14688208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.46 times 106\nAnswer: 154.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 13*g = -52. Suppose 5*t - g*t - 6*t = 0. Suppose l - 5*l + 356 = 2*j, t = 4*j. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 2*c + 16 = -4*d, -3*c = 2*d - 16. Solve g + d = 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1392912658 to the nearest integer?\nAnswer: 37322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -113 + -82 + -49 - -113?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14609 - -2)*1\/(-6). Suppose 5*a - 25 = 0, 2*k + k + 7297 = 5*a. Let s = r - k. What is the common denominator of s and -46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -3060b?\nAnswer: 3060b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*z + 0*z - 992904*z**2 - 29*z.\nAnswer: -992904*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - g + 21 - 33, -4*t = 2*g + 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 5  (b) 52\/7  (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 41.92.\nAnswer: -12.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 153*f**3 - 40*f**2 - 4*f - 5. Let q be k(4). Suppose -8*s - q = -31*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n**4 - 1052*n**3 + 72224*n**2 - 1157392*n + 2034240 = 0 for n.\nAnswer: 2, 20, 78, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o + 86 - 73 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 434925230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 173918773 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87292 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 549*x**2 - 2741*x - 22. Give n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 22*h**2 - 22*h + 22. What is n(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 12. Solve d*p + p = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 0 + 0*c**2 + c + 0*c**5 + 1\/18*c**4 - 1\/18*c**3 + 1\/126*c**7 - 1\/45*c**6. Factor f(x).\nAnswer: x*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 19*l**2 - 8*l + 18. What is the thousands digit of g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3672 and -1?\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 17*u**2 + 17*u - 13. Let z = -21 + 18. Let q be (-3*(z - (-6 + 2)))\/(-3). Let k(g) = -23*g + 27*g - 2 + 4*g**2 - q. Determine -26*k(r) + 6*n(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*k = -2*u + 25, 0 = -u - k - 33. Is 21\/u - 5596\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 196 and -0.2.\nAnswer: 195.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)\/sqrt(2) - sqrt(55))*-6 + sqrt(55))\/(sqrt(5) + sqrt(135)\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 8:18 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, -5, -1, -520, 5, 0 in descending order.\nAnswer: 5, 0, -1, -5, -31, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 2\/15, -676, 50?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 - c4?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4517109454 to the power of 1\/2, to the nearest integer?\nAnswer: 67209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28626.9045 + 28562. Let p = h - 10.1545. Let n = -75 - p. Round n to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 20*q**2 - 33*q + 31. Let l be i(1). Solve -2*u + 2*o + 2*o = l, 0 = u - 4*o + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-15))\/((-669)\/51290)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184426 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, b: 2}. What is prob of sequence jjjb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25305, -50112, -74417, -98220, -121521?\nAnswer: -144320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -208 and 0.00151.\nAnswer: -0.31408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8487 and 1242218?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1387 + 4390 = 11*p. Calculate the greatest common divisor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9\/13 + -115\/91. Let i = -1.1 + 1.2. Sort q, -0.2, i in increasing order.\nAnswer: q, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 606 - 411. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(171)*1 + sqrt(171) + sqrt(171) - (sqrt(171) - (sqrt(171)*-1 - sqrt(171))*-1))\/((sqrt(144) - -3*sqrt(144) - sqrt(144))*6).\nAnswer: -sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from 4759637.\nAnswer: 4759637.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*sqrt(45)*-2 + sqrt(45) - -2*sqrt(720))\/((sqrt(396)\/(sqrt(11)*-2))\/sqrt(4)).\nAnswer: -66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.08 - -0.09. Let p = x + -0.07. Let s = -0.1 + 0. What is the closest to p in 3\/5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*r)*(-r - 1 + 1)*(-1 + 0 + 2).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18660505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: (-2133)\/(-1422)*(-1)\/1*4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.048 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 72\/18*(6 + -2). Solve 0 = q*b - 14*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14489784 by -1811223.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*o + 42*o = -9. Suppose 5*k - o*k = 0. Suppose k*r - r - 451 = -2*s, -5*r = -5*s + 1140. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + z - 5*z)*(1 + 4 - 1) - 3*z + 2*z + 3*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 123200243 (base 5) to base 8\nAnswer: 2224011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -161 - -104. Let r = d - -66. What is the remainder when r is divided by (-2 + 0)*(-7)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 4*a**2 - 4*a - 16. Let o be t(-4). Suppose o = -9*u + 7*u + 108. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -2.2. Let j(t) = -3*t - 19. Let p be j(-9). Let r be p\/36*(-9)\/12. Which is the biggest value?  (a) k  (b) r  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of k**8\/6720 - k**7\/840 - k**6\/720 + 23*k**4\/12 + k**3\/3 - 56*k. Let d(h) be the third derivative of b(h). What is d(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*u - 2432 = 325*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1100 (base 7) to base 3\nAnswer: -112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aeaa when four letters picked without replacement from eeeeeaeaaeaeea.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 1:40 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 503*a**4 + a**3 + a**2 - 18*a + 29.\nAnswer: 12072*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 448 divide 290154506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 8, c: 6, x: 3}. What is prob of picking 1 c, 1 x, and 1 p?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(931) + 3 + -4.\nAnswer: -2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) -0.5  (b) -2\/13  (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -9*q - 271. Let w be p(-29). Let k(z) = z**3 + 11*z**2 + 10*z + 9. What is k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/6*((-1)\/((-3)\/1))\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-950)\/3990 + -1 + -1 + (-88)\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 4*t = 13, 13*m - 14*m - 4 = t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1326 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 16, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 53*y - 48*y. Let f(w) = -5*w**3 + 4*w**3 + 2*w**3. Determine f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13158 and 90?\nAnswer: 65790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((70\/(-56))\/(-5))\/(-1). Which is the nearest to -5?  (a) 4  (b) f  (c) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -47 in -1, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.68883 rounded to 2 decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76715 and 2680?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.26 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*n - 136*n + 1105629 = -2113847. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 at most as big as -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(425) + 3))**2 - sqrt(425))*6.\nAnswer: 690*sqrt(17) + 10416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v - 4*v + 2*v)*(1 - 1 + 2) - 3*v - 5*v + 4*v + (14 + 4 - 4)*(-6*v + v + 3*v) to p + q*v and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34924873214529*u**2 + 23638908*u + 4.\nAnswer: (5909727*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - 0 - (-4 + 4) - (379 - 389)) + -18.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x**3 - 90*x**2 + 459*x + 416. Is w(-79) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 185, 1, -5, 3, 21 in descending order.\nAnswer: 185, 36, 21, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -j - 17, 4*j - 17 = 3*y - 55. Suppose -3*n + 0 = -y. Let -41 + 35 - 3*f - f**n + 4*f**2 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 216204448 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 45*q**3 + 529*q**2 - 760*q + 268. Let i(p) = 90*p**3 + 1057*p**2 - 1520*p + 534. Let t(c) = -7*d(c) + 4*i(c). Determine f so that t(f) = 0.\nAnswer: -13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 584.133 + -588.1. Let z = -0.033 + q. Which is the closest to 0.1?  (a) z  (b) 2\/7  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 8:47 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -6  (c) 3\/2  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -157 * -11\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 285 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 2.8. Let n = 17753 - 17751. What is the closest to n in f, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27415 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - -5)*(-6)\/(-10). Let f be 1\/(0 - 2\/12). Let j be f\/33 - (-4)\/22. Solve j = a - k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19572)\/(-462) - 20*3\/165.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2 + sqrt(320)*2 + 4 - 3*2*sqrt(320)*1))**2.\nAnswer: -2048*sqrt(5) + 81984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, x: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -88, -7\/2, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*g**3 + 40*g**3 + 13*g**2 - 16*g**2.\nAnswer: g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c**2 + 4*c + 3. Let b be j(-1). Let s(n) = -2*n. Let v be s(b). Solve 0*x = 4*x - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, j: 2, n: 1, u: 3, s: 3, k: 2}. What is prob of picking 1 j, 1 s, and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 828 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*1\/(-2) - -2. Let r(o) be the first derivative of -9 + 5*o**y - 35*o + 35*o. Let p(t) = -2*t. Calculate r(p(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3980 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 times 8.6?\nAnswer: 103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -9 - 6*i + 3*i**2 - 3*i**2 + i + 3*i**2. Does 19 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -25. Let c(a) = -a**2 + 3*a + 3. Let x be c(w). Suppose x*i - 312 = -i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 3 + 3)*(-3*q + 5*q + 0*q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1018, 1, 0, 35, 9 in increasing order.\nAnswer: -3, 0, 1, 9, 35, 1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -3618?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2049*j + 8188. Give c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*l = 3*m - 41*l - 4, 3*l = -4*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -16 - (-3 + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 275 = 3*x + 2*x. Let w = x - 19. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 268 + -1. Let d = 164 + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 1 - 1)*(2*y**2 - y**2 + 0*y**2).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -94777*i*t + 430486*i - 3*t**3 wrt t.\nAnswer: -94777*i - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 243, 331, 445, 591?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3\/8, 88, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*o + 43 = 0, -6*l - 3*o = -2*l - 133. Suppose 4*m - 3*k - 473 = -95, 457 = 5*m + 4*k. Calculate the highest common factor of m and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4695 + 25*c**4 - 4695 + c**3)*(2*c + 9*c - 7*c)*(8 - 4 + 4)*(4 + 0 + 1) + 2 - 2*c**3 + c**5 - 2.\nAnswer: 4001*c**5 + 160*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1115*5.\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 6 + 2*n**2 - 8*n + 11\/3*n**3 - 1\/4*n**4. Let y be q(10). Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y**3 + 0*y**3 - y**4 + 3 - 4*y**2 - 5 - 3*y**2 as o*y + c*y**3 + m*y**2 + g + q*y**4 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.160407 take away 38759?\nAnswer: -38781.160407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-17)*c)\/c**(1\/14)*(c*c*c**(-27)*c*c*c)\/(c\/(c*c**(-4\/7))) assuming c is positive.\nAnswer: c**(-527\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17229 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from vcvvcvacvvavac.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 55.77895 millilitres?\nAnswer: 0.05577895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 21, 28, 39?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 251, 743, 1547, 2651, 4043, 5711, 7643, 9827?\n\"Answer: -2*y**3 + 168*y**2 + 2*y + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 102720*v**2 + 3259*v + 113 wrt v.\nAnswer: 205440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 2965653 and 50416110\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -4  (b) 5  (c) -13  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 109423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4*-2*sqrt(88) - (sqrt(88) - -6*(sqrt(88) + sqrt(88)*-2))))\/(sqrt(8) + 4*sqrt(8)*-1 - sqrt(8)*2*-6).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4 - 2731072*s**3 - 1864685836222*s**2 + 3729379865664*s - 1864691298369.\nAnswer: -(s - 1)**2*(s + 1365537)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 940 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*w + 7*w = 4*w + 20*w + 6160 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -4*o - 2 + o + o**2 - 2*o. Let k be w(6). Suppose -5*i + j + 117 = 2*j, -3*j - 105 = -k*i. Solve -4*t - 4 = 4*h, -2*t = -t - 4*h - i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1547)\/(-357)*(-33)\/(-2288)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -164, -287, -412, -539, -668?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 - 3*r + 3*r + 2*r**5 + (0*r**4 - 4*r**4 + 8*r**4)*(-51 + r + 28*r + 48).\nAnswer: 118*r**5 - 12*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 2:11 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-49 - (-29 - -5)) + 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c - 10*c = 21. Let j = 11 - c. Suppose -2*x - 30 = -j*x. Solve 5*y - 5*w - x = 0, -2*w = -2*y - 3*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164800.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 4 = -5*i + 5*d, 5*d - 20 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7557767 and 1?\nAnswer: -7557767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 85791433, 85791434, 85791435, 85791436?\n\"Answer: i + 85791432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 5*d = -5, 4*z - 16 = -2*d + 3*d. Let j = z + -3. Suppose 3*f - 26 = -j*n, 5*f + 0*n = -n + 34. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34049350 take away -115?\nAnswer: -34049235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of 17*n**8\/336 - 19*n**4\/24 + 11*n**2. Find the second derivative of z(o) wrt o.\nAnswer: 340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -159, 0.4506 in decreasing order.\nAnswer: 0.4506, -4, -159","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 27*q + 143. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-7\/5)\/((m\/(m*m\/(m*m*m**(1\/23)\/m)))\/m*m*m)*(m\/((m**(2\/51)*m)\/m))\/(m**(-1\/20)\/m) assuming m is positive.\nAnswer: m**(-10151\/23460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1366, -1, 1, -44, 3 in descending order.\nAnswer: 1366, 3, 1, -1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 4:07 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w + 25. Let g = -78 - -72. Let d be u(g). Solve -3 = -k - 5*a, -3*a = 2*k - d*a + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d + 2*w - 10, 0*w - w - 1 - 1 + 4 = 2*d + 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g**3 + 2*g - 2*g)*((0 - 3 + 1)*(4 - 2 + 0) - 2 + 4 - 3) to q*g**3 + j + z*g + s*g**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1\/(-3)*(-23 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369622531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 69.5?  (a) -2\/9  (b) -11  (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**5\/5 - 3*l**4 + 10*l**3\/3 + 6*l**2 - 11*l - 8. Factor r(d).\nAnswer: (d - 11)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*v + 3*o, 30 = -6*v + 3*o + 72. Put 84, 70, v in decreasing order.\nAnswer: 84, 70, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15407.5 - -15408. Let k(z) = z**3 - 5*z**2 - z - 5. Let s be k(5). Let j be (-1)\/(s\/16*-2). What is the smallest value in x, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 468284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4274 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/31)*y**(-8) assuming y is positive.\nAnswer: y**(-247\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -166 + 151. Suppose 2*z - t - 385 = -q*z, 0 = -2*z + 5*t + 177. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + 3*1*-6*sqrt(720)*-5*4)**2.\nAnswer: 8640*sqrt(5) + 93311997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -62615272543\/685203984 - -1\/4758361. Let o = 1591\/16 + r. What is the common denominator of (-3)\/16*(-202)\/(-6) and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -788.2762 rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13919*h - 14709*h - 16590 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 2*x + 16 = 0, 6*r - 5*x - 30 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 8*z + 10. Let q be (3 - 1) + (-11)\/(-1). Let b = 15 - q. What is the remainder when z is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -8 - (-18 + -94). What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/16*32\/(-60). Factor 4\/9 + x*n + 2\/9*n**2.\nAnswer: 2*(n + 1)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -15*r**2. Let v(k) = 24*k**2. Determine v(d(t)).\nAnswer: 5400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10999445*h**4 - 2367*h**2 - h - 1506.\nAnswer: 263986680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*p**3\/11 + 1336*p**2\/11 + 3556*p\/11 + 2960\/11 = 0 for p.\nAnswer: -740\/149, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -262912108*h**2*v**3 - 2*h*v**3 + 2790*h*v**2 - 27*h*v - 6*v**3 + 26*v**2 wrt h?\nAnswer: -525824216*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 225905*o**2 - 563357 wrt o.\nAnswer: 451810*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + 8*v**2 + 11*v - 16. Give h(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252112043.\nAnswer: 37, 53, 128563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/9900 and -173\/3960?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 4*r = -52, 3*w + 3311 = 56*r + 2347 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.5269 minus 42.545?\nAnswer: -41.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.61111 weeks in microseconds?\nAnswer: 17908799328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 2:18 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-5 - -7) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 2*h**2 + 0*h**2)*(141 + 17*h - 77 - 72).\nAnswer: 17*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*b + 3*d, -4*b + 13 = 6*d - d. Solve -b*n = -9 + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 35. What is the remainder when p\/(-6)*15\/(-2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 - 92*a + 517. Determine p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 4*c - c. Suppose 0 = -4*f + 304 - c. Suppose -i = 2*i - f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.28 - -0.02. Let z = -1 + 0.7. Let o = -0.3 - -1.3. Which is the third biggest value?  (a) z  (b) t  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 9*g**2 + 12*g - 8. Let z be k(8). Suppose -c + z = c. Let v be 4\/26 - c\/78. Solve 4*p + p + 5 = v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 3 + 0*i**3 - 1\/2*i**4 - 4*i + 3*i**2. Factor y(u).\nAnswer: -2*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53*i**5 + 14*i**3 - i**2 + i - 1463?\nAnswer: -1060*i**3 + 84*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of 29*f**3\/3 - 23*f**2\/2 + 25*f. Is b(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000111365 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 + 0. Let g = -255 + 1281\/5. Is l at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -b7931?\nAnswer: -b7933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -9*u**2. Let y(x) be the second derivative of 17*x**4\/24 - 53*x**2\/2 + 111*x. Let b(w) be the first derivative of y(w). Calculate o(b(z)).\nAnswer: -2601*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 16*n**2 + 8*n + 27. Give u(-8).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103 + 105. What is the third derivative of -8*s**n - 18*s**3 + 0*s**2 + 37 - 39 wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109*k**2*v**3 - 868*k**2*v**2 + 15*k**2*v - 5995*k*v wrt v?\nAnswer: 654*k**2*v - 1736*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 99 - 64. Suppose -7*i + 10*i - 1155 = 0. Calculate the greatest common divisor of i and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9821100 rounded to the nearest 100000?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 8 = -4*z. Let d be (-2)\/(-8) + z\/(-4). Suppose 3*m - d = 11. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 11 = -4*j, 48*j = 46*j - h + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20\/(-15))\/((-2)\/15). Let r = -152 + 0. Let w = r + 262. Calculate the greatest common factor of l and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -1.3. Let s = -20 - -41\/2. What is the second smallest value in 1, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = s + 2*b, -5*b - 18 = 4*s + 4. Is 11 a factor of s - (-8)\/(24\/57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*s = -35*s - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4180451, -16721803, -37624055, -66887207, -104511259?\nAnswer: -150496211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -46080000 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 1)\/(2*1). Suppose -4 = -3*i + o. Factor 18*r**2 + 22*r - 1 + i + 3.\nAnswer: 2*(r + 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 1263900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26055615333 + 635*g**3 - 26055615333.\nAnswer: 635*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) 6  (c) -86  (d) -5  (e) -4  (f) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8313.8 and -342823.\nAnswer: -351136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5965469163.8566+-0.03\nAnswer: 5965469163.8266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 3*k. Suppose 0*v - v + 123 = k. Suppose 5*a - v = -3*m, -3*m - 3*a + 41 = -2*m. Is m a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*y + 604088 = 87746, 3*y + 2581798 = 5*g. Let q be 5\/(945\/g)*(-3)\/(-956). Let i = q + -230\/239. What is the common denominator of i and -41\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (150\/8)\/((-102)\/272)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -48, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 - 54*m + 68*m - 2*m**2 + 23.\nAnswer: -4*m**2 + 14*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3))\/(8\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1398 - -1974. Let i = -310 + m. Suppose -3*v - 5*o = -i, -5*v + 4*o + o = -510. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.579 - -3.421. Let p = -59.3 - -57. Let t = -2.2 - p. Which is the third biggest value?  (a) g  (b) -5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 4*f = -16. Let s(t) = 2*t**2 + t + 1. Calculate the remainder when 6 + 146 + -4 - (2 + 0) is divided by s(f).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, d: 1, y: 5, i: 1, o: 2, k: 6}. Give prob of picking 1 o and 3 k.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1075172506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -30*x - 1632. Calculate i(-53).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**3 - 7*f**2 + 6*f + 10. Let d be k(-4). Suppose 2560 = d*r + 2*r. Round r to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1513741 is divided by 48830?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1705892369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - -23) + -1 + -6 + 10 - 34.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 1210*z + 29759. What is o(25)?\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*t + 6*t**4 + 19*t**4 + 12*t**4 + 1 - 25*t**3 + 8*t**4 - 43*t**4 to q*t**2 + l + j*t**4 + w*t**3 + u*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -21. What is the remainder when 34 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/2)*i**(-3\/5))**(1\/17)*(i**7*i*(i*(i*i**0)\/i)\/i)\/(i\/(i*i**2)*i**(-1)) assuming i is positive.\nAnswer: i**(1859\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612577040.\nAnswer: 2, 5, 1973, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/2135, -7885, -3.\nAnswer: -7885, -3, 2\/2135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4526, 9030, 13534, 18038, 22542, 27046?\n\"Answer: 4504*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11477?\nAnswer: 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/8 and -40\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 70165.98 centuries?\nAnswer: 84199176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4512 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 30 and -38564297.7.\nAnswer: -38564267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -35848, -54908, -86674, -131146, -188324, -258208, -340798?\n\"Answer: -6353*o**2 - o - 29494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237566418 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6878 = 197*l - 771 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(-12 - -6) - (5 + 962 + -2). Do -965 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -321*a**2 + 434*a**2 - 123*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 303, 752, 1201, 1650, 2099?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5b6 + 3?\nAnswer: 5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 9*l**2 - 7*l - 10. Is 25 a factor of y(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1527*t**2*z**4 - 77*t**2*z**2 - 29*t**2*z - 2*z**4 wrt z.\nAnswer: 36648*t**2*z - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qcy when three letters picked without replacement from {q: 6, x: 4, y: 2, c: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -74\/5, -1, 1\/4, -8596?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4274 + -2731. List the prime factors of q.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-2)*(-3)\/9. Let u = 2 - y. What is the greatest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, g: 1, z: 3, o: 2, m: 3}. What is prob of sequence zg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7010027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1188 - 7063\/6. What is the common denominator of r and 93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228257 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 111077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**4\/24 + q**2. Let w(t) = 4*t**2 + 3*t**2 - 14*t**2 + 11*t**2. What is w(m(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27 by 13064.\nAnswer: -27\/13064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -5. Let d be (-1)\/13*(-2 + 4). Put -3, d, k in descending order.\nAnswer: k, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 60. Let x be u(29). Let b(t) = -123230*t - 130. Let s be b(x). Round s to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(2\/19)*(((o*o*o*o*(o*o\/(o\/(o**(-2\/11)*o)))\/o*o*o)\/o)\/o)\/o*o\/(o\/(o**(1\/15)*o))*o\/(o**(-6)*o*o) assuming o is positive.\nAnswer: o**(34454\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10651*f*i**4 - 2*f*i**3 - 5*f*i**2 + 1205*f - 157*i**3 + 43*i**2 + 3*i wrt i.\nAnswer: -255624*f*i - 12*f - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5187427 (base 10) to base 3.\nAnswer: 100202112210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13617\/3223 + -14\/293. Let f be (88856\/4535)\/((-12)\/2). Let s = 1\/907 - f. What is the common denominator of a and s?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ypmy when four letters picked without replacement from {k: 1, p: 1, m: 1, e: 1, z: 1, y: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 320467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*p - 5*p + 5. Calculate the common denominator of 109\/18 + -1*(p + 0) and (-6)\/(-16)*(2 + -28).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1291451 is divided by 8969?\nAnswer: 8884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p + 4*p - 2*p**3 + 3*p**3 + 9*p**2 - 9*p**2 + (2*p**3 + 16*p**3 + 6*p**3)*(-2 - 4 + 2) - 2*p + 2*p + 2*p**3.\nAnswer: -93*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*o = -o - 38, -5*h + 145 = -5*o. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -45?  (a) -6  (b) 1\/8  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/49, 76\/15, 32, 0.3.\nAnswer: 2\/49, 0.3, 76\/15, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*h**3 - h**2 + 51*h**3 + 16*h**3 - 29*h**3 + 1 - 57*h to a*h**2 + w + j*h**3 + c*h and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96) - (sqrt(96) + (sqrt(96) - sqrt(96)*1)))\/(sqrt(72)\/(sqrt(9)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*b - 5 - 3 = 0, -2*b = 3*o - 4. Solve 12*k = 13*k - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(32\/(-504))*(456\/(-36) - -13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 8:58 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15354, 15169, 14984, 14799?\n\"Answer: -185*i + 15539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9487*m = -9496*m - 54. Sort -1\/5, m, -27, 0.3 in increasing order.\nAnswer: -27, m, -1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -31\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 40 - -659c4?\nAnswer: 65a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*n = 41*n - 168. Calculate the greatest common factor of n and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {l: 2, s: 3, x: 1, b: 6, d: 4, w: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130794136 is divided by 713.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114903 - 1396.\nAnswer: 113507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070 is divided by 473?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 3:58 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 153a - 24047?\nAnswer: -22a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - w = 4, 6*h = h - 2*w + 6. Let l = h - 5. Calculate the remainder when 10 is divided by ((-54)\/(-24))\/(l\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1 + sqrt(98) + 1 - (sqrt(98) - (4*(sqrt(98) + 0) - sqrt(98)))) + (sqrt(98) - (sqrt(98)*1 + -5)) + 5)**2.\nAnswer: -4104 - 2016*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -z - 81 + 9, -z = 4. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14428 divided by -92?\nAnswer: 3607\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -17266 * 0.01\nAnswer: -172.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31 + -13. Calculate the least common multiple of 2 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 - c**3 + 0*c**3)*(1 + 2 + 7).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/12*-3 - -2. Suppose d = 3*s - 9. What is the nearest to 0.2 in s, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v - 2*v + 4*v)*(5 + v - 5) + 0*v - 2*v**2 + 0*v - 72*v**2 + 4561*v - 4561*v to the form g*v + p*v**2 + x and give p.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g - 7 = 2*l - g - 8*g, 0 = 5*l + 2*g + 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -936\/5027 - -2\/457. Suppose 53 = 7*o + 81. Which is the nearest to 0.1?  (a) o  (b) n  (c) 32  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 24*w**2. Let g(s) = -79267*s**2 - 37*s + 1. What is g(f(h))?\nAnswer: -45657792*h**4 - 888*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3*(sqrt(176) + -2).\nAnswer: -10 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 73 + -6?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 143 = 161. Solve s + 22 = -5*u, i*u - 15*u + s = -12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*j**3 + 8*j**2 - 77374*j + 3347606.\nAnswer: 9*j**2 + 16*j - 77374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 18*t**2 - 2*t - 21. Let x be z(-18). Let v(u) = -u**3 + 18*u**2 - 41*u - 46. Does 4 divide v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d + 16*d**2 + 73*d - 3 - 79*d as m*d**2 + h + i*d and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 80\/24*2\/74. Let y = 4633137\/5 + -3599951539\/3885. Let x = y - c. What is the common denominator of x and 13\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 88, 161, 282, 451, 668, 933, 1246?\n\"Answer: 24*f**2 + f + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 25066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 9) + 7 - -11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 0)*(1 - l**5 - 1) + 4*l**5 + 0*l**5 - 3*l**5)*(-1 - 1 - 1).\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w + 5. Let h be k(-5). Let b = -632\/5 + 126. Let x = -3.7 - -1.7. What is the nearest to b in -2\/5, x, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(4\/7)\/u)\/u**(2\/35)*(u*u*u**(-8)*u)**8 assuming u is positive.\nAnswer: u**(-1382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64319, 5\/3, 0.3 in decreasing order.\nAnswer: 5\/3, 0.3, -64319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4200552 (base 6) to base 7\nAnswer: -1502024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000019708532 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2 + t - 19 + 12. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-3)*(-3 + 6). Suppose -t - 8 = y. Sort t, -1, 1 in descending order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-75)*-12)\/(-4*4\/(-160))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 78 and 4658865.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59 - 57*u**3 + 2348*u**2 + 2*u + 60*u**3 - 2347*u**2 to the form x + i*u**3 + n*u**2 + b*u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/2 + (3 - 10\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13767458, 5, -1 in ascending order.\nAnswer: -1, 5, 13767458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by 23290.\nAnswer: -13\/11645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 68016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.4 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104567?\nAnswer: 17, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11935918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -413737 - -27190.4047?\nAnswer: -386546.5953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -12, 446, -2, 1, -1 in descending order.\nAnswer: 446, 1, -1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0) + -4 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 325075 (base 11) to base 14\nAnswer: d72ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -3*n + 11. Let a(c) = c**3 + 20*c**2 + 20*c + 22. Let o be a(n). Suppose o*z + 8230 = 3*q - q, -3*q + z + 12331 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - -5 - (-5 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33640361071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 290\/(-580)*-2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 25 = -2*t + 3*t - 19, 13*z + 78 = 3*t for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2 + sqrt(1539)) + sqrt(1539) - (sqrt(1539) + sqrt(1539) + -2 + 4))**2 - ((6*(sqrt(1539) - (sqrt(1539) - (3 + sqrt(1539)))) + -2)*-5)**2.\nAnswer: -1352925 - 42300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1034048 and 111\/2354.\nAnswer: 11374528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 33213 divided by -4\nAnswer: -33213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-2\/33)\/v**7*(v*v**(-3\/10))\/(v**(1\/5)*v*v*v) assuming v is positive.\nAnswer: v**(-631\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -5*c - 2. Let y be ((-15)\/(-12))\/(2\/8). Let r(t) = 6*t + 5. Let k be r(y). What is the greatest common divisor of k and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45*-5742569\nAnswer: -258415605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4928215.\nAnswer: 5, 17, 37, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -90649935.9 to the nearest ten thousand.\nAnswer: -90650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 4, -4, -0.073?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2203 + 1101 + 1101 + 2*w. Let m(d) = -6*d + 3. Calculate 3*m(z) + 8*s(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 26672?\nAnswer: 26672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 5*b**3 + 116*b**2 + 395*b - 162. Determine r(-19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qpqqpqprrprq. What is prob of picking 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4074c - 16c?\nAnswer: 405e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 11 - 5 - w**3 - w**2 + w - 8. Let k be f(0). Let m be 0 + 1 + 0\/k. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/(z*z**(-11)*z))\/z*z)\/z)\/z**(-2\/35))\/(z\/(z\/z**(-11\/3))*z\/((z**(3\/8)\/z)\/z)) assuming z is positive.\nAnswer: z**(8483\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/306 and -35\/2739363?\nAnswer: 16436178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 18 = 2*l, -60*q + 64*q = -l + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 2 + 5 + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4\/27, 7750 in increasing order.\nAnswer: -4\/27, 1, 7750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*(-2)\/(-4))\/(-9 - 91\/(-10))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -48*p + 16*p + 24*p. Let l(y) = 2*y. Calculate l(w(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24240 - -3?\nAnswer: 24243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g - 6*g - 10 + 4 + 14*g.\nAnswer: 5*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-5))\/(-7 + (-26)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (308\/33)\/((-42)\/(-315)) and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (125\/(-2250)*(0 - 9))\/(4\/(-136)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1058804852 + 1058804944.99999312. Let n = -93 + p. Round n to 7 decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 6*j**2 - 1820*j + 14745. Determine d(295).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.577 or 149422?\nAnswer: 149422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -5, 11, -0.1, 8 in decreasing order.\nAnswer: 11, 8, 0.3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 0) + 102 + -82 + 4\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 600?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 101010?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o + 53. Let c be r(24). Suppose -6*d = -d + 5*f - 90, 108 = 4*d - c*f. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*8\/(-42)*(-7)\/(-2). Let y(u) = -4 + u - z - 3. Determine y(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46539019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/18))**(-9\/8)*h**(-2\/91)*h*h*h*h*h*h**(-34)*h*h assuming h is positive.\nAnswer: h**(-39253\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 10. Let s be n(-8). Let f = 5 + s. Let g be (2\/2)\/(-3 - 2\/(-2)). Which is the nearest to g?  (a) f  (b) -0.4  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8.72215ns?\nAnswer: 0.00872215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 17*z = 15*z + 103081818, 2*s = 3*z - 34360627. What is s rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27128, 54257, 81384, 108509, 135632, 162753?\nAnswer: 189872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4976*o - 18*o**2 - 18*o**2 - 20*o**2 + 60*o**2.\nAnswer: 4*o**2 + 4976*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19285?\nAnswer: 5, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3230 + 430?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j + 18*j + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -575 divided by 23\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - s + 12. Suppose x + s - 39 = 0. Solve -p = 0, -11 + x = 4*q + 2*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154.1246 millennia to months.\nAnswer: 1849495.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 1\/224831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 + -44. Let i = -58 + 86. What is the remainder when i is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*4*3*(-2*sqrt(1800) + 0)*5)**2.\nAnswer: 103680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-4 - (-17 + 63)) + -11 + -12.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 8*a - 22*a = -9*c - 26*a + 21, -22*c - 2*a + 112 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a microsecond in nanoseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11417 and 2330.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178*b = -5565 - 1911. Let t(d) = d**2 - 4*d - 3. Calculate the remainder when b is divided by t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (215\/25 - -5)\/((-836)\/1870). Which is smaller: -30 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p - 1. Suppose 15 = -0*a + 3*a, 4*y + 5*a - 37 = 0. Let x(k) = 22 - y - 7 - 2*k - 11. Give -3*s(f) - 4*x(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 2*t - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 895536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:39 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 0.9  (c) -3\/2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*w, 2*t - 2*w + 10 = -6*w. Suppose -5*v - 2*b + 117 = 0, -2*v + 49 = b + 2*b. Let q = v - t. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**(-7\/3)*(a*a**(-1\/2))\/a**(-2)*(((a*a\/a**(1\/3))\/a)\/(a\/(a\/a**(-3))))**(-24\/7) assuming a is positive.\nAnswer: a**(-521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6547694 in 0, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**4\/12 + 7*d**3\/6 + 6*d**2. Suppose 12 = 2*z - 0. Let v(w) = -3*w + 6 - 1 + w + 1. Determine z*y(g) - 7*v(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -9. Let u be (5\/15)\/(r\/(-3825)). Suppose y = n - 161, -5*n + 356 = 3*y - u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -586475144 divided by -4\nAnswer: 146618786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21869 + -11182. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 4*k + 3. Let r = -2 - -4. Let z be a(r). Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591270626 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5720.17 and -906.\nAnswer: 4814.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/11*c**3 + 2\/11*c**4 + 0*c**2 + 4\/11*c - 2\/11.\nAnswer: 2*(c - 1)**3*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 32 + 10 = 0. Let l(z) = 0*z + 2 + c*z - 1 - 2*z. Give l(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 10) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/10*a**2 + 16\/5*a + 128\/5.\nAnswer: (a + 16)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-182)\/124488)\/((2\/16)\/(-7 + 6))\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 220023293 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4625110 (base 7) in base 15?\nAnswer: -b63e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l**6\/10 - 9*l**5\/20 - l**4\/4 + 3*l**3\/2 + 7*l. Factor x(y).\nAnswer: 3*y*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 38867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -377 - -160. Let f = 28 - p. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 5*m - 0*y - 32, -36 = -4*m + 5*y. Let n(x) = -14*x - 2. Let s be n(-2). Suppose 0 = g - u - 10, -4*u - s = -m*g + 2*g. Which is bigger: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9687555 is divided by 8767?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -1\/7, -1 in increasing order.\nAnswer: -1, -1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 435 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2613137 to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**6\/30 - 213*g**5\/20 - 147*g**2 + 467*g. What is the first derivative of m(z) wrt z?\nAnswer: -4*z**3 - 639*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/138124371 and 27\/115864.\nAnswer: 1104994968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/15 or -82?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 12:54 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -38*x + 76. Let h be f(-12). Find the common denominator of 4\/14*h\/480 and 99\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.02 + -0.08. Let f = 2 - x. Let m = 0.26 - f. Which is the second biggest value?  (a) 1\/3  (b) 1\/7  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111330 divided by -1.\nAnswer: 111330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 833438?\nAnswer: 2, 416719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(90)*-1)\/(sqrt(40)\/(sqrt(32)\/sqrt(4) + sqrt(8))) - (1*sqrt(288) + sqrt(8)\/sqrt(16))*-4).\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.3, 10\/9 in descending order.\nAnswer: 10\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -0.8. Suppose 55*b + 279 = -224*b. What is the nearest to 0 in b, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 73 = 4*v, 65 = 7*v - 2*v + 5*n. Suppose 5*l - j = -4*j + 15, v = l - 2*j. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3171*g**2 + 10*g + 6767*g**2 + 2836*g**2 - 1781*g**2.\nAnswer: 10993*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 838880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 71971839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 61*x**4 - 13*x**2 - 61*x**4 - x**6 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 250\/211, 0.07, -2\/19, -35, 0.4 in decreasing order.\nAnswer: 250\/211, 0.4, 0.07, -2\/19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) 632  (c) -4  (d) -0.5  (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.4, 2, 0.1, 4\/7, -124\/67, 4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-168*(-52)\/83616)\/(-7).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyafyyayyfay. What is prob of picking 3 y?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 16) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*k = 2, 4*d - 20 = -4*k - 0. What is c in 0 + 2\/3*c**d + 2*c**2 + 2\/3*c + 2*c**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 4*g - 13, -4*g = 4*j + j - 21. Let n = 2 - j. Differentiate -3*c + 1 + n + 0 + 0 wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171) + -1*sqrt(171))*-5 + sqrt(171)*-3 + -4 + ((sqrt(171) - sqrt(171)*-2) + -4 - sqrt(171)) + -3 + 1 + sqrt(171) + sqrt(171) + -4)*-2)**2.\nAnswer: -336*sqrt(19) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -274315, 5\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1299 - 1135. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 20 = 0, -7*d = -2*d + x - 844. Suppose -2*w = 5*l - 206, 3*l + 3*w - 6*w = 132. Calculate the highest common factor of l and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4)*1*76\/209?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 69*u**3 - 7*u**2 + 31*u - 97. What is the units digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -418 - -666. Let w = 248.5 - o. Which is the biggest value?  (a) w  (b) -3  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + 14 + -15)*-5. Let t(s) = -s**3 - 8*s**2 - 11*s + 7. Determine t(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -12*o - 2. Is 24 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/849893 or -1?\nAnswer: -3\/849893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19314 and 16650?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 3, i: 1, f: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4500.58 - 4633. Round g to the nearest integer.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 + -21232022001?\nAnswer: -21232021320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -457, -489, -521?\n\"Answer: -32*r - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bvvftfv. What is prob of sequence tb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 12:46 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + q - 1. Let x(a) = a**3 + 5*a**2 - 7*a + 2. Let h(w) = 4*f(w) + x(w). Determine h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((1 - 3)*6)\/((-3)\/118) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 8 = -2*m. Let o(t) = -9*t**2 - 8*t**2 - 2*t**2 + 7*t**m. Let i(q) = 10*q - 11. Let x(u) = -2*u + 2. Let w(r) = -2*i(r) - 11*x(r). Give w(o(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25.52 + 0.48. Let c = 26.000017 - l. Round c to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1692117 is divided by 1416.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21344 minus 16.1?\nAnswer: -16.31344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + u + 122. Let s = u + 41. Is 10\/(32\/s + 2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2217.\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/((q**(2\/9)\/q)\/q)*q*q*q*q**(-5)*q\/(q*q**0\/q*q)*q*(q**(-3\/5)\/q)\/q assuming q is positive.\nAnswer: q**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (137\/1644)\/(9\/(-8))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -340.343 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -x**3\/6 + x**2\/2 + 101*x. Let s = 164 + -163. Let f(b) = -3*b + 4. Calculate s*f(t) - 2*w(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3075*g**3*s**3 - 18184*g**3*s**2 + 49*g**3*s + 404*g*s**6 wrt s?\nAnswer: 18450*g**3 + 48480*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (-6 - (-3880)\/(-160)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10*(-1)\/10*-4. Suppose -i*l + 10 = -6, 2*p = 3*l + 606. What are the prime factors of p?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/1492 - 55213\/13428. Find the common denominator of k and -29\/357.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*r - 13*r + 38*r - 14*r - 1210 to the form b*r + x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**3 + t**2 - 6*t - 7. Suppose 0*r - 4*f + 18 = 5*r, 5*f = 4*r - 39. Let c(v) = 2*v**3 + v**2 - 5*v - 6. Give r*n(g) - 7*c(g).\nAnswer: 4*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100, 170, 230, 274, 296?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 4  (c) 6.6  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 0, -2, -5, 2 in descending order.\nAnswer: 2, 0, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21734 = -956*k - 1658 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b + 55*b = -64*b - 1512 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2187057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.03 and 2934863062.84.\nAnswer: 2934863062.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - 3)\/(14\/7). Suppose 8*l + 384 - 1136 = g. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9694547 and 3233.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t + 5*v - 446 = 13*t, 446 = 2*t - v. List the prime factors of t.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-7)*w*w)\/w**(-1\/7)*((w*w**(6\/7))\/w*w)\/w**(-1)*(w\/(w*w\/w**(-1\/2))*w\/((((w\/((w*w**(-2\/7))\/w))\/w)\/w)\/w))\/(w\/w**(2\/7)*w)**(-6) assuming w is positive.\nAnswer: w**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161532710 is divided by 4293?\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1\/4  (c) -1\/3  (d) -0.5  (e) 0.2  (f) -169\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 25\/239?\nAnswer: 25\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 1273280 = -3*j, 3*p - 123096 = -5*j + 831875. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385 - 369 = -n + 2*s, 13 = -3*n + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 837818.\nAnswer: 335127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 2. Let m be o(-3). Let r = -18 - m. What is the smallest common multiple of 5*r\/((-140)\/24) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 3:39 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 1, 4, 5, -155, -4, 2.\nAnswer: -155, -17, -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 5:29 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-5*(-1 + sqrt(162) + 5))**2.\nAnswer: 1800*sqrt(2) + 4455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30.859 - 0.141. Let b = a - -32.46. Let v = b + -1.1. Round v to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**2))**(-50)\/(((w\/(w*w**8*w*w)*w*w)\/w)\/w*(w*w**5*w)\/w) assuming w is positive.\nAnswer: w**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 7*p - 8. Let x be i(7). Let k = -9 - x. What is the units digit of (-2)\/(4\/(-10)) - k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2. Let l be 45\/20 - 2\/8. Let u(d) = d - 9. Let m(b) = l*u(b) + 9*i(b). Let p(s) = 2*s. Give m(p(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 396634027 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24299 + -2066217\/85. Let h = 174\/17 + q. What is the third smallest value in 5\/3, 3\/23, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4 = -5*p, -3*p = 1 - 7. Let q = u - 12. Let v be 2*26 + (-2 - q). What is the highest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5741797us in seconds?\nAnswer: 0.0000005741797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 4:06 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 6) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -319856 by 4.\nAnswer: -79964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from lllqllqllqqqqlqlqq.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 142273 and -2644.\nAnswer: 139629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23486.24mm to meters.\nAnswer: 23.48624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-1) - (14 + -10). Let l be 9 + 4 - r - 4. Suppose -3*n + l*n = 120. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 187  (b) 1  (c) -2  (d) 2\/5  (e) 1\/7  (f) 27\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/1685)\/((-116)\/(-145)). Let g = i + -677\/2022. Find the common denominator of g and -32\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183769845.\nAnswer: 3, 5, 7, 250027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 + 11. Suppose -2*u - 15 = 3*f + 6, -5 = 5*f. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45254715 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 7*s - 3*s - s + 6. Let m be o(5). Suppose 4*d - 3 = m. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 790\/110 - (3 + 217\/(-77))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from jjfjl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -233\/8 or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7682*b**2*l**3 - 5*b**2 + 11*b*l**3 + 19697*b wrt l.\nAnswer: -23046*b**2*l**2 + 33*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 10*x - 346. Let z be k(35). Solve 0 = -z*p - n - 6, 8 = -3*p + 4*n - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17475629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -68385502*d**3 - d**2 + 4269986*d wrt d.\nAnswer: -410313012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-6)*243\/54 - (6 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49810\/8 - 48\/(-64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 5:35 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 125335 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -723*s**2 - 179317*s - 3228. Calculate j(-248).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288346890 divided by 6.\nAnswer: -48057815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 10:57 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -220.94551 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -13*u**2. Let f(o) be the second derivative of 11*o**4\/6 + 50*o - 1. What is l(f(z))?\nAnswer: -6292*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 80  (b) -3\/5  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (4 - 0)) + 33 - (457 - 443)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1558 is divided by 1322.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**2 - 1424*f + 1446696 = 0.\nAnswer: -1278, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 105941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2625 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 60, 4 in descending order.\nAnswer: 60, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 201475 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 24215 = 5*p, 3180 = j - 3*p - 1669. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-11 + 12)\/(1\/(4\/1)). Suppose 373 = 3*m + g*o, -o = -2*m + m + 115. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 3*r + 12. Suppose -312 = -0*i - r*i. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12.085 - 13.285. Which is greater: w or -225?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4.1, -3, -1\/5, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-233508)\/101992*(-57)\/2)\/((-3)\/4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -s**3\/3 + 4*s**2 - 11*s + 2. Let u be k(4). Let l be 3*(-2 - (-11)\/u). Sort 0, -3, l.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(2 + 10 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - s - 2*s**2 + 5 + 0 + s**2 + 0*s + 0*s + 0*s**2 + 0*s**2 + s**2 + (0*s + 2*s - 3*s)*(-4*s + s + s) - 3 + 3 + s**2 to v*s**2 + f*s + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4665195 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: What is the next term in -3793, -12859, -21925, -30991?\nAnswer: -40057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8, 229639, -0.3, 0, -21.\nAnswer: -21, -0.8, -0.3, 0, 229639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {r: 1, d: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 - -232\/13. Which is the second biggest value?  (a) 0.4  (b) g  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-13 + -4)*(-1)\/23. Let m = 558\/253 - k. Determine t, given that -8\/11*t**2 - m*t + 0 - 2\/11*t**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1 + sqrt(539)*-1*-2))**2.\nAnswer: -112*sqrt(11) + 8628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2992620*p**2 + 146815*p - 2 wrt p.\nAnswer: -5985240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(272) + -1*sqrt(272) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 5:52 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, k: 3, n: 1}. What is prob of sequence kk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114 + 1365 - 28*g + 29*g.\nAnswer: g + 1479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (32*25\/2400)\/((-4)\/12). Let r(h) = 21*h. Let k be r(-2). Sort k, d, 4 in descending order.\nAnswer: 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335124337 is divided by 4274.\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 211 + -209. Solve -2*r = l*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-14)\/(-3))\/(124\/(-186)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.13  (b) -5  (c) 0.06  (d) -107  (e) -27\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3498371183 to the power of 1\/2, to the nearest integer?\nAnswer: 59147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 159 and 149121277?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yse when three letters picked without replacement from {s: 7, y: 7, l: 3, e: 3}?\nAnswer: 49\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 13. Suppose -20 = w*m - 3*m. Suppose d - 6*d = -35. Calculate the remainder when m is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -113 + 159. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**2 - 15*m - 22. Let s(t) = -4*t**2 - 13*t - 20. Let n(u) = -3*a(u) + 4*s(u). Determine n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = y + y + 18, 5*n + y = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) - ((sqrt(280)\/sqrt(5) - sqrt(56))*4 - sqrt(56)))\/(sqrt(968)*2)*3.\nAnswer: 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 3:34 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -63*a + 65*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*c**3*o**3 - 4*c**3*o + 2*c**3 + 21*c**2*o**3 - 3*c*o wrt o.\nAnswer: 18*c**3*o + 126*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 113, 1169, 4027, 9587, 18749, 32413?\nAnswer: 51479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that i**5\/6 - i**4\/2 + 2*i**2\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1653, 3303, 4953, 6603, 8253?\n\"Answer: 1650*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16991.5 - 16992. Put o, -1, -2\/2251 in increasing order.\nAnswer: -1, o, -2\/2251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(12)\/sqrt(3)) - sqrt(33))\/(sqrt(11) - (sqrt(176) - (sqrt(176) + sqrt(176) + 1*sqrt(176)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126561 is divided by 422?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/17 or 0.00836?\nAnswer: 0.00836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 0)\/((-4)\/106). Let k = c + 77. Suppose -d - 3*d = -4*q - 56, d - 3*q = k. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 54, -2.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1080 divided by 108?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 7:27 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 14) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71217988 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 27 = 7*b, -4*b = -6*b + 5*i - 22 + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2 + (-2 - 3 + 6)*(2 + 3 - 6) - 1 - 1 + 4)*((0 + 0 + 1)*(k - 4 + 4) + (7 - 2 - 2)*(-59 + 59 - 3*k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w. Suppose -y = 1 - 4. Suppose -2*f - 12 = -2*u, -u - 7 = -y*u + f. Determine n(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(147) - (sqrt(147) - (-1 + (sqrt(147)*-1)**2))) + (2 + sqrt(147))*2.\nAnswer: 14*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -509, -534, -571, -626, -705?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 4*w + 1. Let b(p) = 3*p - 20. Let z be b(8). Let n be j(z). Let u be (-218)\/4*(1 + n). What is u rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5*r + 13 - 2, 0 = -3*l - 2*r + 20. Find the third derivative of -160*y**2 + 316*y**2 - y**3 + l*y**4 + 63 - 158*y**2 wrt y.\nAnswer: 144*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8*2\/10)\/(24\/12)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22950, -45902, -68854, -91806?\nAnswer: -114758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.63950276 to 2 decimal places.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - -2*(-2)\/(-12)*-9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/((-6)\/(-110)*22)*(-9)\/2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3173*l**3*v**4 - l**3*v**2 + 2316*l**3 wrt v.\nAnswer: -12692*l**3*v**3 - 2*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 128 = 7. Let d = 26 + r. Let z(s) = -2*s**2 - 10*s + 2. Let f be z(-5). Put f, d, 0 in ascending order.\nAnswer: d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*l = -z + 96, 4*z - 4*l - 416 = 0. Suppose -429*w + 427*w + z = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h**3 - 56944*h**2 + 810654784*h = 0. Calculate h.\nAnswer: 0, 28472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z + 8. Let s = -17 + 22. Let d be x(s). Solve -3*h**5 - d*h**2 + h - h**3 - 9*h**4 - 8*h**3 - h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 40066.089 - 0.0466.\nAnswer: 40066.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of -x**4\/6 - 5*x**3\/3 - 4*x**2. Calculate the smallest common multiple of 14 and b(-8).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9+73595933\nAnswer: 73595924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)*-1)\/sqrt(8))\/sqrt(5)*-3*-1.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**5\/7 - 107*s**4\/7 + 468*s**3\/7 + 14908*s**2\/7 - 30976*s\/7 - 116160\/7 = 0.\nAnswer: -110, -11, -2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 15, -38*t + 55715 = 5*i - 40*t. List the prime factors of i.\nAnswer: 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 6 = p, 4*p + r = 2*r - 3. What is the third biggest value in p, -0.2, 0.12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -6)*(-8)\/(-12). Solve -3*l + 35 = 5*k, -d*l + 16 = 2*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399 is divided by 120.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**2 + 3*c + 1. Let s(f) = 2*f**2 + 3*f + 1. Let y(n) = -3*l(n) + 4*s(n). What is the units digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.6668 and 0.024546.\nAnswer: 0.0900052728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + 6*f - 2. Let v be p(6). What is the hundreds digit of (-249084)\/(-189) - v\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6006213239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-80)*16\/(-88)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t\/t**(-1\/3))\/t)\/t)**1*t*t**(-2)*t\/(t*t*(((t\/t**3*t)\/t)\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -0.1299\nAnswer: -0.06495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(-205*v**4 + 894*v**4 + 1222*v**4).\nAnswer: 1911*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 116 - 93. Calculate the remainder when 108 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9 + -25)\/2 + 13. Suppose -r*u = 4*t - 21, -16*t + 13*t + 14 = 2*u. Solve 0*a - t*z = 2*a - 20, -3*a + 14 = 2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -35. Calculate the greatest common factor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g + 1280 = 97*g. Calculate the greatest common factor of 810 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-18)\/12*154\/(-12) and 419\/(-70) - (-6)\/21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 5*a + l + 186, 4*a - 4*l = -88. Let v = 13 - a. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 3. Let w(g) = g**3 - g**2 - 2. Let l be w(2). What are the prime factors of (a\/l)\/(9\/342)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00110268343 to six dps.\nAnswer: 0.001103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 298*k + 1740. Calculate the remainder when m(53) is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 2:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -113600173 divided by -11?\nAnswer: 113600173\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -8. Suppose 0 = 4*f + y*v - 2635, f = -3*v + 344 + 306. Let c = -34 + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52 + 61. Suppose 14*g - 6 = s*g + 2*k, -9 = -4*g + 3*k. Let r = 12\/229 + -58\/9847. Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of 37*f**3\/3 - 236. Let j(g) = -19*g. Give b(j(z)).\nAnswer: 13357*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -4.5, 4, 11, -2, 8\/3 in descending order.\nAnswer: 11, 4, 8\/3, 0.2, -2, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (506\/(-138))\/((-2)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 1. Let j(z) = -3. Let b(i) = -i**3 + 7*i**2 - 8*i + 14. Let r be b(6). Calculate r*u(l) - j(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*(0 - 33\/(-6)). Suppose 0 = 2*d + 17 - c. Let t(a) = a**2 + 2*a - 3. Let y be t(d). Let n(x) = -x**2 - x - 10. What is n(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 78 + -76. Factor 4\/3*n**f + 2\/3*n**3 + 0 + 0*n.\nAnswer: 2*n**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 429 = -111. Suppose -c + 106 - x = 0. Which is smaller: -12 or c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 57 = -3*w - 6, 0 = -o + 3*w + 29. Suppose 0 = -5*z + 9*z + o. Let r be (1\/3)\/(2 - 1). What is the third smallest value in -4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + sqrt(7) + 4 + (sqrt(7) + sqrt(7) + -3 + -1 - sqrt(7))).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(-5*(sqrt(128) - sqrt(8)) - sqrt(8)))**2 - (5 + -1*sqrt(13) + -2).\nAnswer: -755\/256 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*f + 46*f + 43*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -146*s**5 + 2*s**3 - 603*s**2?\nAnswer: -8760*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 69, -4, 2 in ascending order.\nAnswer: -4, -2, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 186964 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 14 = -10. Find the third derivative of -7*u**2 - 6*u**2 - y*u**3 + 9*u**2 wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 19. Let z be (w\/(-6)*-3)\/3*-10. Solve -z = 4*r - 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 5 + 9 - 8252*n + 8251*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/5 + 143436*q**3\/5 + 5144045236*q**2\/5 + 41145477216*q\/5 + 82286364736\/5.\nAnswer: (q + 4)**2*(q + 71714)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 divided by 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.56 + -5.56. Let y be 16\/88 + (-27)\/88. What is the fourth biggest value in 2\/3, j, y, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*d + 3*d - 2 + 3*d)*(-20276*d + 11860*d + 10690*d) as o*d**2 + z*d + h and give z.\nAnswer: -4548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipw when three letters picked without replacement from bpwewiup?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 9*n - 7. Suppose 8*z - 8 = 7*z. Let i be k(z). Let p(v) = 11*v**2 - 2*v + 1. Determine p(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -740729232 rounded to the nearest 1000000?\nAnswer: -741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 675\/72 + (-3)\/8. What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*u + 22*u + 66127 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 = 4*d + 66*t - 112*t, -3*d = t + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**5 + 1368*d**4 - 17652*d**3 + 50030*d**2 + 142725*d - 609750 = 0. What is d?\nAnswer: -3, 5, 6, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1383 + -973. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 4 = -2*n, 5*k = 4*n - 0*k - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11488 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -80  (c) -2\/3  (d) 3.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-2 + 1 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/3)\/i)\/((i**(12\/7)\/i*i)\/i) assuming i is positive.\nAnswer: i**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -9ad95?\nAnswer: 9ad91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*4\/(-6) + 3. Suppose -u*v + 391 = -64. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -142279.3 - -0.3480667.\nAnswer: -142278.9519333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 5222*w - 1519*w - 1 as m + f*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 86*i = -728 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 7 + 28. Let w = 3 + 1. Solve -3*c = 2*a + f, 2 = w*c - 3*a - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - -15 - 10) + 6 + 120 + 5 + -1\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, e: 1, v: 2, u: 1, t: 2}. Give prob of sequence udt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-12)\/(-21))\/(354\/413))\/(62\/3).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3 - 2 - f + 6*f. Suppose 0*r - 2*r = -5*q + 12, -4*q = -4*r. Suppose q*s = 147 - 123. Calculate c(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26.7 + 7.3. Let n = -33 + s. What is the closest to 0.1 in 2\/7, -16, n, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7316 and 64604.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of -2111*t**5\/60 - 410*t**3\/3 - 367*t**2. What is the derivative of i(q) wrt q?\nAnswer: -4222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39868475?\nAnswer: 5, 29, 127, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*s**2 + 1 - 3)*(-s - 51*s**3 + 64*s**3 + 3*s).\nAnswer: 26*s**5 - 22*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + a - a)*(30*a + 31*a - 38*a)*(-a**2 + 3*a**2 - 3*a**2).\nAnswer: 46*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5428659233?\nAnswer: 19, 285718907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 2. Suppose v*z = -f - 20, 4*z - 8*z = 3*f + 20. Determine p so that f*p + 0 - 1\/4*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 26 = -y - 7, -5*q = 10. Let g(a) = 2*a - 46. Calculate the remainder when y is divided by g(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n - 5. Let d be p(7). Suppose -5*s = -w - 23, 0 = -d*s - 1 + 11. Let b be w\/3*3\/2. Is -1 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -744 - -742. Calculate the common denominator of 16\/g - (-1316)\/147 and 47\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1599916109.\nAnswer: 11, 19, 29, 107, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/153 and 10\/47?\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*j**3 + 4*j - 15*j**3 - j to w*j**3 + i + t*j**2 + v*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 16. Let y(h) = -h + 2. Let z be y(-3). Let o(j) = -2 + 1 + 10*j**3 - 9*j**3 + z + j. What is o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/((n\/n**(-4)*n)\/n*n)*n)\/n*n**(-6))\/(n*n**(-1\/3)\/n*n**(1\/11)))**(-18\/7) assuming n is positive.\nAnswer: n**(276\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203607100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 610108298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 divided by -12587.\nAnswer: -112\/12587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.037 + 4.037. Is 108\/37 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 - 51225*m - 12558436.\nAnswer: (m - 51469)*(m + 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 60 = 5*r + 3*j, -3*j = 0. Let p = r + -3. Let o be (2\/3 + 0)*3. Solve -6*b = -o*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1595629\/322058 - 1\/14639. Let y = -2939 + 23545\/8. Calculate the common denominator of n and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - 12*n**2 + 33*n - 30. What is x(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - x + 30 = 5*y, 21*x - 12 = -2*y + 10*x for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -19) + (620 - 636) - (2 + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 5*i**3 - 4*i**3 + 3*i**3 - 3*i - 5*i**3 - 3. Differentiate j(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.1 - -1.1. What is the closest to n in -0.1, 0.5, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -63144*s**5 - 8*s**4 + 2*s**3 - 4824817*s.\nAnswer: -1262880*s**3 - 96*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - 3\/(-2)*(-40)\/(-30). Solve 4*t - 1 = 2*o + s, -o = -t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111101111 (base 2) to base 8\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z. Let h(x) = -5*x**2 - 2*x - 182085. Give a(h(i)).\nAnswer: 10*i**2 + 4*i + 364170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11520 by -180.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(7625\/183))\/((-18)\/20).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.87 + -0.23. What is the second biggest value in b, -1\/9, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - 8*b + 4. Calculate the lowest common multiple of 18 and l(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -6, -133, 32, 0.2, -2\/11 in descending order.\nAnswer: 32, 0.5, 0.2, -2\/11, -6, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*t**6 - 40*t**3 + t**2 - 34*t.\nAnswer: -240*t**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 3*n - 13, -4*p - 14 = -p + 2*n. Let i = 19 + p. What is the third smallest value in 0.4, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {e: 1, r: 1, v: 1, w: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*l - 5. Let o = 20488 - 20489. Which is the biggest value?  (a) 0.2  (b) 3.9  (c) l  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000 (base 2) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7759 * -4.\nAnswer: -31036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 487 times 139.9?\nAnswer: 68131.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-6) - 22\/(-4). Differentiate -41*f + 41*f + 6*f**4 + x wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**2 + b - 340. Let x be k(0). Let z be 2\/4*(-20)\/1. What is the units digit of (-3)\/(-2)*x\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24462 by -4.\nAnswer: 12231\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + x - 6. What are the prime factors of z(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 133*y - 3908. Suppose 5*d = 5*z - 24 - 36, 2*z = -4*d + 18. What is the remainder when q(-88) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c**2*n*w - 5*c**2*w - 193512*c**2 + 214436*c*n*w wrt n.\nAnswer: 2*c**2*w + 214436*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-10 + 2 + 7)\/(-17))\/((-1)\/(-1037))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -236 (base 13) in base 11?\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*i - 18*i + 8*i**2)*(-2 + 2 + 2*i**2).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14\/333 - -102634\/1665. Let u = o - 62. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 166\/3, 2, 1\/4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8854 - 8849. Let s(u) = u**2 - 10*u - 9. Determine s(d).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 + 7 + 12*y**2 - 347*y + 351*y.\nAnswer: 12*y**2 + 4*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 0.03, 6.33, -5 in decreasing order.\nAnswer: 6.33, 0.03, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -546, -2, 238975, -3 in increasing order.\nAnswer: -546, -3, -2, 238975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 5*d - 39 + 10, 0 = 4*d - 3*r - 25. What is the remainder when 158 is divided by 66\/d + (-15)\/30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/y**(2\/5)))*y)\/y*(y*y*y**1)\/y)\/(y**(-1\/2)\/y**(-4\/3))*(y**(-1\/2))**48*(y*y**(2\/7))\/y**(-5) assuming y is positive.\nAnswer: y**(-3349\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-34.07.\nAnswer: 68.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3\/4701155?\nAnswer: -3\/4701155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 3 - 3)*(g**2 - g**2 + g**2) + (-g + 3*g - 4*g)*(-g - g + g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 4, -53, -198, -461?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {b: 3, i: 3, j: 3, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(((-9)\/(-6))\/(21\/(-28))))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*t + 29*t = 51. List the prime factors of -3 + 6\/(-6) + t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 42979, 84907, 126821, 168715, 210583, 252419?\n\"Answer: -i**3 - i**2 + 41938*i + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (50 - 64 + 15 + 663*h)*(-3*h - 2*h + 4*h) in the form c*h**2 + x*h + b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*r + 19*r + 19*r - 2*l = -21*r - 50, 2*r + 116 = -12*l for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.2 - -0.2. Let j = 5 + b. Let x(g) = 2*g**3 - g**2. Let a be x(-1). What is the third smallest value in 5, a, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*a + 62*a = 42 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l + 26. Let c be h(-11). Let t(a) = -a + 5. Let w(b) = 3*b - 9. Let s(x) = c*t(x) - 4*w(x). Determine s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 2)*(-47 + 47 + 7*p)*(1 + 2*p - 1) - p**2 - 3*p**2 + 3*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -3*y**5\/20 - 59*y**4\/2 + 119*y**3\/2 - 3709*y. Factor f(x).\nAnswer: -3*x*(x - 1)*(x + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*i + 187*i - 21168. Is 141 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**3 - 952532*f**2 + 3810176*f - 3810192 = 0. What is f?\nAnswer: -238137, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 23*y + 21*y - 5074, -4*w + 4*y = -4052. What are the prime factors of w?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8770)\/2*(-10)\/50 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12731*t**2 + 25678*t**2 - 12786*t**2 - 7*t.\nAnswer: 161*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1355 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 100 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -4*p - 0*a - 2*a, 0 = -2*p + 4*a - 8. Let f = 16 - p. Let r be 55\/f + (-2)\/4. Solve -4*v + 0*v - 31 = r*g, g - 3*v - 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 577, 572, 567, 562, 557?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 85678414 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -5 - -5) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -233527.27?\nAnswer: -233527.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 675*g**2 + 9*g + 7. Let z be c(-1). Suppose z = -249*v + 250*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of s**5\/30 + 4*s**2. Let k(n) be the third derivative of -n**4\/4 - 4*n**2. Calculate k(z(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 74 = 4*w, -w + 4*t = 3*w - 56. Find the second derivative of -33*y + 6*y**4 - 17*y**4 - w*y**4 wrt y.\nAnswer: -336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*k = 154*k + 32, -3*m + k = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -543 (base 6) to base 4.\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1183*q**3 - 5*q - 142. Let l(a) = 2360*a**3 + 10*a + 283. Let i(s) = -3*l(s) - 7*x(s). What is the second derivative of i(m) wrt m?\nAnswer: 7206*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.1, 2, -10.9, 4\/11 in decreasing order.\nAnswer: 2, 4\/11, 0.1, -0.3, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 20*p + 63. What is i(-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-15) - (-24)\/(-10). Suppose 11*b = -57 + 79. Sort 3, l, b, -1.\nAnswer: l, -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/14 and -11\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 1.5. Sort 5, p, -1\/4.\nAnswer: p, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28035488 and 21736.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-7 - (-1 + -1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by 44.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 14*b**2 - b + 17. Let q be p(14). Find the first derivative of -280*j**3 + 11 + 286*j**q + 2 - 1 wrt j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4.7?  (a) 4  (b) -1  (c) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((0 + sqrt(1377)*-1)**2 + 2 + 2 + 1)*2.\nAnswer: -16584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, b: 2, j: 1, t: 10, q: 2}. Give prob of picking 1 t, 1 q, 1 b, and 1 j.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 6:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226966 is divided by 465.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/72)\/((-5)\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 - -58. Let m = b + -6. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 smaller than -998637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, c: 6, i: 5, h: 4}. What is prob of picking 2 i, 1 c, and 1 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -76 + -1 - (1304 - 1297).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4390 + 68. List the prime factors of q.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 4*b = 52, 70*k - 68*k - 5*b = -74 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60.33 - -1.\nAnswer: 61.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 3*p**2 + 4. Suppose -3*s + 7*s = 2*f + 18, 0 = -s + 5*f + 9. Let x(o) = o + 1. Let m(t) = s*r(t) - 12*x(t). Solve m(b) = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -199422, -395969, -592516, -789063?\nAnswer: -985610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 200 + -93. Let a = g - 79. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 14*k = -20. Put -5, k, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*t**2 + 0*t**2 + t**2)*(9*t - 9*t + 3*t**2) - 1 + 1 - 2*t**4 - 7*t**4 + 16*t**4 - 2*t**4)*(1 - 1 - 11*t).\nAnswer: -88*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 211563872.\nAnswer: 2, 13, 508567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 3. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.6*-22\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1091 is divided by 549?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 2594 divide 430894528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(847)*-1 + 5 + 2*sqrt(1008).\nAnswer: 10 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 133 - 113 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 335, 1376, 3155, 5684, 8975, 13040, 17891?\n\"Answer: 2*c**3 + 357*c**2 - 44*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - i + 21. What is b(7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/(-20))\/3*-1*(-680)\/(-20))\/(-2).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 0 + -8 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4864\/(-76))\/128)\/(72\/4).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 627551 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1352701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 7 = -r, 2*r + 8 = -2*k + 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 - 82*f + 962. Suppose 0 = 3*q - 3*g - 18, 0 = 3*q - 2*q + 5*g - 12. Calculate the smallest common multiple of z(16) and q.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**2 + 0*l**2 + 221*l**4 - 45 - 212*l**4 to the form d*l + s*l**2 + m*l**3 + y*l**4 + t and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 784\/35 + (24\/(-15))\/4. Suppose 5*i - 2*u - b = -9, 2*u + 7 = 3*i. Solve 0 = -k + i - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, 5, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2209 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = 2*r. Suppose -5*l + 3*w = 0, l = -3*l + r*w. Solve k - 3*k - 2 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 7*n**2 - n + 9. Let c be u(7). Let f be (-1)\/(-1*c\/4). Suppose f = 2*b - 2. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -841, -1682, -2523, -3364?\nAnswer: -4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-11)*q*q**26 assuming q is positive.\nAnswer: q**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.062875 * 3\nAnswer: 0.188625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16641 - 16524. Solve -116*y + u*y - 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (75\/(-54))\/((20\/42)\/(610\/2135))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/60*-3*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -369\/208 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1189, -1267, -1427, -1693, -2089?\n\"Answer: -4*w**3 - 17*w**2 + w - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/13*5\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(152) - 2*sqrt(152)) - sqrt(152))\/(sqrt(8) - ((sqrt(48) + sqrt(48) + sqrt(48)*3)\/sqrt(6) + sqrt(8) + sqrt(8) + sqrt(8))))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 602214885 to the nearest integer?\nAnswer: 24540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1170 and 1041768?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 x, 1 g, and 1 n when four letters picked without replacement from {n: 1, l: 2, g: 1, x: 1, d: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3178*z - 3193*z = -25215. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 3:46 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -39\/7*j - 38\/7 - 1\/7*j**2.\nAnswer: -(j + 1)*(j + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d - 6. Let q be f(8). Suppose 9 = -4*t + y, q = 3*y - y. Let x(r) = -109*r**3 - r**2 + 1. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -81 - -171. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -99518599 divided by 47\nAnswer: -2117417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/784*7*78\/(-13)*-4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -66218 - -163981. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -364.6 - -87.6. Which is the biggest value?  (a) w  (b) 0.4  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1150183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1099 = -4*s, 0 = 5*o - o + 3*s - 4396. List the prime factors of o.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) -2  (c) -6  (d) -87750\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 3*d - 74. Give y(12).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 53*s**3 + 16 - 45*s**3 - 43*s**3 wrt s?\nAnswer: -105*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15\/(-20) + 326\/8. Suppose 5*h - 3*m = 34, -m = -4*h - 5*m + t. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -722*z + 2808 = -506*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5437618, -5437640, -5437664, -5437690, -5437718, -5437748, -5437780?\n\"Answer: -a**2 - 19*a - 5437598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.07 at least -636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45.85 - -45.9. Suppose w - 15 = -2*w. What is the second smallest value in w, 1\/10, l, 1\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107.525*-0.01.\nAnswer: -1.07525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uxbx when four letters picked without replacement from uuuxuuuxxubux.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j. Let m(g) = 1641*g. Determine o(m(q)).\nAnswer: -3282*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(sqrt(5) + 3)*1.\nAnswer: 4*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from hqkqw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/12?  (a) -2  (b) 1  (c) -1\/329  (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 11*b**2 + 7*b - 6. Let r be j(4). Let o = 296 - r. Suppose -7523 = -32*w - 340*w + 1777. Calculate the remainder when o is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5350 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in 0.5, 357, -0.1, 1.3, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*h - 336 - 1446 = 0. What is the greatest common factor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -651360 divided by -9440\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 2*i + 17. Let w be p(-6). Let y be ((-6)\/8)\/(w\/84). Calculate the greatest common factor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.5 * 7380.7.\nAnswer: -11071.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -14*c - 156. Let k be y(-13). Find u, given that -46*u**2 + 169 + k*u**2 + 21*u**2 - u - 6*u - 19*u = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 945 and 6568506?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 6:31 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that k**2 - 34*k - 72 = 0.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 + 2*n**3 + n**3 + (-2*n - 2*n + 3*n)*(1 + 2*n**2 - 1) + n**3 - 2*n**3 + 2*n**3 + (-5*n - 5*n - 15*n)*(-291*n + 46*n**2 + 291*n).\nAnswer: -1148*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3224 and 152112?\nAnswer: 61301136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/21 - (-2576)\/138?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1089945 and -9\/1484.\nAnswer: 30518460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3228 litres in millilitres?\nAnswer: 1322.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4638, 4651, 4674, 4713, 4774?\n\"Answer: w**3 - w**2 + 9*w + 4629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3239998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 4, -0.4, 16, -0.1 in ascending order.\nAnswer: -0.4, -0.1, 2\/11, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 3*q - 72 + 40, 8 = -g + 10*q for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27 - d**5 - 27 + ((-d**2 - 5*d**2 + 4*d**2)*(-d + 4*d - 2*d) - 5 - d**3 + 5)*(2*d**2 + 2 + 8*d - 7*d - d**2).\nAnswer: -4*d**5 - 3*d**4 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 118*o + 1714. What is v(-14)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q - 5. Let g(m) = -7. Let d(z) = -3. Let h(j) = -2*d(j) + g(j). Give -f(s) + 6*h(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 25 - (-35 - (-41 - -23))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -198 (base 11) in base 5?\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-57)\/190)\/((-2)\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**3\/3 - 26390*m**2\/3 + 2*m\/3 + 26390\/3 = 0.\nAnswer: -13195, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1622 - 1618. Let d be (-623)\/356*q\/(1\/1). Let w be 2\/(-45)*(4 - -1). Which is the second biggest value?  (a) 0.04  (b) d  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 22*u**2 + 2*u. Let l be k(-7). What is the tens digit of 2\/(-5) + 9\/(90\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(1\/2)\/k))\/(((k*(k*k**(1\/10))\/k)\/k*k)\/k))**7\/((k**6*k\/(k\/(k\/k**(-5\/2))*k))\/(k**0)**(-22)) assuming k is positive.\nAnswer: k**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 4 + 24 = 0. Suppose -9 = 2*d - 5*d - z, h*z + 9 = 3*d. Let a(u) = -2 + d - u - 1. Let q(m) = m. Calculate a(q(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11532827?\nAnswer: 2699, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5124479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6443.5 minus 15?\nAnswer: -6458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2777 - 2790 - (2 - 0 - 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -7. Let t = x - 1. Which is the closest to -0.2?  (a) t  (b) -1\/2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15348, -0.5, 0.5, 5 in decreasing order.\nAnswer: 15348, 5, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(10\/16)*115\/(-46).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (128\/(-224))\/(((-29)\/7)\/(9*(-34)\/(-612))).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 177 + -15. What is the greatest common divisor of k and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 16) to base 3\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*s - 1867 = 47*s - 397. What is the highest common factor of s and 15120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-3))\/(29\/87).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2124 = 5*b - 3*b. Let l = -1214103 - -1214108. What is the lowest common multiple of b and l?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188552 is divided by 62830?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*f + 20*f - 46*f + 1)*(0*f - 2*f + 0*f) - 1 + 1 - f**2.\nAnswer: 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-36))\/((-37)\/((-4329)\/(-39)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -5. Let a(f) = f**3 - 11*f**2 + 12*f - 15. Let n be a(10). Let g(h) = 4*h**2 + 3*h - 1. Let b(o) = 7*o**2 + 5*o - 2. Calculate n*g(p) + r*b(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2 - 4*b - 5. Let q be g(4). Let s = q + -12. Suppose -4*m = 4*j - 13 - s, 4*j - 18 = -3*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and (-5 + (-84)\/(-20))\/((-2)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -19. Let j(w) be the first derivative of -133*w**4 + 140*w**4 - 30 - 4*w**a + 14*w**3. Find the third derivative of j(z) wrt z.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**2\/2 - 4*a - 2. Let z be i(6). Solve z*y + 4 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1385526 and 1275?\nAnswer: 588848550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (((-64)\/(-2))\/(-8))\/(-2*1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 368154\nAnswer: -184077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30845041?\nAnswer: 83, 371627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -436389 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 12:43 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k + 3*k - 3*k)*(0*k + 4*k - k) + 4*k**2 - k**2 + k**2 in the form m*k + y + t*k**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/18 - (-17)\/3. Solve -8 = 4*i - f*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 2*x = -2*g + 508, 4*g = 4*x + 1004. Suppose -2*k + 70 = -2. Calculate the remainder when g is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/20, 11, 9, 2\/3, -2\/7.\nAnswer: -2\/7, -1\/20, 2\/3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 811315 (base 9) to base 15.\nAnswer: 9730e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9945\/(-85)*6*3\/54?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yvyxoyyvyooovonnvv.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6258*g**3*j**2 - g**3*j - g**3 + g**2*j**2 + 57*g*j**2 + 10599*g*j - j + 16 wrt j.\nAnswer: -12516*g**3 + 2*g**2 + 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65)\/5 + -16 + 26)*(-46)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3*c + 32. Suppose 5*o - 20*f = -24*f + 22, 4*o - 3*f + 1 = 0. Solve o*z = 6*z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 - (8 + 16 - 56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84, 231, 436, 693, 996, 1339?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 21 - 3 - 20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4272.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/7 - (-76)\/266. Suppose 3*u - 50 + 44 = s. Solve -p - 4*p + 5*a = -10, 0 = -u*a - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/38)\/((-12)\/16).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.06819939 rounded to three dps?\nAnswer: -3.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 114.2343 take away 5?\nAnswer: 109.2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 410\/(-164)*(-1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (64\/624)\/((-2)\/(-3)). Let l = 49 - 45. What is the smallest value in 5\/4, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001879633 to six decimal places.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -756 + 900 = 8*t. Let d(y) = 40*y - 24. What are the prime factors of d(t)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -9. Let k = -4 + x. Suppose -150 - 70 = -k*n. Calculate the highest common divisor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, v: 5, o: 3, a: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-18)\/33 + 2378\/3190. What is the closest to -1 in 1\/75, 2\/3, 1, a?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2252 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 18*b**2 + 310*b - 617. What is s(-19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6032882154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(3*i + 17*i - 45*i).\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7572, 15464, 23356?\nAnswer: 31248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 20. Let o be x(8). Let j = 20 - o. What is the greatest common divisor of j and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (-1 - -1)\/(-7 - -6). Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135345 is divided by 134.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1284 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: What is the product of 582469 and 1996?\nAnswer: 1162608124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51733290 is divided by 5300?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3*w*w\/w**9)**16 assuming w is positive.\nAnswer: w**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 40. Suppose -2*c + 9 = c, 360 = 5*y - 5*c. Calculate the remainder when y is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 10*q**3\/3 + 7126*q**2 + 2850*q + 1107. What is d in j(d) = 0?\nAnswer: -1425, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 462307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 73*o - 21 = 70*o, 0 = 3*z - 4*o + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2694605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.38 - 14.62. Let i = y + 9. Let u = -2 - i. What is the biggest value in 1\/3, u, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -8. Let l = 19 - 28. Let v = z - l. What is the least common multiple of v and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2 = -5*y + 7, -16 = 3*y + 5*r. What is the third derivative of -2*g**2 - 470 + 17*g**y + 470 wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -1438*v - 27190. Calculate n(-19).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 47\/((2 - 1)*-1). Let w = -28 - x. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*k - k. Suppose 2*v - 6 - 4 = 5*j, -v - 2*j = -23. Let n = v - k. Calculate the greatest common factor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 132 - 124. Solve w = 3*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 0. Suppose -2*h + k = -0. Suppose -5*b + h*b + 12 = 0. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19523532757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011001111100110 (base 2) to base 10.\nAnswer: 46054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of 0*q**2 + 20999\/12*q**4 + 0 - q + 1\/3*q**3. Let d be g(2). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence psub when four letters picked without replacement from fusuuffxxsbsbpfxpx.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 + 19 + -19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47001.000010719 - 47001. What is o rounded to seven decimal places?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (170\/(-25) - 0)*(-255)\/918*-36.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 220553*p. Let c(x) = 9*x**2 - 2*x. Determine c(v(k)).\nAnswer: 437792632281*k**2 - 441106*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -4*t - 7, -12840*i = -12830*i - 15*t - 35 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of r**3\/3 - 7*r + 1. Let j(m) = 2*m**2 - 14. Let z(n) = -13*i(n) + 6*j(n). What is the units digit of z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1097 * -0.2\nAnswer: -219.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -30*h + 6. Suppose -3*c + 1 = 4*k, 15*c - 113 + 127 = -k. Determine n(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 2 - 2. Let a(f) = 11*f**2 - 3*f**2 - 7*f**2. Give q(a(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)*g*g*g*g\/g**(3\/13)*g*g**(-3\/13)\/(g**1*g))**(2\/45) assuming g is positive.\nAnswer: g**(-4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 403 and 8866?\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 178 - 174. Solve r = -2*c + 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19.75 + 62.28. Let n = 42 - c. Let f = -0.03 - n. What is the third biggest value in f, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107180 is divided by 334?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6*k + 2. Let m be t(4). Let h = m + 46. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63 * 4.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 218 = -2*m - 226, -4*m - 3*k = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(336)\/(sqrt(16)\/sqrt(2)))\/(sqrt(6) + sqrt(6)*2*2).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand j - 2*j**4 + j**4 - 3*j + (-4*j**2 + 5*j**2 - 3*j**2)*(-9*j**2 + 0*j**2 + 6*j**2).\nAnswer: 5*j**4 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -5 - (4 + -10 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 2*g + 14, -5*x - 2*g + 13 + 5 = 0. Let u(a) = -2*a**2 + 3*a. Let d = 5 + -8. Let w(b) = -2*b**2 + 4*b. What is d*w(c) + x*u(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ghcdchc. What is prob of sequence ghch?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-41330)\/(-20) + -3 - (-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/27996 and -127\/24?\nAnswer: 55992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (118 - 108) + (-25 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 10*r**2 + 14*r - 5. Suppose m + 2*g + 9 = 0, g - 140 + 106 = 5*m. Calculate h(m).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2221448563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/5)\/d*d**(-6\/11))**5 assuming d is positive.\nAnswer: d**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1563401699.\nAnswer: 1563401699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*a**5*k - 32088*a**4*k**2 - 110*a*k**2 - 82*a wrt a?\nAnswer: -100*a**3*k - 385056*a**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*z**4 - 5*z**4 + 5*z**4 + (-z**2 - 2*z**2 + 5*z**2)*(z**2 - 4*z**2 + 2*z**2) + (-3*z + 2*z - 3*z)*(0*z**3 + z**3 + 0*z**3).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1322236 = 118*b - 1334036 for b.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41\/421354 or -1?\nAnswer: 41\/421354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16017 - 3?\nAnswer: 16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -28605269 divided by -28605269\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65966, -125773, -185562, -245327, -305062?\nAnswer: -364761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/5*2*4\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/5  (b) -0.29  (c) 20\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*a + 3*a**4 - 9*a - 2*a**2 - 4*a**4 - 4*a**4 + 4*a**4 + 2*a**4 + (-2 + a**3 + 2)*(2 + a - 2) in the form v + x*a**3 + r*a**2 + s*a**4 + z*a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7517.\nAnswer: 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192597507 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, q: 6, y: 2, c: 4, f: 1, x: 3}. Give prob of picking 1 f, 1 x, 1 y, and 1 q.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4\/5, 200, -43, 2\/15, 1\/6 in descending order.\nAnswer: 200, 5, 1\/6, 2\/15, -4\/5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 101\/329 - 1\/47. Which is the closest to 0?  (a) p  (b) -1\/3  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 82172*b - 39851448.\nAnswer: -4*(b + 497)*(b + 20046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-18) + 29\/9. Let o(l) = -39*l + 2. Let m(p) = 117*p - 5. Let h(u) = s*m(u) + 8*o(u). Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27140 = 3*l - b, 8*b - 12*b + 8 = 0. Let v = -5007 - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*(-1*sqrt(2450) - sqrt(2450)))\/(sqrt(90)*-2*4).\nAnswer: -35*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 36*x + 0 + 0*x**2 + 1\/6*x**4 + 0*x**3. Let b(c) = -c - 1. Let a(g) = 8. Let u(y) = -3*a(y) - 24*b(y). Calculate p(u(i)).\nAnswer: 1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-84)\/10)\/(((-3)\/(-140))\/(-1)). Suppose 0 = -2*r + v + 759, 5*v + 1141 = 4*r - s. What is the greatest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -342, -340, -338, -336, -334?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 s when three letters picked without replacement from {s: 4, p: 2, z: 1, j: 6}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.6 - 20. Which is the closest to 9?  (a) 3  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = n + 151, -3*f = -3*n - 2*n + 142. What is the closest to -0.1 in f, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and -7862269999.\nAnswer: -7862269996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 47209531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -164 - ((-34 - -77) + -83 + 7).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**3 - 2*q**3 + 13*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -57227 or -57007?\nAnswer: -57007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and 10364.\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z + 7 - z + 3*z. Suppose 3*f - 511*c + 33 = -514*c, 4*c + 41 = -3*f. Give i(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330 is divided by (30\/(-7))\/((-606)\/2828)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -206*y**3 - 8*y**2 - 20*y + 10. Let u(m) = -m**3 + m**2 + 2*m - 1. Calculate -p(w) - 10*u(w).\nAnswer: 216*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 26*r + 2. Let k be l(0). Let c(j) be the first derivative of -9\/4*j**4 - 6 + 12\/5*j**5 + 3*j + 9\/2*j**k - 5*j**3. Factor c(d).\nAnswer: 3*(d - 1)**2*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -69306.\nAnswer: -2\/34653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2515313971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, -43, -0.1 in increasing order.\nAnswer: -43, -0.1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -874, 3321, 17636, 47129, 96858, 171881?\n\"Answer: 843*a**3 + 2*a**2 - 1712*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -3\/2, -3, -5, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(167*k + 15584 - 82*k - 3906 - 87*k).\nAnswer: 4*k - 23356","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 3:44 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -69 (base 15) to base 5\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 2*r + 7 = 0, -4*q + r - 36 = -3*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from txmmxxxlmlxxtffmx. Give prob of picking 2 x and 2 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7727.78 kilograms in tonnes?\nAnswer: 7.72778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (22 + -5 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10380489 divided by -1?\nAnswer: 10380489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -28  (b) 5  (c) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3552 and 719872.\nAnswer: 2159616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 1455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5295, -3, -5.\nAnswer: -5295, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1195*j - 1206*j - 66 = 3*q, 5*j - 44 = 2*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 176, -4, 5 in descending order.\nAnswer: 176, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45344?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12680 and 798206?\nAnswer: 15964120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14518733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 2\/12777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 272, -4, 2.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 4*m**2 + 3*m - 37. Calculate the least common multiple of k(-5) and 4.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 1\/9*x**4 + 2\/15*x**5 + 0*x**2 + 1\/27*x**6 + 0*x**3 + 0*x - 4. Find z, given that w(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 5, 1, 53 in increasing order.\nAnswer: 0, 1, 2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 45297616 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/256 and 87\/21846752.\nAnswer: 174774016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 4*z - 6578, -2*z + 6*z = 8. Let n = h + -4778. Let j = -656 - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/186 and 19\/577530?\nAnswer: 577530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c - 1. Let w be (-2)\/(-11) + 9\/11. Let y(x) be the first derivative of x**2 - 4*x - 147. Let n(i) = w*y(i) + 3*r(i). Give n(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107568\/10790 - 2\/(-65).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, b: 1, c: 2, q: 2, e: 1, p: 4}. Give prob of picking 1 c and 1 e.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*b**2 + 2\/9*b**3 + 0*b.\nAnswer: 2*b**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 11*n**4 - 2*n**3 - 11*n**2 + 2*n = 0.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m - 241 = -3*i, -4*i + 2*i + 0*i - 93 + 247 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**5 + 1260*r**4 - 283368*r**3 + 26093776*r**2 - 764161344*r = 0.\nAnswer: 0, 54, 188, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 11:35 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 5*b + 9. Let s be u(-3). Let y(z) = 4*z + 0*z + 10*z**2 - 4 - 5*z. Is y(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2039 and -5.\nAnswer: -10195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9087 + -9087.09. What is the smallest value in c, 2\/15, -29, -0.4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13626 and 8775901?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*q + q - 2, b + q + 3 = 0. Let f be b\/10 - (-120)\/50. Suppose 25 - 1 = -w + 5*t, 5*w + f*t = 15. Let p(h) = -6*h. What is p(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2108185294 to the nearest integer?\nAnswer: 45915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -630 + 647 + -22 + (2 - 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**3\/2 - 30*d**2 - 193*d\/2 + 126 = 0. Calculate d.\nAnswer: -4, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + -6. Let t(q) be the third derivative of q**5\/60 - q**4\/4 + q**3 + q**2. Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -3. Suppose -2*l + p + a*p = -17, -3*l + 2*p = -23. Let w = l - 11. Sort 6, w, 4.\nAnswer: w, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/2 + o**3\/2 + o**2\/2 - o\/2.\nAnswer: -o*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z - 1. Let x be g(2). Suppose -2*v + p + 29 = 2*p, v = 3*p - x. Solve 3*w - v = -d, -2*w - 3*d = w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5995040 or 5995039?\nAnswer: 5995040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + 1003?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/4*(1 - 11). Let t be 4114\/10 - 6\/m. Suppose -5*h + 686 = 2*p, -p = 3*h - 0*h - t. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 3*m + 4. Let w be j(4). Suppose -3*r + 181 + 305 = w. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3450248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -g**6\/120 + g**5\/15 - g**4\/8 + g**3 + 2*g**2 - 58. Calculate the least common multiple of 120 and x(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (4 + -4) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*r - 14*r - 49*n + 53*n + 119, 4*n = -3*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 24*i**2 - 45*i - 22. Let v be -1 + -2 + (-57)\/3. Let w be h(v). Let y(c) = c**3 - c**2 - c - 3. Give y(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 0 + -2 + 2 + 1. Solve 3*y - 2*y - 3 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -k**4\/24 + 13*k**3\/9 - 143*k**2\/12 + 95*k\/3 + 102. Factor j(i).\nAnswer: -(i - 19)*(i - 5)*(i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515286?\nAnswer: 2, 3, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of o**7\/105 + o**6\/10 + 2*o**5\/5 + 5*o**4\/6 + o**3 + 10*o**2. Factor a(u).\nAnswer: 2*(u + 1)**3*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 770 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.94 - 0.52. Let l = 0.08 + p. Let z = -416 + 415.8. What is the closest to -2 in l, 3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**5\/60 + f**3\/6 + 2*f**2. Let u(r) = -4*r**2 - 3*r - 7. Let p(n) = 5*d(n) + u(n). What is the units digit of p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 644519*f**2*r**3 - 8*f*r**3 + 22*f*r**2 + 117 wrt f.\nAnswer: 1289038*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/11, -28, 124, 2, -4\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y + 36. Determine x(-15).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**3 + 22*b**2 - 19*b + 63. What is the hundreds digit of s(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-672)\/49)\/((-420)\/(-392)))\/((-2)\/10)*-1.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f. Let w(g) = -3*g + 1. Let q(z) = -4*a(z) + 3*w(z). Is 15 a factor of q(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -27\/299393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6205*s - 12396*s + 6199*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10*(5 + (-90)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -51906*q - 1. Let f(h) = 167*h**2. Determine z(f(a)).\nAnswer: -8668302*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 290?  (a) 2\/11  (b) 31\/1430  (c) 1\/2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/7))**21 assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2383 and 11.\nAnswer: 26213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 0.2.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 4:11 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*g - 2*g**2 - 5*g)*(33*g - g + 5472 - 34*g) + 0*g**3 - 3*g**3 + 2*g**3 as a*g + k + c*g**2 + l*g**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 17939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 9 = -j, 4*j + 12 = 5*y + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 10 = 2*n, -26 = -5*s + 2*n - 0. Suppose -x - 1 = -2. Let b = 4 - x. Solve b*r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2 - 12. Let y be w(-4). Suppose -220 = 4*j - y. Let t = -48 - j. Solve 0 = t*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + -4660.236.\nAnswer: -4656.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*h - 27 = -24, 4*z - 15 = 3*h. Calculate the remainder when (2 + (-32)\/3)*-3 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/6)\/(2082\/522 + -4). Let n = -59 - u. What is the nearest to n in 5, 0, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -552 less than 52454011?\nAnswer: 52454563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.020901 * 0.4.\nAnswer: 0.0083604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5\/3 + 32*m**4 - 692*m**3\/3 - 6432*m**2 + 6630*m = 0. Calculate m.\nAnswer: -51, -13, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q - 1. Let j be w(-3). Suppose -3*k + 20 = -b, -j = 3*k + 3*b - 47. Let p be (k\/54)\/((-4)\/6). Are -1\/4 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 14 = -3*y + 2*x, -3*y - 3*x + 72 = 0. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b, -3*x = -0*b + 4*b - 1656. Suppose -2247 + x = -15*c. Is 113 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72*(-1885)\/12180*14\/(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 741746 is divided by 1738.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 9. Let f(d) be the second derivative of 1\/12*d**a + 0 + d + 0*d**2 + 0*d**3 + 1\/20*d**5. Find the third derivative of f(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 20 + 36 = 16*g, -3*v + 34 = -2*g + 7*g for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.2. Let i = 0.215 + g. Let t = 0.0171 - i. What is t rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164382 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1765 - -2997. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43 and 19479.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, p: 2, f: 3, c: 1, g: 3, k: 4}. Give prob of picking 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*t = 36*t - 147. Let q(p) = -p - 10 + 3*p - 2*p + 2*p. Let f be q(12). What is the highest common divisor of t and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -0.5  (c) 0  (d) 2\/5  (e) -60  (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1270 - 100. Is 39 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 863\/9 + -74219\/774. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g - 295. Calculate q(65).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 4 + 2. Suppose -b + 4 = 0, -2*b + 28 = 2*z + o*b. Suppose q + z - 3 = 0. Let p(s) = -3*s**3 - s. Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/10 and -13\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -282, -282, -280, -276?\n\"Answer: w**2 - 3*w - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3153 + 12515\/4. Calculate the common denominator of 5\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000010508369 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttaattataata. What is prob of picking 2 a?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -25360 and -151576494.\nAnswer: -151601854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 83844 and 37.\nAnswer: 3102228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 574067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 8 + 6)*(10*f + 56 - 56)*(0 + 4 - 5).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 3*g + 24, -2*f - 3 = 5*g + 1. Let t = 903 - 902.8. Which is greater: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, r: 11}. Give prob of sequence ryry.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564288.\nAnswer: 2, 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -211, 4, -20, 5, -4, -2 in descending order.\nAnswer: 5, 4, -2, -4, -20, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 8*j - 5*j)*(0*j**2 + j**2 + 0*j**2).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-46)\/(-24)*(-313880)\/(-708). Let q be 10\/4*3099\/(-9). Let a = q + m. Is -12 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 5) to base 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 5 + 10 = 5*g, -2*d = 4*g - 12. Suppose 0 = -3*y - 4*h - 18, -h - 14 + 5 = g*y. Let z = 8 + y. Is z <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*n - 8*n + 36*n - 9*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 588 + 105. What is the highest common divisor of w and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*14\/8*(-27 + (-3498)\/(-154)). Calculate the greatest common divisor of 1220 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 894*c**3 - 319*c**2 + 4*c + 35332 wrt c.\nAnswer: 5364*c - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 201, 1307, 3315, 6225, 10037?\nAnswer: 14751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11635804 is divided by 58179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**4\/2 - 1485*d**3\/2 - 10301097*d**2\/2 + 19453203029*d\/2 = 0.\nAnswer: -3341, 0, 2413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by 71.\nAnswer: 13\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**3 - 5*y**3 + 3*y**3)*(-2 - y + 2) + 113*y**4 - 53*y**4 + 29*y**4.\nAnswer: 91*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -7*n**2 - 50*n**3 + 3*n + 9 - n + 49*n**3. Give f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2076 - 287435.9?\nAnswer: -285359.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 12*p + 74. Let n be f(-16). Suppose 7*u + n*u = 238. What is the highest common factor of u and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 4 - 16. Suppose -8*l - 44 = 9*l - 112. Determine s, given that 4\/7*s**3 - 2\/7*s**l - 2\/7*s - 2\/7*s**a + 4\/7*s**2 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (55\/(-10))\/(2\/4). Let d = -1519 + 1515. Put 7, w, 0, d in descending order.\nAnswer: 7, 0, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - b**3 + 3*b)*(2 - 2 - 2*b) - b**4 + b**4 + 2*b**4 + (0*b + 0*b + 2*b**2)*(153*b**2 - 15*b**2 + 54*b**2) - 2*b**4 + 2*b**4 + b**4.\nAnswer: 389*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3265.4250094 - -3265.46. Let b = j + -0.035. Round b to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-974)\/(-2435) + (86\/340)\/(-1))*75\/125?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 959387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179993 is divided by 22497?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**2*b**3*j - 665*a**2*b*j**3 - 4*a*b**3*j**2 + 2*a + 2*b**2*j**3 - 504*b wrt a?\nAnswer: 4*b**3*j - 1330*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 6, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4351073 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -225*c**3 - 1362*c**2 - 2097*c - 108 = 0. What is c?\nAnswer: -3, -4\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3393 or 27137\/8?\nAnswer: 27137\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -38522, -0.4, 53, 7\/2 in decreasing order.\nAnswer: 53, 7\/2, -0.4, -3\/5, -38522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 114*y**2 + 219*y + 108.\nAnswer: 3*(y + 1)**2*(y + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-11\/4))**(2\/47)*(d\/d**(-5))**(-1\/26) assuming d is positive.\nAnswer: d**(-373\/1222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -6*u - 38. Let p be x(-7). Suppose -9 = -0*b - 3*b. Suppose 0 = p*f - b*f - 3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 2:39 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 4:40 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9396*d**2 + 24*d**3 - 18773*d**2 + 9377*d**2 + 41*d**3 - 2.\nAnswer: 65*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11.3304 - -4.1273. Let u = w - -7.2. Round u to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -11) + (-10 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 748 divided by 28.\nAnswer: 187\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 + 8*c. Let p be r(8). Let z(a) = -a - 1 + 0*a + 0 + 4. Does 3 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -4*a + 2*a. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*w + 0*w + 138*w + 11*w + 4*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10 - -9) + 38 + (2 - -1). Let q be (-18)\/5 + 2\/(-5). Let f be q\/5*z\/16. Let k(a) = -a**3 - 3*a**2 - 3*a - 1. Calculate k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3467763763416 and -0.2.\nAnswer: 3467763763415.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 6*d - 4*d + 6, -4 = d + 3*s. Let a(v) be the first derivative of 4 + 0*v**d + 0*v - 2\/9*v**3. Determine h, given that a(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(80) + 1).\nAnswer: -20*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*m + 185 = 3*n + 204*m, 5*m = 4*n - 246. Solve 12*l - 37 = n for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10063, 19937, 29793, 39631, 49451?\nAnswer: 59253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.618295 - 2.626. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, o: 1, p: 1, n: 1, c: 1}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**3\/6 + 36*l**2 - 103*l. List the prime factors of y(6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 8 = 9*g. Solve 7*f = 3*a + 2*f - 14, 0 = -5*a + g*f + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x. Let h(l) = l**2 + l. Let p(r) = -b(r) - h(r). Let y(n) = -2*n + 1. Give p(y(t)).\nAnswer: -4*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 + -13)*4\/(-6). Let q(y) = 3*y**2 - 6*y + 5. Determine q(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 715, 0, 0.258?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*f, b = 6*b - 3*f + 32. Let c = b + 8. Let a = -58\/11 + 60\/11. What is the second biggest value in 0.3, c, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*f = -234*f + 10. Suppose f*t = -6, -5*g = t - 3 - 14. Solve 0 = -g*u - 6 + 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -489 + -37121?\nAnswer: -375aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 218205551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50b (base 16) to base 14.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -67.31.\nAnswer: -63.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27.1002*5.\nAnswer: 135.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 880\/16*16*(-66)\/(-1760).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.8 + 1.1. Let j = h + 0.2. Let x be (-64)\/24*3\/10. What is the third smallest value in -2, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-105))\/(10\/(-7))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382 is divided by 113?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 23. Let l = -452.3 - -473. Let v = l - j. Which is the biggest value?  (a) 13  (b) v  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/2)\/((z\/z**(-16))\/z)*z**13\/z*z*z**20 assuming z is positive.\nAnswer: z**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23068721735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -995238 by 5.\nAnswer: -995238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 - 41*a - 529. Let v be f(-10). Sort v, 5, -6, 1 in increasing order.\nAnswer: v, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8300, -17351, -26388, -35405, -44396, -53355, -62276, -71153?\nAnswer: -79980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153 + 116 + 140 - 414 + 10*q.\nAnswer: 10*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d + 10. Let b be w(8). Let j(g) = -g**3 - 5*g**2 + 6*g - 4. Let s be j(b). Let r = 5 + s. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -23*g**3 - 4*g**2 + 9*g + 5. Let z be d(-6). Suppose -z + 1215 = 8*j. Which is smaller: -446 or j?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(-2\/7)*i))**3)**(-3\/20) assuming i is positive.\nAnswer: i**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, i: 5, g: 1, n: 1, z: 1}. What is prob of picking 1 b, 1 z, and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2960 + 8661. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -89*n**3\/3 + 1. Let w(s) = -89*s - 4*s + 91*s - 3 + 3. What is w(r(d))?\nAnswer: 178*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1767, -1, 3, 0.4.\nAnswer: -1767, -1, -0.5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 8 - 7)*(u + 3*u - u) - 4*u - 3*u + 6*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/7, 10.75, -0.1, 1, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 32252393 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - j**2 - 4 + 0*j**2)*(-7*j**2 + 7*j**2 - 5*j**2)*(-3*j - j + 2*j).\nAnswer: -10*j**5 - 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 8*s**2 - 8047*s. Let h(m) = -8*m - 5. What is h(w(q))?\nAnswer: -64*q**2 + 64376*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 150c0 + 5?\nAnswer: 150c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, j: 1, q: 1, i: 2, m: 1}. What is prob of sequence iqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 42570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4034*r**3 + 90*r**2 + 2*r - 146423?\nAnswer: 24204*r + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (150\/(-30))\/(15\/(-9)). Let f = -17051\/84 - -1432\/7. Let i = 5\/4 - f. Which is the nearest to i?  (a) g  (b) -0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -40. Let u(f) = -f + 4. Give u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 410723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*y + 12*y + 29*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lulx when four letters picked without replacement from xlxlllllluuulllll.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 140472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 192537, 192637, 192739, 192843, 192949, 193057?\n\"Answer: y**2 + 97*y + 192439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-2 - 8) - (5263 - 5307).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (11 + -2)\/((-9)\/(-12)). Suppose -s = -6*d + 2*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 12:31 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 77627, 155281, 232953, 310649, 388375, 466137, 543941?\n\"Answer: d**3 + 3*d**2 + 77638*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -5*p**3 - 164*p**2 - 780*p + 16. Let n(o) = o**2 - 4. Let v(t) = l(t) + 4*n(t). What is w in v(w) = 0?\nAnswer: -26, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, q: 2, o: 1, y: 3, z: 3}. What is prob of sequence qs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/(-18) - (8 - 684\/81)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 7 - ((-9)\/(-3))\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1874999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 - 65 = -3*i. Let c(v) = -i*v + 4 + 0*v + 10*v. Calculate c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-288)\/11 + 171\/33 + -5. Suppose 4*y - 2*p = -5 + 3, -4*y - 2*p = 22. Sort t, y, -5 in descending order.\nAnswer: y, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 34, 260, 880, 2092, 4094, 7084, 11260, 16820?\n\"Answer: 33*t**3 - t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24756?\nAnswer: 2, 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*v - 749 - 2107. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 16) in base 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of b**4\/24 - b**3\/2 - 8*b**2. Let k = 1 - -10. Suppose 0*v + 1 = v - 4*h, 3*v = -2*h - k. What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3a23b + 12?\nAnswer: -3a229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - 11*w**5\/60 - w**4\/2 - 19*w**3\/6 - 16*w**2. Let y be p(-10). Solve 2*m - 5*j + 2 = 0, -m + j = 2*j + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9015 = -c - 3*f, 7*f - 3*f + 44980 = 5*c. Round c to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12002 (base 4) in base 5?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8 - -26 - (-1 + 2). Let j = 25 - o. What is the greatest common factor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90478.\nAnswer: 2, 19, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2, 9 in descending order.\nAnswer: 9, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x**3 - 498*x**2 + 757*x + 126. What is w(-126)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 6 + (-12)\/3. Let s(u) = u + 3. Let d be 2*-1 + -2 + 0. Let z be s(d). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 0*u - 5*u)*(-1 + 4 - 4)*(-4 + u**2 + 4).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.5 - 2.5. Sort 1\/8, 2\/7, 0.04, l in descending order.\nAnswer: l, 2\/7, 1\/8, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-1\/3)*k))**30*k**(-1\/2)*k*k\/(k\/((k*k**(1\/3))\/k)) assuming k is positive.\nAnswer: k**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(3\/2)*s)**(-45)*s\/(s*s**(-4))*s*s**(-18) assuming s is positive.\nAnswer: s**(-251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -8*j**2 - 2*j - 1. Let n(g) = -6 - 1 + 3 + g**2 + 2*g + 3. Let i be n(-2). Give s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + (-2*1 - -4). Suppose 0 = -5*m + x*p + 20, 3*m - 4 - 8 = 5*p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9507 divided by -461.\nAnswer: 9507\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 35 - 21. Suppose -11*z + 552 = -s*z. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7089 - 7089. Let y = 4 - 0. Which is the third biggest value?  (a) -0.001  (b) v  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1097, -1225, -1439, -1739?\n\"Answer: -43*t**2 + t - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (0 - 4 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 366807 divided by 4?\nAnswer: 366807\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + 1 + sqrt(475) + -3 + (sqrt(475)*-3)**2).\nAnswer: -4275 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-49)\/(-14))\/((-203)\/116))\/((-4)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15965 is divided by 758?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*h + 66 = -211*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -133*k + 138*k - 35 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 42*v**4 - 98*v**3 + 52*v**2 - 26. Let z(q) = 21*q**4 - 48*q**3 + 24*q**2 - 12. Let k(y) = 6*m(y) - 13*z(y). Suppose k(p) = 0. Calculate p.\nAnswer: 0, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence obbo when four letters picked without replacement from {y: 1, o: 9, b: 4}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -242 - -3?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-54)*15*4\/(-30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 18 = g, -5*g + 114 = -2*d - 30. Find the third derivative of 6*v**3 + 14*v**2 - 30 + g wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(144)*-1)\/sqrt(6)*-1)\/(sqrt(108)*1 + sqrt(108) - -3*sqrt(12)*6)*1.\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.05  (b) -4\/5  (c) -5\/3  (d) -2\/17  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17136 or -18572?\nAnswer: -18572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {a: 4, u: 4, e: 1, j: 4, w: 1, l: 5}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1544 + -a53?\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2*-18516.\nAnswer: 22219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1146519 is divided by 63694?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 28. Suppose -y - 5 = 0, 2*l = -b*y - 2*y - 32. Is 18 a factor of ((-316)\/l)\/(26\/39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*(l*l**6)\/l)\/l**(-4)*l*l**(-2\/11)*l*l*l*l\/(l*l*(((l*l**(-1\/4)*l*l*l*l*l)\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(487\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 9:43 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-240)\/(-400))\/(5\/800*12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 11:42 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6336013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 353*l**2 + 9*l + 249. Is r(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 24, 30, 26, 6, -36, -106, -210, -354?\n\"Answer: -v**3 + v**2 + 10*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3d770 (base 16) to base 12.\nAnswer: -101840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 72346 or 71575?\nAnswer: 71575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -26 - (-2 - 32).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -12, 0.4, -1\/5, -1\/4 in increasing order.\nAnswer: -12, -1\/4, -1\/5, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 81167822 or 81167824?\nAnswer: 81167822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 18. Let u = -15 + 19. Suppose -w - 3*w - 16 = -u*o, w - 1 = 0. Let v(i) = -2*i + 5. Let t(s) = -3*s + 8. Give c*v(n) + o*t(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2 + 0*v + 3*v - 4*v. Let w be (20*5\/20)\/1. Give c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 1392*q**3 - 338*q**2 + 5*q + 5. Let j(w) = 696*w**3 - 171*w**2 + 3*w + 3. Let m(o) = 5*j(o) - 3*t(o). Find the third derivative of m(k) wrt k.\nAnswer: -4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70515314 is divided by 35257630?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (280\/(-280))\/((-4)\/(-2))*1*48.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = 24*s - 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d + d + d)*(-311 + 558*d - 560*d + 34)*(2*d**2 - d**3 - 2*d**2) - 4*d**2 + 4*d**2 + d**5 + (2*d**5 - 2*d**4 + 2*d**4)*(-2 - 1 + 2).\nAnswer: -9*d**5 - 1108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3548 = 11*n - 14834. Let f = 2567 - n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.66 and -5307.49113.\nAnswer: -5308.15113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4 - 0.6. Suppose -194 = 4*f - 5*l, l + 559 = -2*f + 441. Which is the fourth smallest value?  (a) 1  (b) s  (c) f  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*3 - (12 + -12). Solve 4*b + 16 = 3*p, -a*p + 21 - 6 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 - 27. Let v = o - 18. Suppose -v = -3*p + p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t + 2. Let a be f(-3). Suppose -p + 10 = -i - 5*p, i - 4*p = a. Solve b = -i*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20332 (base 5) in base 14?\nAnswer: 6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 + 69. Are 30 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16125953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f*f*f**5*f*f**(5\/4)*((f**6*f)\/f*f)\/f*f**(1\/8) assuming f is positive.\nAnswer: f**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -v**4\/4 - 4*v**3\/3 + 4*v + 3. Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -598\/37 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 4*m + 6. Give z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**(-4\/9))*l*l**(2\/11))**(-1\/17)\/(l**(-1\/10)*(l**(-2\/3)*l)\/l*(l**(1\/3))**(-33\/5)) assuming l is positive.\nAnswer: l**(49199\/16830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**1)**29*(x*x*(x\/x**(-1\/3)*x)\/x)**(-2\/63)*((x\/((x*x\/(x*x**(1\/4)))\/x))\/x**(-13))**5 assuming x is positive.\nAnswer: x**(53785\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 4*l - 4, 6*c = 24*c - 13*c + l - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 4. Let i be t\/8 - (-3935)\/8. Let c = 500 - i. Calculate the common denominator of -119\/12 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7443 from -19.558612275.\nAnswer: -7462.558612275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -112728 + 1?\nAnswer: -112727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + 28\/((-8)\/(-4)). Let h be (12\/g)\/((-21)\/140). Let d be -4 + (-46)\/h + (-1)\/(-4). Solve d*x = 1 - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w + 4*w - 5*w - 4*w + 2*w + w + (w - w - w)*(-1 - 2 + 4) + (1 + 0 + 1)*(0*w - w + 0*w)*(1 - 2 + 3) as u + t*w and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 29 = -2*h, 23*h = 20*h + 2*d + 31. Let k(p) = 3*p - 24. What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 6202*l + 482*l + 8.\nAnswer: 6684*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 934821722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 128 = -3993*w + 3989*w, 7*w = 210 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2240465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2 - 75*f - 80.\nAnswer: 5*(f - 16)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 - -7. Let m = -7 + h. Sort m, -2\/5, 0.3 in decreasing order.\nAnswer: 0.3, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -17*h + 13. Let y be r(-5). Let q = y - 101. Find the common denominator of -35\/3 and -2*(1095\/(-100))\/q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2 - 4*t + 2. Let z be f(3). What is the hundreds digit of (z - (-644 + 8))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2503003 - -3?\nAnswer: -2503000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (215 - (-49 + 84)) + -159.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 2*q + 17. Let y be z(-6). Let r(a) = 4*a - 3. Let g(n) = -4*n + 3. Let m(d) = 6*g(d) + 5*r(d). What is m(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 - -32. Solve 0*t + t + 3 = k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 952570 is divided by 6569?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z = -2*a - 442, -4*z + 860 = -4*a. Let h = 365 + a. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 < -21719\/2555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 3*g**2 - 16*g + 33. What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 83*t**3 + 47*t**2 - 8*t - 24. Let q(v) = 55*v**3 + 31*v**2 - 5*v - 15. Calculate 8*q(b) - 5*r(b).\nAnswer: 25*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*h + 139621 = 9661. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383057 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -259*u**3 - 9842*u**2 - 8*u - 293. Calculate p(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k**2 + 3*k + 8. Suppose -3*h - 5*r + 6*r - 8 = 0, -2*h - 2*r = 8. What is c(h)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 3) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 245 = -616. Let i(o) = -28*o**2 + 7*o + 26. Let x be i(-4). Let l = k - x. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -6*n + 7*n. What is the greatest common factor of n and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 3683726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*y**3 + 6*y**2 - 6*y**3 + 10*y**3 wrt y?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*a + (2*a + 3*a - 4*a)*(-3 - 1 + 1))*(-3 + 1 + 0).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 38\/175 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1092338596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t**4\/4 + 23*t**3\/4 - 95*t**2\/2 - 119*t - 30 = 0 for t.\nAnswer: -6, -2, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 771 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: What is -1980 divided by 22?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14593 - 14537. What is the remainder when v is divided by 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -749*z**2 - 1287509 - 1287506 + 2575015.\nAnswer: -749*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cig when three letters picked without replacement from ciittgtiit?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -607*y**4 - 3637*y**4 + 14 + 5 - 529*y + 491*y wrt y.\nAnswer: -50928*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -14. Sort 0.4, l, -3\/7, 4 in increasing order.\nAnswer: -3\/7, 0.4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*w**2 + 12*w**2 - 46*w**2 + 14*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fmfmkq. What is prob of sequence fqfk?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -3.85.\nAnswer: -19.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gvggggvvvgvgggvgggg. What is prob of sequence vvg?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-19)\/(-2)*(3 + -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29295 times 0.4\nAnswer: -11718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 9967788.\nAnswer: 49838940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -26.264.\nAnswer: -1.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, -4\/13, 6\/7 in ascending order.\nAnswer: -4\/13, 3\/8, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 578443643?\nAnswer: 53, 10914031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 5*a + 0*a)*(5*a**2 + 4*a - 4*a) + a**3 - a + 2*a + 4*a.\nAnswer: -9*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 0*u**2 + 3*u**2 - 7*u**2 + 6*u**2 + 22 - 13*u. Let y be s(10). What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 2:35 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/31 + 43\/124. Which is the nearest to 0.1?  (a) -1\/4  (b) i  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 4 + 0 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1604 - -1605.111. What is a rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17\/7 + -7 + (-265)\/175*-5. Put h, -4, 5 in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - 52*d - 454. Calculate f(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m**2 - 19*m**2 - 202*m**3 + 13*m**2.\nAnswer: -202*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 6540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 98243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, u: 7, c: 9, q: 1}. Give prob of picking 1 q and 2 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 66 = 27*y. Suppose -3*t + 4 + 5 = 0. Solve -12*v**2 + 20*v**3 + 25*v**y + v - 9*v**t = 0 for v.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 3*u + 5. Let d(f) = f - 1. Let w be d(-6). Let z be n(w). Suppose -20 = -2*i + z. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 89, 137, 235, 401, 653, 1009?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.19, 238, 3, -0.1?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -12637, -5, 4, 78, 0.5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 21 - 9 = 0. Factor -4 + 12*z**3 - 6*z**2 - 4*z - 4*z**3 + 14*z**2 - 4*z**f - 4*z**4.\nAnswer: -4*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t**3 - 3*t - 8*t**3 + 3*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -4*t - 352, -4*t - 337 = 3*o - 4*o. Suppose 2*s = 7*s + 1200. Let l = t - s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2012000 (base 3) to base 6\nAnswer: -11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -3, -642, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**5\/3 - 283*i**4 - 65080*i**3 - 6391576*i**2\/3 - 19868016*i - 17802288 = 0.\nAnswer: -406, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/(-22) - 44530\/(-20). Do -2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -9. Suppose -v + 0*v = -j. Let g(o) = 29*o - 53. Let z be g(2). Solve c - z*w + 5 = 0, v*c + 6 = -5*w - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 2*y + 789. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c. Let x be s(-5). Put -1, 4, x in descending order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02537911 to five dps.\nAnswer: -0.02538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33418 is divided by 16659.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 + 2*b**2 + b)*(-1 + 1 + 2*b + (1 + 4 - 3)*(0*b + b + b)).\nAnswer: 12*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -5140*c - 17. Let w be r(-9). Suppose 5*l + 3*i - w = i, l = -5*i + 9267. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2384154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6340*j - 17559*j + 28 + 5612*j + 20 - 48 + 5608*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.7 - 5. Let v be ((-4)\/(-36))\/(3\/9). Which is the closest to v?  (a) 1\/3  (b) -4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -13*o + 50. Let q be c(3). Let g(v) = -4*v**2 + 71*v - 15. Let m be g(q). Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*r + 4096 = 198*r + 241. Sort 160, 0, r in ascending order.\nAnswer: 0, r, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -554+-28627035\nAnswer: -28627589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 684 or -20\/2919?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dvev when four letters picked without replacement from ddeddevdvdd.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + 58. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 630.1 + -1938. Let c = n + 1308.56986. Let r = 0.67 - c. Round r to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -589*k - 1398*k - 475*k - 211732 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/6)\/b**(-12))**30 assuming b is positive.\nAnswer: b**365","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-21 - -2) - 28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 440 and 9274320?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**3\/5 + 247569*q**2 + 1237842*q\/5 - 2475688\/5 = 0.\nAnswer: -1237844, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -356, 2.\nAnswer: -356, -43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.036 - -19.864. Let t = r + -20. Which is smaller: t or 11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 0 + 2 + 457 + -454?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - m - 3*m)*(-m**4 + m**4 - 3*m**4) + (-2 - 3 + 4 + (1 - 2 + 8)*(-2 + 6 - 2))*(0 - 2*m**5 + 0).\nAnswer: -29*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(28) + 3 + 6*sqrt(35)\/sqrt(5) - (1 + sqrt(441)\/sqrt(7) + -1).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 105*d**3 - 224800*d**2 + 213995*d + 10700 = 0. What is d?\nAnswer: -1\/21, 1, 2140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-210)\/273 - (-918)\/1092?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 323378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330 is divided by 103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 12*q**2 + 5*q + 2. Let o be r(-2). Suppose -o = 97*i - 101*i. Calculate the least common multiple of i and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3241074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, u: 1, h: 1, n: 1}. Give prob of sequence nl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**3 - 142*c**2 + 1080*c - 936 = 0.\nAnswer: -78, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n + 5. Let i be t(4). Let v(y) = -y**3 - 9*y**2 - 4*y - 2. Let l be v(i). Let s be ((-33)\/4)\/(6\/l). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 9*t. Let d(s) = 8*s - 1. Let l(u) = -3*d(u) + 2*j(u). Let a be (2\/(-5))\/((-1)\/(-5)). Let p be l(a). Solve -2*z + 5*n - p = 8, -2*n = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -34 * -4379.\nAnswer: 148886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*t + 2*n + 1, 3*n + 13 = -t. Let d be 7\/((-98)\/(-8))*t. Which is the biggest value?  (a) -0.5  (b) d  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -163, 5 in increasing order.\nAnswer: -163, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -4. Suppose 2*z + y*w - 78 = 0, -4*w - 2 = -2*w. Let l be 0 - (-4 + z\/12). Which is the closest to l?  (a) -3  (b) -0.4  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -34786 divided by -68?\nAnswer: 17393\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 100037447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bobbo. What is prob of sequence oob?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 7:47 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(28) - (sqrt(28) + -5*(sqrt(56)\/sqrt(2) - sqrt(28))))\/(sqrt(4) - sqrt(36)\/sqrt(225)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + h**2 - h - 3. Let r be y(0). Let q(b) = -4*b - 2. Let n(a) = 5*a + 2. Determine r*n(k) - 4*q(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x**3 + 0*x**3 - 4*x**3)*(-619 - 648 + 1505) to the form q*x + z + o*x**3 + l*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007749898621 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.06 - 2.94. Let q = 3.52 + 154.78. Let b = q - 159. Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/47)*g**(-14))\/(g\/g**(-7\/4)*g*g**2\/g*g*g*g))**(-21) assuming g is positive.\nAnswer: g**(86037\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z + 0*z - 84*z + 87*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10*12\/200*5. Solve -2*n + 10 - 30 = o*a, -5*n - 28 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2. Let m be d(1). Let v = m - -3. Let i = v - 2. What is the greatest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 8*d - 1. Let s(x) = 15*x - 1. Let o(b) = 6*s(b) - 11*z(b). Differentiate o(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -214200 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and -2454.26.\nAnswer: 31905.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -71, -108, -143, -176, -207?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3616 and 1.69.\nAnswer: -3614.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(102)*-1 + sqrt(102)) + sqrt(102) - sqrt(102))\/sqrt(6) + (sqrt(153) - (2 + -2 + sqrt(153) + sqrt(153))**2))*1.\nAnswer: -612 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 248 and 11272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1287*g = 2*v + 1283*g - 16, 5*g - 1 = -v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 4:34 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 169 - -0.65022\nAnswer: 169.65022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*j*k**3*n - 83698*j*k**3 + j*k*n + j*k + 13*j - k**3*n + k**2*n - 2*k**2 - 8248*k*n wrt k.\nAnswer: -114*j*n - 502188*j - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-1)*350*(-369)\/(-15375).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 13*a**2 + 16*a + 5. List the prime factors of c(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17422 - 245\nAnswer: 17177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 - 57*g - 81. Let o be s(-24). Calculate the highest common factor of 54 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/((-358)\/(-36) + -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = -33*k + 38*k. What is the highest common factor of k and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 19, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.7 from 3.94.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.5 - -2. Let y be (-20)\/9 - (-10)\/45. Let f = -0.06 + -0.24. Which is the second biggest value?  (a) x  (b) f  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 + 14 + (43 - 20) + -45\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nmruummrmuuureu. Give prob of picking 1 u, 2 m, and 1 e.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/228 and 47\/342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1294562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f. Let g(k) = -5. Let d(v) = -c(v) - g(v). Let z be d(-11). Suppose -3*y = n + y - 14, z = 3*n - y. Solve 2*i = -n, -5*r + 0*i - 3*i + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b**2 - 2*b + 2. Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -47*w**3\/3 + 5*w**2\/2 + 16*w. Let b(f) = -31*f + 2. Let l(k) = -8*b(k) + 3*y(k). Let p(r) = r. Determine l(p(u)).\nAnswer: -34*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 6*b**2. Let v(y) be the second derivative of 8\/3*y**3 + 0*y**2 - 61*y + 0. What is w(v(h))?\nAnswer: 1536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -251 (base 7) to base 15.\nAnswer: -8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2534*s**5 - s**4 - 85*s**2 + 10590*s - 20.\nAnswer: 50680*s**3 - 12*s**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16195, 16196, 16197?\nAnswer: 16198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 3*g + 4 - 2 - g + 4 + 5*g + (4*g - 6*g + 3*g)*(4 + 0 - 3) - 3*g + g + 3*g to the form u + l*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + f = 4*t - 2896, 5*f = -2*t + 1413. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from fddfffdf?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1080*n - 2160*n + 1076*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 4*o**3 + 4*o + 5. Let t(r) be the first derivative of 4*r**3\/3 + r + 181. Determine -3*i(x) + 10*t(x).\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 5*f**2 - 4*f - 6. What is x(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -249, -236, -223, -210?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 - -0.1. Let p = 0.6 + -0.8. Is g < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 101*n + 1480. What is a(-13)?\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -107, -108, -111, -116, -123?\n\"Answer: -n**2 + 2*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-6\/11)\/v**(-17))\/((v\/v**(-17))\/(v\/(v*v**(2\/17)))))**(-37) assuming v is positive.\nAnswer: v**(11507\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**3\/19 - 80*d**2\/19 + 46*d - 76 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k - k + 63. Suppose 48 + k = 3*h. Let l = 34 - h. Sort 0.6, -4, l in increasing order.\nAnswer: -4, l, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**3 - 3*a - 3*a - 2*a**3 + 3 + 2*a to the form j + r*a**2 + v*a**3 + u*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 1410112.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 82 - 32 = 27*n, y = 4*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72224 or -163?\nAnswer: -72224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/21))**(-7)*(g\/g**(1\/7))**(-27) assuming g is positive.\nAnswer: g**(-472\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -382 - -556. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162)\/(sqrt(18)\/sqrt(3)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 3. Suppose b = -3*z + 3*p, 4 = 4*z + 5*p - 16. Suppose z = h + 1, 5*r - 6 = -3*h + 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -149, -1691, -6185, -15203, -30317?\n\"Answer: -262*i**3 + 96*i**2 + 4*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 12:56 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 6, -1\/5, 486, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x + 8. Let m be z(-2). Solve 3*o + 5 = -m*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m + 32*q + 321 = 10*q + 77, 2*m + 2*m = 2*q + 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-36)*i**(5\/4)\/i assuming i is positive.\nAnswer: i**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-1 - (-1 - (-4 - -4 - 3)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 7*a**2 - a - a**4 - 3 + 10*a**2 to g*a**3 + v + d*a**4 + s*a**2 + r*a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -109 - -109. Suppose -y = -5, -i - i + 4*y + 40 = a. Let f be (-3)\/(-1)*i\/45. Solve 0 = -4*q - 3*d - 25, -3*q - f*d - d = 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 146, 297, 498, 749?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3635324 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-41)\/738)\/(3\/18))\/(2\/84)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f - f**3 + 4*f)*(-1 - f**2 + 1)*(-4 + 19 - 10).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.3 + 33.3. Let r = -33 + q. Let v = -0.13 - -2.13. What is the nearest to 1 in v, r, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + sqrt(76) + -3 + (sqrt(1900)*4 - sqrt(1900))*2 + 0)**2 + -1.\nAnswer: -365181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 - 49.02. Let q = j + 1.02. Which is the third biggest value?  (a) q  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-9))\/(3\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 442056.4ml to litres.\nAnswer: 442.0564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 7*t - 1. Let g be o(1). Let a(b) be the second derivative of b**5\/20 - 7*b**4\/12 + 5*b**3\/6 + 5*b**2\/2 + b. What is a(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 13*r**2 + 11*r - 11. Calculate d(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -1 - 11. What is the third biggest value in 3\/7, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -2  (c) -0.06  (d) 176  (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b - 10. Let c be u(6). Let i be 0\/c - 42\/(-7). Suppose 3*j = i + 30. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*m**3 + 16*m**4 + 19*m**4 - 2*m**4.\nAnswer: 3*m**3*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + 24*j**2 + 23*j - 10. Calculate z(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -165  (b) 0.1  (c) -3\/4  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -96*d**3 + 43*d**3 - 93*d**3 + (5*d - 3*d - 4*d)*(3*d**2 - 5*d**2 + d**2) + 3*d**2 - 3*d**2 + 7*d**3.\nAnswer: -137*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-56)\/4) + -3 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/156149 and -51\/359.\nAnswer: 56057491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -c**4\/4 + c**3\/3 - 25. Let m(a) = 11*a**3 - 6*a**2 + 2. Give -m(o) - 6*v(o).\nAnswer: -5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -4*m - 11, -7*m + 9*m - 5*f = 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -20*n + 0*n**3 + n**3 + 22*n - 4 + 5*n**2. Suppose 3*j + y = -9, 2*y = -4*j - 7 - 3. Give w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of ((-194)\/(-14) + 1)\/(196\/8918)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 4*x**2 + 424*x = 0.\nAnswer: -106, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*1*-5) + (1*sqrt(117) - sqrt(117))*3)\/((sqrt(108) - (6*-3*sqrt(108) - sqrt(108)))\/sqrt(12)).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, m: 1, p: 8, k: 6, d: 1}. Give prob of sequence kp.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - ((-3)\/(-1) - 3). Let n be -2 - (-1)\/(h\/(-14)). Suppose p + 3*t - 6 = 0, t + 14 = 4*p + 3*t. What is the greatest common divisor of n and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 9*t. Suppose 9 = -d - 2*d + 5*s, d - 5*s + 13 = 0. Let r(z) = -z + z**d + z + 0*z**2. Give r(o(w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -112*a*q + 487988*a - 18666*q - 5 wrt q?\nAnswer: -112*a - 18666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 2*j + 50*j. Solve 7*p + 31 - 3 = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**4\/24 - d**2 - 4967*d. Let g(z) = z**2 - 1628*z. What is g(h(o))?\nAnswer: o**2 - 1628*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179604243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l - 33. Let f be c(-15). Let u be -2 + 3 + -1 + 12 + f. Let x(k) = -k**3 + 9*k**2 - k + 8. What is x(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 524 and 46973063?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10100100111 (base 2) to base 16\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/14790 and 1\/124.\nAnswer: 916980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -90 - c?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 - 32\/6 - (-16)\/30. Let -n*k**2 + 2\/5 - 2*k**3 - 4\/5*k**4 + 2\/5*k = 0. Calculate k.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 4335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5370557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 119686 (base 13) to base 16.\nAnswer: 66b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(6)\/sqrt(2))**2 - sqrt(3))*-6.\nAnswer: -18 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*r - 252 = -33*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 21*m - 15. Calculate o(-23).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9645343 or 1?\nAnswer: 9645343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 636 = -2*z - 4*d + 624, 2*z + 5*d - 4*d = 9 - 24 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 6*y + 9. Let w be k(5). Suppose w*p - 117 - 45 = 2*o, p = -4*o + 36. Solve 5*h + p = -5*z, z + 9 = -5*h - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-28) + 1 - 518\/98?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -80, -164, -280, -428, -608?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.07  (b) 16  (c) 107  (d) 5  (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 7:44 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.9364957 grams?\nAnswer: 0.0009364957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.21  (b) 1\/5  (c) 5  (d) -2\/255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -187*y**3\/3 + 466*y - 109. What is the derivative of r(j) wrt j?\nAnswer: -374*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5*l + 17, 2*l - 4*l + 10 = 0. Suppose -4 = -4*m, t*g + 2*m - 3*m = -4800001. What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 250?  (a) -10  (b) -16  (c) -2\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 292256784 by 46192.\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gntbqbi. What is prob of sequence nbg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -312*(-30)\/1680*((-88)\/12)\/11?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-5))\/(130\/(-325)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12216002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15950693.\nAnswer: 11, 1450063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 2*j = -6, 5*x + 2*j = 4*j + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v - 1518 = -45*v. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 485310 = -140*o + 170*o. What are the prime factors of o?\nAnswer: 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.67953 rounded to two decimal places?\nAnswer: -19.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 134 = -3*y, -5*l - 27 = -2. Let v = 8 - 6. Let d = v - -9. Calculate the remainder when y is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1273, -1371, -1545, -1831, -2265, -2883, -3721?\nAnswer: -4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10083, -10090, -10101, -10116?\nAnswer: -10135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/i**26))**(-7\/6)\/(i**(-25))**(-23) assuming i is positive.\nAnswer: i**(-1816\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3*k**2 - 2*k - 4. Let d = -16 + 11. Let s be u(d). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (4 - 7) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 496341?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -9.7, -767?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-680)\/(-102))\/(7\/(140\/75)). What is the fourth smallest value in 0.1, b, -2, 3, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90 - 307 - 133 + (1 - 1 + 2)*(-1 + 0 - 1) + 0 - 4 + 3)*(-8*o - 10*o + 12*o).\nAnswer: 3210*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -25. Let k(i) = -2*i**3 + 3*i**2 - i + 1. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 12*x**2 - 14*x - 8. Let o be h(-13). Suppose -4*m + o*m = 154. Let g = -64 + m. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -4*z**3\/9 + 8*z**2\/3 + 20*z\/3 + 44. Factor r(w).\nAnswer: -4*(w - 5)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 240 and 94368.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in 0.3, 0.4, -1, -2, 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -523 + 3132. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 7:11 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 4:14 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6784 and 3328.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 15 = -37*j + 40*j, 5*m + 5*j + 5 = 0. Solve 3*v = -4*g - 9, -m*g + 14 = 3*v + 23 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 - 50*i + 795. Determine q(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -14*u**2. Let c(x) = 18*x**2. Determine c(p(s)).\nAnswer: 3528*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 154933 to the power of 1\/2, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**3\/9 + 124*y**2\/9 - 536*y\/9 + 416\/9 = 0.\nAnswer: 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjjejnjye. What is prob of picking 3 j and 1 y?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -98.9 - -98.7. Which is the nearest to 1?  (a) -0.7  (b) g  (c) -3\/7  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from hffihffmhhhimx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*5\/2*93\/(9765\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 53649965 and -0.2.\nAnswer: -10729993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 910350 and 16830?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -314 - -838. Let z = -524 + f. Solve 4\/15*j**2 + 2\/15*j + z = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 10\/201?\nAnswer: 10\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**6\/w*w)**(-1\/19))**(-10) assuming w is positive.\nAnswer: w**(60\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3898*q - 35. Give j(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2503*a**5*c - 1614*a**4*c - a**2*c + 41347*a*c + 3*a - 2*c wrt a?\nAnswer: 150180*a**2*c - 38736*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 1 - 5. Suppose d + g + 1 = c, -2*c = -3*d - 4. What is the common denominator of -75\/14 and c - (3\/(-54) + 0)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 16*d - 1. Calculate y(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7610)\/(-194816)*8\/5.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -3429, -3419, -3409?\nAnswer: -3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 242 and -0.3380328.\nAnswer: 241.6619672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 3:01 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - -2)\/(-2) - 8. Let d = -10 - q. Let z be ((-1 - -3) + -2)*d. Solve -3*u + 2 + 4 = z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*o**6 + o**2 + 2*o**2 + 2*o**6 - 4*o**6 wrt o.\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by -11\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -21*a. Let y(r) = 1642*r**2 - r - 431. Give y(h(u)).\nAnswer: 724122*u**2 + 21*u - 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 27 - (4 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2420, 4841, 7262?\n\"Answer: 2421*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 3*m**2 - 4*m + 6. Let t be 18\/2 - (-13 - -10). Suppose 23*v = 29*v - t. Let i be s(v). Solve i*j = -0*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 382 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/29)*l**(-19) assuming l is positive.\nAnswer: l**(-553\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, g: 1, t: 3, p: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40, 83, 102, 97, 68?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*n**2 + 95*n**2 + 150*n + 1 - 2*n**3 + 4*n**2 + 1 + 9*n wrt n?\nAnswer: -12*n + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12 - 43579?\nAnswer: -4358b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of f**6\/54 + 5*f**5\/9 + 2*f**4\/3 + 528. Let i(h) = 0. What is h?\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 18*j**2 - 19*j + 3. Let p be l(-19). Calculate the lowest common multiple of 3 - (-1 - 11) - p and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 146.039 - 146. Let y = -2.039 + d. Which is the smallest value?  (a) -3  (b) y  (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2127*h - 2137*h = 0. Solve -z - 2*r = h, 0*z - 2 = z + 3*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22 - 56264350?\nAnswer: -56264325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*(sqrt(425) + (3 + sqrt(425) - sqrt(425))))**2.\nAnswer: 750*sqrt(17) + 10850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1) - (-3 + -11). Suppose -4*u = u - d. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7093*h - 7094*h - 24 = 5*b, 3*h - 4*b = 42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546*b**2 + 38*b**3 + 1637*b**2 - 533*b**2 - 558*b**2.\nAnswer: 38*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16736 is divided by 16720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7926972 micrograms in nanograms?\nAnswer: 792.6972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(3\/(-3))*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42 + 2 + -3 - 1. Suppose 0 = -0*s - 2*s + n. Suppose -5*i + 59 - 23 = w, i - 3*w = s. What is the remainder when 22 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0497 + -1.9503. Let d = -0.25 + -0.05. What is the smallest value in p, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -604639*t**3 + 48*t + 85.\nAnswer: -3627834*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3875070.4 rounded to the nearest ten thousand?\nAnswer: -3880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 52521853 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -18*d**2 - 43*d. Let k(i) = -10*i**2 - 23*i. Give 7*k(g) - 4*p(g).\nAnswer: 2*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 6*w**2 + 3*w + 8. Let o be a(-6). Let j = 38 + -13. Let l be (12\/o)\/((-10)\/j). Solve l*c = 4*t - 13, t = -c - t + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -15, 0.1, 1, -36?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 5, u: 3, d: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1407211574.\nAnswer: 2, 89, 337, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxx when three letters picked without replacement from xjxxjjxjxjxjxj.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*r**2 + 150*r + 18984 wrt r.\nAnswer: 10*r + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1404 from 4801.28615.\nAnswer: 4801.14575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {e: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1224)*-1 - sqrt(1224)) + (sqrt(204)*-1 + sqrt(204))\/sqrt(6))\/(6*2*-1*sqrt(2)*-4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1828421 divided by -6?\nAnswer: 1828421\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 126, 415, 750, 1155, 1654, 2271, 3030, 3955?\n\"Answer: 4*s**3 - s**2 + 264*s - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4930 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 divided by 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 11*z - 1. Let c be q(10). Let u = c + -14. Let x be 2*(-4 + (-21)\/u). What is the nearest to 1\/4 in -1, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.88455 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*p + 21899 - 50*p + 27*p.\nAnswer: -p + 21899","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 1 + 1 - -30. Suppose m - c = -3*m. Solve 4*v - 3*t = t + 8, -5*v - t = m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*f**5 - 24360*f**4 - 2484645*f**3 - 86110075*f**2 - 125013255*f - 46363545 = 0.\nAnswer: -101, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, p: 1, a: 1}. Give prob of picking 1 p and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**2\/5 + 2118*g\/5 - 59373\/5 = 0. What is g?\nAnswer: -733, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -18*d + 2. Let o(a) = 19*a - 2. Let t(m) = 2*l(m) + 3*o(m). Let j be t(2). Let q = 36 - j. Put 3, 7, q in descending order.\nAnswer: 7, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2 = -4. Let y = -191 - -195. What is the greatest common factor of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-21)*78\/((-3744)\/(-336)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4, 482.2, -9, 0.2, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 84 and 3108?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 - 33. Let o(x) = 14*x + 2*x**2 - z*x**2 - 12*x - 8*x - 9. Determine o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2736)*1 + -5.\nAnswer: -5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 56 = 2*t, -3*a + t + 16 = -88. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -3.1. Let o = 2.6 - 1.6. Is x less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003573 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8226292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 37 + -38 - (-1 + (-173)\/(-352)). Let x = -7\/32 - u. Find the common denominator of 17\/3 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30666 + 63?\nAnswer: 31062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.63 + -0.07. Let f = -0.1 + i. Let w = f - -0.80001. Round w to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1157 - 486. Suppose -5*r - o + 6 = 0. Let n = r - -218. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 3:41 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-42) + 24\/14. Suppose -7*h + p = -w*h, -3*h = -5*p. Suppose -x + 2 + 5 = h. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/23)*h*h**(2\/21))\/((h*h\/(h*h**(-7)*h*h))\/(h**(-2\/23)*h)) assuming h is positive.\nAnswer: h**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -80\/61 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1021 - -1413302?\nAnswer: 1412241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000527 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-8) + (-228)\/(-16). Let f be (-10)\/(-14) - 4\/s*-1. Let c be (f\/9)\/((-35)\/30). Is -2\/5 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/17  (b) -2\/9  (c) -257\/20  (d) -35.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**5\/2 - 6961*o**4\/6 - 8114*o**3\/3 - 2318*o**2\/3 = 0. Calculate o.\nAnswer: -2318, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -499 + 501. Let d(p) = -25*p + 57. What is the smallest common multiple of d(a) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 57 = -4*b. Suppose -3*d + 2*j + 59 = 0, 0*d - j - b = -d. 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: Suppose 5*a - 80 = -0*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -4 - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-57 - 35 + 77)*(2*u + 2*u**3 - 2*u) in the form i*u**3 + d*u**2 + t*u + s and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 95714449 and -3806.\nAnswer: 95710643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k - 3*k + s - 45, -2*s - 50 = 4*k. What is the units digit of (936\/40)\/(1 - k\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3. Let i(x) = -4*x**3. Suppose -3*t + p - 2 = 0, 3*t - 23*p = -21*p + 2. What is t*i(r) - 9*g(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a. Let b(r) = -13*r**2 + 1307*r + 10. Determine s(b(m)).\nAnswer: 26*m**2 - 2614*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**5 + 2403*i**4 - 26142*i**3 + 56868*i**2 + 9576*i - 75840 = 0.\nAnswer: -1, 2, 8, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**3 - 8*g**2 + 3*g + 5. What is the units digit of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11038 - 11035. What is the second biggest value in 2, -5, 226, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(5) - (sqrt(5) - sqrt(20)*5)**2).\nAnswer: -1215 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 + (8\/(-6))\/((-10)\/(-36)). Suppose -1\/5*l + 1\/5*l**2 - 1\/5 + j*l**3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 206, 402, 602, 806, 1014, 1226?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - z = -0*w + 1556, 0 = 2*w + 2*z - 620. Suppose 4*y + j - w = 0, -4*y - y + 397 = 4*j. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.6015 - -39871?\nAnswer: 39855.3985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 37*c**2 + 3*c + 1. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 4667713.\nAnswer: 4\/4667713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6244789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 1 - ((-275)\/40 - -1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 422438.\nAnswer: -84487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 10*x. Let h(s) = -17*s. Let p(j) = 16*j. Let y(r) = -4*h(r) - 5*p(r). Give q(y(m)).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - s + 12. Let g = -19 + 19. Let l be w(g). What is the third derivative of 0*y + 0*y - y**4 + 14*y**2 - l*y**2 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkkddddddkdddd. Give prob of picking 2 d and 2 k.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2 + 43291072*h - 468529228727296 = 0. What is h?\nAnswer: 21645536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + o + p = 4*p - 15, -5*p = 3*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (1 + 2)\/(-1). Let o(u) = 1 - 3*u**2 + u - 5*u + h*u + 17*u**2. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = 5378*b - 5360*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 156*p**3 + 9*p**2 - 24*p + 18. What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**2. Suppose 5*g + p = 74, -3*g - 2*g = 5*p - 70. Let o(h) = -13*h - 20*h + 54*h - g*h. Calculate b(o(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 11 = -23, -2*c - 28 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8.6 or -3?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((-36)\/(-21)) + (-26)\/(-39). Let h(q) be the third derivative of 0*q + 0 + 1\/12*q**b - q**2 + 1\/120*q**5 - 1\/24*q**4. Let h(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -4*i. Suppose i = 2*m - 17 - 15. Calculate the greatest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 2*h - 13*h**3 - h**2 + 2*h**2. Let t be a(-1). Suppose 0*n + 2*n = t. Solve 5*l = x - 25, 3*x = 3*l + 4*x + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6465 and 7.\nAnswer: 45255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 60\/(-10) + -5 + 11. Solve -19*x - 62 - 14 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -13*x - 89. Let t be z(-8). Suppose -198 = -t*b + 6*b. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64873942481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 603, 2, -7, -77, 5, 1 in descending order.\nAnswer: 603, 5, 2, 1, 0, -7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -0.6  (c) -0.1  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 916 by -1470041.\nAnswer: -916\/1470041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63052 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/14, -30393, -4, -2 in increasing order.\nAnswer: -30393, -4, -2, 9\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14.0385 - 4.0423. Let q = -20.0962125 + x. Let d = -10.1 - q. What is d rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/3 - 112*q**3\/3 - 1568*q**2 - 87808*q\/3 - 614656\/3.\nAnswer: -(q + 28)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781020 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let v = -79 - -321\/4. Which is the nearest to -0.1?  (a) -1\/2  (b) v  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52883 is divided by 1773.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 902 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 13*z**5\/3 + 17*z**4\/2 + 4*z**3\/3 - 11*z**2\/3 + z - 314. Solve d(p) = 0 for p.\nAnswer: -1, 1\/5, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 84\/(-108) + 6\/(-54)*2. Sort 231, -3, 5, d.\nAnswer: -3, d, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {l: 11, g: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12849527687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/52 + 89\/260. Let w(t) = t**2 + 4*t - 11. Let m be w(-6). Which is the nearest to -1?  (a) m  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 15) + 12\/3. Is -12 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 2*g + 6. Let z be b(-4). Let p be (-5 - (1 - 4))*(-1)\/z. Let s be p + 5 + 23 + 1. Is s smaller than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80)\/6*4*(-6)\/120?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 833226940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**1)**9*(r\/(r*r\/(r**(-3)*r*r))*r*r)\/r*r*r*r*r*r**6*r)**(-47))**19 assuming r is positive.\nAnswer: r**(-16967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*(-7*2 + 4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -435*m**2 + 65*m + 122. Give f(-2).\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c + 4*c - 3*c)*(0*c**2 - 4*c**2 + 5*c**2) + 8*c**2 + c**3 + 0*c**2 - 9*c**2 in the form l*c**3 + p + s*c + g*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 124187159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -16560 divided by -1840?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 13 - (-73 - -85).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1204 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 3)*-2*1. Let j = -24 - -36. Suppose 0 = o*r + 5*p - 39, j = 2*r - 4*p - 0*p. Solve -u + r = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 14. Calculate the remainder when 37 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61*b**2*j**3*q**3 + 7*b**2*j**2*q**2 - 2*b*j**2*q**3 - 6*b*j*q + 31*j**3*q wrt b?\nAnswer: 122*j**3*q**3 + 14*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -10*r**2 - 163*r - 32. Let m be i(-16). Put -1, m, 21 in descending order.\nAnswer: 21, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o + 19. Let f be b(7). Let a = 12 - 4. Let i = a - f. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 14. Let w be s(-3). Let k(o) = 8*o**2 - 4*o - 431 - 5*o + o + 437. Let x(t) = 7*t**2 - 7*t + 5. What is w*k(q) - 6*x(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(10\/(-18)))\/((-27)\/(-90)). Let o be -9*(-5)\/(-15)*(-4)\/a. Solve -4*y = -2*i + 18, 0 = o*y - 3*i - 0*i + 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -31\/162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-26648)\/(-14) - (-152)\/266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f + 16. Let n be i(10). Let b be n - (2 + -1 + 2). Let y be 7\/(-6) - (-2)\/b. What is the third smallest value in y, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1318170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 181\/3232236 and 113\/749504?\nAnswer: 51715776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28855 in -2\/23, 0, 55, -0.4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*-1)*2 - (-2 + (sqrt(171) - (sqrt(171) + 0))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -5\/6  (c) 1\/8  (d) 3\/4  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/711389 and -24\/7?\nAnswer: 711389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 154 = 4*z, -38 = z - 290*n + 315*n for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 9*w**2 - 3*w - 1. Let k(u) = -4*u**2 + u. Calculate 7*k(n) + 3*y(n).\nAnswer: -n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56)\/sqrt(4)*-4*3)\/(sqrt(28)*-2 - sqrt(42)\/(sqrt(6) - (sqrt(6) + (sqrt(54) - sqrt(6))))))**2.\nAnswer: 1152\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27585 by -336.\nAnswer: 9195\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -535*w - 665*w + 707*w - 1 to x*w + u and give x.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/(-30)*5 - -15724 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -36\/38115143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 657720 divided by 109620?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -231*q**4*y - 2*q**2*y**2 + 265*q*y**2 - q*y wrt q?\nAnswer: -2772*q**2*y - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2847, 1575, 303, -969, -2241?\n\"Answer: -1272*d + 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of 157*q**7\/210 - 115*q**4\/12 + q**2 - 20*q. What is the second derivative of s(k) wrt k?\nAnswer: 1884*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from nnnnnnnnnnnnnannna.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -p**7\/2520 + p**5\/15 - 12*p**2. Let l(j) be the third derivative of z(j). Let v(f) = -7*f. Determine l(v(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5036 - -17128. What are the prime factors of r?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose -8*r = -4*r - 5*h - 17, -2*r + h = -1. Let t be (2*(-1)\/r)\/1. Let y be (t\/3*0)\/2. Solve 3 = -3*m - y*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 4*w**3 - 2*w**2 - 2*w - 1. Let r be l(-1). Let i = 1.187 - 1.187. Which is the second biggest value?  (a) -0.1  (b) i  (c) r  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 4*l + 25, -889*m + 896*m = 3*l + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from ldlhhlhlhee.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -158, -253, -342, -425, -502, -573?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*3*-2)\/sqrt(10).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -77274 divided by -2\nAnswer: 38637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + y + 1. Let r be l(-2). Let t = r + 7. Suppose -t*q + 31 = -5. What is the smallest common multiple of q and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 413 - 68?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1271 and -0.3?\nAnswer: -381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.11*318.62\nAnswer: 35.0482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -4*x**4 + 220*x**3 + 28*x**2 - 1516*x - 1320 = 0.\nAnswer: -2, -1, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/(-21)*(30\/36 + (-6)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -117956 or -117957?\nAnswer: -117957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**5\/15 - g**4\/3 - 13*g**2. Solve v(p) = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236674817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2a8336 (base 16) to base 2\nAnswer: 1010101000001100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**4 - 17*g**3*s - 76*g*s - 2*s - 3 wrt g?\nAnswer: 12*g**2 - 102*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -16026 in decreasing order.\nAnswer: 0, -4, -16026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 4 = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 57470*p + 5 - 7*p**2 - 57470*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8528955 to the power of 1\/2, to the nearest integer?\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is e9 (base 16) in base 11?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 83924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by ((-152)\/(-6))\/((-22)\/(-33)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 12. Find p, given that 2*p**4 + 0*p**2 + n*p - 4*p**4 - 6*p**3 - 6*p**2 - 2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - 1*-2) + 4. Let x be (-38)\/(-8) - (-1)\/w. Suppose -x*l - o = 2, l + 2*l + o + 2 = 0. Which is the closest to l?  (a) -5  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -2*u + 4, 3*x - 30 = 4*u - 38. Solve 15 = u*t - a + 7, -3*t + 12 = -2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 16*b - 18*b. Is ((-25767)\/49 + (-2)\/14)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -158*x - 83. What is the tens digit of k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 1.1. Let i = -19 - -16. What is the closest to -3 in j, 1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 37715, 75437, 113159, 150881, 188603?\n\"Answer: 37722*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in 3\/83, 19, 0.5, 0.4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 584487 and 185739?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -0*f + 4*f - 3*d, 3*f + 2*d = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2230467 and -2.\nAnswer: 2230465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-308)\/(-56))\/((-1*3\/6)\/(-1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven quarters of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**7\/(y\/(y\/(y*y**(-3)*y))))**(-12\/7))**(-4))**(-15) assuming y is positive.\nAnswer: y**(-5760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 24*o**2 + 96596. Let k(p) = -p. Calculate k(z(a)).\nAnswer: -24*a**2 - 96596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3*(5*sqrt(891) + sqrt(891) + sqrt(891)) + (sqrt(99) + sqrt(99) + 1*sqrt(99)*6)\/((sqrt(144)\/sqrt(4))\/sqrt(4)))**2 + 1.\nAnswer: 1086*sqrt(11) + 360381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence siis when four letters picked without replacement from sssiissssssssissssss?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 260405103 and 694413608?\nAnswer: 2083240824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 826 - 822. Let h = -0.86 + -0.14. Which is the third smallest value?  (a) x  (b) h  (c) -2\/27  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -16. Suppose 0*x - d*x + 4*n = -29, 4*x - 3*n - 27 = 0. Solve 3*k + 3*j + 1 = j, 5*k = -x*j - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11\/83 + 133\/249. Let o be ((-6)\/45*1)\/((-14)\/(-10)). Which is the biggest value?  (a) 0.1  (b) o  (c) -1\/3  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 4:43 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + m. Let v(g) = -g**2 + 11*g - 1. Let d be (-22)\/10*10*(-6)\/12. Let w be v(d). Determine f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 8*g - 11*g. Let z be 2\/g*-1*6. Solve -3*p = -z*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014482357 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*d**2*y - 7114*d**2 + 36*d*y - 43*d + 437*y wrt y?\nAnswer: -3*d**2 + 36*d + 437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(12) + sqrt(24)\/sqrt(2)*-1 + sqrt(12)))\/(-5*sqrt(576)*-1 - sqrt(576)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 + 0 + 5 - -135. Let g = -108 + r. Suppose -5 = 3*b - 26. Calculate the remainder when g is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -5*z**3 - 365*z**2 - 300*z + 4320 = 0.\nAnswer: -72, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*y + 28*y + 30. Suppose -6 = -2*i, -56 = 2*n - y*i - 281. Is 39 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 328 + -287. Calculate the remainder when v is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -181, 51, -3\/7, 2\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -23 - 57. Let m be -2*u\/(-48)*(-135)\/2. Let y = m + -161. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 2  (b) -2  (c) 73\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3069, 6034, 8973, 11874, 14725, 17514?\n\"Answer: -2*f**3 - f**2 + 2982*f + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(105\/(-96)))\/((1470\/(-49))\/(-210)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 338 is divided by 182?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -45*o - 2080. Calculate the remainder when s(-61) is divided by 97.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*n**3 - 56*n**2 + 66*n - 16.\nAnswer: 2*(n - 8)*(n - 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -206, -405, -580, -719, -810, -841?\n\"Answer: 2*s**3 - 213*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3))**(5\/7)\/((z\/(z*z**(-5\/3)*z*z*z)*z)\/(z\/(z**(1\/7)\/z))) assuming z is positive.\nAnswer: z**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*n - 2940 = -15 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/4  (b) 0.1  (c) -5  (d) -29\/2  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -454 = -9*w - 481. What is the biggest value in 2\/79, 0.6, w?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 5*x**2 - 8*x - 10. Let y be u(-6). Suppose 0 = -4*o + c + 1559, y*c + 787 = 5*o - 1161. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + 8*q - 870. Let f be v(26). Solve -6 = f*p - 104 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21825980179 take away 23.511?\nAnswer: -23.72925980179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (5 + -3) - -1) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/14*(-19)\/(-342)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 858831713 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -12*l. Suppose 3*h + x = 9, -4*h + 9 = -h - 5*x. Let m(b) = -6 + 3 - 2*b + h. Calculate m(s(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1406)\/932)\/(-1 - 0). Let g = s - 2\/233. Which is the third smallest value?  (a) 0.2  (b) 4\/9  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/244 and -101\/64.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -113, -184, -259?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 49 + -1308b0?\nAnswer: -130866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1566 and 170694?\nAnswer: 170694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2\/7 - 30*j + 2300\/7 = 0. What is j?\nAnswer: -115, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 6. Let h(p) = -p - 8. Calculate h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*k + 245*k + 7504 - 7504.\nAnswer: 158*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -34. Let t = 1.8 - 18.3. Let q = t + j. Which is the nearest to -1?  (a) 0  (b) q  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2585, 5184, 7779, 10370, 12957, 15540, 18119?\n\"Answer: -2*k**2 + 2605*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4172 and 229758.\nAnswer: 3216612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from {e: 3, f: 3, r: 1, x: 3, d: 1, j: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from crcncycyyc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 6*j + 11. What is the remainder when g(8) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - -196. Suppose 6*m - 515 - d = 0. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 2) + -5 + 0 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -2*a**5 + 12 + 0*a**4 + 0*a + 0*a**3 + 1\/3*a**6 - 12*a**2. What is the second derivative of g(j) wrt j?\nAnswer: 40*j**3 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/86 and 79\/596.\nAnswer: 25628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 101801593537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(72) - (sqrt(66)\/sqrt(3))\/sqrt(11)).\nAnswer: -3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -10*m**3 + 680*m**2 - 6*m + 77. What is f(68)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*z + 28*z - k - 18 = 0, -z = -4*k + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - s + 1. Let c(f) = -8*f**2 - 4*f + 5. Let l(p) = -2*c(p) + 10*d(p). Find the second derivative of l(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*z - 18*z - 1230. Suppose 0 = 5*m + 4*r - r + z, 2*r = -3*m - 369. Let y = m + 237. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = -4*l + 96. What is the remainder when l is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22\/6 + (-8)\/12. Find the second derivative of -9*g + 7*g**3 - 2*g**d + 14*g wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.52 + -0.02. Suppose 3*x - 6 = 3. Which is the third biggest value?  (a) y  (b) x  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2154149940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -36496 and -36490 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 1:11 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8418348 and 5612232.\nAnswer: 16836696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61.5 - 59.5. Sort -1073, u, -5 in descending order.\nAnswer: u, -5, -1073","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -12*u**3 + 0*u - 35\/2*u**4 + 0 - 2*u**2 = 0.\nAnswer: -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 327\/8, 5?\nAnswer: 327\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - 0. Suppose 5*b - 13 = -4*v, v - 2*b - 6 = -19. Let q = c - v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, k: 2}. What is prob of sequence aka?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 3 + 1. Let c = -52 + 1. Let t = c + 203\/4. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 4, 12*j = 5*n + 11*j - 648. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 + (2 - (-1 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/((270\/20)\/(-27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - m - 21, -16 = -5*b + 3*m - 3. Suppose 58 = b*r - z, 16*z - 21 = -3*r + 12*z. Solve 3 = -3*y + 3*l, -r = -0*y - y - 2*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -151*q + 456. Let j be n(3). Let m(h) = -h - 4. Let p be m(-7). Suppose 0 = -5*z + 5*k + 35, -29 + 2 = -p*z + k. Solve -j*o - z = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 19514867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11 or -5508?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.5, 3, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(3)*5) + sqrt(77)\/(sqrt(7) - sqrt(84)\/(-2*sqrt(12))).\nAnswer: 17*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0407546km to centimeters.\nAnswer: 4075.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-4))\/j**(1\/4))\/(j**(2\/3))**(-4) assuming j is positive.\nAnswer: j**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -335 + 333. Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*h = 207*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1396*t**3 - 2*t**2 - 423*t.\nAnswer: 8376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 201*x - 152. Let d be f(-5). Which is bigger: -1156 or d?\nAnswer: -1156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 76\/3*j**3 + 0 - 26*j**4 + 2\/3*j**5 + 0*j**2 + 0*j = 0.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 120129, 479316, 1077961, 1916064, 2993625?\nAnswer: 4310644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4227134 kilograms in micrograms?\nAnswer: 422713400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 44 = 8. Solve 1 = -3*q + a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6703540829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**4 + 0*n**4 + n**4 - 8*n**4 + 3*n**4 - 2*n**4 + (5*n - 2*n - 4*n)*(2*n**3 - n**3 + 0*n**3).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186296.\nAnswer: 2, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*t = 21*t + 44. Let a(m) = -t*m + 4*m + 0*m + 6*m + 11. What is a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 30594277, 30594279, 30594283, 30594289, 30594297, 30594307?\n\"Answer: g**2 - g + 30594277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 9:11 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.5779 to two dps.\nAnswer: -7.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, -10065, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116690212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 243?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6048, -8571, -11094, -13617, -16140, -18663?\n\"Answer: -2523*o - 3525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5962077 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 + 2*s**2 + 7*s - 7*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/70 + -2*(-4)\/(-28). Sort -1, i, -6, 0 in descending order.\nAnswer: 0, i, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/20 + -1 + 1. Let z = 95.3 - 101. Let p = 6 + z. What is the closest to -1\/2 in w, p, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6.7 and -208336.\nAnswer: -208329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -g**6\/30 - 5*g**4\/3 + 5*g. What is the third derivative of b(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 98 + -40. Let j = -57.99756 + x. What is j rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/55*(9 - (6 - -8)). Let a(r) be the first derivative of 0*r + 17\/4*r**4 - 6*r**x - 10 + 0*r**2. What is the third derivative of a(q) wrt q?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 326*p**4 + 598*p**2 wrt p?\nAnswer: 7824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-10 - -1)*(-10615)\/1737 and 1150?\nAnswer: 12650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1156491.\nAnswer: 3, 7, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -113\/3 - -38. Put s, 0.3, 5\/2 in decreasing order.\nAnswer: 5\/2, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8850263 (base 10) to base 11\nAnswer: 4aa5374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 3*h - 34. Let d be t(-11). What is the highest common factor of d and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-93)\/(-403))\/(3\/(-39))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -f**5\/60 + f**4\/12 + 67*f**3\/6 - 18*f**2. What is the tens digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**2*n**5 + b**2*n**2 + 23*b**2*n - 4*b**2 + 572*n**3 - n wrt n?\nAnswer: 60*b**2*n**3 + 2*b**2 + 3432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*y + 12*y - 60. Let w = 7 - 6.94. Which is the nearest to w?  (a) y  (b) -4  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11713, -23423, -35127, -46825, -58517?\n\"Answer: 3*a**2 - 11719*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 16*p - 32. Let j be h(18). Let z(t) = t + t - t + 3*t. Let f(v) = -v - 6. Let u(g) = 5. Let q(x) = 5*f(x) + 6*u(x). Give j*z(n) + 3*q(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = h - 10. Put -4, -2, h in ascending order.\nAnswer: h, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2500 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*48\/(-400)*30?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 1 + 4 = 5*z, r = -4*z + 4. Let i = 4.8 - 4.6. Which is the biggest value?  (a) z  (b) i  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 + -21. Suppose -26 = -2*l - b*l - 3*t, 31 = 4*l - t. Solve l = 2*c + 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/745  (b) 0  (c) 4  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158 = -13*b - 119, -g = b - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -19\/336*r**8 + 0*r**7 + 0*r**4 + 0 + 0*r**6 - 1\/12*r**5 + 0*r**3 - 18*r**2 + 0*r. Find the third derivative of h(y) wrt y.\nAnswer: -1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18695249*x**2 - 14658116?\nAnswer: 37390498*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 3*b**5 + 168*b**4 + 1944*b**3 + 7776*b**2 + 9072*b = 0.\nAnswer: -42, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 11 + 10 = 0. Suppose o*h + 280 = 3*h. Let k = 119 + h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 154 and 13332.\nAnswer: 93324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 140 by -37.\nAnswer: -140\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 8. Suppose 67*i - 22*i + 45 = 0. Which is the closest to i?  (a) 4  (b) 1.7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -402*g + 440*g - 1184308. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46 - 76567205.92.\nAnswer: -76567159.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from izizjliiillzljzllzl. What is prob of sequence iljl?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of -2*h**3\/45 + 44*h**2\/5 - 104*h\/3 - 5880. Solve w(u) = 0 for u.\nAnswer: 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/25)*n**(29\/3)\/n*(n*(n\/(n*n*n\/(n*n\/((n*((n*n**(-2\/13)*n*n)\/n)\/n)\/n))*n))\/n)\/n**(1\/34) assuming n is positive.\nAnswer: n**(227777\/33150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d - 1. Let y(b) = -2*b**2 + 4*b - 2. Suppose -5*u - 4*x = 156 - 666, 5*u - 535 = x. Let r = u + -105. Determine r*y(h) - 4*f(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + 28*b**3\/3 + 3*b**2 - 179*b + 5516. Calculate d(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 297 and 3479630.\nAnswer: 93950010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*y + y - 5*y)*(y - 2*y - y) - 190 + 9*y**2 + 190 - 2*y.\nAnswer: 33*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 6. Let n be 3*1 - (-73 + 70). Let v(y) = y**3 + y**2 + 5. Determine n*v(w) - 5*m(w).\nAnswer: w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**3 + 11*d**2 + 4*d + 2. Let v be i(-5). Suppose v*j + 95116 = 3*m + 11*j, 0 = -2*m + 5*j + 63380. What is m rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 3*x**2 + 4*x - 172. Let v(j) = 2*j**2 + 3*j - 85. Calculate 3*c(m) - 5*v(m).\nAnswer: -m**2 - 3*m - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 22*f + 2. Suppose 132 = 2*n - 8*n. Let h be x(n). What is the third derivative of -j + 10*j**5 + 21*j**h - 12*j**2 + j wrt j?\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -50265, -201283, -452977, -805347, -1258393, -1812115?\n\"Answer: -50338*l**2 - 4*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - b + 57 = 2*b, 57 = 3*m + b. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mhmhthhmlmh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 36 = 4*d. Let j be (-195)\/(-18) - 3\/d. Calculate the least common multiple of 9 and 4\/(-22) + 134\/j + -2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -7548, -15117, -22686, -30255, -37824, -45393?\nAnswer: -52962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 4:51 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**3 - 4*w**3 - 8*w**3 + 14*w**2 - 6*w**2 - 9*w**2.\nAnswer: -22*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 1\/15*t**4 - 16\/5*t**3 - 2*t - 65 - 10*t**2. Factor p(b).\nAnswer: 4*(b - 25)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 9:04 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.5*8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220010 + 10?\nAnswer: 220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of d**2\/2 - 5*d - 13. Let v be t(8). Suppose 2*i - 203 = -v*f, 0 = 3*f - 3 - 6. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178299103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -1. Let r be 3 + 2*-3 + 4. Suppose -4*g + 11 + r = n. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**2 + y - 120*y**4 + 232*y**4 - 114*y**4 to the form z*y**4 + i*y**3 + s*y**2 + r + m*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k - 22. Let t be p(12). Suppose g = t*g + z - 19, 0 = g - z - 19. Let i = 48 - g. Solve 5*o = 3*y + o + i, 25 = -5*y + 2*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26790)\/(-4935))\/(3\/(-21))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -5*m**4\/12 + 10*m**2. What is c(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 7*j**3 - 23*j**2 - 44*j - 4. Let u(x) = -x**3 + x**2 + 8. Let k(w) = -3*g(w) - 24*u(w). Factor k(d).\nAnswer: 3*(d - 1)*(d + 6)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o**3 + o**3 + 3 - 9*o + 3 + 0 - 7*o**2. Let u be i(-5). Let j(f) = -f**2 + f - 1. Let b(z) = 3*z**2 - 2*z + 1. What is u*b(c) + j(c)?\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 4:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (14 + (7 - 32 - -17) - -20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h - 4*h + 24*h - 13*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 113\/165 + -1\/55. Find k, given that 0 - s*k**3 + 4\/3*k**4 - 2\/3*k**5 + 0*k**2 + 0*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, w: 2}. Give prob of sequence wwq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1060 divide 35595860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -392  (b) 0.1  (c) 1  (d) -21\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25887\/13730 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 27, -3, -5, -238, -0.7, 3\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 156 + -217. Let b = a - -81. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 3*u - 8. Suppose -2*b + 90 = b. Suppose 7*i = 2*i + b. Is z(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9887*b**2 + 80 - 25*b**3 + 300*b**3 - 9887*b**2 wrt b?\nAnswer: 825*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -629\/3 - -210. Let l = -7.79 + -0.21. Which is the biggest value?  (a) l  (b) z  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.2 + 3.200688. What is a rounded to 5 decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2\/5 + 260532*p\/5 - 781569\/5.\nAnswer: -3*(p - 86841)*(p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -600357500 rounded to the nearest one million?\nAnswer: -600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2244 and 1630572.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1959521 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuueuuuuuuhuu. Give prob of sequence uueu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-7)\/o**(2\/49))**(35\/6) assuming o is positive.\nAnswer: o**(-575\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6927868 minus 992?\nAnswer: -991.3072132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -3*o - 9*o. Put -4, -10, -5, o in increasing order.\nAnswer: -10, -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -376 + 376. Let f(u) be the first derivative of 3\/2*u**2 + t*u + 3. Let x(b) = -6*b. What is f(x(r))?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*m + 19*m + 53*m - 2054 = 388 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -85.8+-149\nAnswer: -234.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 324983 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/36 and 29\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -683, -684, -685?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1818 divide 283882518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -2\/3*a**4 - 2*a**2 + 3*a + 0 - 5\/3*a**3 - 1\/10*a**5. Factor u(z).\nAnswer: -2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/35 + (1 - (-1279)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3185507, -3185506, -3185505, -3185504, -3185503?\nAnswer: -3185502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -197 + 1382\/7. Let s be (-3 + -3 + 10)\/18. Let m = -5.114 + 0.114. What is the third biggest value in s, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 50 - (-2 - (2 - 3)). Let v = t + -32. Suppose -r + v = -6. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3)\/r)\/r*r**26*r**(4\/13)\/(r*r**(-9\/4)) assuming r is positive.\nAnswer: r**(1173\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1504 + -1\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 + 19. Let c = -9 - p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2911 - -2910.893. What is the nearest to 2 in m, -2, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -83127 and 1823229.\nAnswer: 1740102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-96)\/32)\/(42\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 13, z: 6}. What is prob of picking 4 k?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1208*z - 68780. Determine x(-57).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8431907\/659 + 12795. Is t smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of u**3\/2 - u**2 + 23*u - 3. Let o(d) = 7*d - 5. Let r(k) = -6*k + 2. Let p be r(1). Calculate p*o(s) + 9*q(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167889?\nAnswer: 3, 191, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-5)*145\/87 - (-1846)\/71?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180027047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 136*q - q**2 - 135*q + 26 + 3*q**2 in the form y*q**2 + g*q + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 0.2, -0.3, 7, -0.05?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -51  (b) -4  (c) -0.5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 146882412*c**4 + 4*c**2 - 396613*c + 15?\nAnswer: 3525177888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 0.2, 8, -4\/9, 52?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1608934 and -97.\nAnswer: -1609031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 36 = -4. Let d(c) = 3*c**2 + 2*c + 27. Let v be d(k). Suppose 5*l - 660 + v = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q + 3. Let p be z(0). Let k be (2 - -3)*(-8)\/10. Put k, 4, p in ascending order.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131442 divided by 6?\nAnswer: -21907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + 0 + 159\/(-60) and 0 - (177\/(-72) + 0)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i. Let u(n) = -n**2 - n + 1. Let b(c) = 10*c**2 + 9*c - 9. Let f(s) = -4*b(s) - 36*u(s). Determine y(f(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2807.92474 rounded to zero dps?\nAnswer: -2808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 325989734 by -381721.\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 6 - 22849\/(-1241). Let r = -439\/34 + j. Factor -r*g**3 - 1\/4*g**4 + 1\/4*g**2 + 0 + 1\/2*g.\nAnswer: -g*(g - 1)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -3\/2  (b) -35083  (c) 1\/3  (d) 1  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: 1*-0.0126\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00923 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 281 divide 137746139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -311 + 650. Let x = z - 1689\/5. Are -0.3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15470 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/2)\/((-7)\/336*-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 1926 = -v, -4*h - 5*v = -7*v - 1538. Let x = 828 + -821. What is the greatest common factor of h and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4542, 4575, 4628, 4701, 4794?\nAnswer: 4907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5*o. Let g(i) = 6*i - 1. Let r(b) = -29*b + 5. Let h(p) = -9*g(p) - 2*r(p). Give h(t(u)).\nAnswer: 20*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1525999, -3051996, -4577993, -6103990, -7629987?\n\"Answer: -1525997*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 20, 2*n - 14 = -2*q - 3*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -85217, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8296456?\nAnswer: 2, 7, 148151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**5 - 41*b**4 + 640*b**3 - 4600*b**2 + 14000*b - 10000 = 0. What is b?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t + 11. Let h be a(-6). Let y = h + 16. Suppose 0 = -y*v + 4*c - 9*c + 40, 2*c = -2*v + 20. Solve 3*o = v*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 9 - 8 - -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -113 in -21, -10, -0.3, -1\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48173\/8 + -6022. What is the closest to -23\/2 in 5, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 r when three letters picked without replacement from vxvvwjwvr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from nfeoiokn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 614*n**2 + 380*n**2 - n + 350*n**2 to l*n + d*n**2 + h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, m: 2, d: 2}. Give prob of sequence dzz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**4\/7 - 26*o**3\/7 - 6*o**2\/7 + 74*o\/7 + 52\/7 = 0. Calculate o.\nAnswer: -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -53203, -119611, -186019, -252427, -318835?\n\"Answer: -66408*x + 13205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -167, -467, -921, -1547?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3608*j - 616. Is 26 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-15)\/(-5))\/(-4*(-6)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 5) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 9:05 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -207, 22, 4, -12 in decreasing order.\nAnswer: 22, 4, 2, -2, -12, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7649 + 7649 + 2*h - h**2. Let x be p(2). Solve 5 = -5*s - x*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (4 + 2) - (-19 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(r + 0*r - 2*r) + 180*r + 85*r - 138*r.\nAnswer: 129*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -0*l - 4*l. Factor l*d + 3*d**3 + 2*d**3 + 6*d**2 + 4*d**2 + 5*d.\nAnswer: 5*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2806929 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95 divided by -2565.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 9:56 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3750630*q**3*r**2 + 2*q**2*r**2 + 7*q**2*r + q*r**2 + 294*q + r**2 wrt q?\nAnswer: 22503780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 = 1. Suppose -3*m - 2*p = -n - 10, -m - 4*p = -17. Let f = 7777.2 - 7777. Which is the closest to m?  (a) -3\/4  (b) 3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177431995.\nAnswer: 5, 13, 2729723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -528 at least as big as -528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26981 less than 26981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 2. Let w be z(0). Let a(c) = 4*c**2 + c - 1. Does 10 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64646284 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: How many minutes are there between 7:46 AM and 8:53 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-31) + (-66)\/(-1023). Is c not equal to 9\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/158 and -73\/426284?\nAnswer: 426284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 10 = -4*f. Let z(v) = 4*v**2 - 12*v + 4. Let u(m) = -m**2 + m + 1. Let g(x) = -5*u(x) - z(x). What is g(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.15193 litres in millilitres?\nAnswer: 45151.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 56*s**3 + 23*s**2 - 12*s - 34. Give l(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/179968 and -75\/2356?\nAnswer: 5579008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 290 - 114. Suppose -4*s + 8 = 5*w - j, 0 = 2*w + 4*s - 76. Is 4\/w - 2\/(-9)*31 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i. Let q(s) = -s - 4. Let r(w) = -2*a(w) + q(w). Calculate r(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 89522 - 1147*q - 89522 in the form l + r*q and give r.\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*d + 116 - 221 + 52*d - 1862*d**2 + 105.\nAnswer: -1862*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + -23 + 74 - 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 2. Let i(q) = -q**2 - 8*q + 10. Let a be i(-7). Let w = a + -16. What is the closest to -1 in 5, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 42 + -165\/4. Let p be ((-8)\/56)\/((-4)\/8). Which is the biggest value?  (a) p  (b) 5\/8  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1896 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 472*n + 161 - 476 = 629 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4 = -o + 13, o - 5*j = -1. Let x = -21 + 28. Calculate the remainder when 2\/x - 618\/(-42) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -1\/2  (b) 2  (c) -16  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41567 is divided by 41477.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express b**3 + 3 + 0 - 3 - 2 + b**2 in the form l*b**2 + n*b + u + d*b**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 4392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -167, -116, -5, 16 in decreasing order.\nAnswer: 16, -5, -116, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h + h - 3*h - 7 + h + 7 + (-1 + 5 - 3)*(-2*h - 3 + 3) + h - 2*h + 0*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -230381 - -115190367\/500. Let c be 8\/(-20) - 96\/(-250). Let x = c - n. Is x smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 9*x**4 + 18*x**3 - 3*x. Let z(a) = 9*a**4 + 17*a**3 + a**2 - 3*a. Let v(o) = 2*r(o) - 3*z(o). Suppose v(y) = 0. What is y?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -20*s**2 + 21. Let q be 136\/(-56) - 3\/(-7). Let x(a) = -5 + 4*a**2 + 5 - 4. Let c(d) = q*n(d) - 11*x(d). Differentiate c(t) with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -1. Let w(y) = -47*y - 4 + 7*y**2 - 6*y**2 + 48*y. What is -4*l(d) + w(d)?\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -31  (b) 51  (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(28) - sqrt(7)) + -5.\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*m - 66 = m, 0 = -i + 4*m + 22. Suppose -i + 2 = 2*y. What is the tens digit of (-106)\/y + 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Suppose -p + i*v - 6 = 0, 3*v - 2 - 4 = -5*p. Let j = p - -1. Do 0 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3*21\/14*-6. Calculate the greatest common factor of i and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) -5  (b) 25  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0)**(-3\/14))**7 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*a + 4*o = -21*a - 12, 12 = 5*a - 2*o. Solve 3*b - 2*i = 11, 0*b - i = -a*b + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6511 + 703 = -121*m. What is the lowest common multiple of m and 318?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 2*z + 172*y - 168*y, 2*z - 4*y = -20 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + 0. Let c(l) = 2*l**2 - 6*l - 24. Let m be c(-9). Suppose 310*o = 314*o - m. What is the remainder when o is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s**3 - 6*s**3 + 4*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 29088940 divided by 7272235?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b*b**25)\/b))**(-22) assuming b is positive.\nAnswer: b**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9\/25 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 17*o + 307. Calculate k(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 1872968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 667*d**4 + 3*d**2 - 6*d**3 - 668*d**4 + 9*d**3 as r*d**4 + m*d + u*d**2 + h + f*d**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5660 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -650 - -646. Let v(n) = 4*n**2 + 1. Let q be v(-1). Put p, -8, q in increasing order.\nAnswer: -8, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -38264, -38262, -38242, -38186, -38076, -37894, -37622?\n\"Answer: 3*x**3 - 9*x**2 + 8*x - 38266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-574)\/(-147) + -4)*7\/4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24104121 (base 5) to base 4.\nAnswer: -312103023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - q**2 - 1)*(-3 - 6 + 5) + (-3*q**2 - 2*q**2 + 3*q**2)*(-16 + 1 + 0).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -632 - -1147?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**3 + 341*u**2 - 339*u + 12722. Give o(113).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 6 = 14. Suppose a - 26 = -m, i*m + 88 = 5*m + 5*a. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 9:59 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 151*d**4 - 20*d**4 + 2540*d**3 + 4*d**5 + 956*d**3 + 16644*d**2 + 41*d**4 + 40320*d - 876*d**3 + 32400 = 0.\nAnswer: -15, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/4))**17\/((z\/z**(2\/15))\/(z\/z**(-1)))*z**3\/(z\/(z*z**(-6)*z*z))*z**(1\/12)\/(z*z*z\/(z*z\/((z\/(z*z**(-2\/5)))\/z)*z*z*z)) assuming z is positive.\nAnswer: z**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o - 4*o + o)*(0*o**2 + 0*o**2 + 3*o**2) - 3 - o**3 + 3 + 5*o**3 + 4*o - 4*o to the form k*o**2 + p*o**3 + h + i*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**4\/42 + 209*w**3\/7 - 248*w - 8. Solve n(p) = 0.\nAnswer: -627, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.785693 decades to millennia.\nAnswer: 0.09785693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -26*v - 215. Let r be c(-9). What is the third derivative of 9*p**2 - r*p**3 + 56 + 5*p**4 - 126 + 64 wrt p?\nAnswer: 120*p - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33139 is divided by 61?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -700366526*a**6 + 100*a**2 + 289382*a + 1.\nAnswer: -84043983120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y - 29. Let b be t(-12). Which is smaller: b or -16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -836, -26, 369 in descending order.\nAnswer: 369, -26, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*o + 1 - 1 - 4)*(-4 - o**2 + 6 + 0).\nAnswer: 7*o**3 + 4*o**2 - 14*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 3*v - 33, -r - 23 = -5*r + 5*v. Let d(s) = 7*s + 6. Let n be d(3). Let g = n - 15. Calculate the greatest common divisor of r and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 9:18 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289 = 3*f - 1349. What is the highest common divisor of 7462 and f?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from actcttaytacat?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4401970.\nAnswer: 2, 5, 23, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1630, 3261, 4880, 6481, 8058, 9605, 11116, 12585?\n\"Answer: -q**3 + 1638*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 119791 and 348691?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44 in 0.5, -0.5, -2\/9, 3, -618\/113, -4?\nAnswer: -618\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1406467987 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b1 (base 13) in base 7?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 492 - 408. Let m = -78 + l. Solve m = -5*i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 10*p**2 - 4*p - 42. Let r(y) = -y**2 + y - 1. Let v(i) = n(i) + 3*r(i). What are the prime factors of v(7)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 48 = -0*c. Let k = 25 - c. Suppose 4 = -r, s - k = -0*s - r. Solve -2*m + 5 - s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -224*u + 136. Let b be q(5). Let c = b - -1406. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-50)\/4)*(-20)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 1)*(0*i**3 + 0*i**3 - 2*i**3).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/2, 0.4, 0.268?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = -4. Let v = 6 + s. Is 2*v\/(-4) + 3 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 + 3*g - 3*g + (-996 + 65*g**2 + 996)*(161 - 14*g - 161) in the form k + x*g + o*g**3 + t*g**2 and give o.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 9*p - 59. What is i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -1211?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 54*j - 361. What is b(8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-6)\/(-2)*(-2 + -10). Suppose -4*i + 2*i = 3*m - s, 2*m - 17 = i. What is the remainder when 36 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74843, 300316, 676105, 1202210, 1878631, 2705368, 3682421?\nAnswer: 4809790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64 and 547088.\nAnswer: 2188352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 623, -19, -4.\nAnswer: -19, -4, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (23730\/80)\/(-7)*(-4)\/(-168) and 87\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(33\/(21 + -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a + 4*k - 50, 48 = 4*a + 9*k + 19 - 40 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3260045 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.710095 - 0.71. What is h rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -9. Find the first derivative of 19 + 17 + g**p - 33 wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 100237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 3:21 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -19*c**2 - 3*c - 42. Let b(v) = -6*v**2 - v - 14. Calculate 7*b(n) - 2*p(n).\nAnswer: -4*n**2 - n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-11)\/(-11)*(-1 - -196). Suppose -4*v + 195 = -v - 4*o, j = 3*v + 3*o. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/39)\/g)\/g**3*g**(-3)*g*g**(-9) assuming g is positive.\nAnswer: g**(-583\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37430*k*l**4 + 2*k*l**2 + k*l - 4*k - 517 wrt l.\nAnswer: -898320*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + m - 1. Let l(t) = -6*t**2 - t + 3. Let x(q) = 5*b(q) + l(q). Let s(j) = -77*j - 21. Let w be s(3). Let z be (3\/7 - (-234)\/w)*-6. Give x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 2*v = 2, 72349*v + 23 = -2*i + 72352*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -313, -189, -65, 59, 183, 307?\n\"Answer: 124*y - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 3*p + 35 + 4*p**3 + 43 - 2*p**3.\nAnswer: 2*p**3 - 3*p + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 42788190 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*x - 5*x + 864. Does 3 divide (-65)\/(((-30)\/x)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41.2 + -41. Suppose -2*d = d. Let f be (-1 - d) + (-7)\/(-5). What is the third biggest value in f, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by 45\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 6 = -2*r, k = -2*r + 3*r - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 15*j**3 + 3*j**2 + 10*j + 35. Let t be x(-3). Let v = 592 - t. What are the prime factors of v?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + 2*p + 9. What is the least common multiple of 3 and c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/7  (b) -3  (c) -11\/7  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/(-140)*-4*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10448292 divided by 2.\nAnswer: -5224146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3465*g**3 - 18*g**2 + 8*g + 16. Let n(x) = 11*x**2 + 9*x - 8. Let o be n(1). Let t be a(o). Round t to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -8 - -3) + -13 - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d - 21. Let x(m) = 3. Let i(u) = -3*a(u) - 21*x(u). Let c(r) = -4*r**2. Give c(i(l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -0*p - 1, -y - 5*p = -6. Factor -8*r + y - 10 - 4*r - 3*r**2.\nAnswer: -3*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5124 and 24?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - j + 55. Factor 19*a + 8*a**2 + j*a - 5*a**3 + 7*a**2 - 10*a.\nAnswer: -5*a*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 180*i + 2. Let n(t) = 103*t. Let o(m) = -7*n(m) + 4*s(m). Let f be 0\/(1 + -1 - 1). What is o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 2. Let t = 179\/35 + -33\/7. Which is the nearest to t?  (a) -1  (b) -0.2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -168, 4, 1, -4, -2, 7, 138.\nAnswer: -168, -4, -2, 1, 4, 7, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -111*q + 1. Let n(z) be the first derivative of -2*z**3\/3 + 1450. Give v(n(p)).\nAnswer: 222*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**0)**(-30)\/(r**2*r**(2\/33)))**(-13\/8) assuming r is positive.\nAnswer: r**(221\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i = -47*i + 7*i - 348. Which is the fourth smallest value?  (a) 6.66  (b) i  (c) 0.2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3*k, 5*t = 3*k + 640. Let x = -87 + t. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1303214222 (base 5) to base 8\nAnswer: 14101460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m + 10. Let f be j(-5). Suppose -46 = -2*k + 5*o, -o - o = f. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -263\/744 - -5\/248. Find the common denominator of 68\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1*sqrt(243))**2 + 0 - (2*sqrt(243) + 4 + -5).\nAnswer: 54*sqrt(3) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16644 and 4438932?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 3*l - 3637, -l + 2427 = l + 5*b. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29481, 65977, 102475, 138975, 175477, 211981?\nAnswer: 248487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**3 - j**3 + j**4 + (0*j + j**3 + 0*j)*(j + 4 - 4) - 2*j**4 + 5*j**4 - 2*j**4 + 5*j**3 + 2*j**4 - 5*j**3 + (-1 - 2 + 4)*(0*j**4 + 2*j**4 - j**4).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 8. Let k = c - -2. Let h be -2*((-2)\/14)\/1. What is the third biggest value in h, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -94 - -103. Suppose 4*h - x = 40, h = 2*x - 5*x + 10. Let o = t - h. Let j(i) = -2*i**3 - i**2 - i - 1. Give j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/15, -1.15, 4, 2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, w: 5, x: 1, b: 2, l: 6}. Give prob of picking 1 b and 1 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.075  (b) -495  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 371275 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -16410904?\nAnswer: 3\/16410904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 7*n + 10 = -3*m, 38 = -3*m - 2*n. Let t(h) = -h**3 - 10*h**2 + 14. What is t(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.14 less than 2?\nAnswer: 21.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -32662, -32653, -32632, -32593, -32530, -32437, -32308, -32137?\n\"Answer: g**3 + 2*g - 32665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36791 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/6 - (-2)\/3. Find the third derivative of 89 - 30*f**2 - 37*f - 89 + 28*f**r - 280*f**5 wrt f.\nAnswer: -16800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -74\/21 and (-4)\/15*270\/(-756).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**5 - 1788*l**4 + 4*l**3 - 35493*l**2 wrt l?\nAnswer: -60*l**2 - 42912*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36112\/11 + 3280. Calculate the common denominator of k and ((-285)\/(-50) + -5)\/(4\/5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(2*12\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of (-1 - 51393\/(-15)) + 70\/(-350)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -461, 0, -3, -20, -6, 3, 4 in descending order.\nAnswer: 4, 3, 0, -3, -6, -20, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 13*f + 14. Let l be o(14). Let m = 27 - l. What is the remainder when 9 is divided by ((-7 - m)\/1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82 (base 11) to base 3.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/(-5))\/(1 - 0). Let n = -183\/8 + 23. Which is the second biggest value?  (a) w  (b) 2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o - 23*o**3 + o**3 - 6*o**3 - 3*o**2 - 4. Let b(m) = -27*m**3 - 2*m**2 + m - 3. Let n(j) = 3*b(j) - 2*f(j). List the prime factors of n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d\/(d*d*d*d\/(d**(-2\/5)\/d)*d*d)))**(6\/31)\/((d\/(((d**(1\/4)\/d)\/d)\/d))\/(d\/(d*d**25))) assuming d is positive.\nAnswer: d**(-16817\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1022, -1043, -1064, -1085?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 6, -0.2, -5, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s + 0*s - 105 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**5\/60 + 5*x**3\/6 + x**2. Let q be r(0). Put -5, -1\/2, q in descending order.\nAnswer: q, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 481382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -5\/3*a**3 - a + 0 + 1\/2*a**2. Suppose 3*w + 5*v = 9*v + 5, 6 = -3*v. What is q(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -853545, -1707084, -2560623?\nAnswer: -3414162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/15)\/(z**5*z*z*z)*((z*z**(-1\/3)*z)\/z)**(-22))**2 assuming z is positive.\nAnswer: z**(-676\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*x + 32 = -15*x. Solve 0 = x*p - 9*p, 3*q = -3*p + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 882 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30.68 - -0.32. Let v = 2405 - 2373.94. Let y = v - j. Put y, 0, -4 in decreasing order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 26. Suppose 3*r = y, 2*g = -4*r - r + 16. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2020 divided by 404.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 696 and 14904?\nAnswer: 432216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*s**2 - 18*s**2 + 2*s**3 - 16*s**2 - 4*s**3 + 331 as n*s**2 + r*s**3 + d*s + b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3)\/(-15) - 1392\/(-990) and -38\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1701*s**6*y**3 + 13*s**6*y - 8*s**2*y - 7*y**3 + 92*y**2 wrt s?\nAnswer: 204120*s**3*y**3 + 1560*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 79.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2*d*d\/(d\/(d\/(d*d\/d**(-2))*d)*d)*d\/(d\/d**0)*d*d*d\/((d*d*d**1)\/d))\/((d\/((d\/(d\/(d*d**7)))\/d))\/d**3)**(-1\/70) assuming d is positive.\nAnswer: d**(61\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, l: 1, q: 2}. Give prob of picking 1 q and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -122*o + 121*o - 62*o**3 - 2 + 3*o**2 + 2*o**2 - o**4 - 4*o**2 + 0 to x*o**3 + p*o + a + y*o**4 + t*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 42 - 131*q**4 + 10*q + 51 - 10*q wrt q?\nAnswer: -524*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -911309 + 1632909. Round r to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 + 5*h + 4. Let v(p) = -p + 5. Let f be v(-4). Let l = 5 - f. What is the tens digit of b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence njnu when four letters picked without replacement from {u: 6, n: 2, j: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 3*b. Let y = b + 7. What is the greatest common divisor of y and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from geerrggrgr. Give prob of picking 1 g and 1 r.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.759534 months to decades.\nAnswer: 0.23132945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -99 (base 15) to base 13.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/3)*y*y*y*y)\/y)\/(y*y**(-9\/4)\/y))**(-10\/3) assuming y is positive.\nAnswer: y**(-335\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72451 is divided by 18106.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14.8 + 15. Let u = n + -0.6. Sort 2\/3, 0, u in descending order.\nAnswer: 2\/3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 2)*(9*n + 10*n - 22*n) - n + 0 + 0 + (-13*n + n - 12*n)*(-1 + 0 + 2).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 868 and 168427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2)*(-5 + 1 + 3)*(-1854*x - 44*x**2 + 1852*x + 259*x**2 + 3*x**4) to k*x**3 + n*x**4 + r*x + p*x**2 + a and give p.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-0.16497\nAnswer: -0.016497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/3 + -1 - 1326\/(-156)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83441*k**2 - 7 + 143*k - 14670*k**2 - 142*k.\nAnswer: -98111*k**2 + k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -31 - -15364245?\nAnswer: 15364214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2462.939 decades?\nAnswer: 295552.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**2 + 9699*c - 19388. Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3979975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.61 take away -3734.373009?\nAnswer: 3742.983009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 195 and 10515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2155003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -116 - -337. Let i = d + -220. Which is the nearest to 0.2?  (a) -3  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1129*r**4 + 81*r**3 + 526*r**2 + 38 wrt r?\nAnswer: 27096*r + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - 4. Is w\/45*2454\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29409269.\nAnswer: 17, 1729957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 100221 divided by -33407?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 5  (c) -4.1  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13964 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.15 - 0.05. Suppose -f = f - 4*u - 18, f = -u - 3. What is the third smallest value in z, -2\/19, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 6) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 11*u. Let g(q) = -9*q - 15. Let t(b) = 12*b + 15. Let f(c) = -2*g(c) - 3*t(c). Let p(h) = h + 1. Let v(j) = -f(j) - 15*p(j). Calculate v(z(l)).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 14.4089\nAnswer: -0.576356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1745 by 33.\nAnswer: -1745\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 18 = -n + 3*r, 2*r - 10 = -2*n. Suppose -n*x + 8 = 2. Suppose 0 = -x*f, -2*i + 452 = 2*i - 5*f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-364)\/(-910) - (-7)\/(-1680)*92\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 184\/414 - 338\/(-9) - 6. Solve -t*m + 31*m = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 - 3*c - 2. Let y(t) = -t + 12. Let g be y(8). Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 80*d**2 + 72*d**2 - 2*d - 154*d**2 in the form r*d**2 + g*d + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*d - 5*d - 2*d + (-2 + 3 - 3)*(0*d + 2*d - d) - 3 - 11*d - 11*d + 19*d.\nAnswer: -7*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13749 - -13751. Let u be (2\/40)\/(8\/(-10)). Which is the third smallest value?  (a) o  (b) -5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*8\/10 + -2. What is the nearest to z in -0.4, 42, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0199887 centuries in years?\nAnswer: 1.99887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 1052*w**2 - 7362*w - 15. Determine x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*i - 43*i - 62*i.\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -533925 divided by -3955.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1565393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - 13*b**2 + 15*b + 15. Let x = 178 - 192. Let m be q(x). Sort -7, 5, m.\nAnswer: -7, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 + d**2 - 5*d**2 + (-d**2 - 2*d**2 + 5*d**2)*(2 + 0 + 0))*(d - 2*d + 2*d)*(20 - 26 + 14)*(4 - 4 + 4) + 4*d**3 - 4*d**3 + 3*d**3.\nAnswer: 67*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0352*42.\nAnswer: 1.4784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3436*m**3 + 1. Let r be f(-1). Find the second derivative of -r + 25*g + 3437 - 10*g**5 wrt g.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/14*(-24)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12721032637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -5*d**4\/12 + 5*d. Let o(z) = -z. What is o(x(l))?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1801317 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -5 - 5*z + 2*z - 2*z - z. List the prime factors of i(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 206 + -76. Suppose 14 = t - 30. What is the remainder when m is divided by t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 times -3651\nAnswer: 25557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*k**2 + 153*k**2 + 9108 - 9108 - 287*k**3.\nAnswer: -287*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209*w - 4 = 205*w. Let o be (5\/18)\/(w\/(-4)). Let h be 26\/7 + (-8)\/(-28). Sort o, -2, h in increasing order.\nAnswer: -2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -299 - -559. Suppose 0*c + 5*n + l = 2*c, -650 = -5*c + 2*n. What is the greatest common factor of c and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1649 times 5?\nAnswer: 8245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 28208*y - 253859. What is n(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/(-2))\/((-2)\/(0 + -4)). Let b = 0.2 - -0.3. Let c = b - 0. What is the smallest value in c, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o - 31. Suppose 2*d + 0*d + 4 = 0, 3*c = -5*d - 40. Give t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 690044285.\nAnswer: 5, 7, 19715551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68966.\nAnswer: 2, 34483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -383, -470, -557, -644, -731, -818?\n\"Answer: -87*q - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 4:26 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n + 69*n - 58 = 24*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3096 and 12040.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 13*q**2 + 26*q - 32. Let d be s(-15). Suppose -2*l + 22 = -x, 3*l - d = x - 2*x. Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*m + m**2 + 44*m - 2*m**2.\nAnswer: -m**2 + 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 1:08 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r - 9. Calculate u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 576 = -y + 7*y. Let o = 99 - y. Let w be 0\/((-9)\/(-3)) - 0. Solve -g + 17 = -x + 4*x, w = -x + 4*g - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 8) + (-9 + 9 - -8 - (66 - -2)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 920136.1 decades in years?\nAnswer: 9201361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 + -17. What is the remainder when (-128)\/(-20) + -6 - 1032\/(-20) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/13)*b*b*b*b*b**6*(b**0)**(-3) assuming b is positive.\nAnswer: b**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 2*r - 3, 3 = -4*a - 1. Let q(h) = 0*h**2 + 3 - 9*h**3 - 2 + h**2 + 2*h. What is the units digit of q(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 44. Let g be (-1)\/(b + (-3)\/(126\/129)). What is the highest common divisor of 98 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -509 - 496 - 509 + 2024 + 98*m - 510.\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 80*y + 64. Let u(t) = -t - 1. Let m(v) = 3*k(v) + 192*u(v). Let i(q) = -2*q. Calculate i(m(x)).\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7340885.\nAnswer: 5, 239, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 45 - 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -4*o + 24, -31 = 762*o - 763*o - 5*y. Solve 0 = -26*d + 41 + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8625 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {y: 7, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13  (b) -61\/2  (c) -12\/509\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -124, -122, -122, -124, -128, -134?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 4*v + 5*a, -122*a + 48 = 4*v - 126*a for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-18)\/3)*((-7128)\/(-2))\/(-36)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 64, 53, 48, 55, 80?\n\"Answer: z**3 - 3*z**2 - 9*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j - 2. Let b be 0 + 0 - 348\/6. Let k be (1 + 0)\/(((-408)\/(-756))\/(-34)). Let z = k - b. What is s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 277521, 1110046, 2497587, 4440144?\nAnswer: 6937717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, 46, -113, -494, -1175, -2234, -3749?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mymmmmmmyymyyymmymm. Give prob of sequence ymmm.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/19935 and -59\/15505.\nAnswer: 139545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8168070 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddtttdtdttddd. What is prob of sequence tdt?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -23051*y**2 + 814*y. Let t(x) = 226*x**2 - 8*x. What is 4*k(o) + 407*t(o)?\nAnswer: -222*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 197 + 67. Let q be 2 - 3 - -37*6\/d. Is q > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11560719 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/90 and -61\/225010.\nAnswer: 2025090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 618944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -3*r**2\/8 + 2679*r\/4 + 5361\/8 = 0?\nAnswer: -1, 1787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(3) + 0 + (sqrt(3) - (sqrt(3) + 4*(0 + sqrt(3) + sqrt(3))))**2.\nAnswer: sqrt(3) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1356 divided by -339?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 6*g - 15)*(g - 3*g + 6*g).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2941*d**2 - 28*d - 105. Let a be f(-7). Round a to the nearest 1000.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w = -34. Suppose 7*a + w = 3*c + 2*a, 2*c - a = 16. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -18*6\/(-9) + -839712. Round x to the nearest 10000.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 105 and 25?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 11*u. Let j = 9 - 5. Suppose u = -3*k + 3*q + 25 + 2, 41 = 5*k - j*q. Solve k*t - t + 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-2*sqrt(384) + (sqrt(384)*-1 - sqrt(384))*-3 + sqrt(384))\/(-5*(sqrt(8) - (sqrt(8) + sqrt(200))) - (sqrt(8) + (sqrt(48)\/sqrt(6)*-4 - sqrt(8)))).\nAnswer: -4*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14607 - 14607.00000865. What is t rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -702390*h**2 + 5269432*h**2 + 1877354*h**2.\nAnswer: 6444396*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + s**2 + 37. List the prime factors of n(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21\/3 + 1 - 2. Suppose -147 = -x - w*x. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 638300?\nAnswer: 2, 5, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -91 divided by 1?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, p: 1, v: 3, c: 2, z: 2, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-6))\/(26\/(-39)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/21 + (-13)\/21. Let j = 0.23 + 0.97. Let p = j - 0.7. Which is the second smallest value?  (a) n  (b) p  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 60*d**3 + 1132*d**2 + 5195*d + 7. Determine s(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 1523)\/(4 + -2). Suppose 0*m + m - 3 = 0, p = 4*j - m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 798094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o\/o**(3\/10)*o)\/o*o))\/o)\/o**(5\/6)*(o*(o\/(o**(2\/7)\/o))\/o*o)**(27\/4) assuming o is positive.\nAnswer: o**(6631\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + (8 - 5) - 8) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19373 - -19369. Put 0.4, 0.1, d, -3\/7, -1 in decreasing order.\nAnswer: 0.4, 0.1, -3\/7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 68*c**2 + 8 - 33*c**2 - 5*c - 32*c**2 as y*c + k*c**2 + w and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2291*j - 5106 - 1822 = 2724*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 + -33.9. Let w = -2.58 + 0.91. Let r = x - w. What is r rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 6*v**2. Let m(x) = -2. Let u(a) = 3*a + 6. Let f(q) = -3*m(q) - u(q). Determine f(h(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 354 - 352. Suppose 9*f = b*p + 13*f - 16, -32 = -p + 4*f. What is the greatest common factor of p and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-153)\/(-12))\/(6678\/3816)\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1196954 is divided by 79796?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 15 + 4 = -3*g, l = -1. Calculate the least common multiple of g and 59.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 860514, 860513, 860512?\nAnswer: 860511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0525554257 rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1197, -1194, -1189, -1182, -1173?\n\"Answer: v**2 - 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 5879.\nAnswer: 17637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -30\/66127139 and -48\/15587?\nAnswer: 727398529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107 = -11*z + 1427. What is the highest common divisor of z and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*s + 51*s + 292 = -155*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 + 310 - 111 = 368*c - 478 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 150 and 5925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 4*d + 10, 0 = -6*d + 11*d + 5*y + 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 159*q + 213\/4 + 51*q**3 + 315\/2*q**2 - 3\/4*q**4.\nAnswer: -3*(q - 71)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19284 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -6603515 to the nearest 10000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j**3*l - 1388*j**2*l - 1518*j**2 - j*l - j - 4*l - 10364 wrt j.\nAnswer: -6*j*l - 2776*l - 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((450\/40)\/(-5))\/((-3)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2584*j**2 - 4938*j - 688*j + 2586*j**2 to the form c*j**2 + s*j + u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-10)*4*2*(-20)\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 16*r - 42 = -20*r, 0 = -4*z + 5*r - 48 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, -5, 1, -2 in descending order.\nAnswer: 3, 1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - g = 0. Suppose 9 = 3*u - g*u. Suppose -4*o + 2*a = -o + 4, 4*o = -3*a + 23. Solve -u*h + 20 = 2*v, v + o*h = -h + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 7:41 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 975 divide 2588831890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164*i**2 - 7 + 7 + 432*i**2 + 1247*i**2.\nAnswer: 1843*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 10*i**2 + 17*i + 7. Let g be d(-8). Which is the second smallest value?  (a) g  (b) 3  (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/((-8)\/(-16)*20))\/((-5)\/(-175)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 0*g = 0. Solve g*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + 5. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 + -12. Suppose 10 = w*b - 6, -b - 8 = 4*t. Let s be -15*1\/t*1. Let f(d) = -2*d + 4. Determine f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8 = -2*k, -3*k - 10 = -5*r + k. Suppose -7*u + 19 = -r*u - 3*v, 4*u + 5*v = -7. Suppose i + 2*p = -0*p + 12, 3*p = u*i - 45. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 0 - 8) + 9299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wffnfffnlflwwcl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260064781.\nAnswer: 260064781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (0 - -3) + (3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 49452  (b) -1\/3  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71854087.\nAnswer: 17, 4226711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -4*m + 31 - 32, -4*m + 3*w = 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2790 = 39*b - 9*b. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5 = 5*i - 10, 0 = k - i + 1. Suppose 4*r + 3*w - 20 = -2*w, 2*w = k. Suppose -x - 1 + 5 = p, -5*x = -r*p. Solve 4 = p*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -112361 bigger than -390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-2) + (3 - 1) + 36. Let y be (4\/12*-1)\/((-3)\/w). Suppose -y*c + 2*c + 54 = 0. Put 5, 2, c in decreasing order.\nAnswer: c, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19583471 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-4))**(7\/4)*r**(-5)\/(r*r\/r**20) assuming r is positive.\nAnswer: r**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -1. Let l(s) = -s + 2. Let p(o) = o + 1. Let b be p(2). Let z(d) = b*n(d) - l(d). List the prime factors of z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4673 - 560640717.48?\nAnswer: -560636044.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 39 and 3244095.\nAnswer: 42173235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -1\/4, 7, 2.29985, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/3)\/(((-13)\/87)\/(-13)). Suppose -i*v - 2 = -28*v. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of r**4\/12 - r**2 + 88. Let j(l) = -84*l. Calculate j(a(i)).\nAnswer: -168*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 5*s. Let m be g(-5). Let j(t) = -t**3 - 2*t**2 + t - 3. Let f be j(-3). Solve 9 = -f*q - m*q - 3*d, d = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -218 or -658\/3?\nAnswer: -658\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 i, and 1 m when four letters picked without replacement from {m: 1, n: 3, y: 1, i: 3, u: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 + 106. Let p = -43 + d. Suppose 0 = -5*a - 4*v + 586, p*v + v - 468 = -4*a. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(5) - -1*sqrt(5)) + 1 - (3*(sqrt(5) + 0) - (sqrt(605) + 1 + sqrt(605))))**2.\nAnswer: 126*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 28*x + 104. Is j(5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**3 + 3*j**2. Calculate g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8227 + 15995. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 33*k**3 - 2*k - 1. Let z be j(-1). Let w = z + 351\/10. What is the common denominator of w and ((6\/(-63))\/(5\/(-15)))\/1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -10 - 2*n + 1\/4*n**4 + 0*n**3 + 0*n**2. Let u(i) = 196*i. Calculate u(o(j)).\nAnswer: 588*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -3*u - 15. Suppose -u*o + 16 = -29. Suppose 5*i - o*i + 20 = 0. What is the third smallest value in 0.1, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 45 = -3*w, 0 = -5*w + 3*w + 3*n + 5. Suppose 3*t = 4*t - w. Let a = 7 + t. Solve 4*z = -3*i + a, 5*z + 2*i + i = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 21559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657373083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3821 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, r: 8}. What is prob of sequence prpr?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5872020 and 29295?\nAnswer: 52848180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((((y**(-3)\/y)\/y)\/y*y)\/y))**(-16\/7)\/(y**(-20)\/(y**(-1\/2)\/y*y)))**35 assuming y is positive.\nAnswer: y**(245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-19 - -5) + 15*108\/(-19575)*-170\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 6*t**3 + 39*t**2 - 114*t - 700. Determine b(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 4. Suppose 4*x + 3*c + 2*c - 16 = 0, k = -2*c. What is the units digit of x\/(-6)*6\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 8113*g + 235396. Calculate d(-29).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -412, -410, -408?\n\"Answer: 2*x - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 3 + 10 + -17 + 11 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-8)*(-9 + 1). Is (-247 - 0)\/(i + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 2423603.\nAnswer: -11\/2423603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1005 is divided by 315?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 63175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l*l\/(l*l*l**(-2\/27)))*((l*l**4\/l*l)\/l)\/l*l*l**(6\/5)*l*l**(-4))**38)**14 assuming l is positive.\nAnswer: l**(152684\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -4*n + 96, 5*a + 2 = 3*n - 70. Suppose -x - x + 16 = 0. Let l be 2\/x - 126\/n. What is the closest to 0.2 in -2\/13, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-102)\/595*(-7)\/(-5)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 7*v**2 + 8*v + 10. Let f be d(-6). Let x(s) = 2*s**3 + 2*s**2 - 2. Give x(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19781633 to the power of 1\/2, to the nearest integer?\nAnswer: 4448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 11:46 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 56569933191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00754701799 to 4 dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166281280 divided by -42680.\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-7) - 5\/(-7). Suppose s = i - 2. Suppose -i*r = 5*v - 50, -65 = -2*r - 0*r + 3*v. Calculate the highest common divisor of r and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -6. Suppose 2*n + 120 = 2*o, 4*o - b*o - 85 = -5*n. Suppose 0 = -2*z - 3*z + o. What is the greatest common factor of z and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3*(sqrt(931) + 3))**2 + -3 + 4*((sqrt(931) + sqrt(931) + -2*sqrt(931) - sqrt(931)) + sqrt(931))**2 + 2.\nAnswer: -16921 - 756*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - 15296327.6\nAnswer: -15296328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1390608 and 0.55.\nAnswer: 0.07648344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l - 4. Let h be k(6). Let y(d) = -d**2 + 5*d - 1. Let j be y(3). Sort 0, j, h in decreasing order.\nAnswer: j, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - -24967.\nAnswer: 24967.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -77, -106, -139, -176?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 9. Suppose -z + 0*z = 6. Let i(s) = 2*s**2 - s - 1. Let g be i(-1). Let o be (-20)\/(-16)*(g + z). Calculate l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*3*sqrt(208) + ((sqrt(13) - sqrt(208))*-2 + sqrt(26)\/sqrt(2) + 5)**2.\nAnswer: 22*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 74*t**2 - 8*t + 4*t + 2*t - 9 - 17 + 28 to the form d*t**2 + v*t + y and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b + -86067?\nAnswer: -86075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12229603\/44421 + -18450\/67. Calculate the common denominator of 59\/91 and t.\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 753 = 3*q, 3*q + 0*q + 3*u = 747. Is 41 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 248 - 241. Solve 3*g + 4*l = -3 - f, 3*g = 5*l + 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttggtgtttttt. What is prob of picking 1 t and 2 g?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -3*o - 4*c, 0*c = 3*o - 2*c - 107. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d**3 + 7*d**2 - 7*d + 4. Let o(l) = -3*l**3 - 4*l**2 + 4*l - 2. Calculate 7*o(s) + 4*y(s).\nAnswer: 3*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n - 7*n = -2*u - 5, 5*n + 5*u + 35 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-12)*20\/5*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1148 divided by 4\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 0) + 6\/18*3. Suppose 0 = 4*w - 3*f - 64, 4*f = -4*w + n*f + 48. What is the remainder when (-41 - -42)*(1 - -48) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**2*r**3 - 18*b**2*r - b*r**3 + b*r - 18*r**3 + 21*r**2 + r - 2 wrt r.\nAnswer: 12*b**2*r - 6*b*r - 108*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (-5 - -3) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 17 - q**2 - 8 + 0*q**2 - 10 - 6*q. Calculate j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 96*a**2 - 865*a + 610. Calculate p(9).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -126 - -122. Sort k, 0, 0.11, 2 in descending order.\nAnswer: 2, 0.11, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 = 9*o - 20*o. Calculate the greatest common factor of 979 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 15 = -m. Let k = 14 + -13. Let u be (k - 0)\/(-1) + 9. Sort u, m, -1 in decreasing order.\nAnswer: u, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -19\/2  (b) 67\/4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.077 - -0.177. Which is the nearest to -2?  (a) 0.5  (b) 5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (27 - 24) + -9 + 4 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*c = 25*c + 112. Let q(p) = -c*p**2 - 42*p**2 + 35*p**2. Let z(t) = t - t**2 - t. What is q(z(h))?\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 8 = 5*b, 5*d = 3*b + 4*d + 15. Let k be -2*6\/b - -1. Calculate the highest common factor of k and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u + 3 - 3)*(501*u - 22*u**3 + 16*u**3 - 493*u) to the form w*u**3 + y + n*u**4 + i*u + l*u**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80748*i*l**3 + i*l + 29*i + 4*l + 15 wrt l?\nAnswer: -484488*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 10*i - 5. Let p be o(9). Solve -5*x + p + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 865631862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 10976465257897\nAnswer: -10976465257906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + 6 + 1 + 202 + -191.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 2. Let n(s) = 6*s**2 + 91*s - 10. Determine -n(w) + 4*z(w).\nAnswer: -2*w**2 - 91*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22355 is divided by (-3282)\/(-30) + 3 - 5 - 27\/(-45)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0692 - -82.7692. Let u = -1.3 - p. Let i = u - -84.67. What is i rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, t: 4, z: 1}. What is prob of picking 2 k and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 5 = -3*x. Let o(s) be the first derivative of -2*s - 2*s**2 + s**2 - x*s + 1. Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1270 divided by -127?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3c4 + 0?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + 14*q + 13. Suppose -5*f - 3*v + v = -17, 3*f = 2*v + 23. Suppose 6*u + f*u = -143. Give m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10571 by 2.\nAnswer: 10571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from eelseleeees.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 5*a**2 - 2*a - 7. Let t be r(-5). Solve -20 = -c - t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -65*v**3 + 246*v - 128. Differentiate l(r) wrt r.\nAnswer: -390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 - -18.7. Let s = -2.7 - l. Which is smaller: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 110*x. Let s(h) = -h**2 + 1. Let l(y) = -8*y**2. Let m(t) = 1. Let i(k) = -l(k) - 6*m(k). Let w(v) = i(v) + 6*s(v). Determine w(b(z)).\nAnswer: 24200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -1\/120*d**6 + 0 + 0*d**3 - 5*d**2 - 11\/24*d**4 + 0*d**5 + 0*d. Find the second derivative of v(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) -52  (c) -3  (d) 2  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/77 and -65\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48.27 + -2.27. Let b = 46.000000102 - x. What is b rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 150*g**2 + 620*g + 30. Determine c(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**5\/5 - 14*s**4\/5 - 54*s**3\/5 - 58*s**2\/5 - 4*s = 0. What is s?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose -9*a + 5*a = 0. Suppose a = 3*t - 64 - 47. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -2, -3, 1 in descending order.\nAnswer: 1, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(294) - (sqrt(294) - 6*-2*sqrt(294)))\/((sqrt(22)*2*-2)\/(1*sqrt(1331))).\nAnswer: 385*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/sqrt(2)*-5 - (sqrt(17) - (-1 + sqrt(17))*4)**2.\nAnswer: -169 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -573600 to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2. Let k(c) = -4*c - 23. What is -2*k(i) - 14*p(i)?\nAnswer: 8*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(5\/6)\/(q\/(q\/((q\/(q**(-5)\/q)*q)\/q))))\/(q**1)**(-2\/69) assuming q is positive.\nAnswer: q**(-847\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 8*c - 1. Let x be v(8). Let s be (x + 7\/(-3))*3. Let y = 16 + s. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9977 - -209563\/21. Find the common denominator of x and 67\/222.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 38645696, 38645695, 38645694, 38645693, 38645692, 38645691?\n\"Answer: -x + 38645697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from weykykqkjywwyk. Give prob of picking 1 w and 1 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 + (-2 - 3 - -4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1593535.\nAnswer: 5, 47, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + o + 31. Let i be a(0). Suppose 24 = -3*v + 174. Let m = v - i. Solve 5*y + m = -3*p, -y + 3*p - 1 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.0054  (b) -5  (c) 0.2  (d) 1  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/12)\/((-972)\/(-2592))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 9 = -29. Suppose l*h + 5 = -j, -6*j + j + 1 = -h. What are the prime factors of (j - (1 + 0)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6 and 0.3.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*0*(17\/17)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2006 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: Let h(q) be the third derivative of 109*q**8\/336 + 3*q**5\/2 - q**4\/24 + 6*q**2 + 4. Find the third derivative of h(r) wrt r.\nAnswer: 6540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 488 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**3\/6 + 16*t**2\/3 = 0. What is t?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -5528373.\nAnswer: 2211349.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5))**(2\/69)*(n\/n**20)\/(n*n**(-1\/8)\/n) assuming n is positive.\nAnswer: n**(-10499\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11292, 22572, 33832, 45066, 56268, 67432?\nAnswer: 78552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/3 - 1 - -61. Let m = 11 + w. Let q(j) = -j + 10. What is the remainder when m is divided by q(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert aa4a1b (base 12) to base 8.\nAnswer: 12241267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 12:33 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1675, 6667, 14995, 26665, 41683, 60055, 81787?\nAnswer: 106885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 + 15*q - 66. Let j(s) = s**2 + 7*s - 34. Let l(w) = -3*a(w) + 5*j(w). Let t be l(-12). Solve 0*c = 2*h + 5*c, 4*h + t*c = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -474 - -495.7. Let f = 12 - b. Round f to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*((f*(f*f*(f**(-2)\/f)\/f)\/f*f)\/f)\/f)**(-42)\/((f*f\/f**(-7))\/(f**(-2)\/f)) assuming f is positive.\nAnswer: f**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5981, 5961, 5941, 5921?\n\"Answer: -20*t + 6001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26 * -81055.\nAnswer: -2107430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - v**2 + 385*v + 5 + 5 + 89*v to the form f + x*v + w*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 29630 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*r - 501 = 46*r + 945 + 1679 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u**3 - 7*u**2 - u + 7. Let q(d) = 11*d**3 - 21*d**2 - 3*d + 22. Let k(n) = -8*i(n) + 3*q(n). Let c be k(7). Solve -5 + c = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 404272*v**2 - 202142*v**2 - 202136*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 78.94 - 77. Let o = -0.08 + z. Round o to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03479 and -0.03.\nAnswer: -0.0010437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -1 + c - 2 - 3 - 2*c. Let i be d(-3). Let j be ((-248)\/10)\/(i\/(-750)). What is j rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g + 34*g**2 - 33*g**2 + 4*g as a*g + r*g**2 + n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*(-28)\/8)\/(2\/4). Suppose 2*r = c*r - 65. Solve -3*v - 5 = -4*h, 2 = -5*v - 3*h + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 12 = 5. Let t(k) = k**2 - 2. Let w be t(-3). Let u = w - 12. Sort 4, u, x.\nAnswer: u, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -52*t + 60*t + 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = z - 973, 0*a + a - 4*z = -206. Find the common denominator of (a\/33)\/(16\/(-12)) and 194\/(-36) + 2\/(-6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60948015 to the nearest integer?\nAnswer: 7807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-4 + 9 - -1) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 3 = 2*u - 2*y, -10 = -5*u + y. Let k = 9\/7 - u. Let q = -3.03 + 0.03. Which is the nearest to 1?  (a) k  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11613*a**4*n**3 + 3*a**3*n*t + a**2*n**3 + 40*a**2*n**2 - 135*n*t wrt a.\nAnswer: -278712*a*n**3 + 18*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6223 - 4357. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -4*n - 4*g, 62 + 23 = 4*n + 5*g. What is the greatest common divisor of 1015 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 12, z: 1, q: 7}. Give prob of sequence eqe.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/15 + 32\/6. Suppose -5*w = -3*w + y. Let k(o) = -o**3 - 2*o + o**2 - 3*o**2 - 2*o**2. Calculate k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*q + 4*q + q - 2*q + (2*q + q - 2*q)*(1 + 3 - 2).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -k**5\/20 - k**3\/3 + 3*k**2\/2 + 3*k - 19. Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 189.00194 + -189. What is j rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - j - 2, -d - 8 = -2*j + 6*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30751.74429 + -527.45881. Let j = b + 31281. Let z = j - 1.8. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4422 divided by 737\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*f + 74*f + 560 = 0. Sort -1, f, -232 in decreasing order.\nAnswer: -1, f, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2113757618?\nAnswer: 2, 7, 150982687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3421785121281 - 170.\nAnswer: -3421785121451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -162 times 5?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 0 + 2)*(g**2 + 104*g**2 + g**2) + (1 + 3 - 3)*(g + 2 - 2)*(4*g - 3*g + g) as a*g + t + i*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((((sqrt(1700) - (5 + (1 + sqrt(1700) - sqrt(1700))))*-5)**2 - (sqrt(1700) + (sqrt(1700) - 4*(3 + sqrt(1700)))**2 + -1)) + -4).\nAnswer: -22380*sqrt(17) + 167718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.13 and -0.83.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266*u - 75*u**4 - 420*u**2 - 315*u**3 + 82 - 26*u + 408 + 86 - 6*u**5 = 0. Calculate u.\nAnswer: -4, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204163470829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 45\/(-10) + 4 + (-4)\/(-10). Let j = -3.4 + -1.55. Let v = j + -0.05. Which is the biggest value?  (a) v  (b) 0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4484 is divided by 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i - 4 = 0. Let g be (-2)\/(-9) + (-136)\/(-36). Suppose 0 = 5*p + 4*s - 125, 0*p + g*p - i*s = 100. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**4 - 157*p + 7*p**2 - p**3 + 321*p - 163*p as l*p**4 + h*p**2 + z*p**3 + t*p + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 0 - 1\/2*j**3 + j + 0*j**2 - 343\/12*j**4. Let d be z(4). Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22 - (-19 + 33) - 20\/3. Suppose -a - 2\/3*n + 2\/3*n**2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8943 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2 = -5*d - 0*h, 5*d - 6 = h. Suppose 0 = -0*z + 3*z - 6. Let q = 5\/3 - z. Which is the nearest to d?  (a) -1  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1856 and -28.6.\nAnswer: -53081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in 0.1, 0.02, -1\/49795, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 3*z - 4. Suppose 5*u + 4*r - 61 = 2*r, 15 = 5*r. Let b = u - 8. Suppose -2*v + 3*i - 6 = 0, b*i + 12 = -4*v + i. Calculate h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-3))\/(2*60\/(-45))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {u: 2, f: 1, q: 7, p: 2, d: 4}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 277234122 to the power of 1\/3, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 2 = -0*v, -n = 5*v + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-4)*(-19)\/19. What is the second smallest value in a, -2\/9, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**5 - 6 + 6 + (0*g + 0*g + g**2)*(g**3 + g**3 - 4*g**3) - 2*g**5 + 3*g**2 - 3*g**2 - g**3 + g**5 + g**3.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -826*r**3 - 4936 - 51*r**2 + 2156 + 51*r**2 wrt r.\nAnswer: -2478*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11*t**2 + 12*t**2 - 8*t**2 + 11*t**2 - 163*t + 28*t**2 wrt t.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 284 divide 153356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 22*o**2 - 296*o - 74. Determine t(18).\nAnswer: 1726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 - 15*l + 23. Let n(a) = -9*a**2 + 31*a - 46. Let o(d) = 3*n(d) + 7*q(d). Let w be o(10). Solve 0 = z - 2*j - 4, 3*z - 3*j - w + 0 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -296, -1175, -2640, -4691, -7328, -10551?\nAnswer: -14360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*g**2 - 34506*g + 13800.\nAnswer: 3*(g - 2300)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(2736)*-4)**2 + -2)*-5.\nAnswer: -1313220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s + 5. Suppose -2*m = 2*m - 16. Suppose -16 = 101*k - 103*k. Let z be ((-18)\/m)\/(6\/k). What is p(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1175*n + 12781 = -3669 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 410*c - 9 + 26 - 17 to w + f*c and give f.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 86751132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -190, -175, -150, -115, -70, -15, 50?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 9:01 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17 + 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10693, 12\/7, 0, 18?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26730 or 26726?\nAnswer: 26730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41178 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 237 and -0.494.\nAnswer: 236.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -19\/70 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 5*a**4 + 25*a**3 - 110*a**2 + 80*a = 0.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -4  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -0.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 10 + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13113613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4*d + 4 + 7 = 0, 0 = l + 3*d - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -303, 36, 609, 1422, 2481, 3792, 5361, 7194?\nAnswer: 9297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 98, -582, -1710, -3280, -5286, -7722, -10582?\n\"Answer: m**3 - 230*m**2 + 3*m + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -24357708, -24357700, -24357692, -24357684?\n\"Answer: 8*y - 24357716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nknhnmhfkmfufn. What is prob of sequence mn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15164 is divided by 1676.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2. Let t(u) = 297*u**2. What is t(k(q))?\nAnswer: 297*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.01 + 0.2. Let y = -11106.18892 - -11106. Let l = g + y. Round l to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 9\/23  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t + 14. Calculate g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {o: 3, k: 2, t: 3, m: 1, r: 4, d: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from mxmxttettemm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 2. Let h be g(6). Let q(s) = s**3 - s**2 - s. Let u(i) = 2*i**3 + 2*i**2 - 5*i + 2. Let o(w) = -3*q(w) + u(w). Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of o**9\/6300 - o**8\/1200 + o**7\/630 - o**6\/900 - 5*o**4\/3 - 59*o**2. Let i(q) be the second derivative of c(q). Factor i(d).\nAnswer: 4*d*(d - 1)**2*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -350898 + 1060025 = 79*n + 94*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -538 + 544. Differentiate 13*j + 7*j + q*j + 165 + 220*j**3 - 219*j**3 wrt j.\nAnswer: 3*j**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 108*t + 4045. Let d(y) = 68*y + 2696. Calculate 8*d(u) - 5*k(u).\nAnswer: 4*u + 1343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4460 - 4459.98. Let m(f) = -4*f**3 - f - 1. Let n be m(-1). Put -2\/3, 0.3, n, y in decreasing order.\nAnswer: n, 0.3, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12166 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1161, 1155, 1149?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*((-3)\/2 - -2). Solve 0 = d - y + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 103*m - 480*m + 184*m + 0 + 188*m + 0.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11807 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 s(i) = -i**2 - 13*i - 22. Suppose 4*x = -4*l - 48, -17 = x + 2*l - 3. Let a be s(x). Suppose 2*m = a*m + 6. Sort -3, m, -5.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 0*t**3 + 0*t - 11\/135*t**5 - 1 + 6*t**2 - 4\/27*t**4 + 1\/180*t**6. Find m such that q(m) = 0.\nAnswer: -2\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -130, -319, -610, -1003, -1498?\n\"Answer: -51*o**2 - 36*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14244975179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.3527717 months?\nAnswer: 0.000112730975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-1 - -11) - -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/2)\/3*462\/(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2930, -2927, -2922, -2915, -2906, -2895, -2882?\n\"Answer: c**2 - 2931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2 + 9*z + 6. Let n be d(-7). Let y = -43 + n. Let f(q) = -272*q - 3. Is f(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318\/212*10\/(-135)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.05012801 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153 - 104 - 58 = 63*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15.3891908 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-1))\/3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 0*s**2 - 2*s**2 - 5*s**2 + 3*s**2. Let g(o) = 3*o**2. Calculate m(g(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**5 - k**3 - 3*k**2 - 3*k + 1. Let p(b) = b**5 + 2*b**3 + b**2 + 1. Let s(o) = -a(o) + p(o). What is the third derivative of s(c) wrt c?\nAnswer: 120*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (39\/(-30))\/(126\/(-1260)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 915942.6ug in kilograms?\nAnswer: 0.0009159426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91989 and 18198.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009201947097 to 4 dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -3*s**3 - 45636*s**2 - 5702127*s + 5747766 = 0.\nAnswer: -15086, -127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 0*h - 2*h + 3. Let f be (-6)\/(-8) + 45\/(-12). What are the prime factors of s(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11100101102 - 11?\nAnswer: 11100101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000810938 to 7 dps.\nAnswer: 0.0000811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 28*r = 6*a - 195, 2*a + 4*r = 3*a - 17 - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/((k*k**(-2\/3)\/k)\/k)))**(-4\/29)*(k*k*k**(-7)\/k*k*k*k)\/((k*((k*k**(-3\/8)*k*k)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-2363\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1745 is divided by 348.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 170856 and 170850 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10.36*-4494\nAnswer: 46557.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 2*a + 1038, -4*a - 200 = -l + 64. Let b(h) = -h**2 + 4*h**2 + 257*h - 5*h**2 - l*h. Let t(d) = d. Calculate -b(f) - 3*t(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -2. Let h be (-20 + (r - 1))*-1. Suppose -15 - h = -5*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 x, and 2 k when four letters picked without replacement from krkxkkxrkxvkv?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b. Let w(o) = -2*o - 11*o + 7*o. Give z(w(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/4)\/(k**(-4\/7)*k))\/(k**4\/(k\/(k*k**1)))*(k**(2\/5))**(-2)*k\/k**(-2)*k**2*k assuming k is positive.\nAnswer: k**(73\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 1708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(2079\/36)*(-3)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103924 is divided by 2958.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -173732348 + 0?\nAnswer: -173732348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -57 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - 1. Let g be 2\/(-9) + 94\/18. Let k = c + g. Solve k*z - 13 - 2 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -85 by 7.\nAnswer: -85\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**2 - 27*j + 37. Let x be p(4). Suppose 4*g = 2*q + 24, 0*q = 4*g + 2*q - 16. Solve 0 = -g*l + 2*c - 19, -3*l + 2*l - x = -3*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-3 - (-40)\/(-6)*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-548)\/(-2603))\/((-150)\/(-95))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15\/(-135) - (-56)\/18. Let f(y) = -2*y**3 + 4*y**3 - 2*y**2 + 4*y**2. Let p(d) = 2*d**3 + 3*d**2 - 1. Calculate s*f(m) - 2*p(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chicwjjiu. Give prob of sequence jh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in 0.3, -0.2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, g: 15}. What is prob of sequence gdgg?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, 2057, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.69, -0.7, -0.1, 16 in descending order.\nAnswer: 16, -0.1, -0.69, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -45 and 0.089.\nAnswer: -4.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**5 - 4*w**5 + 4*w**5 + (389111*w**2 + 389092*w**2 - 7 - 778249*w**2 - w)*(-w**3 - 1 + 1).\nAnswer: 48*w**5 + w**4 + 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9841*y = -9316*y - 4200 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57585 is divided by 1692.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 2*c - 3. Let a be m(-3). Suppose 4*b + a = -4. Let u(k) = k**3 - 14*k**2 + 12*k + 12. Let g be u(13). Is g at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 + 110*a + 345. Give w(0).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 798*h - 47825. Determine d(66).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.4, -1.2, -2\/17, -5 in descending order.\nAnswer: -2\/17, -1\/4, -0.4, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 190409.91 minutes?\nAnswer: 3173.4985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**2 + 5451*r - 16380 = 0.\nAnswer: -1820, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 5*o + 0 + 3 = 0, -2 = -4*t + 2*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*z + 23*z - 13*z**2 + 13*z - 52*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1547262 and 7.\nAnswer: 10830834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and 1849100.\nAnswer: 1849110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 - -9. Let l(g) = -2*g + 14. Is 12 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*i + 3*k + 6713 - 6650, 5*i = -4*k - 60 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 4745 = 4709 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26\/(104\/420) - 0\/(-2) is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 17145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89 - 44 - 45 - 707*n**3.\nAnswer: -707*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8412 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + 2*sqrt(153)*3 - 2*(sqrt(153) + (sqrt(153) - (sqrt(153) + (sqrt(153) - 4*sqrt(153)) - sqrt(153)))))\/(sqrt(900)*2*-3*-6).\nAnswer: -sqrt(17)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c*c*c*c\/((c**(1\/5)*c)\/c*c*c))))\/(c\/(c**(-2\/5)\/c)))\/(c**(-2)*c**(-1\/4)) assuming c is positive.\nAnswer: c**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 17 = -5*f - 82, 3*f - 3*z = -45. What is the common denominator of (15 - -3)\/(16\/f) and (0 - -2)*102\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37330, 37450, 37572, 37696, 37822, 37950?\nAnswer: 38080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (184 - 424 + 154)*(4 - 1 + q + 2) as r + h*q and give r.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 4*c + 0*c**3 + 13*c**3 + 10 - 3*c**3 as n*c**2 + q*c**3 + a*c + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/12 and -47\/10776?\nAnswer: 10776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -18. Suppose w = n*w + 70. Let a be 255\/(-280) + (-4)\/w. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1317693 by 113.\nAnswer: 11661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 89.8097 centuries?\nAnswer: 8.98097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 461414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -79 + 81. Let s be (-8)\/u*(-13)\/(-546). Which is the second smallest value?  (a) 0.2  (b) 1  (c) s  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 168 = 188 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 5*k - 17. Calculate n(19).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i + 1. Let o be k(6). Suppose -t = o - 37. Suppose 3*l + 5*n + 35 = 8*l, l - 5 = 3*n. Calculate the remainder when t is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - v + 2 - 2 + v + v - 1 + 1 + (-3*v + 4*v + 0*v)*(-3 + 1 + 3) + v + 0*v + 0*v + 0*v + 3*v - v + (4 - 4 - v)*(0 - 1 + 4)*(65 - 46 + 46).\nAnswer: -190*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*p**3 - 11*p**2 - 5*p**2 + 15*p**2 + (-p + 3 - 3)*(3*p**2 + 3*p**2 - 5*p**2).\nAnswer: 4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 7 + 27 = 0. Solve 0*n + 10 = c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/81 and 71\/756.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2 + 30*a - 304.\nAnswer: (a - 8)*(a + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 1  (c) -1\/5  (d) 1\/4  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29709 is divided by 3550.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 28754777 rounded to the nearest 10000?\nAnswer: 28750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -1603495\nAnswer: -8017475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-2))\/(-3)*(-64)\/208.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 2*a + 401, 21*a = 22*a - 1. What is the greatest common factor of 5187 and g?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 j when three letters picked without replacement from pphpppppjppq.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w + 2*w + 11 - 2. Let x be r(9). Let l = x + -28. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-240)*-4*-48?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1214 - 717. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkkddkkddd. Give prob of picking 3 d and 1 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o + 10. Let f(j) = 2*j + 7. Let q be f(-2). Let d be b(q). Let t be -1 - -3 - (d + -6). Sort -1, 0, t in ascending order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/19226569 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2783973, -5567948, -8351923, -11135898?\n\"Answer: -2783975*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10088 - 10088.20948. Round g to 3 dps.\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2. Let x(w) = 2*w**2 + 3*w - 1. Let c be 10\/(-2) + (-5 - -7). Let f be x(c). Let r(h) = -1 - f*h + 9*h + 1. Calculate z(r(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 65 = 79. Suppose 3*l - 40 = -4*v + 16, -1 = 2*l - 5*v. What is the greatest common divisor of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4866489822 + -12991?\nAnswer: -12990.5133510178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -2) + 4 + -6 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 17.16459 centuries?\nAnswer: 1.716459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/16416 and -49\/26976960.\nAnswer: 80930880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 503535638.\nAnswer: 2, 251767819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/2 + (-7)\/(-2). Suppose 4*r + 4*p = 4, 5*r + 1 - 27 = 2*p. Find the second derivative of m**2 - 2*m + r - j wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19  (b) 0.5  (c) -3  (d) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 4*x + 7. Let j = 44 - -64. Let s = 81 - j. Let a = s + 22. Calculate i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 82*d - 11. Calculate q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45080 and 175.\nAnswer: 225400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2432*p + 6*p**3 - 2432*p.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.0277 decades in centuries?\nAnswer: 0.40277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(2\/7)*l)*l)**8*(l\/l**(3\/8))\/((l\/(l**(-1\/10)*l))\/l) assuming l is positive.\nAnswer: l**(2027\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -162, -916, -2786, -6306, -12010, -20432?\n\"Answer: -89*o**3 - 24*o**2 - 59*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-24)\/(-60) + (-73)\/(-5). Let x = z + -15. Let u(b) = -b**2 + b + 3. What is u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3654 + 3667. What is the remainder when 77 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {l: 1, s: 5, f: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2766502, 5, 0.2, -1.8?\nAnswer: -2766502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -12*4132\nAnswer: -49584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/4 - -1 - -1. Let p be ((-10)\/13)\/1 + 1. Let y = p + 1\/52. What is the biggest value in -4\/3, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -19*c + 1919. Calculate the smallest common multiple of c and 5.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 323082371?\nAnswer: 47, 89, 77237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4a (base 14) to base 6.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2  (b) -3  (c) -1\/2  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4351*a**3 + 9*a**2 - 19*a + 12. Let p(m) = -4350*m**3 - 10*m**2 + 17*m - 10. Let o(x) = -5*c(x) - 6*p(x). Find the third derivative of o(w) wrt w.\nAnswer: 26070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 13*y**2 - 29*y + 15. Let i(p) = -3*p - 16. Let h be i(-7). Suppose 3*r - 3 = -c, -2*c + h*r - 10 = -4*c. List the prime factors of u(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of p**7\/1680 - p**5\/240 - p**3\/3 - 1. Let a(f) be the third derivative of c(f). Determine h so that a(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*h**4 + 68*h**3 + 276*h**2 - 740*h + 400 = 0. What is h?\nAnswer: -5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y + 1. Give z(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64885, -258684, -581683, -1033882, -1615281, -2325880?\nAnswer: -3165679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 582  (b) 0.1  (c) 3  (d) 2\/7  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 177 + -95. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.1, 244\/13, -18, -1 in increasing order.\nAnswer: -18, -3, -1, -0.1, 244\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/(s\/((s**(-11\/3)\/s*s)\/s)))\/s)\/(s*((s**(-20)\/s)\/s)\/s*s*s))**(6\/7))**13 assuming s is positive.\nAnswer: s**(1118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26115*o**3*q**2 + 2*o**3 - 889*q wrt q?\nAnswer: 52230*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4753\/15 + 317. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -a**5\/120 - a**4\/12 + a**3\/3 - 2*a**2. Let s(g) be the first derivative of z(g). Let u be s(-2). Are 0 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*k - 59*k - 2*p = 95, k - 11*p + 19 = -13*p for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 12:33 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 49406.6 to the nearest one hundred.\nAnswer: 49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 3. Let i be n(2). Suppose 2*k + i*d + 8 = 0, -3*k + 0*d = -d - 5. Let h(s) be the first derivative of -s**2\/2 - s + 3. Calculate h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81432966 divided by 6.\nAnswer: -13572161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 344 and 7288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 271659 divided by 5\nAnswer: 271659\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29231413?\nAnswer: 23, 857, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 0, -1 in ascending order.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/144 and 17\/12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 6*d - 14. Let a be y(-4). Let c(r) = 2*r**2 - 5*r + 5. Let v be c(4). Let t = a + v. What is the remainder when 20 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 6 = -z. Let i(v) = 39*v - 57. Let q be i(5). Let u = q + -133. Solve 0*d - z*d + 40 = -u*n, -2*n + d - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -4\/5  (b) 3  (c) 5  (d) 27  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u = -31*u + 16072. List the prime factors of u.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q - 871*q**4 + 869*q**4 + 95*q**3 - 5 + 6 to the form x*q**2 + o*q + s*q**4 + t + g*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43\/111 - 2\/37. Let y(c) = 2*c + 12. Suppose 5*j + 32 = 2*z, 4*j + 29 = 6*z - z. Let r be y(j). What is the closest to r in 1\/9, d, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {w: 4, g: 3, n: 3, e: 5, k: 3}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from {j: 9, u: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -4*g**3\/9 - 5752*g**2 + 69072*g - 207264 = 0.\nAnswer: -12954, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14301 - -100490\/7. Let z = -16 - 39. Let i = h + z. Is i smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -q**4\/3 + q**2\/2 + q. Let u = -153 + 148. Let z(n) = -2*n**2 + 9*n**2 + 0 - 1. Give u*c(i) - 3*z(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -71\/10, 8\/7, 0.1, 0, 0.4 in ascending order.\nAnswer: -71\/10, -3\/5, 0, 0.1, 0.4, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 12, -3*f + 54 = -2*w - 2*w. Suppose -2*g - 2*b = f, 5 = -4*g + 4*b + 1. Find the common denominator of g and ((-9)\/(-36))\/(53\/76).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*c**2 - 47*c**2 - 51*c**2 + 52*c**2.\nAnswer: -115*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*v - 75*v + 30 = 0. What is the third derivative of -2*h - v*h**3 + 0*h - 16*h**2 - 6*h**2 - 26*h**4 + 23*h**4 wrt h?\nAnswer: -72*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/45  (b) -10\/5947  (c) 8\/11  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 - 40. Let c(i) be the first derivative of 0*i - 2\/3*i**3 + 1 + 0*i**2 - 3\/4*i**f. Find the third derivative of c(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**2*d)\/d**(1\/2)*d\/((d*(d*(d**(-7)*d)\/d*d*d)\/d)\/d)*d*d*(d\/((d*d**(-3))\/d))\/d assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -136044668, 2\/3 in descending order.\nAnswer: 2, 2\/3, -136044668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2788 and 11492?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 13*u - 38. Let n be l(-5). Let h be ((-3)\/2)\/(6\/(-328)). Suppose -n*i = 14 - h. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 16. Let k(h) = h**2 - 6*h + 7. Is 15 a factor of k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(22)\/(sqrt(88)\/sqrt(8))))**2 - ((-1*sqrt(104))\/sqrt(8) + -5 + sqrt(52)\/sqrt(4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04423913257 to four decimal places.\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229332.\nAnswer: 2, 3, 29, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 8. Let u = 0 + v. What is the closest to 0 in u, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - -0.4. Suppose 13*a = 17*a - 4*o + 44, -4*a = -5*o + 52. What is the nearest to -0.2 in t, a, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 3. Let v be 0 - (0 + 2 + d). Let t be -2 - v - (-8 - -2). Solve -b + 9 = -t*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bobb when four letters picked without replacement from {o: 7, b: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 189414?  (a) 0  (b) -0.09  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*x + x**2 - 2*x + 15*x - 2*x + 2*x**3 to the form f*x**2 + k*x + j*x**3 + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 353.85 - -0.15. Let r = u + -353.9108. What is r rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 5:08 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/4 - 15\/(5\/1). Let n(y) = 35*y**2 + 2*y + 1. Calculate the remainder when n(z) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 7. Let a be x(10). Suppose -a*o + 30 = -o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1764 or -1768?\nAnswer: -1768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4325405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -18*m + 36. Let r(j) = 1. Give -d(c) + 36*r(c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 98.87518 nanograms to grams.\nAnswer: 0.00000009887518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 582655.6 rounded to the nearest 1000?\nAnswer: 583000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 4*x + 131 = -3*s, -2*x + 138 = 4*s. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-4))\/(1011\/(-5392)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q + 150 = -3*b, -8*b - 17*b = -30*b + 5*q - 70 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 72\/15 + 1\/5. Suppose -u*z - 39 = n - 2*n, 0 = -3*n - 3*z + 63. Suppose 0*x + 3*x = n. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 1082732\nAnswer: 4330928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 18 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 10 - 8. Let t be (-3)\/(-12) + b\/(-4). Suppose -4*r - r + 180 = t. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27c (base 15) to base 10\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -5*w - 0*w - 4*k, w - 16 = -2*k. What is the least common multiple of w and (-2)\/(-4) - (-34)\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00051 - 148393.39542?\nAnswer: -148393.39491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j**2 - j. Let i be t(2). Suppose -5*d = -0*d - i. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 7 = -3, -5*r - 2*d + 44 = 0. Solve b + 4*s - r = 5*b, 5*b = s - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/19)\/(h*h**(-2\/13))*(h*h\/(h\/(h*(((h*h*h**(-12)*h*h)\/h)\/h)\/h))*h)\/(h**(3\/5)\/h) assuming h is positive.\nAnswer: h**(-10301\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 2:55 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 166220881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 467, 3220, 10509, 24602, 47767?\nAnswer: 82272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4 + 5*(-3 + (sqrt(2057) - (2 + sqrt(2057)))))**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/17375 and -71\/4800.\nAnswer: 3336000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1204 (base 5) in base 15?\nAnswer: -be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -12*i + 15. Let y(q) be the first derivative of 3*q**2\/2 - 4*q - 4. Let k(r) = -4*w(r) - 15*y(r). Let j(t) = -4*t. Determine j(k(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39128 + 102349 = 1684*h - 31975 for h.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, -2, -2\/7, 0, 2\/3, 4\/3 in descending order.\nAnswer: 81, 4\/3, 2\/3, 0, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 + 4*d - 6. Let l be f(4). Let h(k) = -4*k + 15. Let y(q) be the second derivative of -q**3\/3 + 7*q**2\/2 + 17*q. Determine l*h(w) + 13*y(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 6*q**2 + 5 + 7*q**2 to i*q + p + z*q**2 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*f + 12, f + 4 = -2*p + 2*f. Suppose 58*c - 56*c - 20 = p. List the prime factors of c\/(-15)*(0 + 522\/(-4)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19.38 - -0.38. Let q = 30 + v. Let r = q + -11.2. What is the nearest to r in -2, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 712 and 84372.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99031*u + 270 = 99041*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.028999899 - -0.029. What is y rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10589061 divided by -3?\nAnswer: -3529687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -72 - -71.15. Let c = 75.35 + k. Let a = 74 - c. Is -3 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0758176 - 6860\nAnswer: -6859.9241824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -d**6\/70 - 3*d**5\/35 - 3*d**4\/14 - 2*d**3\/7 - 3*d**2\/14 + d. Let b(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by 4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -1\/6  (c) 144  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4681400.137 + -91794.763. Let i = j - -4773190.9000062. Let o = i + 4. Round o to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -37\/42*h**7 + 0 + 0*h**6 + 0*h**3 - 38*h + 0*h**2 - 25\/12*h**4 + 0*h**5. Find the third derivative of s(i) wrt i.\nAnswer: -2220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29747, 29746, 29745, 29744, 29743, 29742?\nAnswer: 29741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -484749, -484786, -484893, -485106, -485461, -485994, -486741?\n\"Answer: -6*i**3 + i**2 + 2*i - 484746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (20 + -27 - (-4 - 1))) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*m - 6 = -68*m - 5*o, -o = 3*m + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*((-10)\/80)\/((-12)\/(-96))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventy-two fifths of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/301 and -115\/2322.\nAnswer: 16254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 4 = 5*b. Is 5\/4 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**8\/20160 - v**7\/5040 - v**5\/20 - v**2. Let q(n) be the third derivative of f(n). Solve q(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4576439, -4576424, -4576405, -4576382, -4576355, -4576324, -4576289?\n\"Answer: 2*n**2 + 9*n - 4576450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -1. Let m = 47\/14769 - -113203586\/251073. Let k = -451 + m. Is k != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 48414 + 15258 = 0. What are the prime factors of n?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4102123?\nAnswer: 4102123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -154*u**2 - 117*u**2 - 179*u**2 - 44*u**2 + 2. Let t(y) = -3*y. What is t(x(l))?\nAnswer: 1482*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/2208 and 53\/16146000.\nAnswer: 32292000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 930 divided by -310\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(2\/(-42) + (-1235)\/82992).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iidiiquiqrrduuidrqdi. Give prob of sequence ri.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 8*g + 3*o = 4, -10 = 2*g - 4*o. Let i be (-11)\/35 - (g - 256\/(-40)). Determine x so that i*x - 2\/7*x**2 - 2\/7*x**3 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21882, 21867, 21838, 21789, 21714, 21607, 21462?\nAnswer: 21273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1384 + 1?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -238*b**2. Let k(y) = -2. Let h(f) = f - 4. Let w(l) = -2*h(l) + 4*k(l). Determine w(u(c)).\nAnswer: 476*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4641628*-0.5\nAnswer: 2320814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12558 = 4*d - 4374. Let u = d - -8235\/4. What is the common denominator of u and -49\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - k = -2*k - 17 + 13, 3*k - 27 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 + 6*c**2 + 7*c + 1. Let o be m(7). Let n = -597\/5 + 119. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -976447, 0.4?\nAnswer: -976447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 184826 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-228)\/(-855) - 4\/(-10))*1188 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 444284.\nAnswer: 2, 109, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 82 = 4*u, 0 = 3*t - 8*t + 5*u + 175. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 r when three letters picked without replacement from rkrpr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 4 = 4*r. Solve -5*y + 3 = r*p, -p = y - 4*p - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s**3 + 2835*s**2 - 8402*s**2 + 2725*s**2 + 2842*s**2.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 410 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/70702 and -51\/1041026?\nAnswer: 30189754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tfftmmmmmt. What is prob of sequence fmm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**(-1)*m**5*m**(-2\/5)*m**(-1\/2)*(m**0*m)**18\/(m**(-2\/7)*m**(-1)) assuming m is positive.\nAnswer: m**(1637\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(6*(sqrt(156) - sqrt(156)*-2) + 5*sqrt(156)*2))\/((-2*sqrt(480)*1)\/sqrt(10)))**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 2*u**3\/15 + 2*u**2\/5 - 2. Factor h(g).\nAnswer: 2*g*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 25\/6, 2, -3\/7, 5, 0.3?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w - 5*w + 31*w**2 + 2*w + 7*w.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + q. Let m(b) = 9*b + 0 - 1 - 2*b**3 + 22*b**2 - 36*b**2. Let a(y) = -m(y) + 6*z(y). Find the second derivative of a(w) wrt w.\nAnswer: 12*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/1584 and -125\/1212882.\nAnswer: 29109168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, b: 4}. Give prob of picking 4 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3655.9 and -5.\nAnswer: 18279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 7:07 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.098 - -74.902. Let i = 75.000000422 - t. What is i rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -18. Suppose -6*w + x + 109 = 0. Let z = w + -17. Solve z = -2*a + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 5. Let g be 0\/(-1)*(-1)\/h. Suppose 4*f - 342 + 122 = g. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.87023319 rounded to 4 decimal places?\nAnswer: 5.8702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 982688664 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 16777280 divided by 416?\nAnswer: 40330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -98 - 1122. Let c = q + 2069. What are the prime factors of c?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 25*y. Let x(m) = -2351*m**2 + 1176*m**2 + 1180*m**2. What is u(x(f))?\nAnswer: 125*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(6)\/sqrt(2) + -4*sqrt(3)*5.\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -1 - 435\/85.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110 (base 2) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 2) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00032049331 to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1019804 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 9*c + 2. Suppose n + n - 2*s = -2, n - 4*s + 10 = 0. What is the tens digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21576 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2\/5, -5\/3, -7\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 12*c**4 - 4521*c**3 + 16821*c**2 - 13416*c - 4476 = 0?\nAnswer: -1\/4, 2, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24935 = 398*s + 2*s - 4694 - 771 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000021212502 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 68?  (a) 7  (b) 0.4  (c) 0.01  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**12*s**(-1\/7)*s*(s**2)**36 assuming s is positive.\nAnswer: s**(594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7\/5, -3, 0.13, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r**2 + 17*r**2 - 17*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 5*o = 29, 0 = -2*j + 12*o - 17*o - 38 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b8b - -5?\nAnswer: -2b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37268\/16940*10\/(-418).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**2 - 1424*c + 274920 = 0?\nAnswer: -870, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, z: 1, i: 1}. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - l - 2. Let t(x) = -2*x**2 + 6*x. Let v be t(4). Let o be 4\/(12\/v - -1). Let w = o + 8. Determine g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c**2 + 217*c - 3504. Let a be d(49). Let h(v) = -v + 7. Let b be h(5). Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*((0 + 0 + 2*n)*(-5*n**3 + 4*n**3 - 2*n**3) + 3*n - 3*n + 2*n**4).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 42.1\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-238248)\/(-144))\/(3\/(-4)*-2).\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -15.35. Let f = 11 + -11.03. Let k = f - u. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, 2, 103605, -113 in ascending order.\nAnswer: -113, -2, 2, 4, 103605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*f - 3*f + 7568. Suppose -7*s + 3*s + f = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 68*b**2 - 182*b - 901. Give a(65).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15309 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 28*a**2 + 3*a - 3. Let f(o) = 51*o**2 + 5*o - 5. Let g(d) = 3*f(d) - 5*t(d). Let l(r) = 16*r. Give l(g(p)).\nAnswer: 208*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -332077153\/1088 - -305218. Calculate the common denominator of -101\/136 and y.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -94*u**3 + u**2 - 4*u + 5. Let c(g) = 281*g**3 - 2*g**2 + 12*g - 15. Let l(s) = 3*c(s) + 8*v(s). Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2623.599 + -0.701. What is m rounded to the nearest ten?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 380000 and 380000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 277*a**2 + 3*a + 18. Suppose -3*s - 8 = -4*s - 4*d, 4*s - 3*d = 32. Let m be l(s). Round m to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -1) + 2898\/378 - 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -43 - 7?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1107)\/(-6) + (-1)\/(-2) is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -2*w**3 - 58*w**2 + 340*w = 0.\nAnswer: -34, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2250 - -3206.3.\nAnswer: 5456.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 15*n - 30. Solve -n*j - 1 - 11 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -j**8\/80640 - j**7\/5040 - j**6\/960 - 23*j**5\/30 - j**2 - 16. Let f(r) be the third derivative of c(r). Solve f(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 10 = -4*p - p, p - 2*o - 1 = 0. Suppose t - 629 = -p*w + 490, -3*t = -w + 373. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, y: 3, l: 1, i: 1, j: 1}. What is prob of picking 1 u and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 261*l + 0 - 265*l + 528*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2736, 5477, 8218?\nAnswer: 10959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-12 + 1 + 18 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -20. Suppose q + 1 = n, -q = a*n - 11 + 3. Let r be ((-40)\/(-50))\/(q\/35). Is 14 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -0.2046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 198*c**2 - 327*c - 60.\nAnswer: 3*(6*c + 1)*(11*c - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*f**4 - f**2 + 1339 - 1339 + (0*f**4 - 2*f**4 + 5*f**4)*(-1 - 2 + 4) to the form d*f**3 + i + j*f**2 + x*f**4 + r*f and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 191000 and 525250.\nAnswer: 2101000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*x - 2*x + 73 - 51*x.\nAnswer: -119*x + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from nwwnk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (0 - (-8 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 43748, 47167, 56444, 74507, 104284, 148703, 210692, 293179?\n\"Answer: 488*j**3 + j**2 + 43259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 557*r = 923 + 6232 + 86 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94964734, 94964730, 94964724, 94964716, 94964706?\nAnswer: 94964694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -317566848 and -17.\nAnswer: -317566865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w - 23704 - 138062 = 0. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - d + 21 = 0, 2*z + 3*d - 8 = 16. Let y(i) be the second derivative of i**z - 1\/12*i**4 - 13*i + 1\/2*i**2 + 0. Give y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -130, -392, -830, -1444, -2234, -3200, -4342?\n\"Answer: -88*p**2 + 2*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 37493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 4*o + 15*o)*(2 + 1 - 1).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8058 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 9:04 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129267969?\nAnswer: 3, 2213, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 254671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of j**3\/3 - 5*j**2 + 16*j - 1. Let v be h(7). Which is the nearest to 1?  (a) v  (b) -13  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-125)\/(-375))\/((9048\/112)\/(-13) + 6).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwagpjq. What is prob of sequence ga?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.7379793ml?\nAnswer: 0.0007379793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, m: 4, y: 6}. Give prob of sequence my.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 136 + -134. Let z be -4 + 10 - (0 - -2*1). Which is the closest to 1?  (a) 0.3  (b) s  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 + 12*j - 12*j + 2)*(-11*j + j + 0*j).\nAnswer: -10*j**4 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -p + 13, 3*x + 30 + 3 = 2*p. Is 130\/7 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + 0)\/(-28 + 29). Suppose -6571 = -b + 4*j, 5*b = -w*j + j + 32798. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 322574, 322576, 322578?\nAnswer: 322580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 divided by -341606.\nAnswer: 19\/170803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - n - 4*n)*(-1 - 1 + 3)*(-1 - 3 + 1).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/8, 63797, -323\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0250859048 rounded to 6 dps?\nAnswer: -0.025086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - d - 1. Let c(z) = 6*z**2 - 2*z - 2. Let p be (-3 + 2 + 2)*(20 - 22). Determine p*c(h) + 4*u(h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(8\/7)*z\/z**7*z)**(-1\/33) assuming z is positive.\nAnswer: z**(9\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 484\/10 + -95 + 59892\/620?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.2, 0.335 in decreasing order.\nAnswer: 0.335, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 10:40 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sccsciicb. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 268, 2102, 7070, 16738, 32672, 56438?\nAnswer: 89602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 0) + 14\/6. Let v = -12185 - -12189. Which is the smallest value?  (a) 1  (b) -5  (c) v  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3341 divide 13320567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -107*r**3*y**3 + 5021*r**3*y**2 + 3*r**3*y - 2*r**2*y - 58*r*y**3 - 1317*r wrt r.\nAnswer: -642*y**3 + 30126*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3, -5*g = 2*a - 3*a + 136. Let l = -17 - g. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/5, -2, -0.243?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 35398371 and -4.\nAnswer: -141593484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -221*m - 198*m + 3839 - 307*m - 165*m - 370*m with respect to m.\nAnswer: -1261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 32. Let w be (u\/(-6))\/(1\/12). Let x = w - 8. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z - 1. Suppose b + 3*b + 9 = -5*h, -3 = 3*h. Let p be t(b). Let o(w) = w**2 + w - 2. Let f be o(p). Solve -2 = 2*q - f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000176767 rounded to seven dps?\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 9:30 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**2 + 141*x**3 - 4*x**2 + 108*x**3 - 254*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*o**3 - 25160 - 2*o + 7*o**3 + 25122)*(4*o - 3*o + o) + 27*o + 2*o**4 - 27*o to c*o**4 + u + a*o**3 + f*o + w*o**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 728493221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m. Let u(b) = -b**2 + 4*b + 11. Suppose -f + 5 = 8*i - 3*i, 3*i = 0. Let y be u(f). Let o(h) = -h. What is y*j(k) - 34*o(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 5:17 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 756402?\nAnswer: 2, 3, 126067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4*r - 25. Let u be t(-7). Suppose -2*b = -u*d - 21, 2*b + b - 27 = 3*d. Let j be 40\/b*(-24)\/(-20). Calculate the greatest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18655423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -2, 16, -0.01, -24, 0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 104\/2 + 3 + 3. Let d be 3 + -1 + 2 + 0. Suppose d*c = -2*j + y, 8*j - 3*j = 5. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -0.4, 16, -15 in descending order.\nAnswer: 16, -1\/7, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -92164\nAnswer: 15\/92164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12 and (-1 - (-124)\/18)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -9 + 3. Solve -12 = -0*y + s*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -5*h**3 - 7*h + 5. Let q = -98 - -92. Suppose 5*d = -5*i + 14 + 66, -d + 5*i + 22 = 0. Let j(l) = -14*l**3 - 20*l + 14. Calculate d*r(z) + q*j(z).\nAnswer: -z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 488.000248 - 488. What is d rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from kmwwkwwkwkkwmkmmwmk.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4258930 and 1310440.\nAnswer: 17035720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*d + 1028752 + 3*d**2 - 65*d - 1028734.\nAnswer: 3*d**2 - 39*d + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -520*j + 780. Let d be q(-7). Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**7\/2520 - z**6\/30 + 6*z**5\/5 - z**4\/8 - z**3\/3 + 62*z**2. Let t(w) be the second derivative of a(w). Solve t(c) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or 5\/848?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**8\/20160 - h**7\/1008 - h**6\/240 + 8*h**5\/15 + 29*h**2. Let m(x) be the third derivative of a(x). Determine m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -178455969 + 178455807.99998992. Let r = y + 161. Round r to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/7 and -103\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -91954189\nAnswer: 5\/91954189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 13*r**3 - r**2 + 2*r - 1. Let m be a(1). Let y = 21 - m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.1265 + -8?\nAnswer: -14.1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 16 = 3*n. Let b = 2.1 + -3.1. What is the nearest to -1\/4 in 2\/3, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2)\/(17\/((-2)\/(-4)*-6)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -u**3\/6 + u**2 + 10*u. Let y be c(0). Let v be (-17)\/(-3) + (-4)\/6. Solve -v*l + 13 = -y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471042368.\nAnswer: 2, 2027, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) 38  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7 and 155679780415.\nAnswer: 155679780422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 5*p**2 - 8*p + 4. Let o(a) = a**3 - 2*a**2 - 38*a + 110. Let n be o(3). Determine h(n).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -13 + (-64 - -76) + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 608*t**2*v**3 - 4*t**2*v**2 - 2*t**2 - 15*t*v**2 wrt v?\nAnswer: 3648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5874806, -5874812, -5874818?\n\"Answer: -6*u - 5874800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 678 + -318. Is g a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -2*y + 1002. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/9))**(-7))**(-24) assuming q is positive.\nAnswer: q**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 172, 334, 510, 712, 952, 1242?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 109*w - 3 + w**2 + 220*w**4 + 197*w**4 - 418*w**4 in the form b*w**2 + u*w**4 + o*w**3 + i + d*w and give d.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -161131.629 to the nearest 1000.\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 1438590?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 2. Let q be j(-2). Let h = q + 0. Let u = 5 - h. Solve -l - 16 = -u*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -1310?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*c**2 + 10*c**2 - 18*c**2 + (-5 + 1 + 3)*(-6*c**2 + 4*c**2 + 3*c**2) + (4 - 1 - 6)*(c**2 - 2*c**2 - c**2) - 2*c**2 - 2*c + 2*c.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16*(-12)\/288*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8287650 + 0?\nAnswer: 8287650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3.1 * -4.3\nAnswer: 13.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43 + 2*c + 76 - 45.\nAnswer: 2*c - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 5:44 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245 = 24*o - 19*o - 54*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 10*v + 4 = 0. Which is the smallest value?  (a) 0  (b) -2  (c) -0.4  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 13) to base 16\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) - (3 + sqrt(304))*3)*-4*-3 + (sqrt(304) + 3*sqrt(304) + 1 - (1 + 0 + sqrt(304))))**2.\nAnswer: 18144*sqrt(19) + 145728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(4\/145450))\/((-81)\/(-421200)). What is u rounded to the nearest 1000000?\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -50*g**3 + 2*g**2 - 3*g - 4. Let v be n(-1). Suppose -v - 39 = -3*p. Is (-16)\/(-120) - 3673*(-2)\/p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Suppose j = m*j. Suppose j = 5*z + 25 - 85. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -a**3\/3 - 6*a**2 - 5*a - 453. Calculate h(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7297, 7303, 7309, 7315, 7321?\n\"Answer: 6*s + 7291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 7*w + 4. Let i be s(7). Suppose 5*n - 10 = 0, 5*z - 3*z + 5*n = 14. Let o(l) = -2*l - l**2 + 2 - 3*l + l**2 + l**z. Determine o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 755262 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)\/g)**36*(g\/(g\/g**(12\/5)))\/g**(-6) assuming g is positive.\nAnswer: g**(-678\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(0 + 2*p + 0) - 2 - p + 2 + (0 - 3 - 1)*(-7303*p + 7338*p - 6 + 3).\nAnswer: -139*p + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 - -21310003?\nAnswer: 21303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51.1 * -2.\nAnswer: -102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.383702315 + 18.616296015. Let w = -52 - -31. Let g = w + y. Round g to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + -13. Let l(v) = 29*v**2 - v - 1. Let j be l(-1). Let c = j + f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*y = -12, -4*y + 12 = 3*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 284.88 to the nearest integer.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 4*p**2 - 12*p - 4. Determine z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 374318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*r**6 + 587*r**4 - 1999*r**2?\nAnswer: 600*r**3 + 14088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3774*f - 65*f + 9962*f.\nAnswer: 13671*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 72625*m + 145252. Give t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-10)\/h**(-2\/21))**(14\/3) assuming h is positive.\nAnswer: h**(-416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) - (-4 + (sqrt(55)\/sqrt(5))**2 + sqrt(11)) - (-1 + sqrt(275) + sqrt(11)).\nAnswer: -6*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 11, t: 7, q: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 1:07 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 192315244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/91 - -73\/819. Let x(m) be the first derivative of -u*m**3 + 2 + 1\/3*m + 0*m**2. Solve x(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1145*x**2 - 65*x**2 - 137*x**2 - 37*x + 37*x.\nAnswer: 943*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -322021104?\nAnswer: -322021104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4370)\/(-1311)*(-2)\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 29 + 4*t - t**2 + 5 - 18. Calculate m(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*b = 30, 2*p = -2*b - 29 + 17. Solve 4*s = -p*k - 3*k + 7, -3*k = -5*s + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 0*r**4 + 1\/15*r**6 + 0*r**2 + 0 - 4*r + 0*r**3 - 1\/5*r**5. Let v(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/16, -2, 0, -375, -3, -7, 4 in increasing order.\nAnswer: -375, -7, -3, -2, 0, 3\/16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 575 - 478. Calculate the remainder when 277 is divided by g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -21*h**2 - 246*h - 168. Determine c(-6).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4262053 divided by 4.\nAnswer: -4262053\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r + 5. Let c(v) = v + 6. Let y(b) = 5*c(b) - 6*n(b). Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491561 is divided by 265.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-14)*a**(-27)\/a)\/(a**(-25)\/(a\/(a*a**(2\/5)*a))) assuming a is positive.\nAnswer: a**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-24)*4)\/(-1). What is the third smallest value in k, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84318 - 48639. Let v = -66085 + t. Let j = v + 17106. Round j to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 36946.32um?\nAnswer: 36946320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + m**2 + m + 4. Suppose -4 = -2*z - 2*z. Let g be 2*-6*3\/(-6). Let o be ((-2)\/g*0)\/z. What is y(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 5*x**2 - 7*x + 8. Let l be k(6). Let t(r) = r + 6. Let a be t(-4). Let b(v) = -1 + 3*v - 2*v**3 - v + a*v**2 - 2. Determine b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, -3, 1.2, -4574 in ascending order.\nAnswer: -4574, -5, -3, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3146 + 3144.031. Let d = g - 0.031. What is the nearest to 2 in -0.02, 5, d?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18364, -18355, -18346, -18337, -18328?\n\"Answer: 9*g - 18373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2 - 0. Suppose 336 = -252*o - 200*o - 568. Put u, o, -16 in decreasing order.\nAnswer: u, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 672146 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 744.325 to zero dps.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/3144 and 97\/14.\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 23*r**2 - 5. Let g be 168*-7*(-12)\/(-126). Let b(m) = -518*m**2 + 112. Calculate g*x(p) - 5*b(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - -3 - (10 + -1 + -18 + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13740103 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/10 + 519*(-23)\/690.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -36.462 - 0.638. Let c = -37.3 - s. What is the biggest value in c, 1\/5, 44\/5?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (4 + -7 - -45). Is w\/(-2)*7\/((-14)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -22*h - 23*h + 43*h - 18. Let l be b(-10). Suppose -20 = -l*f + 24. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3082.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 6 = 2. Let p be j\/2 + 10\/4. Solve 3*b + 3*u = 0, 2*b + 7 = -2*b + p*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368, -395, -438, -497?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -7*c - 3. Suppose 12*p = 24*p - 252. Calculate the remainder when p is divided by n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*j + 1842669. Does 16 divide j\/162 - (-2)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35022365 - 18743022. Let c = w + -3280364. Let g = c + -5298979. What is g rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0024781 rounded to five decimal places?\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16)\/3*9\/6. Let f be (-14)\/8 - j\/16. Let r be (-4)\/2 - (-1 + 0). Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*a**2*c*o**2 + 13*a**2*c*o + 5*a**2*o**3 + 7*a**2*o - 2*a*c + 2*a*o + 9*c*o**2 wrt o?\nAnswer: 22*a**2*c + 30*a**2*o + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1533ba4 (base 14) in base 15?\nAnswer: -d95041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 133*o - 135*o - 13 = 0, 0 = -x + 2*o + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35 in 4, 162, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*f**2*j*l**3 + 351*f**2*j*l - f**2 - 33805*j*l**3 - 17*j*l**2 wrt l.\nAnswer: -84*f**2*j - 202830*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -75224.1455 + 75252. Let u = s + -27.8. What is u rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.05 - 0.25. Let o = 6.3 + z. Let p = -672 - -674.8. Sort -4, p, o in descending order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2189791287 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 28324 - 9348?\nAnswer: 18976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4958 and 21754668?\nAnswer: 1457562756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 2.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -126 + 63. Let k = c + 52. Let w be (-15 - k)\/((-1)\/2). Calculate the highest common factor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*m = 466 - 5558 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m**3 - 26*m**2 + 505*m + 4160. Give q(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 210538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from mmyyymmymymymmyymyym.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1203921 and 40?\nAnswer: 48156840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**6\/q)\/(q*q**(1\/15)))**(-1\/21)*(q*q\/(q\/((q\/q**(1\/2))\/q)))**(4\/7)\/(q\/((q**(-1\/5)*q)\/q))**32 assuming q is positive.\nAnswer: q**(-2413\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2106999.075 rounded to the nearest ten?\nAnswer: -2107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 - 3*w - 5. Let c be g(-3). Let u(r) = -2*r**3 - 19*r**2 + 10*r. Let l be u(-10). What is the third biggest value in 2, -1\/6, c, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -166 + 296. Let p = x + -128. Let i = 1 + -0.5. Sort p, i, 0.1 in decreasing order.\nAnswer: p, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.448 + -0.038. Let n = 0.21293671 + 0.19706261. Let j = n - b. What is j rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*w - 18, -2*z + 0*w - 14 = 5*w. Let v(i) = 14*i - 24. Is 6 a factor of v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**2 - 10*p - 64. Let h(s) = -3*s**2 - 12*s - 65. Give 6*f(d) - 5*h(d).\nAnswer: 3*d**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.215 + -527.985. Let z = -528 - c. What is the closest to 0 in z, -2\/9, -0.3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09494 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 - -0.42. Let t = 0.9 - y. Which is the nearest to -1?  (a) 0  (b) t  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 - -17. Let g = 24 + a. Suppose 0 = 6*o - g*o. What is the smallest value in 0.5, o, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 42 = -3*l - 18, -h + 4*l - 17 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 11*n**3 + 18*n**2 + 2*n - 50. Let x(g) = 5*g**3 + 9*g**2 + g - 24. Let o(c) = 6*p(c) - 13*x(c). Give o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*v - 196*v - 1442 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and 19246859.\nAnswer: 19246859.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5044 = 6039*n - 5942*n for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -y**4 + 2*y**2 - 623*y - 4271 wrt y?\nAnswer: -4*y**3 + 4*y - 623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(2\/(-4)) + 45\/5. Let c be (-108)\/27 + (u - 1)\/(-2). Let t = -64 + 66. What is the third biggest value in 0.4, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -24. Let o(r) be the second derivative of -1\/12*r**4 + 0*r**2 + 1\/3*r**3 + l + 2*r. Find the second derivative of o(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178702 divided by -4\nAnswer: -89351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16329\/(-9) + 2\/6. Let w be 1 - -3 - 7 - -1077. Let f = w + j. Round f to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -5*t**2 + 10*t + 2. Let f = 184 - 182. Let c be a(f). Solve 5*j + 2 = -5*k - 3, -k + 1 = c*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1190\/9 - (-10)\/(-45). Suppose -n + 4*h = 3*n - 36, 39 = 2*n + 5*h. Calculate the highest common factor of n and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*b - 4*b**3 + 5*b)*(7 + 38*b + 9 - 15) as z*b + d*b**2 + u*b**3 + s*b**4 + h and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/3  (b) 0.6  (c) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7654, -7636, -7636, -7648, -7666, -7684?\n\"Answer: c**3 - 15*c**2 + 56*c - 7696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 + (-3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b. Let i(t) = 6*t. Let s be 0 + -1 - (-3)\/1 - 0. Let a(k) = s*i(k) - 14*y(k). Let z(p) = 27*p. What is z(a(q))?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*j**2 + 40*j**2 + 17*j**2 + 30*j**2 - 220*j**2 + 41*j**2.\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1183\/9514 + 11\/134. Which is the third smallest value?  (a) 0.4  (b) 3\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8146218070897 and -5?\nAnswer: 8146218070902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-4) + (-2)\/26 and ((7203\/(-105) - -8)\/(3\/(-5)))\/(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13240065 divided by -345?\nAnswer: -38377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 10 = 4*x - 0, -2*h = -3*x - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wcwwxxwwwwcxwcxxwwc. Give prob of sequence wxwx.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + 13. Let g = -44 - -44. Let c be -1 - ((5 - 5) + (-25 - g)). Are f and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 376 - 260. Let h = 24649 - 122667\/5. Let s = k - h. Which is greater: s or 0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1*sqrt(891) + sqrt(1100)*1)**2 + -5).\nAnswer: -15864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 172332757 or 172332756?\nAnswer: 172332756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -7*f**4\/24 - f**2 + 8. Let i(r) = 172*r. Determine c(i(p)).\nAnswer: -1204*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*r - 19254*r**2 - 157417*r**2 + 281*r - 136*r.\nAnswer: -176671*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187 + 6927 = 4*s. Suppose 3*c - 4*c = 0, -2*c - s = -5*n. Is n a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 847.4392 millennia?\nAnswer: 8474.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0.0534, 416, -0.02, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -80\/133683 and 53\/24306.\nAnswer: 267366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -983213*q + 1194173 wrt q?\nAnswer: -983213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(176))**2 + -4 - (sqrt(44)\/sqrt(4) + 4 + sqrt(44)\/(sqrt(12)\/sqrt(3))).\nAnswer: 14*sqrt(11) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (7 + 27 + -6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 48*x - 51*x - 5*c, -c - 14 = 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/4 - 345*n**2\/4 + 348*n - 349.\nAnswer: -(n - 2)**2*(n + 349)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5690 - 5686. What is the fourth biggest value in 2\/11, -0.4, 1, y, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/30 + (-1696)\/320.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -22*i**3 - 7*i**2 - 24*i + 4. Suppose g + 4*x - 5 = 0, 5*g = -x - 8 - 5. List the prime factors of k(g).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/2*20\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*p + 3*p**3 + p**2 + 720*p**4 - 723*p**4 - p**3 to the form o*p**4 + m + g*p**2 + h*p**3 + d*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 20*h**3 + 8*h**2 + 66*h + 38. Determine x(-5).\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 + 9. Let b = -14 + m. Let s = b + 29. Calculate the greatest common divisor of s and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/15 - 998*b\/15 - 1820.\nAnswer: 2*(b - 525)*(b + 26)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1023 > -424088\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1818 and 808.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5247769 to the power of 1\/2, to the nearest integer?\nAnswer: 2291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3c4d66 (base 15) in base 4?\nAnswer: -23010202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68398, 68399, 68400, 68401, 68402?\nAnswer: 68403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/7)\/c*c**30*(c*c**(1\/5))**(-29) assuming c is positive.\nAnswer: c**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/102 and 61\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 11, v: 4, c: 4}. What is prob of picking 2 i?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43415 and 1425?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o - 3. Let m be j(2). Suppose m*h = 2*v - 822, 0*v + 1234 = 3*v - 5*h. Suppose -3*c - v = -6*c. What is the greatest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*u**4 - 2340*u**3 - 26652*u**2 - 131040*u - 235200 = 0. What is u?\nAnswer: -10, -28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 3*y + 1. Let g be h(2). Which is the closest to 1\/4?  (a) 2  (b) g  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 194895 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 0.33  (c) 18  (d) -4  (e) -5  (f) -6\/7  (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Convert 6287.37 micrometers to millimeters.\nAnswer: 6.28737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 487\/28 - 69\/4. Sort 0, p, 4, 0.4 in ascending order.\nAnswer: 0, p, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-3) - (-10)\/3. Suppose j*w + 11 = 5. Let y(h) = -81*h + 1049. Let v be y(13). Sort 5, v, -3, w in descending order.\nAnswer: 5, w, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1651340819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -50*w + 330. Give s(-3).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n - 1 + 10 = 0. Let d(t) = 36*t - 12. Let y(f) = -f - 2. Let u(b) = n*d(b) - 24*y(b). Find the first derivative of u(p) wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 96*(-8)\/(-18) - 8\/(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42104 (base 6) to base 3.\nAnswer: 21202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3500 - 3549 + 2*i + i + (-3 + 4 - 3)*(-i - 3 + 3) - 2 - i + 2 + 4*i - 6*i + 4*i - 5*i - 3*i + 3*i to the form w + z*i and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/7, -2, -0.5, -1\/3, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**2. Let o(v) be the second derivative of -307*v**4\/4 - v**2 - 4715*v. Give c(o(y)).\nAnswer: -1696482*y**4 - 7368*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qfqqffffqk?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 11:42 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -b**5\/54 + 7*b**4\/27 + 4*b**3\/9 + 11*b**2\/2 + 7. Let t(l) be the second derivative of n(l). Suppose t(w) = 0. What is w?\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6872 + 6913. Calculate the smallest common multiple of 107 and r.\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 31*l**2 - 35404*l + 566723. Give g(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3111642 (base 9) to base 4.\nAnswer: -12111210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 12*t**2 + 4*t - 13. What is the hundreds digit of m(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -5*v. Suppose -g - 2*m + 6 = v, -1 = -g - m + 2. Is -3 + (g + 3 - -445) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 5*l - 16471, 4*d - 2*l - 8448 = 8026. List the prime factors of d.\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1125) + 1)**2.\nAnswer: 30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2817097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**2 - 5823*p - 5824 = 0.\nAnswer: -1, 5824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p\/(p\/((p*p**(4\/19))\/p)*p*p))*p)*p\/p**(3\/37)*(p**(3\/5)\/p)**(12\/7) assuming p is positive.\nAnswer: p**(-62897\/24605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -485*v - 1947. Let y be x(-4). Sort y, -2, -86, -4 in increasing order.\nAnswer: -86, y, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**2 + 21*w**3 - 3*w**3 + 5 + 2*w - 5*w**3 - 10*w**3 + 2 to the form u + k*w + t*w**3 + n*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 38 = 649*k - 671*k. Suppose -3*w + 5*o + 738 = 0, 4*w + 487 = 6*w - 5*o. Suppose -k*d - 4*q = -2353, -3*d - w = -5*q - 2622. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-13 - -17) + -2*2. Suppose -x + n = 1. Let h be (-1)\/x*(-44)\/(-4). Calculate the greatest common divisor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1685609.\nAnswer: 37, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 156.8 - 157. What is the biggest value in 6, p, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 4*r + 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3873.887um in millimeters?\nAnswer: 3.873887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 802233097 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 4*q + 62 = 59, -4*m = -5*q - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6.41 and 4.6853?\nAnswer: -30.032773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 4*a**3 - 8*a**2 + 2*a + 8 - 16 - a**3. Let b(j) = -8*j**3 + 23*j**2 - 7*j + 23. Let n(m) = 4*b(m) + 11*w(m). Calculate n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2461832 is divided by 426.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -28?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10 + (-3)\/(3\/1). Solve -b + 3*b = c + 6, 2*c + x = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*x**3 - 2 - x**3 - x**3 + 0*x**3 + (-4*x + x + 2*x)*(x**2 - 2*x**2 + 3*x**2) - 4*x**3 + 2*x**3 + x**3 + 346*x**3 - 939*x**3 - 1120*x**3.\nAnswer: -1720*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*l + 124*l + 20*l + 19*l - 202*l + 24*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -3, -3\/5, 9, 1, -0.23 in decreasing order.\nAnswer: 9, 1, 1\/3, -0.23, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 630539573.\nAnswer: 43, 691, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -454 - -3072. Does 154 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140) - 4*sqrt(140))\/(sqrt(20)*5).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tqee when four letters picked without replacement from fqffqtefffeffeff?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26357.506 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (80\/6)\/(2\/3)*-1. Let y = s + 103. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19678a5 (base 12) in base 4?\nAnswer: -110131120331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a + 4*f + 8 = -11*a, a = -3*f - 16. Let t(n) = -14*n - 29. What is the remainder when 483 is divided by t(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (-18 + 20 + 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 4*w - 64, -2*w + d + 47 = -0*w. Let x be 1\/(-3) - 98\/w. Is ((-468)\/60)\/(1\/x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 643 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1466, -5196, -11082, -19124, -29322?\nAnswer: -41676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29, -61, -419, -1177, -2467, -4421?\n\"Answer: -22*z**3 - 2*z**2 + 70*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81301\/8196 - 2\/683. Let l = -8999\/8 + 1131. Find the common denominator of m and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14510 - -13?\nAnswer: -14486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1692, -3459, -5406, -7533, -9840, -12327, -14994?\nAnswer: -17841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -3*s**2 + 3*s + 3. Let l be o(-8). Suppose 9 + l = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of o**4\/4 - 5*o**3\/3 + 5*o - 43. What is x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -116*r**3. Let n(l) = -115*l**3. What is 4*n(y) - 3*z(y)?\nAnswer: -112*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 321604008 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {e: 1, t: 3, r: 8, v: 1, x: 2, a: 1}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29.36 - -1335.64. Let p = -1358.645 + c. What is p rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 2*y = -16, 3*k - 3 = 4*y + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, -17, 17, 16.\nAnswer: -17, -8, 0, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(165)\/sqrt(5))\/(sqrt(18)\/sqrt(600)).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0121923476 rounded to five dps?\nAnswer: -0.01219","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**(-12)*p))\/(p\/p**(-1\/17)))\/(p**(1\/5))**(3\/28) assuming p is positive.\nAnswer: p**(-33511\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4269011193 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -48, -100, -174, -276, -412, -588, -810?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**2\/7 - 26*k\/7 - 1656\/7 = 0.\nAnswer: -23, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*(c\/(c*c**(3\/17)*c))\/c)*c*c**(-18)\/c)\/(c*(c**(-1\/3)\/c)\/c)**(17\/4) assuming c is positive.\nAnswer: c**(-518\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l - 4*l + 3*l)*(-l - 9*l - 7*l) in the form q + w*l**2 + o*l and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4767329, -9534658, -14301987, -19069316, -23836645?\n\"Answer: -4767329*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139826 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from khkfkrvkrkrrk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24182.\nAnswer: 2, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1300 + -2?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7691, 14589, 21485, 28379, 35271?\nAnswer: 42161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/17, 0.5, 72970\/69?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1449148, 2897081, 4345014, 5792947?\nAnswer: 7240880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -3*c - 96, -2*c = 3*l - 0*l - 310. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129091752 to the nearest integer?\nAnswer: 11362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 43 = 55. Calculate the least common multiple of 258 and b.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9239.462 micrograms in tonnes?\nAnswer: 0.000000009239462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-45000063.\nAnswer: 45000063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 + 25 + 2*n**2 - 56)*(4 + 1 + 9)*(2*n - 3*n + 2*n).\nAnswer: 28*n**3 - 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2)*(2 - 2). Let k(u) = 3*u**2 + 3*u. Let y be k(4). Suppose -y = -5*b - t*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p - 4*p - 2*p + (-44 + 61 - 60)*(-p + p - p) as k*p + g and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1022*(-4)\/(-168) - 23)\/((-2)\/(-144))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 15. Suppose -6 = -4*v + d. Let n be (4 - v)\/1*-1. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -226, -345, -470?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, j: 1, g: 1, x: 1, h: 2, p: 3}. What is prob of picking 1 h and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 23, -17, -69, -121, -161, -177?\n\"Answer: 2*t**3 - 18*t**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**2 - 4*i**2 - 2*i**2)*(0 + i + 0) + 2*i**2 - 2*i**2 - 2*i**3 + 10*i**3 - 4 + 0 + 6.\nAnswer: 6*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3012569, 3012580, 3012591, 3012602?\n\"Answer: 11*n + 3012558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v - 9. Let a be w(11). Let n(b) = -a - 2*b + 13. Give n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 11*x**2. Let p(t) = -1 - 5 - 5*t**2 + 6. What is p(s(z))?\nAnswer: -605*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.2, -3, -6 in increasing order.\nAnswer: -6, -3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -3393, 5.\nAnswer: -3393, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 992061078 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 2*j**5 - 18*j**4 - 16*j**3 + 600*j**2 - 1984*j + 1920 = 0.\nAnswer: -6, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 31465, 31369, 31213, 30997?\n\"Answer: -30*b**2 - 6*b + 31501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**7\/1260 + y**6\/540 - y**3\/3 + y. Let u(c) be the second derivative of o(c). What is i in u(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44117?\nAnswer: 157, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + 14*j - 9. Determine n(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1 - (-107 - -99)) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15478 + -15478.7. What is the closest to 1\/7 in 2, 4\/5, b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 times -9.854\nAnswer: -1.57664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 876*s - 527. What is g(0)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/((-80)\/28) + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -102.5 + 102. Which is the closest to -3?  (a) 4  (b) m  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(175)*1 + -4 + 0 + sqrt(175) + -5*(1 + sqrt(847))*-1*3)**2.\nAnswer: 3190*sqrt(7) + 147296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/46920 and -157\/167670.\nAnswer: 11401560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06 + 0.44. Let i = o + -0.3. Which is the second biggest value?  (a) i  (b) -3\/4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**3 + 245*n**2 - 2676*n - 128. What is p(47)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001284062 to 5 dps.\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = 2*m - 18*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express ((18 - 18 - 11*y)*(0 - 3 + 1) + y + 0 + 0)*(-3 - 18 + 3 - 3 + 0 + 0 + (-3 + 5 - 1)*(4 - 5 + 3) - 2 + 2 + 1) in the form h*y + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 583 + -444. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61943.2222 + -7.5\nAnswer: -61950.7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147*-4.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-15)\/10 + 2). Suppose 5*h + 5*t = 420, -80 - 177 = -3*h - o*t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o - 6 + 2*o**2 + 582*o**3 + 127*o**3 + 12 - 2*o as v*o**3 + q*o + g + c*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 123828608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15 - 12 - (14 + -1). Let p be ((-135)\/q)\/((-9)\/24). What are the prime factors of ((-22)\/(-6))\/((-2)\/p)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -161 + 162. Is j\/(-2)*(13659 - 10)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 49 = -13*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -1411313432?\nAnswer: -1411313433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 351082?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-264)*-40*36*8\/160?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) - (sqrt(132) - (sqrt(132) - sqrt(132)*4)*1))\/(sqrt(240)\/sqrt(5) - sqrt(9)\/sqrt(3)*2)*-4.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -p**3 + 7*p**2\/2 + 3. Find the second derivative of d(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56 - 82. Let z = 384 + -162. Calculate the remainder when 58 is divided by a\/143 - z\/(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (7 + -6 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -586*z**3 - 12720*z**2 - 2 + 2*z + 12720*z**2 - 3*z to w*z + x*z**3 + t + k*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m + m**2 + (2*m - 2*m**2 - 2*m)*(1 - 2 + 0) + 0 + m**2 + 0 + m - m - m**2 + 2*m**2 - m**2 - 3*m**2 + 3*m**2 + m**2 - 3*m**2)*(2*m - 4*m - m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**2 - 101*k + 101*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**2 - d - 2. Let y be f(2). Let s = 0.004 + -0.104. Which is the smallest value?  (a) -3  (b) s  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 * -112\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 3, 98?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 3 + 2. Which is the nearest to l?  (a) -22  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24*(-4)\/(-624)*(-2366)\/(-28)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -1 + 5*w + 6 + 5*w + 62*w**2 - 63*w**2. Let f be x(10). Suppose f*c = -72 + 342. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29889 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3 - 2 = -2*t, -3*s + t = 4. Let l(d) be the second derivative of -1\/2*d**2 - 12*d + 0. Let g(i) = -3*i**2 + 5. Give s*g(a) - 6*l(a).\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38348960 by -5.\nAnswer: -7669792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -311858*u*w + 1799612*w wrt u?\nAnswer: -311858*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123908 + 242569. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*i - i. Let q be (-5)\/((4 - 2) + -3). Suppose i*v + q = 3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 389069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/60*(-66)\/(-4)*36\/(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12c76 + -703?\nAnswer: -13679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 3  (c) 0.2  (d) -298460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 176353 and 0.03.\nAnswer: 5290.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -476*s**5 - 2256*s + 4*s**3 + 1140*s + 4 - 4*s**3 + 1217*s wrt s.\nAnswer: -9520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 50 = -7*o. What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24196 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6740 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.045623804 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -432*c - 391*c = 90*c - 64823 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 3*q + 13*q - 2 + 2*q + 2 + 0*q + q + 0*q + (2 + 1 - 2)*(-5*q + 6*q + 0*q) - 2 + 2 - q - 4 + 4 + q - 2*q + 0*q + q)*(7*q**3 - 6*q**2 + 6*q**2).\nAnswer: 112*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36 + 1b?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 51*b**2 + 61*b**3 + 54*b**3 - 127*b**3 - 636*b**2 - 981*b + 282 = 0.\nAnswer: -47, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14\/(-10) + (-666)\/(-90). What is the hundreds digit of 1 + 78*4 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -410 times -14.5\nAnswer: 5945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u**4 + 8 - 210 - 5*u**4 + u**3 + u**3 - 293 to the form g*u + c*u**2 + z*u**3 + p + i*u**4 and give p.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - (-9)\/(-6))*-4. Let u = -4 - -3. What is the units digit of -4*a\/4*u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*x + 15, -3*r = r + x + 3. Let t = r - 5. Let u(b) = -6*b**2 - b**3 + 2 + b**2 - 6*b + b**2 - 2*b**2. Determine u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(171) + sqrt(171)*-3 + sqrt(171)) - sqrt(171) - sqrt(171)) + sqrt(171))\/sqrt(9) + -1.\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -29 - 7. Suppose 4*b = 3*x + 15784, -a*x = -x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 11:07 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5712 and 15?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5373720, -10747411, -16121102?\n\"Answer: -5373691*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11221087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 16*c - 34. What is m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c**2 - 4*c + 3*c**2 + 2*c**2 - c**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -3. Suppose -l + q = -2. Solve 0 = -4*h - l*c + 11, 2*c = 3*h - 5*h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -8\/3*f**3 + 0*f**2 - 25*f + 0. Let v(b) be the third derivative of b**5\/60 - 22*b**2. What is c(v(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g + 9. Let w(n) = n + 4. Let j = 4 + 3. Give j*w(k) - 3*i(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 6:48 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*q**2 - 8 + 8 + q**2 + q**2 - 5*q**2 + (-3*q + q - 9*q)*(-4*q + 0*q + 3*q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-84)*(-21)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4860)\/(-1800))\/((-9)\/(-60))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 186\/(-8)*((-44)\/(-33))\/(35\/(-105)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a factor of 93643726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49 by -1070.\nAnswer: 49\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 7*y + 4. Let p be b(8). Let a = p - -24. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 346*i**2 - 264*i - 5*i**2 + 264*i as d + s*i**2 + y*i and give s.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(117)*-1 - sqrt(117))*-1 + (2*(sqrt(117) - sqrt(117)*2) - sqrt(117)))\/(sqrt(576) + (sqrt(576) - 3*sqrt(576)*-3) - sqrt(576)))**2.\nAnswer: 13\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -7710.\nAnswer: -11\/3855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 831 and 72607517.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(343) + -2)*3 + -2)**2.\nAnswer: 294*sqrt(7) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.4784110912896 and 1?\nAnswer: 1.4784110912896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 5*x = -5, 2*z - 12 = -x + 1. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2258824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*u + 2*u - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -5*f**2 - 6725*f + 40554. Give i(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3793*t. Let p(s) = 10*s**2 + 36. What is k(p(m))?\nAnswer: 37930*m**2 + 136548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-10))\/((-11)\/(-330)). Let t(r) = r**2 + 9*r + 1. Is t(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**(-10)*(t**0)**38*((t**(-1)\/t*t*t)**36)**41 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + f - 1. Let z(x) = -4*x**2 - 11*x - 5. Let c(a) = 3*r(a) + z(a). Let w(u) = -4*u + 2. Let h be w(2). What is c(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, m: 2, b: 3, n: 5}. What is prob of sequence no?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35847 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 250766 (base 8) to base 7\nAnswer: 510145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f = -13*f - 4*b - 2026, 0 = -3*f + 2*b + 6058. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -4  (b) 2  (c) -1  (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of h**6\/120 - h**5\/12 - 3*h**4\/8 + 3*h**3\/2 + 33*h**2. Calculate x(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 617120 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c + 3. Let n be r(-2). Let s = 2 - 0. Let m be n\/s + (-43599998)\/(-4). What is m rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 975 and 12028419?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 350755 + -350752.00009. Let o = -0.03 - -3.03. Let f = h - o. Round f to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1124027765 - 1124027664.9999986. Let y = -100 + w. What is y rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 355*k. Let t(l) = -14*l - 63. Let y(a) = -12*a - 56. Let g(o) = -8*t(o) + 9*y(o). Determine j(g(s)).\nAnswer: 1420*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 - -668. Let r = -87 - -175. Suppose p = 10*o - r. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*s**3\/3 + 100*s**2\/3 + 91*s\/2 + 33\/2.\nAnswer: (s + 11)*(4*s + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 6 + 36 - 35 - 1462*g**2.\nAnswer: -1462*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4566 + 1?\nAnswer: -4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/21519961 and -38\/406037.\nAnswer: 21519961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 473387 * 13\nAnswer: 6154031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*g + 35 = 70*g. Solve -15 = -2*s - v, -g*v = -4*s - 2*v - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -477.8?\nAnswer: 477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4864.378 nanometers to micrometers.\nAnswer: 4.864378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22477 and 29127?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230815497?\nAnswer: 3, 11, 6994409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -97917b (base 12) to base 7.\nAnswer: -26255225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*z = -29*z - 36. Let w be z\/(-30) + 14\/35. Is w at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -991436 divided by 4.\nAnswer: -247859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 0.1. Let a = s + -0.9. Let g be (0 - -1)\/(2\/(-10)). What is the closest to 1 in a, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 828106?\nAnswer: 2, 414053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*4*-1*sqrt(875))\/(sqrt(180)*-1*-6 + ((sqrt(180) + (-1*sqrt(180) - sqrt(180)))*-1 - sqrt(180))).\nAnswer: -20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 15 = 3*v, -58*l + 63*l = 15. Let j(s) = s + 3 - 22*s - 1 - v. Let m(i) = i + 1. Let r(k) = -5*k - 2. Let h(b) = -2*m(b) - r(b). Give h(j(p)).\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/132*-11*(-24)\/(-1). Let v be 1442\/5 - 6\/15. Calculate the greatest common factor of v and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1587 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -225 + -1112?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 8*g + 140. Let y be f(-17). Solve 0 = y*h + 1 - 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 491, 1274, 2567, 4484, 7139?\nAnswer: 10646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 3*t - 6, 0*q + 2*t - 12 = -2*q. Let d(k) = -2*k**q + 2*k**3 - 3 + 0 + 2 - 3*k**3. Calculate d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -96201*z**5 - z**3 + 49*z**2 + 2371494*z wrt z.\nAnswer: -1924020*z**3 - 6*z + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.04842 - 8.04842. What is the closest to i in 1\/3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49 + 57. Let x be -1 + (2 - -11) + -1. Let m = -1 + x. What is the smallest common multiple of l and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r + 3. Let y be ((-2)\/4)\/((-6)\/(-144)). Let f = y + 7. What is the units digit of m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 15 - 3. Suppose -j - a = -25. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, -2\/3, -1\/885?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4057 (base 12) in base 6?\nAnswer: 52151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 5\/2, 1, 1\/5, 3, 119 in descending order.\nAnswer: 119, 3, 5\/2, 1, 1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*v. Suppose 0 = 2*q + s + 3, 0 = -v*q - 3*q - 5*s + 13. Let w be -4 - 0*q\/(24\/2). Let i(b) = -3*b - 5. Calculate i(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -11*f**2 + 22*f + 11. Let o(l) = -69472 + 25*l + 69468 - 64*l + 32*l + 4*l**2. Determine -17*o(h) - 6*v(h).\nAnswer: -2*h**2 - 13*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*((4 - 4) + 1). Let u be 0 + (-9 - (-5 - b)). Sort 0, 34, 3, u.\nAnswer: u, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 45\/35)\/(175\/10 + -18).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2 + 25348*x + 1938000.\nAnswer: -2*(x - 12750)*(x + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 24 - 104. Let o = -101 + r. Let p = o - -152. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151796539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 1)\/((-1)\/8). Let l(i) = 4*i + 25. Let v be l(-10). Let j = v + 18. Solve 0 = -j*t + k + 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20.4046 - -8.5954. Let q(w) = 2*w + 1. Let u be q(-3). Sort 1, -1, u, r.\nAnswer: u, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert -2a0249b (base 12) to base 2.\nAnswer: -100000010010100000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-43212)\/(-4)*((-87)\/(-9) + -9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -993 * -0.457\nAnswer: 453.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -1, -8, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*m + 544, 281 = -2*g + 5*m - 0*m. What is the units digit of (g\/28)\/(2\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (0\/(-3) + -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(-4))\/((-13)\/(-312)*-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 3*q - 8*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhjhghgj. Give prob of picking 2 h, 1 g, and 1 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 340\/357*9\/(-15).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)\/x**4*x*x\/(x*x**(-2\/3))*(x\/(x**(-5)*x))\/x)**30 assuming x is positive.\nAnswer: x**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/5  (b) -0.5  (c) 5\/4  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 357.0000391 - 357. Round a to six decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -92996 divided by 1787\nAnswer: -92996\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + i - 5. Suppose -52887*w + 52834*w + 9646 = 0. Calculate the remainder when w is divided by q(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47 - -81. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203 = -28*m - 14*m - 91 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 16 = -6. What are the prime factors of ((-392)\/(-6) + z)\/((-10)\/(-120))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of d**2 + 28*d + 27. Calculate the remainder when 24 is divided by p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 3*g + 54 = 0. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 + 2996630*r - 77915760.\nAnswer: 5*(r - 26)*(r + 599352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 26*x - 30840 = -28*x, 9*h - 55512 = 4*x. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6401 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 1 - (11 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 4*u)*((-2*u + 4*u - u)*(3 - 4 + 0) + 7 - 4*u - 7 + u - 5*u - 6*u).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-12)\/21 + (-30)\/(-420))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, t: 18}. What is prob of sequence et?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + 2*f + 4. Let w be 4 + 3*-14*1. Let n = 46 + w. Let s be r(n). Calculate the greatest common divisor of 28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 195*z - 190*z - 10, -3*m = z - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/52)\/u)**(-1\/42))**(-33) assuming u is positive.\nAnswer: u**(-561\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*l = 3*r - 7*r - 140, -l - 9 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -85, 0.5, -76 in descending order.\nAnswer: 0.5, -76, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 131\/3110 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.08  (b) -6  (c) 2\/683  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30492725785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11011 - 12102011?\nAnswer: -12021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 18*w - 48. Let n be h(-14). Suppose 58 + 48 = 39*j - 50. Which is bigger: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3366 + -3342. Solve 0 = -17*i + r - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y. Let t(p) = -3*p**3 + 9*p + 1. Let d(j) = -18*n(j) - 2*t(j). What is the derivative of d(u) wrt u?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(5\/3))\/(w**(1\/16)*w) assuming w is positive.\nAnswer: w**(-83\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 66*v**2. Let d(a) = 2*a. What is k(d(o))?\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -9811529 greater than or equal to -39246115\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -684521.887 - 17\nAnswer: -684538.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.22 + -1.22. Let b = 39 - -3. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 277*f**3\/3 + 5257*f**2\/3 + 1624*f - 36.\nAnswer: (f + 1)*(f + 18)*(277*f - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -49*c**6 - 25*c**5 + 30*c**4 - 2644774*c**2 wrt c.\nAnswer: -5880*c**3 - 1500*c**2 + 720*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/19*o**2 + 92\/19*o.\nAnswer: 2*o*(o + 46)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -5140, 283 in descending order.\nAnswer: 283, 2\/7, -5140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 7*i. Let p(y) be the first derivative of 0*y + 8 + 0*y**2 + 1\/3*y**3. Calculate h(p(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4524 and 1819267788?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2610 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29336970 and 2730?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d - 46 = -620. Suppose g - d + 24 = 0. What is the highest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8680407 (base 10) to base 8.\nAnswer: -41071727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-295)\/(-10) - (18\/4)\/(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/5 + 5396*p**2\/5 + 9382197*p\/5 + 5166555318\/5.\nAnswer: (p + 1142)*(p + 2127)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -427\/4 less than 6\/6203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -6. What are the prime factors of t + (-28*1)\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13736, -54955, -123644, -219797, -343408?\nAnswer: -494471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 45, -1\/3, 1\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2 - 4 + (4 - 3 + 3)*(-1 + 8 - 2) + (-1 + 0 - 1)*(-3 - 2 + 6))*(2*r**2 - 9 + 9) to the form g*r**2 + a*r + j and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/4 + 4629*y**2\/4 - 7142547*y\/4 + 3673650007\/4 = 0. What is y?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -u + 1518, 4*a + 1522 = 2*u - u. Suppose 0 = -3*q - 222 + u. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189924000 rounded to the nearest one million?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 - -42. Suppose 765 = l + 4*l. What is the greatest common factor of s and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4114 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.3?  (a) -4  (b) -2  (c) 4\/5  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 187*k - 66*k - 62*k - 18 - 46*k. Let q(h) = -h. What is a(q(t))?\nAnswer: -13*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-1 + (-2)\/(-4)). Suppose -g - 3*u = 6, t*g - 3*g - 12 = 3*u. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 12*c**2 + 14*c + 19. Let f be b(11). Suppose -244 = -5*d + 3*m + f, 4*d - 3*m = 238. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in -0.05, 2.33, -15.48?\nAnswer: -15.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000097144 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -480 - -621. Let g be 3 - (3 + -1)*-1. Suppose 0 = -a + g*b + c, 5*a - 5*b - 485 - 180 = 0. Is a 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 3, 2890, -3, -6, -10, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7768 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5902 - 5902.05. Which is the smallest value?  (a) 12  (b) -7\/6  (c) g  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -9. Let v(x) = 4*x - 4. Let z(j) = 3*j - 3. Let i(l) = q*z(l) - 4*v(l). Suppose -2*s - 9 = -3*h, -60 = 4*s - 4*h - 56. Calculate i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s + 1. Let g(x) = -12*x + 9. Let q(h) = -9*d(h) + g(h). Calculate q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 85*t**2 - 87*t + 81. Calculate c(86).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2 + 0 + 3 - 14*k. Suppose v + 35 = -4*q - 9, 0 = q + v + 11. Is x(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**6\/30 + u**5\/5 + 5*u**4\/12 + u + 8. Factor i(d).\nAnswer: -d**2*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16063*m**5 + m**4 + 53562*m**2 - 2 wrt m.\nAnswer: 963780*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -227*u**2 - u + 2. Give g(-1).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2390848*h + 2390483*h + 52560 for h.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -67*u**2 - 841*u - 2949701 wrt u.\nAnswer: -134*u - 841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/(-21))\/((-2)\/28*-2). Let t(n) = 8 - 20*n**b - 3 - 3*n - 1 - 6. Let z be t(-1). What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hszhhetzhhtzzzhq. Give prob of picking 1 q and 1 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 26*x**2 + 3*x. Let h(c) = 27*c**2 + 4*c. What is -4*d(y) + 3*h(y)?\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447*x + 1518 = 470*x. What is the remainder when x is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 6. Suppose 3*w = -m + 11. Suppose w*z + z = -4, 5*z = b - 25. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92053 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4674120.6 and -6.\nAnswer: -28044723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3141409407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 2\/13, 1895, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2244*f - 9185. Does 14 divide a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70891861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1118, -3, 5, 92, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of i**8\/1344 + i**6\/360 - 3*i**4\/4 - 13*i. Let o(v) be the third derivative of z(v). Find the second derivative of o(w) wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, u: 5, j: 9, f: 2, s: 1}. What is prob of picking 1 s, 1 u, and 1 j?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95.34 - 90.34. What is the second smallest value in 4\/23, -1\/8, z?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 368.027, -2, -0.05, 0.3, 4 in descending order.\nAnswer: 368.027, 4, 0.3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/6285 and -8\/370815.\nAnswer: 370815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 4\/(-4 - -3)*(-5490)\/5612?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-12))\/(77\/(-44)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*p - 81 = -i, 0 = p - 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4308 and 3000.\nAnswer: 1077000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -7*r + 49. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6573\/8 - 822. Which is the closest to 0?  (a) -3\/5  (b) -35  (c) -4  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -97*n - 48?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 157*i**3 + 64*i**2 - 64*i**2.\nAnswer: 157*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 557*i + 6816 = -13236 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.0329 rounded to one dp?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -24, -203 in decreasing order.\nAnswer: -1, -5, -24, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 27087871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52 - -22. Let z be ((-12)\/w)\/((-1)\/60*-2). Suppose -z*u + 15 = -11*u. Calculate the greatest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3270*t - 391. What is the tens digit of y(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -r - i, 2*r + 78*i + 972 = 30*i - 90*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 26*k. Let c(f) = -2 - 9 + 11 + 2*f. Calculate c(m(h)).\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 9*n**2 + 7*n + 18. Let g be s(-6). Let c = 20 + g. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 q when four letters picked without replacement from {a: 2, e: 2, q: 6, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -35851*b**2 + 5*b + 26. Let u be g(-11). What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 7*i**2 + 5*i - 8. Let t be h(7). Let s = t + -19. Suppose -s = -5*u + u. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.1 - -1.1. Let w = -22254 - -22255. Which is the closest to -0.3?  (a) 2\/33  (b) w  (c) -6  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 8, 13 = 3*y + 3*q + 2*q. Let n be y\/(-3) - 10\/6. Does 7 divide n - (-2)\/((-4)\/(-50))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, u: 10}. What is prob of sequence puup?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 3. Let c = 369.857 - 385.857. What is the closest to v in -1, c, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 6 = 0, -40*i + 39*i = 3*l - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -41709 - 320341.462.\nAnswer: -362050.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184476 is divided by 1048.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 50 = -5*f, x - 2*f = 3*f + 10. Let v(c) = -c**3 + 14*c**2 + 16*c - 20. Let p be v(x). Put 1, 0.4, p in decreasing order.\nAnswer: 1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v + 53 - 16 - 5 - 7 + 66 to x + g*v and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/7))**(-3\/26) assuming c is positive.\nAnswer: c**(3\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 16*l**2 - 67*l**2 - 7*l**2.\nAnswer: -58*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18 - (-5 + -4)) + 22 - 12) + 12 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 1. Let y(z) = -3*z - 8. Let p(s) = 4*n(s) + y(s). Let j(a) be the third derivative of -a**4\/24 + a**3 - 7*a**2. Calculate -5*j(i) - 8*p(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l. Let r(s) = -23*s**2 - 21. Calculate r(v(i)).\nAnswer: -23*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y - 2. Suppose -5*l = -c - 18, -3*l + 10 = 4*c - 10. Let k be ((-2)\/(-5))\/(3\/90). Suppose l*h + 0*h = k. Calculate f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 83. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 19 - 19*n + 18)*(5*n - 3*n - 3*n)*(2*n + 3 + 1 - 3).\nAnswer: 32*n**3 + 18*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1500553 (base 7) to base 15.\nAnswer: 3ec97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0.02, 5, 35, -67\/3 in descending order.\nAnswer: 35, 5, 0.02, -0.3, -67\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2848*z + 5982. Determine n(2).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzkz when four letters picked without replacement from ykyzyryrzykyyyr.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -5\/9  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 14 = w - 4*j, 130 = -3*w - 5*j. Let h be 72\/15 + 28\/w. Solve 5*i = -h*l - 20, l + 3*l = -20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of w**4\/8 - 5*w**3\/6 - 15*w**2. Let u = 31 - 26. Let f(o) = 7*o - 11. What is u*m(g) - 2*f(g)?\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jnnjnfjjyjjnjjynnjjz. Give prob of picking 1 z and 1 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 63564.65m in nanometers?\nAnswer: 63564650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -136*x - 4. Let b be i(-3). Suppose -4*c + 3*p = -b, -5*p = c - 0*p - 101. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 9 = -2*p, 2*p + 12 = p - 5*g. Let l = p + -7. Let x be (3\/(-6))\/(-4*4\/(-160)). Sort l, 2, x in decreasing order.\nAnswer: 2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 647808*m**3 + 7231*m**2 + 47*m wrt m?\nAnswer: 3886848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-32)\/(-6) - (-3)\/(-9). Suppose -3*w + 50 = 2*y, t*y + 5*w - 98 = y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*b - 39*b = -3*o + 132, 127 = 3*b + 2*o. What is the remainder when 1025 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3213315 (base 6) to base 2.\nAnswer: 100110011110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -5*f - 2. Let d be g(3). Let q = -62 - -107. Let w = d + q. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 16. Let u(s) = -5*s**k + 4 + 66*s + 4*s**3 - 5*s**3 - 59*s + s**2. What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101330 + 0?\nAnswer: -101330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(-30) - 9\/((-90)\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45787778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34669727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-138 - 105) + 233 + (1 - 1) + -23.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17848611 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, y: 6}. Give prob of sequence yyyb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 930116101?\nAnswer: 19, 29, 37, 43, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h**(-2)*h)\/h)*h)**13)**(-36)\/((h**7*h)\/(h**(1\/3)*h)*h**4\/h**(-1)) assuming h is positive.\nAnswer: h**(-4247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (67 - 33 + 2 - 3*m)*(2*m - 4 + 6 + 0*m) to o + p*m + q*m**2 and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 308 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from wwwwjwwjjwwwwjjwwjj?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 7\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-27)*(2 + 21\/(-12)). Which is the smallest value?  (a) -3  (b) 4\/5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-5) - (1469\/(-65) + -9). Suppose 0 = -40*s + u*s. Suppose 16 = 2*r + 2. Solve -r*a + 2*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6777 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b**2 - 6*b - 39. Let c be z(-7). Let j = 559 + c. List the prime factors of j.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 2*f + 92. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*n = 0. Suppose f + n*f - 1 = 0. Suppose 0 = -20*x - 55 + 15. Put 0, x, f in ascending order.\nAnswer: x, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(6\/13))**30\/((r*r\/(r*r**(-1\/2))*r*r)\/r*r)**(2\/89) assuming r is positive.\nAnswer: r**(15929\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 6*d + 94. Let p be i(-8). Let m = p - 43. Solve -10 - 5 = m*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2 = -1. Which is the second smallest value?  (a) -0.1  (b) t  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 8:00 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**3 - 10*z**2 - 12*z + 48. Give q(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 3, 2, -1\/3, -1.18, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w, 6*x = -w - 16 + 34 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8224 + 11*a**3 - 8224 - 2*a**3 - 6*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 111 = 5*f + 23, p + 4 = 0. Calculate the smallest common multiple of f and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 18*v**2 + 20*v - 41. Determine s(-19).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19670041 is divided by 28100?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5799999 = -2*o - f, -4*f = -4. Suppose -6*k - o = -k. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-4) - ((-5316)\/(9\/(-3)))\/((-10704)\/(-669))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5379346)\/(-61) + 1*-17 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-5))\/(-3 - (-17)\/5). Let v(n) be the second derivative of -n**5\/20 - n**4\/6 + n**3\/2 + n**2\/2 - 43*n. What is v(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-220)\/77*(-42)\/4. Let p be 56\/s - (5 + (-58)\/10). Suppose -4\/3*g**4 - 4\/3*g**2 + p*g**3 + 0 + 0*g = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/7770 and 133\/130874550?\nAnswer: 916121850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -168*j**3 + j**2 + j + 1. What is the remainder when b(-1) is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, -1, 174 in descending order.\nAnswer: 174, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and -6 - 600\/(-42) - 4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j + 3*v = -150, -26 = -602*v + 589*v for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1091094\/42)\/19 + 4\/(-14).\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2\/2 + 866509*v - 5199045\/2 = 0. Calculate v.\nAnswer: 3, 1733015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 8324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*b - 202 + 546, -3*n = 0. Let p = 177 - b. Sort 61, 0, p in decreasing order.\nAnswer: 61, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.09, -236, -3\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 4*b + 18 = 2*x, b - 13 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - (3 - -10))*-1. Let l = p - 9. Solve 23 = l*q - 4*c - 12, -q - 2 = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 324487184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 - 1841 + 7307 - 1835 - 1799 - 1832 - 5*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -6 - -4 - (35 - (57 + -23))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 38*j**2 + 381*j + 1. Determine v(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = 5. Let z = w + 4. Let b be 5\/(-15) + 13\/z. Solve 0 = -4*v - b - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.03 + 0.77. Let o = q + -1.1. Let g = o - 0.1. Which is the nearest to 0.1?  (a) g  (b) 0.1  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -4\/11, -1.1, 16 in ascending order.\nAnswer: -41, -1.1, -4\/11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + -7. Let k be -7*-3*(-40)\/(-84). What is the least common multiple of 2\/k - 236\/(-20) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (279\/248)\/(15\/(-520)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360 is divided by 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 2  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*g + 2306 = 42*g + 6371 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/4 + 506*g - 10145\/4 = 0. Calculate g.\nAnswer: -2029, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 1\/4793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2c17534 - 2?\nAnswer: -2c17536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 + 7*o + 8. Suppose 3*q = -5*s + 4*q - 27, -3*s - 5*q = 5. Let y be x(s). Does 19 divide -5 + 7 - 176\/y - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -33*z**4 - 4 - 47*z**4 - 42*z**4 - 54*z + 118*z**3 - 64*z + 126*z**2 = 0.\nAnswer: -1, -2\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109784 is divided by 458?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 43148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/30*((-6)\/10)\/((-51)\/(-15))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-1)*5\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -56*q**2 - 2*q. Let x(m) = -53*m. Give x(c(t)).\nAnswer: 2968*t**2 + 106*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30964, -62261, -93560, -124861, -156164, -187469, -218776?\nAnswer: -250085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**9\/672 + v**8\/560 + v**7\/560 - 2*v**3\/3 - 2. Let c(g) be the third derivative of z(g). Find y, given that c(y) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1719 + -926. Suppose 5*b + 4*u = 1333, 5*u = -3*b + 6*u + p. List the prime factors of b.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*o + 709 + 281. Let b be o\/99*1\/((-1)\/30). Let w(d) = -d**2 - 2*d - 1. Let l be w(-1). Solve 2*q - b = -l*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 + 20 - 44 - 62*k**3.\nAnswer: -62*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 = 27*g + 680 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -31. Suppose -5*h = 5*c - 3210, 0 = 2*h - 3*c - 308 - 991. Suppose h = y*j - 889. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.5 - 2.51. Let y = 5.31 + n. Let m = y + -4.299962. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000987828 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4063.\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -5. Let t = -2\/2243 - 11183\/35888. Let n = t + -1\/16. Sort n, -1, a.\nAnswer: -1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = -h. Let f = 76 - 36. Suppose f = -n - 3*n. What is the common denominator of n and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 + 9565*z**2 - 21503*z + 4778.\nAnswer: -(z - 2389)*(z - 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4193 and 5439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.013642675 + 15662.2?\nAnswer: 15660.186357325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*y + 15*y + 2*y + (0 - 19 + 33)*(-4*y + 6*y - 17*y) in the form u + s*y and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60127772?\nAnswer: 2, 15031943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1.5 - -129\nAnswer: 130.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525234306?\nAnswer: 2, 3, 47, 67, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -37 + 12*i - 10*i + 37 - 3*i. Let v(l) = l**2 + 1. Let j(r) = -2*r**2 + 6*r - 4. Let a(w) = -j(w) - 3*v(w). Give 2*a(d) - 14*s(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/9 - 2*a**2 + 464*a\/9 + 160\/3.\nAnswer: -2*(a - 12)*(a + 1)*(a + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 14*m - 16 = 0. Solve 0 = 3*y - m*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -218*f - 15. Let s be l(-3). Let u = 1088 - s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 - 3*r - 3*r**2 - 3*r + 5*r. Let u be ((-3)\/(-1) - 2)\/1. Give b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 9*g + 2957. Let z(y) = 2*y. Give z(d(l)).\nAnswer: 18*l + 5914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0614096241 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**4\/8 - 11*a**3\/3 - 9*a**2. Let j be p(8). Solve n + 5 = y, 0 = 3*n - 4*y + j*y + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*w - 188 = -7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 858 and 218556.\nAnswer: 2404116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -g**5\/15 - g**2. Let n(v) = -20*v + 44. Let k(b) = b - 2. Let f(l) = 44*k(l) + 2*n(l). Calculate i(f(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + ((-18)\/(-2))\/3. Suppose 0 = -f*w + 186 - 21. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 140 - 126. Suppose -h = -6*f + 22. Solve 24 = -3*m + 5*p, -m - 5*p + f = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -514*h + 5946. What is f(11)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -1164*z - 10472. Let u be i(-9). Solve -u*o + 2 = f, 0 = -f - 6*o + 4*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10209d (base 16) to base 13\nAnswer: 2b00cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113315130*u + 56657544*u - 30*u**2 + 56657586*u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -451 and -451 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -189 divided by 9\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) 0  (c) 1\/11040  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144922472 is divided by 4528827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243204322 (base 6) to base 9.\nAnswer: 8644615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z**3 - 7*z**2 + z. Let k(u) be the second derivative of 3*u**5\/20 - u**4\/4 + u. Let g = -4 - -9. Let d(j) = g*k(j) - 2*t(j). Factor d(f).\nAnswer: f*(f - 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -199419339*t + 209254612 wrt t.\nAnswer: -199419339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 10, 5, -159, -1, 7 in descending order.\nAnswer: 10, 7, 5, -1, -25, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 78.99 - 127.858. Let z = o - 0.132. Which is the biggest value?  (a) z  (b) 2\/5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**2 + 9*h**3 - 9*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(108) + (sqrt(27)*1)**2 + -2.\nAnswer: 6*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*h**5 - h**5 + h**5)*((-3 - 2 + 7)*(-5 + 1 - 2) + (-3 + 5 - 1)*(3 - 1 - 3) - 2 - 1 + 5)*(-1 + 0 + 2).\nAnswer: 121*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1804 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/260133?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-3*(sqrt(98) + (sqrt(98) + 1)*2))**2 - (3*sqrt(24)\/sqrt(3))\/(-1*sqrt(36))).\nAnswer: 757*sqrt(2) + 7970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4088.2129 + -4088. Round q to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 19*y**2 - 37*y - 11. Does 17 divide s(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60769*c**2 + 182304*c**2 - 60772*c**2 - 60776*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11463106513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 7. Let d = 6 - h. Let f(k) = -8*k**2 - d + 11*k**2 + 10*k**2 - 10. Let g(l) = -7*l**2 + 6. Give 6*f(t) + 11*g(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 17*d + 71. Calculate the remainder when z(8) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41*z - 23*z + 32*z - 23*z + 37*z - 3*z**2 to j + g*z + c*z**2 and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g + 1078429 = -51958 - 435949. List the prime factors of g.\nAnswer: 2, 3, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y - 6. Let w be h(5). Let o be 1\/(-2) + 10\/w. Suppose -p + 10 = 3*p + o*x, -3*x = 3*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1044, 0, -11 in decreasing order.\nAnswer: 1044, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -310 + 1447?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -217813, 0, -2 in decreasing order.\nAnswer: 0, -2, -217813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-5))\/(-6*2\/14)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m**2 - m - 22. Let w be i(-10). Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -634538684*c. Let h(g) = 2*g**2. What is u(h(r))?\nAnswer: -1269077368*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**3. Let m(l) = l**3. Let w(q) = -8*m(q) + 3*n(q). Let c(d) = d**2 - 21*d - 23. Let z be c(22). Give w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2 - (28 + 4)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b - 5*h + 33, -53*b + 49*b - 10 = -2*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4.315291 millimeters?\nAnswer: 4315291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35*(-6 + 3)*18\/189?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c - 35516 = -35300 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37518*i + 112557*i - 7*i**3 - 37517*i - i**3 - 37522*i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, p: 5}. Give prob of picking 3 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32612829 + 5*w**2 + 5*w**2 + 2*w**2 - 6*w**2 - 32612827.\nAnswer: 6*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eighteen fifths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -155*h + 228 + 1483 - 6 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 4 - 14*r + 3*r + 7*r. Let d be v(-2). Suppose -d*p + 558 = 3*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 156 = -10*v. Suppose 4*y = -18 + v. Solve 2*f - 2 = -y*s, 0 = -2*s + f - 6*f - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/6)\/(1\/2). Let u(p) = p - 4. Give u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -8 + -18 + -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 55 - 1 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-5))\/(7\/70*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.565265 millennia in months?\nAnswer: 6783.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 2*m - 46, -4*m - 17 - 12 = -o. Calculate the lowest common multiple of o and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fsbdflfsduflsdd. Give prob of sequence db.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -2. Suppose 4 + 56 = -5*k. Let s = k - -7. Sort l, s, 5 in descending order.\nAnswer: 5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1939200 and 161280?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 25410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**5 + 2*h**5 + 0*h**5 - 2*h**5 - 4 + 4 + (0*h**3 + 0*h**3 + h**3)*(h**2 - 3*h**2 + h**2).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -7*f**2\/2 - 5*f\/2 + 6 = 0.\nAnswer: -12\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29931280*r**3*s**3 + 79*r**3*s + 48*r*s**2 - r + 28*s**2 + 16*s wrt s.\nAnswer: -179587680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -86571, -9, 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, a: 4, b: 1, w: 7, u: 3, h: 1}. What is prob of picking 1 y and 2 a?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -290 times -0.43769?\nAnswer: 126.9301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**3\/3 + 103712*b**2\/3 + 448139550*b - 896417388 = 0 for b.\nAnswer: -25929, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-84*m**3 + 2*m**4 + 84*m**3)*(0 - 2 + 0) + (0 - 2*m + 0)*(2*m**3 - 11*m**3 - 4*m**3) in the form h*m**3 + g*m**4 + r*m + b + k*m**2 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 6*c - 0*c. Suppose o - c = -5*o. Solve -3\/2*y**3 + y**5 + 1\/2*y**4 + 0 - 1\/2*y**o + 1\/2*y = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 21\/((-1638)\/2544) - -6. Which is smaller: -27 or q?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 334906 by 15.\nAnswer: 334906\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.5 + 3.623. Let m = c - 1.121947. What is m rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = n - 2*n - 6, -5*n - 4*r + 26 = 0. Let g = -14 - -20. Let k be ((-1)\/(-2))\/(1\/g). Calculate the greatest common divisor of k and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2623, 5246, 7869, 10492, 13115, 15738?\n\"Answer: 2623*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -5, -3, -1\/3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a**(-2\/49)*a))*a**(-6)*a)**(5\/9))**(-2\/67) assuming a is positive.\nAnswer: a**(220\/3283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -2\/7, -2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 9*n**2 - 7*n. Let c(l) = 36*l**2 - 27*l. Let h(i) = -7*c(i) + 27*s(i). Let q(f) = 165*f**2. Calculate h(q(g)).\nAnswer: -245025*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(-1329)\/4*12\/(-27)*24. Solve v = -9*d + 7097 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (7 - -11) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 - 7*z + 4\/3*z**3 - 7\/3*z**2.\nAnswer: (z - 3)*(z + 2)*(4*z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (q**2 - 3*q**2 + 0*q**2)*(-4*q + 5*q + q)*(5*q - q - q) as r*q**2 + l*q**3 + j*q + w*q**4 + t and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1*sqrt(1372) + -4 + sqrt(112)\/sqrt(4).\nAnswer: -12*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11701943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 20*z**3 + 2*z**2 - 6*z - 2. Let c be t(5). Is -11 + 1 + 5 + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -2 + (-368)\/(-276)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 3:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1258c (base 15) to base 9.\nAnswer: 88376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -2, -12 in increasing order.\nAnswer: -14, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -157\/3, 2\/11, -1, 2\/3, -4\/3 in descending order.\nAnswer: 1, 2\/3, 2\/11, -1, -4\/3, -157\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3922 and 10724550?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 - 4 + 0)*(-r + r - r) + 3*r - 3*r - 4*r)*(11975 - 11975 + 122*r**3) in the form w*r**2 + y*r**4 + i*r + c*r**3 + z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12486593 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 38560.784 and -0.3582364?\nAnswer: 38561.1422364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -30*i + 83. Let k(q) = 15*q - 42. Let y(b) = 10*k(b) + 4*s(b). Let c be y(3). Suppose 5*m - 3 = 2*m. Put -5, m, -3, c in descending order.\nAnswer: c, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*((-6)\/15 + 12\/30). Sort u, 0.5, 1\/9 in decreasing order.\nAnswer: 0.5, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of q**6\/60 + q**5\/30 - q**4\/12 - q**3\/3 + q**2\/2 + 3*q. Let v(k) be the first derivative of l(k). Solve v(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4020 (base 5) to base 7.\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2201 (base 5) to base 7\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 2134544\nAnswer: 3\/1067272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 12*m**2 + 5. Let j(v) = v**2 - v. Let y be j(-3). What are the prime factors of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*h - 5*d, -58 = -5*h - 28*d + 32*d. Solve -30 = 4*n - h for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11080906 is divided by 4577?\nAnswer: 4566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/159 and -10\/137.\nAnswer: 21783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + -2. Let y = c - -2.3. Let a be 1 + 2\/(-1) + 7 + -5. What is the second biggest value in -1, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0847217 - -0.0247217. Let s = -0.41 - -0.01. Which is the smallest value?  (a) y  (b) s  (c) 3  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 13 = -4*p. Suppose 35 = -3*l + 41. Solve p*t = 3 + l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/(-15))\/((-285)\/9500*-15*8\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7, -13, -51, -113, -205?\n\"Answer: -l**3 - 3*l**2 - 4*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 17. What is the tens digit of (-4 - (g + 44))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y + 10375 - 20710 + 4*y + 10380. Let b(p) = p + 23. Calculate 5*b(v) - 2*r(v).\nAnswer: -v + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-6) - 190\/(-15). Let k = f - 7. Solve -6 = k*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**4 + m**2. Let i(y) = 134*y**5 - 6*y**4 - 2*y**3 - 6*y**2 - y - 111. Let b(o) = -i(o) - 6*p(o). Find the second derivative of b(h) wrt h.\nAnswer: -2680*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 64 = -2*f. What is the remainder when 24*(-203)\/(-21) + -11 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 6*t**2 + 8*t + 5. Suppose 0 = 5*v + 3*m - 35, 5*m = -3*v - 0*v + 21. What is the remainder when 47 is divided by r(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + 6*sqrt(77)*-2)\/((sqrt(7) - sqrt(21)\/sqrt(3)*5) + sqrt(7)) + -5)**2 + 5.\nAnswer: -110*sqrt(11)\/3 + 1601\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4*j + 8 = 0, -3 - 9 = -2*t + j. Let x = 7 - 4. Let f(k) = k**3 + 2*k + 3. Let b be f(x). What is the greatest common divisor of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, g: 2, h: 2, q: 2, w: 6}. What is prob of picking 1 k and 2 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*c + 2680 + 1478 = -100*c - 15770 for c.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5008 + 110069\/22. Find the common denominator of 23 - (-2673)\/(-132) - -18 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*c**2 - 177*c**2 + 471*c**2 + 330*c - 90*c.\nAnswer: c**2 + 240*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -777 + 4599 = -91*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 2*a - 10, -4*a + 5140 = -4*u. What is u rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -7*w**4\/12 + 29*w**2. Let o(d) = -4*d. Calculate o(f(z)).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - -28. Let m = 181\/4 - g. Let p = -7.46 + 7.56. Which is the closest to -2?  (a) p  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2*-2*sqrt(66))\/(sqrt(486)*1 - sqrt(486) - sqrt(486)) - 1*sqrt(110)\/(sqrt(1210)*2)).\nAnswer: 97*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 5  (b) 0  (c) 1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 88*j - 116*j + 58*j in the form w + p*j and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) - (-243)\/(-540). Is 0.011 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 4:49 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1177, 5111, 11797, 21235, 33425, 48367, 66061?\nAnswer: 86507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 5060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10133 + -12233111?\nAnswer: -12222312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -6 + 1 + 3 + 6 + 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, y: 5, z: 6, x: 2, i: 1}. What is prob of picking 2 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.6 + -1.6. Which is the closest to 3?  (a) h  (b) 2\/7  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 223896 + -147668. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/32, -3423, 0, -3, -4\/3.\nAnswer: -3423, -3, -4\/3, 0, 5\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 7*x - 5. Let w be j(-5). Solve -h = -5*a - 5, -a - a + w = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*s. Suppose 3*n - 1221 = -3*c, 2*n = 2*c - s*n - 798. Suppose -z - 2*a + 75 = 0, -3*z = 2*z - 4*a - c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15\/(-10)*(-40)\/15. Let k = 0.23 - 9.23. Let x = k + 4. Sort x, 2\/3, s in descending order.\nAnswer: s, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.31  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 709*z = 774*z + 1365 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -462 divided by -22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -86*m**2\/7 + 568*m\/7 - 312\/7.\nAnswer: -2*(m - 6)*(43*m - 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7 + (-2005)\/(-15))*12\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 14. Let u be b(-3). Solve -s = -11 + u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1599*q + 1573*q = -182 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -113*s - 46. Determine o(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(-292)\/6*-3. Let f = m - -294. Let b = 9 + -6. Solve b*t + 2 = f*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 10:36 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 53\/4 of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**7\/210 - v**6\/60 + v**5\/60 + v**4\/12 - 86*v**2. Factor a(d).\nAnswer: -d*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13361 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 4*q + 2*q)*(19*q + 44*q + 27*q)*(2 - 1 - 3).\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3, -101, -165, -177, -119, 27, 279, 655?\n\"Answer: 3*h**3 - h**2 - 116*h + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1734 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 591 + -568. What is the remainder when 243 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-86 - -93) + (-1 - 17) - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9064 divide 823251415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -394 = -132*v - 65*v. Solve v*f = -4*s - 4, -26*s + 3*f = -21*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3064 + 3063.9999859. Round p to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 3:53 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 3 - (-2 - -5). Let u(s) = d*s**3 - 8 - 4*s**3 + 0*s**3 - s**3 - 8*s. Let o(p) = 0*p**3 - 12 + 17 + 3*p**3 + 5*p. Determine -8*o(r) - 5*u(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -24*g**2 + 8*g + 2. Let x(d) = 88*d**2 - 23*d - 6. What is -7*l(y) - 2*x(y)?\nAnswer: -8*y**2 - 10*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 23. Suppose -v*x = -3*t + 61 - 6, 3*t + x - 43 = 0. Calculate the highest common divisor of t and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 604, 1480, 2696, 4246, 6124, 8324?\nAnswer: 10840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29202 + -29125. Solve 0 = -85*r + j*r - 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 2*j**2 + 2*j + 1. Let n = 139 - 142. Give s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1403*n**2 - 110*n**3 - 466*n**2 - 464*n**2 - 468*n**2.\nAnswer: -110*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2233 - 230?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {b: 1, d: 1, j: 2, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**4\/8 - 7*r**3\/6 - 2*r**2. What is the least common multiple of 7 and m(-6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**10*p*p*p**(-1\/5))\/(p**(-2\/3))**(28\/3) assuming p is positive.\nAnswer: p**(811\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -411266.514 rounded to the nearest 100?\nAnswer: -411300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -35, -71, -1, -72, 64, -2 in ascending order.\nAnswer: -72, -71, -35, -2, -1, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 + 33 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64515 divided by -115.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*t**3 + 6*t**3 + 19*t**3 - 2*t**3 + 3*t**3 - 3*t**3 + (t + 0*t - 2*t)*(-t + t + 2*t**2) - t**3 + 0*t**3 + 2*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {d: 1, r: 1, s: 1, i: 4, g: 1, l: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2 + 14 + 12 - 2*o in the form y + t*o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16\/40*5\/(-9). Let l = 65\/6 - 23\/2. What is the nearest to -1 in r, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 406*r - 1603. Let k be b(4). What is the smallest value in k, -5, 0.4, 4, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 r when four letters picked without replacement from {r: 7, p: 4}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 12 = 5*q. Suppose -q*s = -3*s - 6. List the prime factors of s\/(-10) - 180\/(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31021.\nAnswer: 67, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2 + 3*r. Let j(u) = u**2 - 15*u + 4. Let v be j(15). Let p = v + 0. Calculate the remainder when t(-2) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -h**4\/7 - 40*h**3\/21 + 8*h**2\/7 + 160*h\/7 + 219. Solve g(m) = 0 for m.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21322212 - 1112?\nAnswer: -21323330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.657 - -391814.\nAnswer: 391815.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-1)*r\/r**5)\/(r**4*r*r**(-1\/20)))**23 assuming r is positive.\nAnswer: r**(-3197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 134*t**3 + 1382*t**4 + t - 689*t**4 - 695*t**4 + 2 to the form k*t + g*t**4 + a*t**2 + h*t**3 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from {c: 2, p: 10}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f = -6*f - 52 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4720049?\nAnswer: 4720049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-12)*(-2 - 2)\/1. Does 5 divide u - (21\/4)\/(17\/(-476))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2586\/(-8)*(5 + 187\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 10*k**2 - 21*k + 24. What are the prime factors of q(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 6. Let f(u) = -2*u**2 - 2*u + 3*u**2 + 0*u**2 - 12*u**3 + 13*u**3 + q. What is the tens digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/17 in 0, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 165*t + 9. Calculate y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/4 + (-9)\/(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h - 887 - 884 - 890 - 884 + 4440 - 895.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.9 + -16.9. Let g(t) = -t - 11. Let r be g(-11). Which is the second biggest value?  (a) r  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 4*f + 2, f + 1 = -5*h + 9. Suppose -h*k = -7*k + 12895. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 17524*s + 100658*s - 26157*s + 136685*s)*(4*s**2 - 5*s**2 + 0*s**2) in the form b*s + c*s**2 + r + a*s**3 and give a.\nAnswer: -193662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -2*w + 18. Suppose -2*z = 8, -a - 2*a - z + 41 = 0. Calculate the remainder when a is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 75 + -68. Solve y*h = 4*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -4*g**3\/3 + g. Let w(r) = 2*r. Give m(w(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (1*6\/(-15))\/((-50)\/60080875) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {h: 6, d: 2, l: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -46690, -46706, -46722?\n\"Answer: -16*g - 46674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(8\/3)*k**(2\/13)*k*k*k)**(-5\/8) assuming k is positive.\nAnswer: k**(-1135\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*t**2 - 44*t**2 - 39*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 163\/84 and -71\/514428.\nAnswer: 3600996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 492468 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: In base 5, what is -31420013433 + -1?\nAnswer: -31420013434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -903 divided by 903\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6798285019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4940359439?\nAnswer: 61, 80989499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 157429693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + 0*v + 4*v)*((0 - 5 + 3)*(1 - 1 - 2) - 2 - 2 + 8 - 1 + 1 + 2).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 3:31 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 136 + -92. Suppose h = 3*d - 0*h - 9, 3*h = -9. Suppose d*x - 9 + 1 = 0. What is the greatest common divisor of x and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -98170 + -3?\nAnswer: -98173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {t: 2, a: 3, p: 8, k: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -410.7 + 411. Which is the nearest to 30?  (a) s  (b) -1\/7  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(2\/13)*j\/((j\/(j*j*(j*j*j*j\/(j*j*((j*j*(j**(1\/4)*j)\/j)\/j*j)\/j)*j*j)\/j))\/j)*j*(j**5*j)\/j*j*(j*j*j*j**(-2\/9))\/j assuming j is positive.\nAnswer: j**(6871\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(4\/7)*x)\/x**(-7))\/(x**(-1\/4)\/x)**(-2\/19) assuming x is positive.\nAnswer: x**(2245\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 252621651 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 8 + 10 = 0. What is the nearest to 0.1 in x, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/sqrt(6) + sqrt(30))*2)\/((sqrt(66)*-2)\/sqrt(11)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + 18*f + 10. Determine i(17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*i + 5 = -i, -4*i + 6 = -3*s. Suppose -16*o + 261 = -7*o. Suppose -9*h + 25 + o = 0. Solve -4*v - h = -s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z - 4. Let y(t) = -3*t - 2. Let i(d) = -q(d) + 2*y(d). Let l(w) = -6*w - 6*w - 2*w. Determine i(l(n)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19.5 - 20. Let x = 0.2 - 0. What is the biggest value in -0.2, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -5. Let t = 0.366 + -0.866. What is the closest to -5 in m, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*g - 12 - 109, 275 = -2*b + 5*g. Let c = -124 - b. Calculate the greatest common factor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -180, -946 in increasing order.\nAnswer: -946, -180, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 58 = 44. Let y(h) = 125*h**2 - 21 - 243*h**2 + 117*h**2 + f*h. Let j be y(9). Solve -q = -4, 2*q - j = -3*g - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1166 and 279151?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + n + 4. Let i be f(0). Let c = i - 2. What is the third derivative of -s**3 + 9 - 9 - c*s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 6:44 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3177 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 2*n**2 - 2*n + 3. Let s be b(-3). Suppose s*f - 3*f + 36 = 0. Suppose -a - f = -4*a. Calculate the lowest common multiple of a and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10457734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -2977*d**6\/30 - 317*d**3\/3 - 2540*d. Find the second derivative of y(l) wrt l.\nAnswer: -35724*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 12*j**3 + 7*j**2 - 7*j - 7. Let p be (5\/1)\/(2 - (-3)\/(-1)). Let c = p + -2. Let z(a) = 8*a**3 + 5*a**2 - 5*a - 5. Give c*z(o) + 5*i(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*c + 40*c = -4. Solve 3*d = -l - l - 2, -c*d + 4*l = 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-12) + (-2 - 5\/5). Let s = -0.1 + -0.1. Put s, o, -5 in decreasing order.\nAnswer: s, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 4:52 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 2\/5, 2\/15, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -5*i + 12. Let h(b) = b + 38. Let v(j) = -j + 127. Let p(g) = 3*h(g) - v(g). Give -4*p(d) - 3*t(d).\nAnswer: -d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 134*j**2 - j. Let y be x(-1). Let q = -511\/6 - -1246\/15. What is the common denominator of (18\/y)\/(8\/(-378)) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 5*i = 1, -2*f = 2*f - 2*i + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**17\/f**(5\/6))\/((f**(-9\/7)*f)\/f*f**(-26)) assuming f is positive.\nAnswer: f**(1825\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3042, 5672, 8302, 10932, 13562?\n\"Answer: 2630*k + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*k - k**2 + 2*k + k + (-2 - 4 + 4)*(2*k**2 + k**2 - 4*k**2) + 2*k**2 + 0*k + 0*k.\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2551048 and 7015382?\nAnswer: 28061528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1230, -1268, -1304, -1338, -1370?\n\"Answer: l**2 - 41*l - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -64838 smaller than -64834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 916573307.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-96)\/(-44) - 4\/22. Suppose 3*s - p*s = 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 8:33 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f. Let r(s) = -2*s - 3. Let g(t) = -t - 3. Let v(j) = 7*g(j) - 6*r(j). Determine q(v(m)).\nAnswer: 10*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 1:55 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -0.04  (c) 0  (d) -6  (e) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2030302200 + -120?\nAnswer: -2030302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008459 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/9 and -77\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-6 - -2) + 9 + 6 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(-3996)\/16 - 2\/8. Let v = f - -945. Round v to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = 178*t - 183*t. What is the remainder when 136 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -289.83 less than 38117?\nAnswer: 38406.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 192390 and 5830.\nAnswer: 192390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -172 + 89 + 51.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.906 - 1.881. Let t = 14.975 + h. Suppose -3*s + 4*s = 1. Is t at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 3:52 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 9:05 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (3 + -9 - -5 - 17 - (-70 + 65))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1354\/3 - 451. Which is smaller: g or 230?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 2*r + 70. What is the units digit of b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1778560339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-736)\/32*2*3\/(-12).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*-2*(-18)\/(-9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 22*n + 5. Let u be q(-1). Let d = u + 26. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-60)*115*(-1035)\/(-6900)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -l**4\/4 - 7*l**3\/3 - 7*l**2\/2 - 5*l + 3. Let i be f(-6). Let p = 80\/7 + -241\/21. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -38, -2 in decreasing order.\nAnswer: 5, -2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 211975 or 635927\/3?\nAnswer: 635927\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28552, -28556, -28562, -28570, -28580?\nAnswer: -28592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -1750329*x - 1323*x**2 - 771895089 - 1\/3*x**3 = 0. What is x?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12*0.4\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-147)\/(-84)*1\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 248148128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 11*a**3 - 7*a**2 - 2*a - 9. Let y(z) = -1. Let i(g) = h(g) - 2*y(g). Let n(u) = 7*u**3 - 5*u**2 - u - 4. Let t(c) = -5*i(c) + 8*n(c). Calculate t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/42 and 82\/26103525.\nAnswer: 52207050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -21. Let v = 65 - y. What is the least common multiple of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2245 + 21210?\nAnswer: 14521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b**3 + 13*b**2 - 20*b**3 - 12*b**3 + 11 - b - 10*b**2 - 4*b**2 to the form r*b + c + o*b**3 + i*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 + 57*s**4 + s**5 + 9*s**3 - 9*s**4 - 33*s**5 + 21*s**3.\nAnswer: -2*s**2*(s - 2)*(4*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -782\/276213 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 253592, 253484, 253376, 253268, 253160, 253052?\n\"Answer: -108*j + 253700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) - sqrt(275)*2*-5)**2.\nAnswer: 33275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by -1394.\nAnswer: -12\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 smaller than -16654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05416 times 9972.3?\nAnswer: -540.099768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -55, 2079, -6.\nAnswer: -55, -14, -6, 2079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gyu when three letters picked without replacement from {g: 1, u: 1, y: 2, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + -18. Let y = 48.3 + l. Let h = -8.2 - y. Which is the second smallest value?  (a) -2  (b) h  (c) 2\/7  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -8*y**2 - 2. Let j(o) = 24*o**2 + 5. Let i(d) = -3*j(d) - 8*z(d). Let s(h) = -h**2 - h + 21. Let k be s(4). Determine i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -7*o**5\/60 - o**4\/24 + o**3\/6 - o**2. Let l be (-7)\/(-3)*-3 - 4. Let i = 12 + l. What is a(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2495*j - 1005*j - 512631 = -2219*j - 4428*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 294*c - 297.\nAnswer: 3*(c - 1)*(c + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(-4 - 4*p**3 + 4)*(-5*p**2 + 3*p**2 + 5*p**2).\nAnswer: 24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -423 divided by 1.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 54 + (-6)\/(-3) + 1. Let w = 14 + -10. Suppose w*q - k - d = 0, 6*q - 2*q - 54 = 2*k. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 5:21 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n + 5. Let o be s(0). Let h(i) = -i**2 - 5*i + 36. Suppose 0 = 2*c - 0*c - 4*x - 2, 0 = 5*c - x + 40. Let q be h(c). Solve q = 3*m - o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-1417392)\/42)\/(-17) + -13 + (-6)\/(-7) is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -23*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*d = 458*d + 9*d + 11128 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 + 5*y**2 + 3*y**2)*(-2*y - 4 + 4)*(4*y - 4*y + 5*y + (2*y + 0*y - y)*(2 - 3 + 2) - y - 3*y + 3*y).\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - p + 4*p + 2*p + p - p + (2*p - p - 3*p)*(3 - 1 - 1) + 2*p - 7*p + 3*p)*(-14*p + 48 - 48).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*t + 5. Suppose -h + t*h = 16. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/5*u**5 - 30*u**2 + 151\/5*u - 152\/5*u**3 + 0 + 30*u**4 = 0. What is u?\nAnswer: -151, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -401*p**2 + 698*p**2 - 2391*p**2.\nAnswer: -2094*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**3 - 10*b - 21 - 3*b + 19 - 7*b**3 as a*b + p + u*b**3 + f*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -155, -157, -157, -155, -151, -145, -137?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 200*m - 202*m - 730 = 0, -o - 2*m = -190. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 864 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.07 - 0.04. Let g = 0.23 - p. Which is the second biggest value?  (a) g  (b) 0.1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m**2 + 215*m - 1031. Give a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24388439?\nAnswer: 37, 43, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and 6051.95?\nAnswer: -4236.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s + 1. Let x be i(-5). Solve -x*u - 5 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**2\/2 + w - 59. What is l(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 3, 7, 432 in decreasing order.\nAnswer: 432, 23, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -586\/9  (b) 1  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b. Let p(v) = -68*v**2 + 5*v. Let f(m) = 5*n(m) + p(m). Let l(x) = -x**2. Calculate f(l(d)).\nAnswer: -68*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 451 - 157 = 21*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 96027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 911701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 470028026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 0, -248, -808, -1800, -3344, -5560, -8568?\n\"Answer: -20*d**3 - 36*d**2 + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 135305349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v - 1. Let u(r) = -r - 7. Let a be -24*((-8)\/12 - -1). Let n be ((-8)\/(a\/(-4)))\/(-2). What is n*t(q) - u(q)?\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**4 - 7149*i**3 + 2063610*i**2 - 8139992*i = 0 for i.\nAnswer: -7427, 0, 4, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y + 199790 - 66657 - 66721 - 66661.\nAnswer: y - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3628 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(84)*2)\/(sqrt(12) + 1*sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 6*c + 2. Let h be 18\/(-2)*6\/9. Let k be w(h). Suppose 0 = -j + k + 11. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 4*s**2 - s - 2. Let d be x(-4). Suppose 2*l + 7 = 5*c + 17, 0 = -4*c + d*l - 10. Let w(q) = q + q - q + c. Let k(g) = -g. What is w(k(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(104\/(-40))*2\/75.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 351328 - 221297 + 334321 = 16*x. List the prime factors of x.\nAnswer: 2, 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*o - 530 = -5*i, -528 = -5*i + 4*o. Suppose -d + i = d. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -287, -566, -833, -1082, -1307, -1502?\n\"Answer: m**3 - 286*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, -45, -154, -317, -540, -829, -1190?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7753368 + -24?\nAnswer: 7753344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.015 + -46.985. Let q = 19 + h. Let n = 27.7 + q. Which is the biggest value?  (a) -4  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppgp. Give prob of sequence pgpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 767 from 3627.\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -194 * 1.8\nAnswer: -349.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 + 263 = -5*t. Let a = 63\/2 + t. Suppose 0 = r - n + 6, 1 = 5*r + n + 7. What is the biggest value in a, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 21363746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1253 - 879. Let g = 679 - 451. Suppose s - 134 + p = 4*l, -4*l = 2*s - g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 15?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(((y\/((y**(-1\/7)\/y*y)\/y))\/y*y)\/y))\/(y*y**(-3\/7)))\/(y\/(y\/(y\/y**(3\/17)))*y**27) assuming y is positive.\nAnswer: y**(-3396\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/171545 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -45029254670 rounded to the nearest one million?\nAnswer: -45029000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.18 != 5217538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20844 by 2316.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5\/4, -2\/67, -1007, -2?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k**5\/9 - 194*k**4\/9 + 404*k**3\/9 - 184*k**2\/9 - 16*k\/3 = 0. What is k?\nAnswer: -2\/11, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1181*d + 4155 = 2380*d + 15830 + 13252 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 > -9131\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -218000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4130.87 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 6*f + 4. Let r be (-12 + 10)\/((-1)\/(-2)). What is the units digit of o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5220741, 10441487, 15662233, 20882979, 26103725, 31324471?\nAnswer: 36545217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/6*(-1 + 1). Let k = 3 + v. Suppose 13*c - 221 = -4*c. What is the remainder when c is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the hundred millions digit of 2262586354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2709971147151 - 2.\nAnswer: -2709971147153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)\/(sqrt(56)\/sqrt(7)) + sqrt(24) - 3*sqrt(216))\/(-3*-2*sqrt(72)\/sqrt(6)*-2).\nAnswer: 7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 95c18d - 4b?\nAnswer: 95c142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 + u**3 - 3*u**3 + u**2)*(0 - 3 - 4).\nAnswer: 14*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 2, -4, -2, -5, 5 in descending order.\nAnswer: 5, 2, -2, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**6\/60 + d**5\/20 + d**4\/8 + d**3\/2 - 2*d**2. Let g be r(-2). Factor 0*l**2 + g*l**3 + 0*l**2 + l**5 - 23*l**3 + 3*l**4.\nAnswer: l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - 2\/((-8)\/18). Is 1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - a = 5*j + 3, 5*j + 2*a - 22 = 0. List the prime factors of 83*(j - (-6)\/(-2)).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330255 is divided by 1171.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 7*i**6\/45 - 17*i**5\/30 + i**4\/2 - 134*i**3\/3 + 155. Let v(l) be the third derivative of g(l). Factor v(m).\nAnswer: 4*(m - 1)*(14*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -0.2, 2\/15, 0.1, -1, 1968.\nAnswer: -1, -0.2, 0.1, 2\/15, 1\/7, 1968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8\/130*(-6)\/((-168)\/(-70))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.60432 and -21.2.\nAnswer: 55.211584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 807, 3224, 7251, 12888, 20135, 28992, 39459?\nAnswer: 51536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 1) + (0 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 37611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*x**2 - 2*x**2 - 2*x**2 + 39 - 3*x**3 + x - 17*x**2 - 2*x to the form h*x**2 + z + u*x + w*x**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is d4630b (base 15) in base 3?\nAnswer: 200222220011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 23*y**2 - 2*y - 5. Let d be s(-4). Suppose 5*c = -4*n - 351, -7*n - c = -3*n + d. Let i = -7 - n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 739.299115 rounded to zero dps?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 25*i**4\/4 - 2*i**3\/3 - i**2\/2 - i + 29. What is the second derivative of p(t) wrt t?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 470 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 11. Let r be z(-14). What is the second derivative of -3 - 10*m + 3 + 13*m**3 - 3*m**r wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 - (2\/1)\/(-1). Let k be (3\/d)\/((-2)\/(-572)). Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7b31 (base 16) to base 2\nAnswer: 111101100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -233421132 - -233421137.24000548. Let b = 5.24 - x. Round b to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f**3 - 10*f**2 + 4*f - 12. Let s(z) = z**3 - z**2 + z - 1. Suppose -k - r = -0*r, -r - 2 = 3*k. Let g(a) = k*j(a) + 6*s(a). Give g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79342 is divided by 26429.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a02 - -94?\nAnswer: 1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33218699*v + 402*v**2 - 66437407*v + 33218707*v.\nAnswer: 402*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5442425 (base 8) to base 9.\nAnswer: -2664021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*i = 21*i + 630 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(99)\/sqrt(3))\/(sqrt(110)\/(sqrt(10)*-1)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/(-105) + (-8)\/(-168)*3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -147110 + 15887761\/108. Calculate the common denominator of o and -157\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12818 + 46546. List the prime factors of u.\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 372043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107425366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 22.3*-0.0682\nAnswer: -1.52086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7446865.3 rounded to the nearest one thousand?\nAnswer: -7447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert a59ca4 (base 14) to base 11.\nAnswer: 3183548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 155 - 389. Let h = -141 - b. Suppose -5*x = 10, 0 = -5*i + 3*x + 418 + h. What is the remainder when i is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 2*p**3 + 3*p**3 - 2*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 0.612?\nAnswer: 8.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1910226577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 18. Let l(m) = -5*m + 3. Let z(i) = -3*i + 2. Give k*l(f) + 8*z(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 - 11*k**2 + 22*k**2)*(11*k - 2 - 17*k + 9*k).\nAnswer: 33*k**3 - 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -134 + 167. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -498, -2222, -5098, -9126, -14306?\n\"Answer: -576*s**2 + 4*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1551.98 - 1552. Let z = -7 - -3. What is the second smallest value in g, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -459 + 25?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -6 - -3) + -5 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85561 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 598746609*n**2 - 155038722*n?\nAnswer: 1197493218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d**(-13)*d*d)\/d)*d)\/d**(-5))**(-2\/57) assuming d is positive.\nAnswer: d**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/4576224 and 79\/5475?\nAnswer: 114405600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 760 = 5*c, 3*c - 7*q = -2*q + 460. Suppose -6*y - 24 = -c. Is y at least 200\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5\/3 + 226*s**4\/3 - 316*s**3 - 1396*s**2\/3 + 946*s\/3 + 390 = 0 for s.\nAnswer: -117, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 4 = -2*r, 2*r - 1050*o = -1047*o - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5 and 69481?\nAnswer: 69486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y - 1. Let g(h) = -5*h - 9. Let f(o) = -2*o - 4. Let u(t) = -7*f(t) + 3*g(t). Suppose 5*i - 35 = 50. Suppose 19*n - i = 2*n. What is n*a(b) + u(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 5. Let a(g) be the first derivative of g**2 + 10*g - 2. Let q(p) = -6*a(p) + 13*m(p). What is the units digit of q(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7237001 and 13651?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 - -37. Let q be ((-2)\/d)\/((-146)\/16 + 9). Factor -14\/5*l - q*l**2 + 4\/5.\nAnswer: -2*(l + 2)*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61709 and 2009567.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.02 - 0.12. Let a = 100 + -702\/7. What is the closest to z in a, 4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + (1002\/(-48) - (-33 - -32))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 7, e: 1, w: 10}. Give prob of picking 1 e and 3 y.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 40*v - 2794. Calculate the least common multiple of m(99) and 1166.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6574?\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.11 in 10, 5, 15, 2\/3, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -5*n + 2 + 12, 5*w + n = 38. Let f(b) = b**3 - 7*b**2 - 6*b - 8. What is f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ul when two letters picked without replacement from ljllwquwjjjljjjj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 9:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/((-7889)\/138) - 22\/28.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-49 - -78) + -67 + 3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 886.53 - 875. What is g rounded to one dp?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-3) - (-1)\/(-1). Suppose 0*j + 280 = x*j. Suppose 0 = -4*d - 0*d + j. Calculate the remainder when 41 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.6  (b) -1  (c) 0.4  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + (-7 - -1) - -5) + 8 - (-37 - 18)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2412.863 micrograms?\nAnswer: 2.412863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4 + 153929*q**3 + 5924226880*q**2 + 53305574400*q.\nAnswer: q*(q + 9)*(q + 76960)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 22423, 44665, 66729, 88621, 110347, 131913, 153325?\n\"Answer: t**3 - 95*t**2 + 22520*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 5*j + 868 - 872, 0 = -5*j - 2*d + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 219 = -3*o, 2*a + 3*a + 4*o = 266. Calculate the highest common divisor of a and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**2\/13 - 12*n\/13 + 18\/13 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -654, -680, -706, -732?\n\"Answer: -26*j - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 54. Let l = 1 + -4. Let z = l + q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 5)*((5*k - 3*k + 4*k)*(-29 + 17 - 8) + k - 3*k - k)*(-4*k**2 + 2*k**2 + k**2).\nAnswer: 738*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 - 40. Let r(q) = -q**3 + 6*q**2 - 5*q + 4. Let o be r(5). Suppose 2*g - 2 = 4*i, -o*i + 2 = -g - 1. Solve -y = -5*l - j - 4, g*l + 31 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -56, -218, -494, -890, -1412, -2066, -2858, -3794?\nAnswer: -4880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 131 - 29 = 0. Let s = -23 - r. Suppose -10*l + 11*l - s = 0. Solve l = 5*o + 5*q - q, 4*o - 4*q = 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -2  (c) -0.3  (d) -1\/24  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3c8 + -c?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 7*v - 2. Let x be r(8). Suppose k - 2*w + 8 = -x*w, -4*k = -3*w + 89. Let o = 56 + k. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*w**3 + 2555*w**2 + 638*w**2 - 282*w**2)*(2 - 2 - 2*w) in the form m*w**4 + z*w**3 + t*w + f*w**2 + b and give z.\nAnswer: -5822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**2. Let d(v) be the first derivative of -v**4\/6 + 8*v + 2. Let x(h) be the first derivative of d(h). What is x(y(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 30478  (b) -7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*t - 4. Let a = 9 - t. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-498)\/(-3320)*(-48)\/(-18)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (21480 + 1)\/(1319 + 3). Let s be (-6)\/(-4) - 7926\/5288. Let g = s + j. Calculate the common denominator of g and -34\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3117482756 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 35*(-32)\/896*(-180)\/5\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 16. Let k be b(8). Solve 2*o = -5*r - 18, 6*r - 4*r + o = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t = -0*t + 144. Suppose 0 = -2*l - t + 48. What is the highest common divisor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -33*u - 48. Let a be q(-19). Does 11 divide (-3)\/5 - a\/30*-22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 495*j**3 + 491*j**3 + 485*j**3 - 1496*j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 - 6 = 47*o + 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (6 + 2 - 4) + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4098448271.\nAnswer: 73, 56143127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 624176\nAnswer: -3\/624176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 25*f**8\/4032 + f**7\/126 + f**6\/360 + 45*f**2. Determine r, given that v(r) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (0 - 12) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-591)\/(-10)*(-4418)\/15588. Let g = -2\/6495 - f. Let n = 525 + -3143\/6. Find the common denominator of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v**2 - 286 + 3*v**2 + 187 - 196 - 553.\nAnswer: -4*v**2 - 848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 391, 781, 1171, 1561?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 122397994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, -116, 17\/3, 0.07, 1\/8, -0.2?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -55997\nAnswer: 7\/55997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 293912783 to the power of 1\/2, to the nearest integer?\nAnswer: 17144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**4\/4 - w**3 + 2*w**2 - 3*w + 3. Let y be u(3). Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 14*c**2 + 35*c - 11. Let j be o(16). Let l(u) = 37*u - 1. Let a be l(1). Is j at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 704285061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 PM and 10:30 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5154 >= -82483\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -51, -54, -57?\n\"Answer: -3*p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l = 14*l + 21*l - 3900. Calculate the highest common divisor of l and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1060076 divided by 332.\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 47*h - 161. What is m(-15)?\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 less than 2555535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/6*1\/(5\/180). Let z be ((-138)\/(-8) - 2)\/(3\/w). Suppose -z*h = -60*h - 52. What is the highest common factor of h and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 8*z**2 + 9. Let a(c) = c. Give m(a(n)).\nAnswer: 8*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -14*q**2 - 2*q. Let s(n) be the second derivative of n**3\/3 - 246*n - 2. Determine c(s(j)).\nAnswer: -56*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1453 is divided by 459.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 6 = 0, 0 = 2*g - 5*c - 657332 - 1359544. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 85 and 5287?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14423472 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 59892 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -18 + (-360)\/(-140)*105 is divided by 121.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, a: 6, u: 2, g: 1, k: 4}. Give prob of picking 1 a and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 6*n - 7. Does 10 divide j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/11427 and -121\/390.\nAnswer: 114270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -19*g - 8. Let m(p) = -5*p - 2. Let d(q) = -2*c(q) + 9*m(q). Let w be d(-4). Suppose -7*o + 9 = -w. Solve 0*j = -o*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -5*u - 2180410, 191*u + 2180402 = 5*c + 194*u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-213)\/48*2)\/((-466)\/3728))\/(-2 + 3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69 - 18*u - 3*u - 69.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/3, 0.03, 0.4, -474?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2. Let v(q) = 2*q**2 - 2*q + 1. Let l(m) = -3*k(m) - v(m). Let g be l(-5). Let d = 21 - g. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 13*f**2 + 13. Let i be m(13). Let t = 3 + i. Solve -4*p + t = 0, 0*v + 2*p = v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3736097553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*j - 3, -j - 37 + 13 = -4*o. Let h(m) = 3*m + 4. Let z(a) = 2*a + 3. Calculate j*z(v) + 3*h(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (29*r - 29*r - 3*r**3)*(7 - 14 - 7) as p*r**3 + i*r**2 + a*r + w and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 764*o + 442*o + 19360 + 49040 = 294*o for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -c - 7, -c - 5 = 4*s + 2*c. Let v be 2*s\/5 - (-37)\/(-5). Is 7 a factor of v\/(-2) - 2\/(-4) - -62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01184836224 rounded to six decimal places?\nAnswer: -0.011848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 149647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*l - 892*l + 3 + 230*l + 219*l + 237*l.\nAnswer: 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11414 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**2 + 7*u + 15. Determine f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 219997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7382819 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 29468 divided by -278?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -40*d - 6. Does 21 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + i - 25. Let l be (2\/(-7))\/((-7)\/63). Factor -2\/7*x - l*x**i + 24\/7*x**4 + 0 + 4\/7*x**3 - 8\/7*x**2.\nAnswer: -2*x*(x - 1)**2*(3*x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -1506*h + 66. Let y be b(-6). Suppose -12*j - y = -18*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -86, -102, -118?\n\"Answer: -16*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(sqrt(60)\/sqrt(6)) + sqrt(17) + (sqrt(102) - (-3*sqrt(102) + sqrt(102) - sqrt(102)))\/sqrt(6).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 t when four letters picked without replacement from rrrrrrrtrrtrtrrrrrt.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -430.4 + -2044.8. Round f to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 249 + -11. Let a = -468 + l. What is the units digit of a\/(-15)*6\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 120\/7*r**3 + 12\/7 + 82\/7*r + 176\/7*r**2 = 0. What is r?\nAnswer: -2\/3, -1\/2, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -366 + 370. Which is greater: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 235 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.066 and 13?\nAnswer: 26.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/18067?\nAnswer: -2\/18067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6\/45*(-680)\/34*(-9)\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 7*a - 1. Suppose 2*r - 30 - 22 = 4*x, 5*x = -r - 2. Suppose 5*n - 7*n = r. Sort n, 2, a in ascending order.\nAnswer: n, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1636 less than 6539\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3522*q**2 + 5*q - 5*q - 3525*q**2. Let v(x) = -219*x. What is p(v(h))?\nAnswer: -143883*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1733 is divided by 613?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-152)\/(-228) + (-8)\/3)\/((-2)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 34*a + 10. Let c be g(10). Let i(z) = -350*z + 6*z**2 + c*z. Let f(r) = -r + 1. Let b(l) = l - 2. Let p(t) = b(t) + 2*f(t). Calculate p(i(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence grg when three letters picked without replacement from {r: 1, z: 5, d: 1, f: 1, g: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 33513462 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*s + 9 = 193*s + z, 0 = -2*s + 2*z - 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -9*c**3 + 5*c**2 + 5. Let u(v) = -14*v**3 + 7*v**2 + 7. Give 7*l(w) - 5*u(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -407*z = -435*z - 420 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/sqrt(343) - (sqrt(396) + -4*sqrt(396))) + (-2 + 1 + sqrt(11)*2 + -4)**2 + -3.\nAnswer: -13*sqrt(11)\/7 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3021366, 3021359, 3021356, 3021357?\nAnswer: 3021362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 12*s + 47. Let n be r(-15). Suppose d = n*d - 4. Calculate the least common multiple of d and 46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2239 + 97644 = 1335*f - 55450 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3314 is divided by 767.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 1168 = -4*f, -832 = -3*a + 2*f + 940. Let h = -594 + a. Solve h = 5*k + 17 - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33050135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.115  (c) -14  (d) 0.2  (e) -0.08  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + 2*z + 1. Let p be u(2). What is the second derivative of p*x - 8*x**5 + 2*x - 9*x**5 wrt x?\nAnswer: -340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111523746+1.75\nAnswer: 111523747.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-10) + 192\/30. Let f be (-6)\/(3\/((-9)\/d)). Find the third derivative of -2*h**2 + 0*h**f + 4*h**3 - h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, 2\/3, -0.14, -0.3, -1, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l - 29*l + 9*l + 3*l + 16*l + 6*l + 24*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*c**2 - 23*c**6 - 22*c**2 - 47*c**6 + 35*c**2 - 4*c**2 - 155 wrt c.\nAnswer: -8400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.9 - -3.2. Let d(o) = -o**3 + 7*o**2 + 4*o + 3. Let r be d(8). Let a = r + 24. What is the biggest value in p, 6, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.01, -2\/21, -1\/82?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)*p**(-6\/7))**(11\/4)\/(p\/(p\/(p\/(p\/p**(-2\/7)*p)))*p**(-6)*p**(1\/2)\/p**4) assuming p is positive.\nAnswer: p**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-27)*r)\/(r*r\/(r*r*r*r*r\/((r*r**7)\/r)*r)*r))\/((r*r*r\/(r\/r**(-1\/20))*r*r)\/r*r\/(r*r*r*r*r**24\/r*r)))**(-4\/3) assuming r is positive.\nAnswer: r**(-327\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 88903135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4645 + -915063\/197. Let q = t - 400\/591. Let m = 0.083 - 0.483. What is the second biggest value in 25, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.62629 - 42.62588. Let g = u + 42. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57490.5*39.\nAnswer: 2242129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 640685 - 28?\nAnswer: 64065a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 0*v - 4*v)*(v**2 - 2*v**2 - v**2) - 10*v**3 + v - v**2 - v.\nAnswer: -8*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 399.4462 micrometers in meters?\nAnswer: 0.0003994462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-3*sqrt(70))\/sqrt(10) - sqrt(42)\/sqrt(486)).\nAnswer: -28*sqrt(7)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = 8*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32558510?\nAnswer: 2, 5, 41, 79411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(187) - (sqrt(187) - (-3*sqrt(187) + sqrt(187))*-3) - sqrt(187)))\/(sqrt(275)*1 + sqrt(539)*-2).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.899676782252 + -4.3.\nAnswer: -3.400323217748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**3 + 11*v**2 - 90*v - 21. Is z(11) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 72*a - 151. Let o be z(-2). Let j(s) = 2. Let d(h) be the second derivative of h**3\/6 + h**2 - h. What is o*d(r) + 4*j(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8557*v = 4880*v + 335212 + 686000 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 3, 2\/25, -5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -18497 divided by 6\nAnswer: -18497\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -m - 7, 0 = 2*s - 4*m - 4366. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -383*o + 252*o + 257*o - 3654 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-36) - 58\/8. Is 19 a factor of x*19\/7*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171 = 11*r + 138 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*v - 62, -2*i - 3*v = -13 - 11. Let d(l) = -2*l. Let f(m) = 17*m + 1. Let z(t) = i*d(t) + 2*f(t). Give z(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -327*d = -323 - 2293. Let m(r) = -r**2 + 12*r - 17. What is m(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -0.11, 1\/6, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 7) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1027 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 f, and 1 j when four letters picked without replacement from xxjfjtfftjxtxxx.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0173 in 0.9, 2, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**2 - r + r)*(-r**2 + r**2 - 3*r**2 + (-r - r + r)*(858 - 858 + 6*r)) to k + y*r**3 + p*r**2 + v*r + j*r**4 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1238666 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 22*i**3 - 11*i**2 + 15*i + 8. Let l be n(4). Round l to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1382 is divided by 207?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l. Let j = -43 - -46. Let z(y) be the first derivative of 4*y - 5 - 4*y - 2 + y**j. Give z(n(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + (sqrt(45)*-1 + -2*sqrt(80) - sqrt(60)\/((sqrt(588)*-2 + sqrt(588) - sqrt(588)) + sqrt(588))).\nAnswer: -76*sqrt(5)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v + 1. Let p(i) = -i**2 + 5*i. Let g(q) = -2*n(q) + p(q). Suppose -4*m = 2*j, -4*j + 2*j + 18 = -2*m. What is g(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, -16, -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - (-1)\/(-2)*-2. Let a be 2\/(-7) + (-2)\/(-7). Suppose 5*u + 2*c - 35 = a, -7 = -c - 2. Solve -u*f = h + 11, 3*f - 4*h + r = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 3. Let i be (-3 + 3 + -1)\/((-5)\/(-15)). Sort 2, d, i in descending order.\nAnswer: d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 + 544*s + 14482.\nAnswer: -(s - 1114)*(s + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-198)\/(-330) + (-54)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 67 + -63. Suppose 6*a - 2*a = -112. Let y be a\/4*(-4)\/28. Solve -w + k = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.92704 litres in millilitres?\nAnswer: 47927.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1, 0.3, 2, 3\/5, 163267?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 5*x - 8, 4*h = h + 3*x + 9. Let n be 1*(0 - (h + 0)). Let d be (-10)\/7*2\/(-10). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 61 and 186843?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h*(h*h**(2\/5))\/h*h*h)**(1\/80))**36 assuming h is positive.\nAnswer: h**(243\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 12:30 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 129, 3, -16, -2 in decreasing order.\nAnswer: 129, 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eez when three letters picked without replacement from xezeexxffzxzofxfpox?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -66977\/9448 greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/13 in 1.2, 1\/4, 12940?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -3*u + 17, 1 + 8 = 2*v + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*x - 15 = -52*x. Suppose -x + 18 = 5*f. Calculate the remainder when 11 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 12, 3, 0.3 in decreasing order.\nAnswer: 12, 3, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3 + 4 + n - 3*n**2 - n**3 - 2 - 3*n**2. Calculate k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -100 and 2136 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.752972ms to nanoseconds.\nAnswer: 752972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/35, 2667, -0.5 in decreasing order.\nAnswer: 2667, 3\/35, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -14. Let j be (-7)\/m - 67036\/(-10). Let f = j - 6709. Calculate the common denominator of f and -97\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170551741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2954185 is divided by 4160?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**5\/30 + r**4\/6 + r**3\/3 + 8*r**2 + 5*r. Let i(v) be the first derivative of y(v). Factor i(l).\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64627*t + 64818*t - 129448*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1473988932?\nAnswer: 2, 3, 13, 242273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -68*w**3 - 11*w**2 - 17*w. Let v be (-14 - -29)*1 - 32. Let c(f) = -23*f**3 - 4*f**2 - 6*f. Calculate v*c(o) + 6*z(o).\nAnswer: -17*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w - 10. Let j be a(-5). Solve -4*s = -j*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 2*h + 12. Let y(n) = -2*n**2 + 9*n - 188. Give -y(j) - 3*z(j).\nAnswer: -j**2 - 3*j + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67 = -22*t - 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(3\/14))\/p)\/p**(-6))**(-9) assuming p is positive.\nAnswer: p**(-783\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 4, -17, -56, -119, -212, -341, -512?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1753 + -1024. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -255 greater than or equal to -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-7)*u)\/u)\/(u**(4\/7)\/u)*(u**(2\/3)*u*u)**(-42) assuming u is positive.\nAnswer: u**(-725\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 2*z = -0*z, 2*z + 10 = 0. Let y be (4 - 4)\/((-4)\/u). Suppose 4*b = -4 - 0. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2. Let a(l) = -l - 11. Let g(r) = 1. Let k = -43 - -2. Let u = -63 - k. Let m(p) = u*g(p) - 2*a(p). Give m(f(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 6081.1807 to the nearest ten.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eefwdd. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 11*f - 1. Let t be c(-11). Suppose h - 7 = -4*v, -8 = 4*h + 4*v - 0. Sort -2, 7, t, h.\nAnswer: h, -2, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -80 - -219. Suppose 4*s + w - o = 0, 0*w - 47 = -2*s - 5*w. Suppose -z + 96 = -s. What is the greatest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -5*c**2 + 84365098*c. Let q(h) = h. What is o(q(f))?\nAnswer: -5*f**2 + 84365098*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 4:24 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 1 = -4*o. Suppose -o*a = 4*f - 96 - 16, -4*a - f = -171. What is the remainder when a is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 181497, 364398, 547299, 730200?\nAnswer: 913101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 AM and 10:12 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = v, -243 = 2*h + 5*v + 41. Let p = -97 - h. Suppose -y + 22 = 3*o, -2*y + o - p = -7*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ngogigiiggggigg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -7\/6, 0.4, 5, 6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 494317542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, -1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/1431 + -22906\/7155. Let u = 5191\/20 + -1051\/4. Find the common denominator of r and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150863480 rounded to the nearest 100000?\nAnswer: -150900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 PM and 8:36 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 20667.3 and -2138.\nAnswer: 18529.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 235939*l**4*n + 99*l**3*n - 631777*n - 3 wrt l?\nAnswer: 943756*l**3*n + 297*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 4*d**2 + 3*d - 1. Let z be f(3). Which is the closest to z?  (a) -0.4  (b) 0.2  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 5*l**2 - 4. Let c(s) = -14*s**2 + 11. Let y be (18\/7)\/(-6) + (-106)\/14. Let x be 6\/12*(-12)\/2. Determine x*c(k) + y*p(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51 + 24. Let j = 24.8 + g. Let t = j - -1.8. What is the nearest to t in -3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 30*s**3 + 5*s**2 - 3*s + 2. Suppose 2*m - 5 = 7. Let p be c(m). Let u = -9534 + p. Round u to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 7:06 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.11 and 48.015.\nAnswer: 47.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*o - 31*o + 385 = 0. Solve -3*j = o*j + 38 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = u - 1. Suppose -508 = -26*n + 64. Let f(z) = -z + 3. Let h be f(n). Sort -4, u, h.\nAnswer: h, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, 0.07, -0.5, -3, 1 in descending order.\nAnswer: 1, 0.09, 0.07, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 16 = 3*b, b + 4*c - 129 + 127 = 0. Solve -3 - 9 = -b*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65979 is divided by 1244?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.41 + -70229896.\nAnswer: -70229895.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160 by 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/2 - 1\/(-2). Let s(o) = 10*o**2 + 5. Let v(l) = 21*l**2 + 11. Let i(g) = k*v(g) - 5*s(g). Find the first derivative of i(w) wrt w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -7*k - 4*f - 44, 4*f = -824*k + 827*k - 72 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*m + 23596 = -11*m. Is m a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((0 + (sqrt(88)\/(sqrt(56)\/sqrt(7)) - ((-2 + sqrt(11))*-2 - sqrt(11) - sqrt(11))))*-2)**2.\nAnswer: -6984 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-16))\/((-15)\/(-900)*-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.38372g in kilograms?\nAnswer: 0.03838372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**6*x**3 assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 115826 less than or equal to 115824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8\/(-12)*3309\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10075 = -680*k + 655*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.7729886 kilograms?\nAnswer: 772988.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-30)*-2)\/((-3)\/(-15)). Factor 16*s + 223 + 217 - c*s**2 - 452.\nAnswer: -4*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2964926 is divided by 751?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/((-196)\/(-7)))\/((-1)\/4). Let z be 406\/(-616) + s\/(-4)*-1. Suppose -5*a = -3 + 13. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 344977557384.400000939 - 344977555257.4. Let v = -2127 + i. What is v rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efr when three letters picked without replacement from wrqfqey.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {c: 3, l: 3, x: 5, p: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/(sqrt(11) - (sqrt(44) + sqrt(11))) + sqrt(24)\/sqrt(16))\/(sqrt(288) + -6*((sqrt(288)*1 - sqrt(288)) + sqrt(288))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/84190 and -17\/40.\nAnswer: 336760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -282.94901 rounded to 1 dp?\nAnswer: -282.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 796897.\nAnswer: 193, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hg when two letters picked without replacement from xhghxggggvg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 24 = 453. Suppose -173 = 4*h - 3*s + 88, -4*h - 3*s - 291 = 0. Let g = l - h. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 751.31 + -743. Round y to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {r: 1, w: 4, h: 1, k: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 9*h - 19. Suppose -5*o + 18 = w, -2*w - 2*w = o - 15. Suppose -o*l - 5 + 35 = 0. Is x(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -19. Let i be (o + (-13)\/(-6))*-6. Solve i*r + 7 = -3*n, 9 = 5*n - 5*r - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*l = 41*l - 30*l + 837 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3cbd7 + 0?\nAnswer: -3cbd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-13 - -3)*(-90)\/36. Solve 0 = 4*s - n - j, 0*n = s - 3*n - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 296616503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -21. Suppose 0*o - 2*o = -c. Solve 2*w + 0*w + 10 = 2*y, 3*y - 16 = o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1734674 is divided by 314.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -1 + v - 3 + 8 + 7. Let w be o(-9). Solve -5 = -k - w*h, -2*k + 10 = -2*h - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -43*y - 79. Give h(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 627 + -208. Let u(n) = -w + 2*n + 419. Let m(x) = x. Calculate u(m(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*-16)\/(-1 - 12*19\/(-76))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 51 = 57. Suppose -2*h - h = -w. What is the remainder when (-3)\/15 + (-176)\/(-5) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - -1 - (-8)\/1. Let l be (i\/(-2))\/(27\/(-18)). Let m = l + 21. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h - 2. Let g be (-3)\/(-6)*(1 - 1). Suppose -4*y + 4*s = g, y - 2 = -2*y + 4*s. Determine k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*h - 51710 + 3970. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 459 + 61 = 5*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 + 4 - 4)*(231*u**2 + 266*u**2 - 554*u**2).\nAnswer: 114*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c + 4*y + 28, -56*c + y + 10 = -54*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16296 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wdww when four letters picked without replacement from wwdwddddwd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b + 51. Let t be z(15). What is the greatest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 3)*(-291 - 17*q + 291).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -204134 (base 5) to base 8\nAnswer: -15212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4267 - 154*x**3 + 1520 + 4*x**2 + 153*x**3.\nAnswer: -x**3 + 4*x**2 + 5787","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1864\/(-36) + (-10)\/45. Let u = 61 + w. Let g(d) = -4*d + 1. Let x be g(u). Is x <= -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3834 or 88181\/23?\nAnswer: 88181\/23","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 572a29?\nAnswer: 572a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 2*f**2 + 2. Let d be g(0). Is 11640\/21 + ((-36)\/(-21) - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {e: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -13, 7, 31, 59, 91?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.82695 + -0.17305. What is the third biggest value in 2\/21, 5, q, -1, 0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g. Let b(s) = -34*s - 11. Determine d(b(x)).\nAnswer: -68*x - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 52*j - 740. Solve y + 25 = -4*r, -6*r = -j*r + 2*y - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**3 - 3 - 2*p**2 + p**3 + p**3 - 2*p**3 to n*p + t*p**3 + s + d*p**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3751  (b) 0  (c) 2\/5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -4. Let p = -2 - 2. Let g = p + 6. Put -0.4, o, g in ascending order.\nAnswer: -0.4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*p = 75*p - 6. Suppose 4*r + 5888 = p*f, 5*f = -2*r - r + 9823. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -405*l. Let a(x) be the third derivative of x**5\/20 + x**2 + 66. Determine a(o(p)).\nAnswer: 492075*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.384 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64167427?\nAnswer: 19, 31, 108943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**5\/30 + 3*k**4\/4 + 3*k**3\/2 - 7*k**2 - 5. Calculate y(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 241436 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 13 and 6.76408.\nAnswer: 19.76408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1646823 is divided by 49903.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2  (b) 2.3  (c) 3\/5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 888\/814*22 - -3*(-3 + (4 - 4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 2*m + 492 = -5*m + m + 476, 4*b + 70*m + 832 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -19, 3, 4 in decreasing order.\nAnswer: 7, 4, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005499062 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2401, -5280, -8105, -10876, -13593?\nAnswer: -16256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**3\/3 + 1142*h**2\/3 + 49698*h - 1352538 = 0.\nAnswer: -297, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**4 - 4*q - 3*q + 6*q + (-5*q + 3*q + 0*q)*(2*q**3 - 11*q + 11*q).\nAnswer: -9*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1514*b**2 + 87104*b + 41064.\nAnswer: -2*(b - 58)*(757*b + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 50726062 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 159 and 23867013?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 - 14\/5*d**2 + 14\/5*d + 2\/5*d**3.\nAnswer: 2*(d - 5)*(d - 3)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + (6 - 1) - (-20 + 50 - 40) - 61.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -11. Let p = w + 1.999991. Round p to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*u = 279*u + 32 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 21*f**2 + 2*f + 1. Let o be q(-1). Suppose -2*u + 5*d + 126 = 0, -5*d = 2*u + 3*u - 280. Suppose -2*t = o - u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 142, 212?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {r: 2, f: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-9 - 0)*-33. Let t(i) = -2 + i + 2 - a. What is t(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 - 2*r - 1. Suppose -2*y + 6*y - 8 = 0. Let f be (-2)\/4 - (-5)\/y. What are the prime factors of x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -55. Let y = 36 + z. Solve p = y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31.4 and -491.38?\nAnswer: -15429.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -414 and 41\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 314547931 to the nearest integer?\nAnswer: 17735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72 divided by -24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 43*r. Let o(z) = -3*z**2 - 42*z + 9. Calculate l(o(u)).\nAnswer: -129*u**2 - 1806*u + 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4203 - 4201. Let d = 0.02 - 2.02. Which is the closest to k?  (a) -6  (b) 1\/6  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/3 - (-4 - -19). Let u = k - -23. Let n be (2\/u)\/(3\/12). Let o(z) = z**2 - z + 1. Let p(q) = -8*q**2 + 6*q - 5. Give n*p(s) + 6*o(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence whc when three letters picked without replacement from whhwmhfmuhhhwhfcw?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 - 3*a**2 + 4*a + 4. Let f(c) = c**3 - 2*c**2 + 3*c + 3. Let y(v) = 4*f(v) - 3*x(v). What is the third derivative of y(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 59*d**3*m**3 - 2*d**3*m + 5*d**3 + 25 wrt m.\nAnswer: 177*d**3*m**2 - 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2\/2 - 10278*f + 144186.\nAnswer: -3*(f - 14)*(f + 6866)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 747 = -2*r + 5*r. Let w = r + -134. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*a**2 - 3*a - 2*a**2 - 19*a.\nAnswer: 10*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**3 + 14592*r**2 + 14564*r - 87528 = 0.\nAnswer: -3647, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1608913, 10.\nAnswer: 4, 10, 1608913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/((-35)\/(-28)) + 1013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 + -c6da07?\nAnswer: -c6da01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c3 (base 16) to base 2.\nAnswer: 1011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -19, -7, 19, 65?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 980, 119, 2, 0 in decreasing order.\nAnswer: 980, 119, 29, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 398.8 - 398.79. Put 4, h, 80, 3 in increasing order.\nAnswer: h, 3, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34441, 34209, 33821, 33277, 32577?\nAnswer: 31721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1253758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 433 - 429. Let h = -4 - -8. What is the first derivative of -6 + f**h - 2 - 2*f**p + 3 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*o**3*r**3 + 92*o**3*r - 3*o*r**3 + 7*o*r wrt o?\nAnswer: 24*o*r**3 + 552*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2175 - 2.\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-7) - (-1 - 5\/(-7)). Solve -4*r + 12 = -3*q, 4*q - o*q - 5*r = -15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 2*t**2 - 4*t + 3. Let n be r(1). What is the third derivative of -2*k**3 - 14*k**n - k**3 - 7*k**3 + 4*k**3 wrt k?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 460 + -320. Is 48\/32*g\/6 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*s - 7. Suppose -5*q + 0*l - s*l + 44 = 0, -q + l + 7 = 0. Calculate the remainder when 29 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vytntncnnntc. What is prob of sequence vnnt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 14\/24751, -0.2, 2\/11, 8 in decreasing order.\nAnswer: 9, 8, 2\/11, 14\/24751, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/20)\/(8\/480*3). Solve -o*w + 3*j - 2 = -11, 0 = -2*w - 2*j - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2133210 (base 4) in base 3?\nAnswer: 112000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j + 23*j + 6*j + 8*j.\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 221 = 5*h, 186 = 5*h - 4*f - 37. Let t = -425 + 425.1. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 25, 4, 2, -404?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**4 + 16*w**3 + 39*w**2 = 0?\nAnswer: -13, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 644 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 5:16 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 149*g - 1256. Let v be s(-9). Solve -3*k + 8*d = 6*d - 10, d + 10 = v*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 2*h = 2, -i + 3*h = 2*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/12*(-2)\/(-4)*-7*4\/315.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 minutes after 1:56 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*v**2 - 42*v**2 + 2*v - 2*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 221478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**2*o*v - 12*j**2*o - 46*j**2*v - j**2 - j*o - 2*j*v with respect to v.\nAnswer: -2*j**2*o - 46*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -22, 7.8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 273 and 69.\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -4*f - 1\/20*f**5 - f**2 + 1\/2*f**3 + 0 - 1\/6*f**4. Let v = -4 - -1. Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -198224, -792884, -1783982, -3171518, -4955492, -7135904?\nAnswer: -9712754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20*(-20)\/2400*-27?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 11:14 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0)**(-9\/11)\/(r*(r\/r**(-5)*r)\/r*r**(-2\/19))*(r**(-1\/5)\/(r\/(r*r**5)*r*r))**30 assuming r is positive.\nAnswer: r**(1465\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -589 or -591?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 16\/15, 11, -0.3, -0.2, -28 in decreasing order.\nAnswer: 11, 16\/15, -0.2, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 131.7  (b) 0.076  (c) 0.04  (d) 0.3  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 8*y**2 - 2*y - 2. Let v = 13 - 14. Let o be v*(3 - (-3 - -7)). Let a(m) = -m**2. Calculate o*j(w) + 6*a(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1444708\/47102655 - -1\/68763. Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3724894 is divided by 1355.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*o + 4*x + 13, -4*o - 5*x - 11 = 0. Let c be 1 + o\/(4\/(-3)). Suppose c*h + 4 = 3*p - p, -p = 5*h - 23. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1498, 2998, 4498?\n\"Answer: 1500*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(-1\/10))\/(h*h**4\/h))\/((h\/(h\/(h\/(h*h**(-2\/3)))))\/h**(-1\/6)))\/(h**(-8)*h**(-3\/10)*h)**37 assuming h is positive.\nAnswer: h**(1597\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 883 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/25 in 227, -4\/3, 57, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 - 4184 = -16*z. Calculate the least common multiple of 33 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2826 and 11?\nAnswer: 31086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 1\/3*n**4 + 0*n**5 - 1\/15*n**6 + 0 + 3*n + 0*n**2 + 0*n**3. What is the third derivative of h(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/11 in 2, 118\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 706599303 to the nearest integer?\nAnswer: 26582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -163 - -247. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -1 + (12 - 3) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 - -2)*1*-1. Let m be (1*(-2 - (3 - o)))\/(-2). Let i be -1 + m + 8\/2. Solve 3 = i*r - 1, 4*n + 5*r = 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 - 2*g**4 + 2*g + 24130 - 9*g**3 - 24129 + 3*g**2 in the form f*g**4 + o*g**2 + l*g**3 + t + r*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 17 = 341. Is (-12)\/i + 4256\/36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z. Let v(j) = -4*j**3 + 4*j + 3*j**3 + 0*j**3 - 3*j - 1 - 2*j**2. Let t be v(-2). What is a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42827 and 1356.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 571979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, u: 4, d: 3, b: 2}. What is prob of sequence vv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -5*d**2 + d + 11. Suppose -s - 72 = -86. Let l = s + -3. Let i(k) = -k**2 + 2. Give l*i(y) - 2*v(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 + 1602108928.5953\nAnswer: 1602108929.0953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*c*r**5 + 24196178*c*r**2 + 1628*c*r - c - 42*r - 134 wrt r?\nAnswer: -160*c*r**3 + 48392356*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, l: 3, d: 3, p: 1, o: 1, n: 1}. What is prob of sequence ld?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 18634879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8910995 - 8*u**2 + 8910995.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 11 = -2*z, 5 = -z + 3*q + 16. Let k = z - 2. Let i be (-4 + 0)*(-1 - k). Solve 4*d + 8 = 0, i = -4*f - 4*d - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1624 and 1846152?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -11. Suppose -o + 1 + 2 = b. Solve 0 = o*u - 2 - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + -1)*1\/(-2). Let g be ((-6)\/12)\/(j\/(-6)). Solve 3*q - 3 = k, -g*k + 3*q = k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 227442439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1)\/p*p*p)**(-3\/34)\/((p**2*p)\/(p**(-1)\/p))*(p**(-1\/2)*p**5*p*p)**(-4) assuming p is positive.\nAnswer: p**(-1057\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 137257607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 960650  (c) -5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -4*l - 5. Suppose 4*d = -8 - 4. Let m(t) = -10*t + 6. What is the remainder when m(d) is divided by q(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 - 2*h**3 - 10 - 2*h**4 - h**2 - 13 + 20 - h - h**3 in the form c*h**4 + x + z*h + a*h**2 + w*h**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 53172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31366435811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 182*q**5 + q**3 + 9*q**2 - 5 wrt q.\nAnswer: 10920*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 38399874.1 rounded to the nearest 10000?\nAnswer: 38400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 519 divide 503706108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + y - 20, -k + 0*y + 2*y + 5 = 0. Suppose u - 4*d = 8890004, u - 8890005 = k*d - 0*d. What is u rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10038.2774 + -10038. What is l rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 835, -1, 0, 4, 28, 5 in descending order.\nAnswer: 835, 28, 5, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1093284?\nAnswer: 2, 3, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeddddddddde. What is prob of sequence eed?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5336149175204 + -0.09.\nAnswer: 5336149175203.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*n**2 + 48819*n - 2*n**3 - 48820*n + n**3 + 8 + 2*n**4 to b*n + y + m*n**4 + p*n**2 + i*n**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and -3.5031.\nAnswer: -3.9031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 11*m - 2. Let q be j(10). Suppose -20 = -2*h + q. What is the remainder when 55 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-16 + 1073595\/(-76))\/((-2)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -5*w**2 + 3*w + 14. Let f be 216\/52 - -4*1\/(-26). Suppose 3*r + 15 = -18. Let u(g) = -2*g**2 + g + 5. Determine f*y(l) + r*u(l).\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*m**3*o**2*w + 16*m**3*o*w**3 + m**3*w**3 + 2*m**2*o**2*w**3 - 2*m*o**2 - 2*m*w - 8*w**3 wrt m?\nAnswer: 12*o**2*w + 96*o*w**3 + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4521842, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -124*u**3 + 16*u**2 + 6. Let l(s) = 8*s**2 - 1. Let x(t) = f(t) - 2*l(t). Let d(n) = -41*n**3 + 3. Determine -8*d(p) + 3*x(p).\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6505 - -6140. Is g not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 74, -3\/43, 0.4?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 366.6 minus 0.092?\nAnswer: 366.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5385.35 - 3.\nAnswer: -5388.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-4)\/40 - (-1262)\/10. Suppose 85*c - 91*c + k = 0. Calculate the highest common factor of c and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - -156\nAnswer: 156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 + 5*a**2 - 7*a - 2. Let h be b(-6). Suppose 0 = p - h*p - 3. Let k be (3\/6)\/(p\/(-6)). Solve -k = 2*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2056 and 20540?\nAnswer: 10557560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 5 - (5 + 11 - 20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -2*j - 18, -13*j - 7 = -4*b - 10*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 805743142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 4417897.909 to the nearest 100.\nAnswer: 4417900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 6:58 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -11333034?\nAnswer: 11333033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04389 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 24074 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((19600\/84)\/14)\/(25\/30).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*y + 125 = -215 - 52 - 196 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (0 - 1) - (12 - (-2336)\/(-240))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3\/14, -0.3, 668?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 4*a - 20, 3*h + 7 = 3*a - 8. Suppose 0*p + 4*z - 4 = p, h = 5*z - 10. Solve -5*m - p = -3*m - 4*r, -r = -2*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2 - 3*i**2 + 3*i**2 + 3*i**2 - 3*i. What is the units digit of c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 380*t**2. Let n(k) = 10*k + 6. Let b(m) = 37*m + 22. Let h(z) = 6*b(z) - 22*n(z). Calculate h(y(r)).\nAnswer: 760*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9101.00032805 - 9101. Round r to 6 decimal places.\nAnswer: 0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1971 a factor of 175322863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 4*j**2 + 3*j. Let p = -7 - -5. Let z be l(p). Let o(m) = 0 + 5 + 10*m + m**z - 3 - 4*m. Calculate o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19928 and 7216427?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 2c?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-32)*16\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/8 and 4\/(-6) + 723\/(-90).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 2*g + 4 = -19*p + 126, 4*p + 78 = -g + 4*g + p for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3 = -2*f - 2*f, -4*f = -3*k + 31. Let o = 10 - k. Let t = o - -17. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 178, 632, 1352, 2338, 3590?\n\"Answer: 133*v**2 + 55*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 551 (base 16) to base 7.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 733.7 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 4 + (sqrt(180)*3 - sqrt(180)) - (-2 + -3*sqrt(180)*-1))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2395904 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -3*d**3 - 3*d**2 - 5*d + 3. Let w(u) = -6*u**3 - 5*u**2 - 9*u + 5. Determine -5*l(c) + 3*w(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -11*x - 25. Let z(a) = -a**2 + 6*a + 4. Let q be z(6). Suppose 5*k + l = 0, 0 = -0*k + 2*k + q*l. Put k, -1, x in descending order.\nAnswer: k, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 3*y + 18, -y = 5*f + 4*y - 10. Suppose -f*g = -0*g. Suppose -p - 4*j + 18 + 8 = g, 16 = p - j. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 14 = -6. Let p = -2 - g. Factor -x**p - 3*x**3 - x**4 - x**2 - 3*x**3 + 5*x**3.\nAnswer: -x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 6 = -8*f + 3*f, 3*k - f = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/642)\/((-6)\/(-4)). Let u = -97\/535 + v. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9569412.\nAnswer: 2, 3, 227, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 992 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -0*l + 71. Suppose 0 = -2*t + 183 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4923711, 4923701, 4923679, 4923639, 4923575, 4923481?\nAnswer: 4923351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2483\/6 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1229 by -142.\nAnswer: 1229\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n - n)*(0*n - 4*n - 6*n + 4*n - n - n + (2*n + n - 2*n)*(-1 + 2 + 0)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 12*l**2 + 47*l - 54. Let n be z(15). Let t(h) = -4*h**2 - 154*h + 29. List the prime factors of t(n).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -88 and -4.84115?\nAnswer: 426.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 33. Let g = -2583\/6682 + 1\/514. Let s = g - -23\/26. Is s at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 4*w - 56, 83*x - 46 = -3*w + 87*x. Let u(c) = -5*c - 4. Calculate the remainder when u(-6) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 377, 1710, 5325, 12362, 23961, 41262?\n\"Answer: 190*b**3 + b**2 + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 97*b**2 + 185*b + 500. Calculate the remainder when 258 is divided by p(95).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -4\/3, 2, -23, 1, -0.24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from kskkksmmkmkmbmkmks.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 1. Let x(b) = -17*b + 6. Determine -3*d(p) + x(p).\nAnswer: -14*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/40*(35\/63)\/(36\/162).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/3*(5025 - 5006)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.5 greater than or equal to -699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/4365342 and 59\/7275570.\nAnswer: 21826710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17385 and 22059.\nAnswer: 6727995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = u - 4*u. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -206335, -412467, -618599, -824731, -1030863, -1236995?\n\"Answer: -206132*y - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -109785.5755.\nAnswer: 109785.5755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-6))\/(14 + 11899\/(-876)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 2. Suppose -i + p - 3 = 0, 5 = -5*n + 5*i. Suppose -q + 7 - 4 = n. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-17))**(-8\/11)\/((i**8\/i)\/((i**(-2\/5)\/i)\/i)) assuming i is positive.\nAnswer: i**(163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + -4. Let s(n) = 2*n + 7. Let v be s(c). Suppose -3*d - 4*g + v = 0, 2*d + 2*d + 3*g - 46 = 0. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0719418*446.\nAnswer: 32.0860428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, -7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16230402 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 10.6. Which is the third biggest value?  (a) v  (b) 0.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42796 + -94596. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 4*g**2 + 3*g + 1. Let y be a(3). Suppose 0 = 15*z - 14*z - y. Solve 6*u**2 + z + 2*u**3 - 5*u**3 + 5*u**3 + 1 + 6*u = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.8806 * 0.018.\nAnswer: 0.0158508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 4 = 0, 65*n = -5*m + 62*n + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -974 * 3.\nAnswer: -2922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 475 - 468. Solve -s = i - 2*t, 3*i - 12 - 2 = -t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6905*u**2 - 9551*u**2 - 4105*u**2.\nAnswer: -20561*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 11 = 5. Let x = 91 + -38. Suppose -2*t + 17 = -3*t + 2*v, -5*v = -4*t - x. Does o = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - k + 250. Let b be p(0). Is (b\/(-4) + -1)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence waq when three letters picked without replacement from {a: 3, q: 3, j: 7, w: 6}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/(-30) + 1 + 13\/(-65).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 + -8 - 13) + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/24)\/(2\/(-8)). Suppose -2*d + 5 = t. Let v(g) = 6*g - 1. Determine v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + 1 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8.43  (b) -0.1  (c) 2  (d) -4  (e) 3  (f) 1\/3  (g) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*r + 18 = -23, r = -3*c + 95. Solve -49*i + c*i = 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47422166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -53?\nAnswer: 14\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t**2 + 28*t + 7. Let s(x) be the second derivative of x**4\/12 - 7*x**3\/3 - 3*x**2\/2 + 62*x - 2. Determine 3*q(o) + 7*s(o).\nAnswer: o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 47985991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 240 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y. Let v be m(0). Let a(k) = k**3 + 6*k**2 + 6*k + 2. Let b be a(-5). Put b, v, 1 in increasing order.\nAnswer: b, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/4 - 320605*g\/4 + 1282484.\nAnswer: -(g - 16)*(g + 320621)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a**2*c**2 - 24065455*a**2 - 501*a*c**2 - 112669*c - 4 wrt c?\nAnswer: 2*a**2*c - 1002*a*c - 112669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(85)\/(sqrt(10)\/sqrt(2)) + -1)*1*-3)**2 + 4.\nAnswer: -24*sqrt(17) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150099 - 291584.\nAnswer: -141485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 748 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -891 - -844. Let c = -34 + 34. Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 2*n**2 - n. What is the remainder when 5 is divided by k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence za when two letters picked without replacement from anznzaanbaaanazab?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*w + w - 5*w)*(4 - 6 + 1) + 0 + 2*w + 0 + 2*w - 7*w + 3*w)*((2 + 3 - 3)*(2 + 1 - 1) + 3 + 5 + 11)*(w - 2*w + 0*w).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 12:04 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2876 - -2908. What is the remainder when 703 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 21*p - 481. What is the remainder when 149 is divided by o(37)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 547*i**4 - 545*i**4 + i**2 - 4*i**3 + 2*i**3 to the form n + t*i**2 + u*i**3 + w*i**4 + q*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 18 = -5*h - v, -10 = 5*v. Let w be (-6)\/(-8) - 69\/h. Let u = w - -3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/113  (b) 0.2  (c) 0  (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((98 - 181)\/(-415))\/((-1)\/((-110)\/14)). Let y be 3\/(-2)*-2*1. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 11715\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*n = -37*n - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 6. Let i be 868\/36*3 + 4\/(-12). Let k(r) = 9*r**3 - 3*r**2 + 3*r - 2. Let m be k(2). Let y = m - i. Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/6*(-312)\/(-182)*1\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of h**5\/10 + h**2 - 5*h + 3. Let z(n) be the first derivative of s(n). Differentiate z(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -290e886 + 1?\nAnswer: -290e885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 75, 7*g - 8*l = -2*g - 0*g + 120 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*i + 21, 1 = 3*i + 6*h - 2*h. Suppose -9*a + 60 = i*a. Let d = -21 - -24. Solve -2 = -a*y + t + 10, d*t + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -13*t**3\/6 - 9*t. Let z(k) = -2*k. Calculate z(s(y)).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 + 3*o**2 - 3*o**2 + (3 - o - 3)*(-o + o - 3*o**3).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2*q - 5)*(-3 + 2 - 1 - 2 - 2 + 5 + (0 + 0 - 1)*(-3 + 1 + 1) + 2 + 2 - 6) in the form l + u*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 2*w + 15. Let k be 4\/((-20)\/8 - w). Let f(v) = v**2 - 9*v + 8. Let o be f(k). Solve o = 2*b + b + a + 1, b - 3*a = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-10)\/15)\/((-2)\/1077). Suppose -2*m - 9411 = -k. Let q = -24526 - m. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -42, 5, 12, -6, 1 in ascending order.\nAnswer: -42, -6, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 110 - (128 - 205 - -182)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -72 + -6 + 21 - -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 r when four letters picked without replacement from {r: 3, c: 2, u: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -4*i - 3*f - 8, 10 = 4*i - 3*f. Suppose -4*c + 6*c = -6. Let d be i\/(-2*c\/(-6)). Which is greater: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2340 - 2392) + (-1 - 30).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 398 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 10:26 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3324154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**5)**(5\/8))**1 assuming j is positive.\nAnswer: j**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62\/1471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*w**4 + 3*w**3 + w + w**2 - 2*w**4 - 2*w to the form x*w**3 + k*w**4 + d + i*w + s*w**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 186791534 to the nearest integer?\nAnswer: 13667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 8*o**2 + 6*o - 5. Let w be b(-7). Suppose -w*v - 1 = -y - 4, 7 = -y + 4*v. What is the third biggest value in -5, 4, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a2100b (base 12) in base 7?\nAnswer: 30342362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.14758 + -2.14758. Let r = -122356\/131 + 934. Which is greater: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 820233373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23*b*n**3 - 138*b*n - 2*n**4 wrt n?\nAnswer: -138*b*n - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9706.042 - 9706. Which is the closest to 0.1?  (a) 5  (b) 0.4  (c) 3  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = 3*b - x - 32, 3*x - 61 = -4*b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -42*o**3 - 30*o**2 + 296*o + 11. Let r(z) = -38*z**3 - 27*z**2 + 296*z + 10. Give -10*m(k) + 11*r(k).\nAnswer: 2*k**3 + 3*k**2 + 296*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 2*p + 1. Let b be k(1). Let u be -2*(-3 + b) + -1. Solve u*t - a + 15 = 2*t, a - 5 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5971*r + 4 - 253*r - 4.\nAnswer: -6224*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2091 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.42 * -0.507\nAnswer: 0.21294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 15*l - 40. What is the closest to -0.2 in 2\/13, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3370*u + 2. Let f(g) = -1431*g**2. Determine o(f(i)).\nAnswer: 4822470*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*f = 25*f - 13169 + 14249 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/9 + 0)*(-117)\/(-26). Determine s, given that -4\/5*s**a + 0 + 4\/5*s + 12\/5*s**3 - 12\/5*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/12 - v**3\/3 + 3*v**2. Let w(s) be the first derivative of l(s). What is the units digit of w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-321094)\/49672 - (-45)\/(-35)) + (0 - 14\/2).\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 2. Let x = -5 - -5.5. Let y = x - f. Sort 1\/5, -3\/4, y in descending order.\nAnswer: y, 1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10216114 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -61*y - 5. Let d be k(-1). Suppose t = d - 53. Suppose -s = 2*o - 3, t*s - 10 + 1 = -2*o. Solve f + s = 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8992876.\nAnswer: 2, 311, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**5 + 3 - 3)*(-9084 - 2733 - 5379).\nAnswer: 17196*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-1 - 26)\/3. Suppose -4*h + 8 + c = -3*x, -4*h = x - 37. Let i be 0 + -1 + 8\/h. Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -24*h**2 + 2. Let c(v) = -22*v**2. Determine u(c(s)).\nAnswer: -11616*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/40817775 and -139\/132.\nAnswer: 1795982100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -8. Suppose n*b - b = 476. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3723*k. Let f(s) = -32*s**2. Calculate l(f(d)).\nAnswer: 119136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -88*m + 884. Is t(9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/80 and 99\/340?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/108 and -103\/20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*n**2*y + 1305618*n**2 + 3059266*n*y**4 wrt y?\nAnswer: 2*n**2 + 12237064*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79849779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 11880, 94992, 320544, 759756, 1483848, 2564040?\n\"Answer: 11870*a**3 + 22*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 - 14. Let w(k) = t*k**2 + 62 + 93*k**2 - 183*k**2 + 15*k. Is w(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.038 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0342657303 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 8*o - 42. Let r be j(12). Let i = r + -52. Solve -a = i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1457*w - 1433*w + 2909*w as s*w + c and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/30)\/((-24)\/80 - (-2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/5))**(-17))**(-1\/9)\/((l\/l**(-2\/9)*l)**(-4\/17))**40 assuming l is positive.\nAnswer: l**(1842\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of u**3\/6 + 7*u**2\/2 - 322*u. Let a(l) = l**3 - 5*l**2 + 5*l - 3 - 2 + 1. Let g be a(4). Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -603916.396 and 0.5?\nAnswer: -301958.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t + 4*w - 20 = 0, -3*w = -3*t + 75. Suppose t = 2*g + 6. Let v(a) = -a**2 + 6*a + 1. Calculate v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 6 = -1, 6*k - 3*k = -7*k - 3*u + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3879972?\nAnswer: 2, 3, 107777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4 - 16. Let r be (-24)\/18*y\/(-8). Let u be (r + 3 + 0)\/((-4)\/(-12)). Solve -4*s + u + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 8*p**2 + 7*p + 8. Let t be 7*8\/((-40)\/(-5)). Give i(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r*v**2*z**2 + 31*r*v + 28*r*z**3 - 3*v**2*z**3 - 2*v*z + z**2 wrt z.\nAnswer: 168*r - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143221 is divided by 1077?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -2 - (22 + -18 + -2)) + 29 - -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2624 = -4*u + 4*g, 4*g = 2*u - 0*u - 1314. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4243\/149 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1fde - -4?\nAnswer: -1fda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3464285584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/9)\/((-3)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-9)*(-6)\/(-28)*-2*21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 2\/9, 4092?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1781 - -1781. Suppose l + 10 = -4*l. Let j = -0.035 - -0.125. What is the third smallest value in w, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101 - 10445.\nAnswer: -10546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 9) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -158*w**2. Let k(a) = 6*a. Let s(h) = h. Let f(l) = -k(l) + 2*s(l). What is f(t(z))?\nAnswer: 632*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**2*k**23 assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 543 is divided by 297?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -10*(-5)\/10 + -5. Solve t = 4*h + 9 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33.29 + -0.71. Let v = -34.0000041 - k. What is v rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16023 and 28749.\nAnswer: 21935487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10824816 and 360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.220920118 to three dps.\nAnswer: -4.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -227, 4, -6 in decreasing order.\nAnswer: 4, 3, -6, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18)\/21 - (-1972)\/3248. What is the nearest to c in 0.3, 242, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qqqhqhqqqhhhh.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 250 a factor of 37475108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 9:26 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/((-2835)\/(-36)))\/((-12)\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**3\/6 + 7*o**2 - o. Suppose 110 = 5*w - 16*w. Let t be a(w). Solve 35 = -4*d - 0*i + 5*i, -t*i = -4*d - 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, -627.\nAnswer: -627, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**3 + 4*s**2 - 32*s - 5. Let f be h(-10). Suppose 6*y = 4*y - 3*a + 1355, -f = -4*y - a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 22.71, 2, -0.6, -188, -1 in descending order.\nAnswer: 22.71, 2, -0.6, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, b: 7, f: 7, c: 3, r: 1}. Give prob of picking 1 c, 1 l, and 2 b.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 189 (base 16) in base 3?\nAnswer: 112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u**2 - 3*u + 2. Let m be n(3). Let s = -43 + m. Is 12 a factor of (-500)\/s - 20\/(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 312*f - 5539. What is the remainder when g(19) is divided by 90?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 7 = s, 4*p = -2*s + 26. Suppose h + 17 - 3 = -5*j, j = -2. Sort h, -3, p in ascending order.\nAnswer: h, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15903 - -15843. Which is smaller: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m - 1. Let w(x) = -18 - 52*x + 15 + x**2 + 8 + 50*x. Give -2*c(a) - w(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2 + 257*a + 199 with respect to a.\nAnswer: -4*a + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 + g**2 - 4*g**2)*(-1 + 0 - 1)*(208*g + 309*g - 113*g).\nAnswer: 3232*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -733972\/213 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -134 - -291. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*n - 8*n. Suppose 2\/7*q**n - 6\/7*q**3 - 4\/7 + 6\/7*q + 2\/7*q**2 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - t + 4*t)*(0*t - 18*t**4 + t + 20*t**4).\nAnswer: 4*t**5 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 23081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13028 is divided by 2311?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -143 + 127. Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/6)\/z**(-1))\/(z**(3\/2)\/z**3))\/((z**(-1))**(-2\/31))**(-19) assuming z is positive.\nAnswer: z**(331\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 = o - 410. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -72*i - 36. Let h(x) = 46*x - 177*x + 51*x + 50*x + 32*x. Give o(h(z)).\nAnswer: -144*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 21336308 - -3.74\nAnswer: 21336311.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 1:14 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 4*r - 1360 - 908, 1149 = 2*k - 3*r. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -6, 24, 3, 4, 2, 5.\nAnswer: -6, 2, 3, 4, 5, 19, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4212 - -4230. What is the remainder when 118 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**3 - 2*b**2 + 1 + 0*b**2 + b**3 to o*b + m*b**2 + w*b**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 160857717947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -o - o + 1454, 3*o = 3*l - 1113. Suppose 0 = -3*p + x + 532, 5*x - l = 2*p - 4*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.1, -1\/9, -1\/2, -0.1687, -0.2, 57?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kekrirr. What is prob of picking 1 e and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.991 - 9. Let a = u - 1.111. Let v = a + 0.12. Put v, 0.4, 0.02 in decreasing order.\nAnswer: 0.4, 0.02, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -6\/13 and -29\/54655666.\nAnswer: 54655666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 7:33 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000049881927 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3\/2, 207, 1598, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**5 - 7*i**4 + 6*i**3 + 28*i**2 - 40*i = 0. Calculate i.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1353433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8708851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -5*y**2 + 2*y + 1 - 2 - y**3 + 0 - 7*y. Let v be m(-4). Let z be 1\/(2 - 52\/28). Solve -3*q - 6 = -v*i, 0 = -4*i - 3*q + z - 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103 + 20 - 239 = 23*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ewaa when four letters picked without replacement from {v: 2, w: 4, b: 8, e: 2, a: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 466 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 132732567 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/5 + (-17)\/(-20). Let a(r) be the second derivative of -h*r**4 + r + r**2 + 0*r**3 - 1\/20*r**5 + 0. Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -19 and -2.99?\nAnswer: 16.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40574 = 90*c - 203474. Calculate the greatest common factor of c and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -0 - 2. Let n(s) = 185*s**2 + s + 1. Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7.3?  (a) 0.4  (b) 2\/13  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 - -24. Suppose -10*k + 56 + 404 = s. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2632 is divided by 1995?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/340469 or -1?\nAnswer: 2\/340469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 146?\nAnswer: -5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 4*x - 8 = 0, -5*y - 1 = -4*x - 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 76583321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/7)\/w)**17)**17 assuming w is positive.\nAnswer: w**(-1445\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**15\/y*y**(2\/3))\/(y\/y**(2\/39))**(7\/6))**(1\/18) assuming y is positive.\nAnswer: y**(3173\/4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*(-56)\/(-288))\/((900130\/(-700))\/(-167)).\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 5*l**2 + 8*l - 8. Let x be w(6). Solve x*r = -9 + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 488176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -74808742.0000115 + 74808700. Let l = 0.09 + -42.09. Let r = h - l. What is r rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(1872) + (sqrt(1872) + -2 + sqrt(1872) - sqrt(1872)) + -5 + (-2 + sqrt(1872) + 3 - sqrt(1872)) + -2)*1)**2.\nAnswer: -384*sqrt(13) + 7549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x + x - 3*x + 74 = -4*h - 9, 0 = -4*x + 2*x + 2 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (126 - 2*o + 216 - 274)*(-5 + 1 + 3)*(-4 + 1 + 5 + (5 - 4 + 1)*(0 + 2 + 1) + 2 + 1 + 2) as m*o + g and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23760 (base 8) in base 14?\nAnswer: -3a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -9*u - 1011. Let l(y) = -937*y. Give w(l(c)).\nAnswer: 8433*c - 1011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, c: 2}. What is prob of picking 1 c and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -400 + 400 - d - 3*d**3 + d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**3 + 39*p**2 + 19*p = 0.\nAnswer: -19, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*j - 141*h + 140*h, 0 = 3*j + 5*h - 5. Put j, -5, -48, -3 in increasing order.\nAnswer: -48, -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.795 + -4.7950008615. What is u rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -9 + 4*v - 6*v + 3*v. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52454, 104896, 157338?\nAnswer: 209780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 141987 (base 10) to base 6\nAnswer: 3013203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 9:11 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12.4 - -8.4. Sort -1, a, -1\/4, 14.\nAnswer: a, -1, -1\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -359 - -5?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 422866.\nAnswer: 2, 211433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 2  (c) 24\/13  (d) -12  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -55842.5789 - -55835. Let f = -342.7319 - p. Let o = f - -335. What is o rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 5 + 1 + 32*q**3 + 3*q - 25*q**3.\nAnswer: 7*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51841356 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 2*z - 60. Let t be (-2 - -1) + z\/(-5). Solve -t*q = -21 - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -323 + 337. What is the remainder when 250 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 4*f + 3. Let p be o(-2). Put p, -5, -3 in increasing order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 2, -69, 3 in increasing order.\nAnswer: -69, -1\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 8, -2648, -736 in descending order.\nAnswer: 8, -3, -4, -736, -2648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-6) + 6\/9. Suppose -5*i - 2*p = -30, -i - 3*p + 9 + 10 = k. Let s = 29 + -9. Calculate the smallest common multiple of i and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o**2 + 22. Let i(u) = 3585*u. What is r(i(n))?\nAnswer: 38556675*n**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1 - 5)\/(-4) - 19\/22 and 33\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*g**3*r**3 - 52*g**3*r**2 + g**2*r - 7084*g - 40640*r**5 + 3*r**3 + 3*r**2 + 2 wrt r.\nAnswer: -186*g**3 - 2438400*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 1044\nAnswer: 1\/522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 12*o - 20. Let z be l(3). Let t = 7 + -5. Suppose p - 12 = t*i, -2 - 2 = i. Solve -4*m + z = w, -4*m + 8 = -2*m - p*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, m: 9, o: 1}. Give prob of sequence mvo.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1251 - 456. Suppose -u + f = c, 2309 + 68 = 3*u + c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (208 + 203 - 45*y - 409)*(9 - 83 + 14) to o*y + i and give o.\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -4*a + 35. Let s(y) = -y + 12. Let f(h) = -3*b(h) + 8*s(h). Let c be f(4). Let w(x) = -x**3 + 6*x**2 + 3*x + 9. What is w(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 191*d - 18. What are the prime factors of v(3)?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*4\/(-20) - (-12971)\/560. Let b = s - 7477\/336. Find the common denominator of b and -163\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86869708 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {l: 1, x: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0254487289 to 4 decimal places.\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 83185606*g**2*y**4 - g**2*y - 46128201*g*y**2 wrt y.\nAnswer: 1996454544*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16\/24*((-10649784)\/(-432) + (-2)\/(-9)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 210.56695 - -0.03305. Round r to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 29\/87954?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x + 8 = 0. Solve -4*m + 5*a = 8, x*m - 3*m - a = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 0*n + 0 - 3*n - 3. What is the tens digit of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -242317870124 and 6.\nAnswer: -242317870118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 15780, 31552, 47324, 63096, 78868, 94640?\n\"Answer: 15772*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 29*l - 1264. Let r be g(44). Sort r, -3, -62.\nAnswer: -62, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.8 + -5.1. Round w to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -2*i - 5. Let m = 49 + i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/((n**1\/n)\/n)*n)\/n**(-13)*(n**(-4\/13)\/n)\/(n**(-4)*n) assuming n is positive.\nAnswer: n**(243\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24016 is divided by 4001.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5138 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iwi when three letters picked without replacement from wriqwwrqwwwmwqrqrwrw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (21 + -10)\/(-2 + 593\/296)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -23*w. Let s(a) = -11*a. Let v(x) = 2*x**2 - 19*x - 4. Let k be v(9). What is k*s(u) + 6*h(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 282947028 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-2 + 7 + (5 - 9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 5 + -1 + 4 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2))\/(13 + -14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/8)*z*(z\/(z\/(z\/(z*z\/(z*z\/z**(-2))))))\/z)\/(z**(1\/4)*z*z**0) assuming z is positive.\nAnswer: z**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19239 * 0.6299.\nAnswer: -12118.6461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 4*y - 211 = 0, -17*i + 22*i - 91 - 289 = 7*y - 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 10*t + 3*t)*(-3 + 3 + t**2) - t**2 - 3*t**3 - 3*t - 4*t**3 + 5*t**3.\nAnswer: 9*t**3 - t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 0.1  (c) -4  (d) 2  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 266908 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is k in k**5 - 980*k**4 + 193104*k**3 - 14845426*k**2 + 463233983*k - 4068339786 = 0?\nAnswer: 14, 73, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117 + -119 - (3 - (5 - (-5 + -18))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81346028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-4) + 10\/(-8)*-1. Is -3\/160 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from bdyyeyytttettbybtt?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.7 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3434.529nm?\nAnswer: 3.434529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*c**5*o + 193525*c**5 - 125*c**2*o - 14297*o wrt c.\nAnswer: -1860*c**2*o + 11611500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -12*j - 16. Let s be v(-1). Which is the closest to 0.1?  (a) s  (b) -0.13  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/51))**(2\/61)*(f**(-38)\/f)**(-38\/3) assuming f is positive.\nAnswer: f**(1536830\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -700310477 + -1.722.\nAnswer: -700310478.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(1125) + sqrt(45) + 4*sqrt(405) + sqrt(45).\nAnswer: 3 + 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -96*w**2 + 7*w + 48. Let b(m) = -64*m**2 + 5*m + 34. Calculate -7*b(x) + 5*k(x).\nAnswer: -32*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**3)**4)**(-36) assuming r is positive.\nAnswer: r**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.11, -772, -1.5 in increasing order.\nAnswer: -772, -1.5, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101101010110100011 (base 2) in base 6?\nAnswer: 23115135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -0.2, -89, 0.2 in ascending order.\nAnswer: -89, -0.2, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.0947 - 0.0947. Which is the nearest to -2?  (a) 0  (b) 4  (c) 0.5  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d**2 + 34765*d - 70630*d + 35045*d to n*d**2 + g + o*d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 12*w**2 - 2*w - 12. Let p be h(-12). Solve -2*y = 2*y + p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4 = x, 6*x + 3 = -13*w + 10*w. Which is smaller: x or 2\/2353?\nAnswer: 2\/2353","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 567575170 and -257.\nAnswer: 567574913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16 * 332256.\nAnswer: 5316096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from lazaaaz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14029947 a multiple of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 13, s: 3, b: 1}. What is prob of picking 2 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n**2. Let a(l) = 18*l**2 + 10*l + 5. Let b(x) = -36*x**2 - 18*x - 9. Let q(d) = 9*a(d) + 5*b(d). Determine q(w(y)).\nAnswer: -162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -3 - 3) + -3 - -3. Calculate the common denominator of 5679\/(-630) - (h\/(-10) + -1) and -5\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (3 + -10 + 5 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y + 11. Let r(v) = v. Suppose 4*j - 2*k = -6, 4*j + k - 2*k + 1 = 0. Give j*u(g) + 2*r(g).\nAnswer: -2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128387961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-28) + ((-2082)\/14)\/1. Let j = i - -149. Factor 1\/12*m**3 + 1\/3*m + j - 1\/3*m**2.\nAnswer: m*(m - 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -2*d - 22. Suppose -v = -1, 3*z + 5*v + 10 = d. Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20909 + -20905. Let u(n) = 2*n**2 - 8*n. What is u(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + (4*(sqrt(2) + -1*sqrt(72)) - (-4 + (sqrt(32) - sqrt(800))))**2).\nAnswer: -192 + 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74 by -101367.\nAnswer: -74\/101367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**2. Let h(t) = -12*t + 9*t + 3*t + 0*t + 101*t**2. What is h(x(n))?\nAnswer: 404*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1866, 2, 1, -13 in descending order.\nAnswer: 1866, 2, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 80\/9 of a hour in seconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 633352 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 15*d - 2. Let p be v(-15). Let j be p*((1 - 12) + -2). Calculate the highest common factor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}