{"text":"Question: How many minutes are there between 11:44 PM and 5:02 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*-1*sqrt(130) + sqrt(130) + sqrt(130))\/(sqrt(10) + (sqrt(10) - -1*sqrt(30)\/sqrt(3))))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a. Let b = -2 + 4. Let u(o) = o - 2*o + b*o. Determine j(u(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.16, -14316 in decreasing order.\nAnswer: 0.16, -1, -14316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2334 + 421?\nAnswer: -1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -217479, -434959, -652439, -869919, -1087399, -1304879?\n\"Answer: -217480*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 489\/(-489) + 0 + 2. Solve -21*s + 22*s = l - h, 0 = 2*l + 3*s - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -27*c + 64. Let f(q) = -26*q + 66. Let r(s) = -5*f(s) + 4*g(s). List the prime factors of r(11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -184, -740, -1658, -2932, -4556, -6524, -8830, -11468?\nAnswer: -14432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 11:18 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2201*u + 1 - 1 + 26*u**2 + 2203*u as w*u**2 + v*u + k and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 727407043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 609, 607, 605?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1446189 - -4?\nAnswer: -1446185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/30 + (-1052)\/10. Let v = 94 + b. Which is smaller: -17 or v?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**2. Let p(t) = 262*t - 571. Give p(i(d)).\nAnswer: -1048*d**2 - 571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/797004 and -191\/161460.\nAnswer: 274966380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -16, 0.0813, 5, -2\/5, 1\/2 in ascending order.\nAnswer: -16, -2\/5, 0.0813, 0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-1 + 36\/33). Suppose 3 = 7*v - k. Solve -j + 5*m - 7 = 0, 0 = -v*j - 0*j + m - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10630 times 0.047303?\nAnswer: -502.83089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*g + 1\/3*g**3 + 0 + 0*g**2.\nAnswer: g*(g - 2)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**3 + 2*k**3 - 150*k**5 + 12*k + 200*k + 88*k wrt k.\nAnswer: -3000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1075 - 412. What are the prime factors of p?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (70 + -72)*(375\/10 + 0).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 - ((-1)\/((-4)\/8) - 3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.7 - 13.7. Let t = -8 - s. Which is the nearest to 2?  (a) 2  (b) t  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*o = 12*o - 288 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -u - 10, m - 7 = 4*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49 and 5761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-30)\/4)\/(2 - (-5)\/(-4)). Let o(b) = -4*b + 13. Is o(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*57\/38)\/((-3)\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 209 - 174. Suppose -75 + y = -c. What is the remainder when c is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -219589 and 0.02?\nAnswer: -4391.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 4*i - 18 - 14 = 0, -5*x + 44 = i. Calculate the smallest common multiple of 40 and ((-184)\/(-32) - 6)\/((-1)\/x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 5 + -7)*(-48)\/216.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5763 (base 8) to base 5\nAnswer: 44214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 72979 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 877 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -200320210?\nAnswer: 200320133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -575, 152, 883, 1618, 2357, 3100, 3847?\nAnswer: 4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -579368*m**3 + 2*m**2 + 0*m - 2*m + 579369*m**3 + 3. Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*m = 77*m + 1413 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-2 - -3) - -8 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -5*i**3 + 32*i**2 + 5*i - 13. What is x(7)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(19) + 1 + sqrt(2736)*1 + 5.\nAnswer: 9 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28729543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14509334*p**2 + 90285423*p wrt p.\nAnswer: -29018668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b - b**2 - 3*b - b + 0*b + 2*b**3. Let i be a(-1). Is (-1)\/(3 - i*737\/(-491)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -7*v**3 + 2*v + 1. Let m(h) = h**2 + 2*h - 1. Let d be m(-3). Suppose r - 1 + d = 0. What is w(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 3)*(q - 5*q + 2*q)*(120 + 9 + 77) as o*q + j and give o.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/198 and 64\/293271.\nAnswer: 1759626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -241, -2478, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 1418 = -7*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 433*f**3 + 4*f**2 + 53*f + 7. Let b(a) = 216*a**3 + 2*a**2 + 23*a + 3. Calculate 7*b(d) - 3*c(d).\nAnswer: 213*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -4783?\nAnswer: 4787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 10 - 4)*((-1 - 3 + 5)*(-979 - 35*l + 979) - 3*l - l + 2*l).\nAnswer: -333*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -21696.\nAnswer: 21692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -1173.\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-1)*-4*-138*18\/2592\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -186 at least as big as -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -2*k - 6. Find the second derivative of d - 3*d**4 + k*d + 0*d**4 wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2991\/7 + -800993\/1876. Find the common denominator of 23\/737 and t.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1\/4  (c) -1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 9:46 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (19 - 105) - -126.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 8*n + 3. Let q be (-1)\/(4 + -7)*n. Sort -4, q, -6.\nAnswer: -6, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4796, -4798, -4800?\nAnswer: -4802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32652 (base 7) to base 8.\nAnswer: 20034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12.48 and -9446.\nAnswer: -9433.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4954175 and 33125.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(30))\/sqrt(3))\/(sqrt(30)\/sqrt(24)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/3 - 30236*h\/3 + 10079.\nAnswer: -(h - 1)*(h + 30237)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*u + 1. Let r = u - 2. Is 21 a factor of (0 - r) + (0 - -36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of o**7\/70 - 2*o**6\/25 + 3*o**5\/25 + 404*o. Factor i(h).\nAnswer: 3*h**3*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-523 - -482) + (59 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 3*i = 9. Calculate the common denominator of (-6)\/9*279\/24 and 1180\/(-192) - i\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7 + -150.00706682679.\nAnswer: -148.30706682679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.06 less than -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 994 - -1?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.4 + 7.4. Which is the closest to -2?  (a) w  (b) 1  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a factor of 85477046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1003*x = 2*r - 1006*x - 201, 2*r - 181 = -x. Calculate the remainder when 2603 is divided by r.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yaaayyatyhayaaahtath. Give prob of picking 1 t, 1 a, and 2 h.\nAnswer: 27\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 4*d + 25 = -10, 5 = 5*u - 2*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -540 and -2.\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 10*d**2 - 2*d + 10. Suppose -139 = -10*p - 49. Let q be s(p). Suppose 68*n = q*n - 210. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -269 + 332. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 27\/6)\/((-2)\/(-208)). Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 * 0.16033.\nAnswer: 0.0064132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -207943, -415832, -623721?\nAnswer: -831610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -4*t**2 - 2*t + 5. Let s(x) = -3*x**2 - 2*x + 4. Let u(r) = -3*s(r) + 2*v(r). Let o(q) = q**2 + 2*q - 2. What is -4*o(c) + 5*u(c)?\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -36, -34, -32, -30, -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 3*o. Suppose 2*x = -4*g + 234, o*x - g + 228 = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/7*4\/((-16)\/12). Which is the fourth smallest value?  (a) -4  (b) 3  (c) 4  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*d + 11*d - d**2 + 5*d - 5*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 52, 4, 39?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70129.\nAnswer: 19, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19700 - 19646. What is the remainder when b is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*w + 93*w**3 + 189*w - w**2 + 27*w**3 + 2*w**3 + 13.\nAnswer: 122*w**3 - w**2 + 138*w + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -544 + 94 = -5*t. Is 12 a factor of (2\/(-5))\/((-2)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32762 is divided by 1843.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (1 - -2) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - -5.5. Let l(x) = -x**3 + 17*x**2 + 19*x - 16. Let n be l(18). Which is the nearest to -1?  (a) 0.3  (b) w  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -10*r - 12. Let z(w) = 11*w + 16. Let f(g) = 4*s(g) + 3*z(g). Suppose -5*x - 4*l - 1 + 16 = 0, 4*l = 0. Let h(o) = x*o - o + 0*o. Calculate f(h(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/271895?\nAnswer: -2\/271895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40.787 - -61.78612. Let x = c + -21. Round x to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 7*t**2 - 24*t + 16. Let n(b) = -3*b**2 + 12*b - 10. Let s(j) = -7*n(j) - 4*x(j). Let q(z) = 8*z**2 - 12*z - 7. Give -5*q(v) - 6*s(v).\nAnswer: 2*v**2 - 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 964, 1939, 2914, 3889?\n\"Answer: 975*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 400 - 399.97948. Let b = 0.02 - g. What is b rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2122 - 2?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3573 - 2918. Which is bigger: 658 or t?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, 126 in increasing order.\nAnswer: -6, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 106355229 bigger than 106355228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2954155633?\nAnswer: 11, 13, 31, 257, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*3\/63*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 8:52 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 75940.36l?\nAnswer: 75940360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 4*o - 3. Let i be -1*((-1)\/(-1))\/o. Let z = -2\/2081 - -12508\/22891. Which is the smallest value?  (a) i  (b) z  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.87 - -1.13. Put p, 1\/3, -12 in descending order.\nAnswer: p, 1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**3 - u**2 + 3*u + 4. Let i be c(-1). Solve 0 = -3*w + 4*p - 5, 3*w = -i*p - 2 + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v - 15*v + 190117 = 4*a, -a - 190127 = -5*v. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + 6 - 6)*(-5 - 8*f**2 + 5) - 4*f**3 - 9*f**3 - 3*f**3 to the form a*f + k*f**3 + i*f**2 + h and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3*v + 72 - 27 = 0, 24 = 2*h + v. Suppose 10*z - h*z = -51. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82485, 164925, 247259, 329433, 411393?\nAnswer: 493085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63328955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/67?  (a) -4  (b) 0.0133  (c) -2\/5  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 24\/20 - (-77)\/(-35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 45*t - 11891 - 8015. What is the lowest common multiple of 538 and t?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 9. Suppose 0 = -a*t + 50 + 6. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*m + v + 5, -4*v = -4*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-112 + 112 - 54*p)*(-2 - 1 + 2)*(-1 - 2*p**2 + 1) to z*p + k + q*p**3 + y*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -17048?\nAnswer: -17045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(567) - (-2*sqrt(567) + 5)) + -2 + (-2*sqrt(1715))\/sqrt(5) + -1.\nAnswer: -28 + 121*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 79141 - 4906845\/62. Calculate the common denominator of 53\/10 and v.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + 0.35468.\nAnswer: -0.14532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((36 - 9*t - 36)*(-3 - 4 + 4) + (7*t - 5*t + 7*t)*((-3 + 4 + 1)*(5 - 2 - 2) + 4 - 4 + 3))*(-4 - 4 + 3).\nAnswer: -360*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 11 + r**2 + 6*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002028221 to seven decimal places.\nAnswer: 0.0002028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 426 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 19*o - 2. What is the units digit of h(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 0)*(-7*a + 8*a - a - 7*a).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000011571611 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -112832 + 200923. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a + 1. Let h(k) = -5*k - 2. Determine 2*h(y) + 3*m(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/9, 2\/3, -1\/6, 1\/43, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 22*l**3 + 5*l**2 + 6*l - 33. Does 48 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.61 - -0.32. Let q = -0.11 + b. What is the smallest value in -2\/9, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from cctctttctktdktttccct.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-1)*d))**(-39)\/(d**(-1\/4)*d**7)*(d**(2\/27)*d*d*d*d\/(d**(-6\/11)\/d*d))**(7\/4) assuming d is positive.\nAnswer: d**(1585\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 364933, 729828, 1094653, 1459372, 1823949, 2188348?\nAnswer: 2552533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3\/5026 - 55277\/15078. Suppose -f + 3*f + 8 = m, 1 = -f - m. Does a = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.2  (b) -13  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (-7 + 20) - (-11 + 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**32*c*c)\/c**5)\/(c**(-1\/57)*c*c*c\/(c*c*c**3*c*c)) assuming c is positive.\nAnswer: c**(1882\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -264*k - 266*k - 266*k - 256*k + 1309*k - 259*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2660618 (base 9) to base 8.\nAnswer: -5435625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*q**3 + 58*q**3 + q**2 - 4*q**2 + 2*q**2.\nAnswer: 37*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3023154430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7727?\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -697*y = 278*y - 21450 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - 15. Suppose -255 = 5*m - 4*i, -2*m + i = -r*i + 109. Which is greater: m or -48?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/84 and 41\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 64406 + -3?\nAnswer: 64403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2976\/13 in -3, -40, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/4*(-9)\/45?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2070 * -0.04.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 36944993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102327 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 30*w**2 + 1132*w + 13. Let d(r) = -7*r**2 - 283*r - 3. Let i(g) = 26*d(g) + 6*t(g). Factor i(j).\nAnswer: -2*j*(j + 283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 21. Suppose r + 5 = 5*k. What is the second derivative of -619*h**k + 3*h + 637*h**3 + 18*h wrt h?\nAnswer: 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 19, 42, 73?\n\"Answer: 4*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 525 and 44380?\nAnswer: 665700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12612 - 138734\/11. Which is the nearest to -15?  (a) 5  (b) -2  (c) 8  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1446262?\nAnswer: 2, 43, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a**2 - a - 7. Suppose 0 = 2*k - 16*k - 532. Let i = 35 + k. Let t be m(i). Solve 0 = 5*n + 3*o + 2*o + 45, 3*o + t = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 798089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -1113*m - 59. Let q(a) = 557*a + 27. Calculate -6*p(n) - 13*q(n).\nAnswer: -563*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 - 3*j**3 + 4*j**3 + (0*j**2 + 3*j**2 - j**2)*(-j + j - j) + 9*j**3 - 10*j**2 + 10*j**2)*(1 - 1 + 2*j).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 89923.29 litres in millilitres?\nAnswer: 89923290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -59\/3*o + 3481\/6 + 1\/6*o**2.\nAnswer: (o - 59)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 1) + (-30520)\/(-7700)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -526*w**3 - 814*w**2 + 3176963*w?\nAnswer: -3156*w - 1628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 2593*s**2 + 2560*s**2 - 3)*(3*s**2 + s**3 - 3*s**2).\nAnswer: -33*s**5 - 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 + 135200 + 106*b - 297*b + 327*b + 904*b.\nAnswer: 2*(b + 260)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5627\/4 > 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)\/sqrt(36))\/(sqrt(1100) + sqrt(1100)*-2).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12822.448355628 - -16?\nAnswer: -12806.448355628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 24 = 5*n + 29, -4*n = 3*h + 35. Put -3, 50, n in increasing order.\nAnswer: n, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 4*x + 35. Let i(t) = t**2 + t + 1. Calculate -4*i(z) + w(z).\nAnswer: -3*z**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-4*x**2 + 23449*x - 23435*x + 2*x**2 - 2 - 3*x**3).\nAnswer: 3*x**3 + 2*x**2 - 14*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l - l**2 - 859*l**3 - 1 - 1 + 930*l**3. Let z be k(1). What is the highest common divisor of z and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13755 and 514101.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = v - l, 89 - 91 = -2*v - 5*l. Which is the nearest to v?  (a) -0.09  (b) 0.2  (c) -0.1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*y + 54*y = 36. Let k = y - 36. Let c(f) = -4*f**2 + k*f**2 + 10*f**2. Let q(n) = -n. Give q(c(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 28 = -5*j, -75*d - 3*j + 21 = -72*d. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5082527.\nAnswer: 1289, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 60\/247 or 1?\nAnswer: 60\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - (-43 - -11)) + (-1 - (-10)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*b + 15 = -b, 4*j = -2*b + 14. Suppose 69 = -2*d + j*d. Suppose x + 4*q - q - d = 0, -x + 4*q = -76. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-52)\/12)*323\/(-76).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1053*v - 78*v + 368*v - 743*v - 343*v - 291*v.\nAnswer: -2140*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/666 and -107\/1554?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 468 and 1766934?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, l: 6, y: 7, u: 1}. Give prob of picking 1 l and 3 k.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5790180 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -11*p - 108. Suppose -7*c = 48*c + 660. List the prime factors of j(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0 = 5, -c + 13 = 2*v. Let x = -270 - -287. Let w(o) = -4*o + c*o + o + x*o**2. Let d(f) = -2*f. What is w(d(i))?\nAnswer: 68*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjrr when four letters picked without replacement from rrrjjrrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -53.9 + 54. Suppose 4*u = z + 14, -3 = z + 5*u + 2. Let o be (z\/(-4))\/((-10)\/40). Which is the fourth smallest value?  (a) 0.5  (b) t  (c) o  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 3*v + 4. Let k = 10 - 7. Calculate the remainder when 6 is divided by c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**2 - 2*j + 3. Let o(h) = -2*h**2 - h + 2. Suppose -2*a = 1 + 5. Give a*o(p) + 2*s(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 8*a**2 - 266*a - 1. Let v(n) = 2768*n. Determine v(y(u)).\nAnswer: 22144*u**2 - 736288*u - 2768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aana.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10338411 divided by 5.\nAnswer: -10338411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 3 = -2*g, -4 = -4*g + j + 5. Let t be 2028*((-9)\/g)\/(-6). Suppose 31 = 5*q - t. What are the prime factors of q?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1169293197 to the power of 1\/2, to the nearest integer?\nAnswer: 34195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2081967521?\nAnswer: 23, 90520327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 10:25 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -21323\nAnswer: -10661.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, o: 8, t: 7, m: 1}. Give prob of picking 1 o and 3 l.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10716568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1606909595 and 0.3.\nAnswer: 0.4606909595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 197 = 45. Suppose -21*j = -19*j - b. Let h(o) = 10*o**2. Calculate the remainder when j is divided by h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 1)\/((-5)\/2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78171 is divided by 26035?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -4*w**2 - w - 170. Let a(n) = -15*n**2 - 2*n - 508. Calculate 4*a(v) - 11*x(v).\nAnswer: -16*v**2 + 3*v - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115069.\nAnswer: 23, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 18)*(-1 - (6 + 92\/(-14)))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*n + 4*y + 12, 2999*n - 18 = 3001*n + 4*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4132330 - -20321?\nAnswer: 4203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -23382.0663 rounded to the nearest ten?\nAnswer: -23380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/20)\/((-368)\/(-80040)). Is r != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(66) + -6*-1*sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -6*g + 6594. Let l = g - 435. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 6235760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g**3 + g**3 - 5*g**3)*(2 + 0 - 1) - g + g + 2*g**3 + (-4 + 4 + g**3)*(1 - 2 + 2).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 2. Suppose 6*l - i*l = -3. Let n(o) = 7*o**3 - o**2 - o - 1. Give n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 - -14. Let z be 6\/4*(-8)\/m. Does 15 divide -2*2 + z - -40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, j: 8, l: 8}. Give prob of picking 1 j and 1 l.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)*-3)**2 + 2.\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61009259?\nAnswer: 619, 98561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/(-35)*(-402)\/225. Let x = 12\/25 - k. Let p = -14106 - -14106.09. Which is the third smallest value?  (a) x  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5349880 and 38117895.\nAnswer: 304943160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114339353 is divided by 38113114?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16487456831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 575237879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -2\/13  (b) 4  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/68 and 57\/88.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4860 and 2160?\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16769093?\nAnswer: 11, 23, 79, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 105 = 3*p, -3*p + v = -v + 108. Let h = p - -40. Solve -5*s - 4*g = -9, -3*s - 1 + h = -2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 253*p. Let q(z) = z**2. Calculate q(m(v)).\nAnswer: 64009*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 12*c**2 - 112*c - 25. Is a(-56) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (42\/49)\/(3\/14). Suppose o*r - 472 = -92. Suppose 86*g - 81*g = r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 349 by -349.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2860 and 5368?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -44 - -50. Solve u*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g**2 + 4*g + 3. Determine h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -21 - -16 - (1 + 43 - (21 - (-17 - -30)))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 763616 divided by 13636\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 379098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/(sqrt(704) + sqrt(704) + sqrt(704)*-1))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1878*b**2 - 20 + 0*b**5 - 2026*b**2 - 78*b**3 - 136*b - 20*b**4 - 28 + 2*b**5 - 4*b**5.\nAnswer: -2*(b + 1)*(b + 2)**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 78, -5 in descending order.\nAnswer: 78, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**14\/w)*w)\/w*w**(-6))\/(w**0\/(w*w*w**(7\/3)*w*w)) assuming w is positive.\nAnswer: w**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 22.346\nAnswer: -21.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15833141*c**2 - 668*c + 427 wrt c.\nAnswer: -31666282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -22, 1, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {d: 5, x: 3, v: 1, o: 3}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + -1100?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 72, -2 in decreasing order.\nAnswer: 72, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ysh when three letters picked without replacement from shhllthssystldh?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7745 divide 4855986160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 661874531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50401217 to the nearest integer?\nAnswer: 7099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 139 and 166167272.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 48, -0.13 in decreasing order.\nAnswer: 48, 0, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, y: 5, u: 8}. Give prob of picking 1 u and 2 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -233 - 30205*o + 76 + 80 + 77 to the form l + c*o and give c.\nAnswer: -30205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t - 4. Let i(l) = -l**2 + 7*l + 11. Let w be i(8). Let g be f(w). Find the third derivative of -2 - 1 + 3 - 2*z**g - 3*z**3 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-4 + 2 - (1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16309 and 9798933.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y + 50. Determine o(-12).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*z + 318 = z, 5*z - 231 = -2*v. What are the prime factors of (-4 + v\/21)\/((-6)\/(-1659))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 66363, 132719, 199071, 265419, 331763?\n\"Answer: -2*z**2 + 66362*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*w - w - 15 = 0, 3*w = 4*k - 9. Solve 3*x = -4*v - 4, 4*x + 14 = -v - k*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -1. Suppose 4*y - 42 - 94 = i. Let u(z) = 8*z - 15. Calculate the remainder when y is divided by u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 1536900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or 4590\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-23 - 17*k + 23)*(-k - 4*k + 3*k) + (-4*k + 0*k + k)*(1 - 3 + 8)*(-2*k - k + k) to the form u*k**2 + b + r*k and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 110899 - 11758. Let y = h - 11402637\/115. Let s = 13\/23 + y. What is the common denominator of s and -29\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4510121.7 rounded to the nearest 1000?\nAnswer: 4510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 60 - 12. Suppose 2*p - o = -4. Solve -3*m + p*d - 3 = -4, -2*m - 4 = -5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1362724660?\nAnswer: 2, 5, 11, 31, 199813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 16 + 1. Suppose 5*k + 85 = r*j, 7*k + 43 = 2*j + 2*k. Calculate the greatest common factor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -14*m - 63. Let i(k) = k**3 - 5*k**2 - 5*k + 31. Let n be i(4). Let v be r(n). Suppose -7*s + 15 = -2*s. Solve s*j = l + v, -4*l - l - 7 = -j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**2 - t. Let v(z) = z**2 - z + 1. Let d = 28 - 25. Suppose -r = -2*b, d*b + 2*r - 7 = -0*b. Determine b*v(x) - l(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 10*l**2 + l + 14. Suppose j + 10 = 5*i, -5*j - 4*i + 8 = -0*i. Suppose h = -10 - j. Let b be q(h). Solve 0 = -b*p - 5 + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 4*z**2 - 2*z**2)*(0*z + 0*z - 3*z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = 2*c - 2*k - 24, 0 = -2*c + 4*k - 78. Let f be (1 + (-18)\/14)\/c. Let q = 140 - 141. Is q at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/152141793 and -88\/15.\nAnswer: 760708965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 29 = -4*l + 206, 0 = -2*l + 2*a + 90. Suppose -j + 4*s = l, j + 3*s + 63 = -j. Let r = 22 - j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 2335209.\nAnswer: 16346463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from eeeuouluoku?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11 + -2 + (-4268)\/(-332). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1745416 is divided by 436353.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t**2. Let s(d) = 5059676*d**2. Give a(s(x)).\nAnswer: -102401284899904*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -162*j + 7337. What is x(46)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1062 or -1051?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v - 31. Calculate the smallest common multiple of p(-12) and 18\/2 - 1\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/60*2*(-5)\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -3*d - 8. Let j = 18 + 4. Let l = j + -31. What is the tens digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 84680.413 - 1.7?\nAnswer: 84678.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 92696.029.\nAnswer: 18539.2058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -11*a - 1. Let n(d) be the first derivative of d**3\/3 + 6*d**2 + 34*d - 12. Let l be n(-7). What is o(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -a - 4*a - 2*a - 2*a - 241 - 9*a wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1299*q - 1153*q - 3314930 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50582 + 106345. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3426 + -3426.3. What is the smallest value in -2, 0.05, 15, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 18  (c) -4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -89.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -3\/8  (b) -1\/7  (c) 3\/5  (d) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1354*w + 1360*w - 84. Let t = -31 - -33. Solve w = 5*y + 2*n, -t*n = 2*y - 3 + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 3:12 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -230*v - 4153. Determine x(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44771 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 26 = 3*k, 0 = 5*v - 0*v + 20. Let n be 3\/(-5) - 26\/k. Solve 2*q = -n*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 936260197 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.0975294*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2 = 2*m, 4*p + 3 = -3*m - 5. Suppose 3*l = -2*v - 1, m = 4*v + 5*l + 5 - 4. Solve 11 = -4*k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 145*x**3 + 33*x**2 - 6. Let d(f) = -f**3 + f**2 - 1. Let g(k) = -3*d(k) + n(k). Find the third derivative of g(b) wrt b.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-84)\/105*6*5\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w**2 + w + 5*w + w**2 + 0*w**2. Let c be t(6). Let m be (-1)\/5 + 24\/20. Solve -3*o = -d + 8, o = 4*d - c + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -333843 or -1\/662?\nAnswer: -333843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1405 by 1.\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*l + 5 - 3 - 4)*(3 - 1 + 0 + (7 + 4 - 19)*(0 - 2 + 4)).\nAnswer: -490*l + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/383 - 1546\/2681. What is the second smallest value in 0.4, 1, -3, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(143) - sqrt(143))*-4)\/(1*(-1*sqrt(11) - sqrt(11))) + 0)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6827, 13695, 20561, 27425?\nAnswer: 34287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + 23122\/(-6699) + 17\/7 + -2. What is the second smallest value in v, 7\/2, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003 - 22003?\nAnswer: -21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**3 - 56*q**2 - 2*q + 77. Let n be w(28). Calculate the greatest common factor of n and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*y**2\/2 + 6075*y\/2 + 573939 = 0. What is y?\nAnswer: -174, 2199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - -20. Let y = 12 - q. Suppose 3*v = z - y, z + v + 3 = 20. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-12) + (-3)\/(-12). List the prime factors of (-9 + r)*4\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 9:04 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*i**2 + 127 - 127)*(0 - 9 - 3) as w*i**2 + s + b*i and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*u**2 - 6*u**6 - 4*u**6 + 18*u**2 wrt u?\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-957)\/(-66) + 9\/(-2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -6*l + 25. Let m(u) = -u + 2. Give m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, j: 3, g: 1, h: 1, s: 3, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 158060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**6\/1080 + y**5\/120 + y**4\/36 + 5*y**3\/3 - 17*y. Let z(h) be the second derivative of o(h). Factor z(g).\nAnswer: (g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4968577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -383, 0, -3, -2, 4.\nAnswer: -383, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1800)*-3)\/(sqrt(6) + 1*(sqrt(6)*-2 + sqrt(6)) + sqrt(6) - (sqrt(6)*2*6 - sqrt(6)))*4)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)*-1 - (0 + sqrt(7) + 0)**2 - (sqrt(252) + (sqrt(252) - (-2*sqrt(252) - sqrt(252))) + (sqrt(7) - (sqrt(7) + -3 + sqrt(112))))**2.\nAnswer: -4748 - 158*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2089 or -219463\/105?\nAnswer: -219463\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -898202 and -22729.9?\nAnswer: 875472.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -7*i**3 - 9*i**2 + 2*i - 4. Let y(o) = -20*o**3 - 28*o**2 + 6*o - 13. Let z(b) = 17*r(b) - 6*y(b). Suppose -175 - 20 = 13*x. Is z(x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2244\/2448*((-12)\/(-15))\/((-132)\/45 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -4)*2\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 - 4*u + 16*u + 106 - 87 - 61.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9651246 divided by 3839\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 3:08 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 1:05 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**1*m*m**(-6\/7))\/(m**2*m**4))\/((m**(1\/4))**(-43))**(2\/33) assuming m is positive.\nAnswer: m**(-1481\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nmmnnnm. What is prob of sequence nm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, e: 1, t: 2, q: 8, c: 2, m: 1}. Give prob of picking 1 e, 1 m, 1 q, and 1 t.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1036, -2052, -3096, -4180, -5316?\nAnswer: -6516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2))*-1 + 2 + 1 + sqrt(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/538?  (a) 2  (b) 4  (c) -0.5  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2254.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1317800162 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 324 and 55571508?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 724, 759, 790, 817?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2005347 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/11 + 6\/11*z**2 - 14\/11*z.\nAnswer: 2*(z - 2)*(3*z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3134 - -10?\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 18.751 and -12.\nAnswer: 6.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/60 + (-51)\/(-2). Is h > 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 54, 168, 474, 1068, 2046, 3504, 5538, 8244?\n\"Answer: 16*i**3 + 2*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17280 = 2873*x - 3143*x for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -410 (base 6) in base 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 12*a + 2 - 3.\nAnswer: -12*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2348?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.01  (b) 0  (c) 2\/3  (d) 0.1  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 1\/4  (c) 822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*s + 8 - 10 + 2 to the form u*s + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -71 + 168. Calculate the remainder when n is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58 - 6*m**4 + 3*m + 27*m**2 + 57 - 14*m**2 to t*m**2 + j*m + g*m**4 + z*m**3 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/(-16))\/((-1)\/4). Solve -2*i - 9 = -f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + -2 - -6 - -5 - (36 + -5))\/(-3)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/9))**(4\/13)*n**(-2\/23)\/(n*n*(n*n**(-1)*n)\/n*n) assuming n is positive.\nAnswer: n**(-8123\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203 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: Calculate (-518)\/(-1332) + 4\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2*(1 - -1))\/1. Suppose -d = -2*o - 3, -o + 2*d + d = -1. Put -1, o, f in decreasing order.\nAnswer: -1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-351)\/78)\/((-6)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 700250*y + 2232471 with respect to y.\nAnswer: 700250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2698*r**2 + 899*r**2 + 901*r**2 + 898*r**2 + 7*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/24 and 62\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -77*f**3 + f - 109 wrt f.\nAnswer: -231*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 200170, 200172, 200174, 200176?\n\"Answer: 2*r + 200168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6932, -6925, -6904, -6863, -6796, -6697, -6560?\nAnswer: -6379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - 3\/(-90))\/(2\/3). Let o(p) be the first derivative of j*p**5 + 1\/8*p**2 + 3\/16*p**4 - 3 + 0*p + 1\/4*p**3. Determine l so that o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 89 - 75. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b*b**(-2\/3))\/b*b)\/(((b*b\/(b**(2\/3)*b*b*b))\/b)\/b))\/(b**(-1\/2)*b)**(-16\/3))\/(((b*b**(1\/2))\/b*b)**24*b*b**7*b*b\/b**(-2\/11)) assuming b is positive.\nAnswer: b**(-1271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -365*n - 27495 = -378*n. List the prime factors of n.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/9)\/(1\/3). Suppose x*u = 7 + 1. Solve -u*z - 10 = -c - 0*z, c + z = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110112 (base 3) in base 12?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-3)*(0 + -3). Let u be d + (4 + 1)*(-154)\/5. Let g = u + 247. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -161.0976 and -3?\nAnswer: 483.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 641 - 98 = j - 4*q, 5*j - 2600 = -3*q. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from rjmmrqrmorjmjmmkr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20496, 20345, 19970, 19269, 18140?\nAnswer: 16481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bnennbeneebnbbbeeeb. What is prob of sequence bn?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 150\/(24\/13 - 2). Suppose 1995*b - 2003*b = 5304. Let a = b - c. Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p - 2 = -2*t - 37*p, -3*t = p - 7. Suppose -4*s + 593 = n + 174, -3*n = t*s - 1237. What is the remainder when n is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.07, 0, 5, -3, -0.6, 26\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = 5*h - 33, -7*h - 3 = 3*y - 6 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -131\/5 in 13, 0.5, 4, -1.005?\nAnswer: -1.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - 1 - 12\/4. Let c be 15\/21 + v - -3. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -382*h**2*t**3*u - 26*h**2*t**2*u - 31*h**2*t**2 + 34*t**3 + 9*t*u wrt t?\nAnswer: -2292*h**2*u + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u - 62. Let r be b(13). Which is bigger: -48 or r?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-1 + 0\/(-1)). Suppose -m*p - n = -64, -p + 3*n = -27 - 1. Solve 8*w = 3*w + 4*a + p, 5*w - 5*a = 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 - 792*w - 9216.\nAnswer: -2*(w + 12)*(w + 384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -66839\/1206 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1758805.\nAnswer: 5, 53, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 1303*q**8\/336 - q**5\/20 - 145*q**4\/24 - 80*q**2. Find the third derivative of x(o) wrt o.\nAnswer: 78180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2890, 23089, 77924, 184717, 360790, 623465, 990064, 1477909?\nAnswer: 2104322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 7, 6, -4, 1 in descending order.\nAnswer: 7, 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*(-1)\/27*6\/4. Sort -6, -2\/21, m in descending order.\nAnswer: -2\/21, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**3 + 2*v**2 + 3*v - 1. Let q be i(-3). Let g = q - -43. Let k be (2 - g\/(-2)) + (-1)\/2. Which is greater: k or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -470 = -115*x + 84*x + 26 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1225587 is divided by 333.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 23504236417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + 9*x - 8. What is r(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -938*i**5 - 5720 + 5717 + 48*i**3 - 2716*i**5 - 970*i - 46*i**3 wrt i.\nAnswer: -73080*i**3 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*m = -263*m + 68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 779, 1493, 2145, 2735, 3263?\nAnswer: 3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 29. Let q be n(24). Let i(v) = -2*v + 2. Let f be i(2). What is the third biggest value in q, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1555 and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 186 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + sqrt(3) + sqrt(12) - 6*sqrt(3)*1).\nAnswer: -9*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.312 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-10) - 32\/(-20). Suppose x = t*x - 2. Suppose q = 6*q - 20. Solve -x*r = 4*o, 3*o + 7 = -q*r + 2*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-3) - 49\/(-21). Suppose 5*s = 4*s + 1277. Suppose 7*k - 4*t - s = n*k, 4*t - 779 = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -5. Suppose 43 = -r*k + 211. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 96854639 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3608854*s**5 - 11969122*s wrt s?\nAnswer: 72177080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 14*f**2 - 13*f + 11. Let y be w(-13). Let o be (y - 3) + (1 - 4). Solve -8 = -5*k - 4*n, 2*n = o*k - n + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 2*a**2 + a**3)*(3 + 2 - 3) + 2*a**3 - a**3 - 2*a**3 + 0 + a**3 + 0.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 4:45 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10510749 is divided by 166837.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/(-25)*(-10)\/(-8). Let a = 187 + -556\/3. What is the nearest to v in 0, 1, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20012201002012 (base 3) to base 9.\nAnswer: -6181065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 24*s**2 - 10*s + 1424. Determine z(22).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 494 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 762647664, -1, 5 in increasing order.\nAnswer: -1, 5, 762647664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 286 and 81576?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 + -38. Suppose w + q - 11 = 0, -5*w + 5*q + 43 = 4*q. Let d be 2\/(6\/w) - l. Solve 34 = -3*b + 5*m, d = -3*b - m + 2*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -7464*a + 60150. What is j(8)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((-1331)\/(-605)*5 + (-443)\/32)?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 7:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.1, 0, -148031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + t = -21 - 3, 0 = 4*i - 5*t - 36. Suppose 23 = f - 4*c, -3*f - i*c - 2 - 9 = 0. Solve 0 = b - y + 4 - 3, f*y = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + ((-2 + sqrt(1573))*-5 + 0)**2).\nAnswer: -197100 + 5500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = g + 3. Let h be (4 - 3)\/(1\/g). Let u be (h\/12)\/(2\/(-3)). Is 2 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8076 divided by 2?\nAnswer: -4038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**2 - 4406040*q + 4406043 = 0.\nAnswer: -1468681, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u - 3*d - 11 = -30, 4 = -5*u + 2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 2*v**2 - 2*v - 1. Let l be x(3). Suppose l = -5*a - 8. Let h be 8\/(3*a\/(-6)). What is the greatest common divisor of h and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -108 - -145. Let g = u - 39. What is the nearest to 1\/3 in 0.4, g, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495 a factor of 8518332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71, -289, -651, -1157, -1807, -2601?\nAnswer: -3539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -247, -84, -3, 1, -4, 4 in descending order.\nAnswer: 4, 1, -3, -4, -84, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 122*i**3 - 3*i**2 + 10*i + 22. Calculate l(-2).\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.265 - -0.565. Let s = 2.81 - 0.21. Let j = z + s. Which is the third biggest value?  (a) -1\/2  (b) -0.4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101000100001 (base 2) in base 15?\nAnswer: -b7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34873755.\nAnswer: 3, 5, 7, 199, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t + 10. Let f be d(13). Let z = -14 - f. What is the third derivative of -9*u**3 - u**z - 19*u**2 - 17*u**3 - 7*u**2 wrt u?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + (sqrt(108) - (sqrt(108) + -1))))**2 + -1)*-4 - (1*sqrt(900))\/(sqrt(108) - -2*sqrt(108)).\nAnswer: -5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -13\/2, 2\/47, 0, -4, -0.5?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -12  (c) -2\/9  (d) 329  (e) 5  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*x - 365 = -140. Solve 33 = x*n - 2 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1800956 is divided by 1341.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(-6) - 17\/((-714)\/44). Let g be (3 + -6)*2\/(-18). What is the smallest value in g, y, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*n + 1 = 0, 169*n - 7 = -j + 168*n. Solve -74*i + 77*i - j = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-2))\/((-80)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s**5 + 60*s**4 + 621*s**3 - 11286*s**2 - 78408*s = 0. What is s?\nAnswer: -33, -6, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.5 - -2. Let s = p - -0.9. Which is the second smallest value?  (a) -2\/3  (b) 0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 14255478 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 183011 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*y**2 - 2920*y + 2925 = 0. Calculate y.\nAnswer: -585, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*i**5*q + i**5 + i**2*q + i*q + 7*i + 2 wrt i.\nAnswer: 620*i**3*q + 20*i**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 + o. Let m be f(1). Let u be (0 - m)\/(1\/116*4). Do 29 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h + 25. Let p(z) = 2*z + 12. Let l(a) = 3*k(a) - 7*p(a). Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/15)\/(((-6)\/(-48))\/((-5)\/12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1919 - -17440. Suppose -13*h = -24*h + c. List the prime factors of h.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-7)\/(42\/(-27)) + 1\/(-2). Solve 3 = 3*v + q*g - 12, -4*v - 2*g = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from auukaouuu. Give prob of picking 1 a and 3 u.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/11)\/m)**(2\/17)\/((m*m**(-1\/2))\/m)**(4\/5) assuming m is positive.\nAnswer: m**(354\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4304256 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1684 = 42*c - 2306. What is the smallest common multiple of 10 and c?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -12*j**3 + j**2 - 2*j - 1. What is l(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0 + (-5 - -6 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 10*h**2 - 52*h + 8. Let j be r(5). Let t(o) be the second derivative of -497*o**3\/3 - o**2\/2 + o. Is t(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {z: 1, p: 4, d: 2, t: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 11*z**2. Let x(p) = 10*p - 32. Give x(n(i)).\nAnswer: 110*i**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of o**2\/2 - 6. Suppose 5 = 5*c - 5. Let n(p) = -c + 2 - 2*p. What is n(a(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 2, -3, -28 in descending order.\nAnswer: 11, 2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = a, -55*r = -52*r + 3*a + 114. Suppose 2*l + 3*l + 3*j - 83 = 0, 4*j = 2*l - 28. Let i = l - r. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1263 times -0.3?\nAnswer: 378.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -16*r + 25*r - 27, -12 = 4*u - 4*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*91\/130*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3660, -3663, -3666?\n\"Answer: -3*j - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18777 take away -24462817?\nAnswer: 24481594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/28*12\/27*6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4024 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -76 in 0.5, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4\/59, -3, 555?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-2))\/1*14. Suppose 0 = 3*h - 6, y - 2*h + 0*h + 2 = 0. Suppose 49 = u + 4*n, -y = n - a. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 10. Let i be (-377)\/(-39) - (-2)\/j. Let a be (-3)\/i*-12*1. Solve -5*z + 3*u + 2 + 5 = 0, 0 = -z + a*u + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 1 + 1. Let u(t) = 1037 - 273 - 224*t - 268 - 230 - 267. Determine c(u(h)).\nAnswer: 448*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4511788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m**2. Let k(y) = -2*y**2 + 1661 - 824 - 828. Calculate k(l(h)).\nAnswer: -8*h**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wpfw when four letters picked without replacement from {p: 1, f: 3, w: 9, v: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 9, s + f - 1 = 4. Let x = 423.6 + -301.6. Sort s, 0.2, 5, x.\nAnswer: 0.2, s, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 123 - 163. Is t smaller than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-2))**(-8\/3)*(y*y**(1\/5)*y)\/y**7 assuming y is positive.\nAnswer: y**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) - (sqrt(832)*1 + 1)) - 1*(sqrt(832) + 2*sqrt(832))) + -4 + (sqrt(130) + sqrt(130)*1)\/sqrt(10)*-5)**2.\nAnswer: 156*sqrt(13) + 8797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2014326 + -3?\nAnswer: -2014332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 y when three letters picked without replacement from {y: 3, m: 5, x: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, f: 8}. Give prob of sequence ff.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2724 + 6801. List the prime factors of j.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-12)*1)\/(9\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9719  (b) 2  (c) 19\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 3 + (-126)\/4. Let m = -28 - y. Which is the closest to -1?  (a) m  (b) 0.03  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + b = 14, -5*b - 2 + 36 = 2*a. Solve 0 = f + 3*f + a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70122566*i**3 + 9976*i + 2914 wrt i?\nAnswer: 420735396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*c + 39303 = -145*c. What is the highest common divisor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2830 = -4*k - 6*k. What are the prime factors of k?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -88 + 14. Let l = 78 + o. Suppose -l*g = c - 86 - 557, 1946 = 3*c - 5*g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 875.2074 nanograms to milligrams.\nAnswer: 0.0008752074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -3. Suppose 6*l = 5*l + 22. Suppose m - 1 = -4, 4*m + l = 5*v. Solve -1 = 4*i - z*g - v, 2 = 4*i - 2*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*c**2 + 51*c**2 - 139*c**2.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1645, 13206, 44621, 105826, 206757, 357350?\nAnswer: 567541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((2\/((-4)\/(-1)))\/(10045\/(-2009)))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 8*u**2 - 5*u + 10. Let q be f(-7). Let t be 140\/225 + q\/10. What is the third smallest value in 1\/2, -2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {f: 4, m: 1, d: 1, p: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(288) + sqrt(288)*2*6)**2 - sqrt(288)) + (sqrt(288)*-2 + -1 - sqrt(288)) + 4 + (-2*-2*sqrt(288))**2)*-6.\nAnswer: -319698 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zoozzoozzo. What is prob of sequence zzzo?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1632)\/((-912)\/19) - -3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 27*t**2 - t + 19. Give p(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -199400, -398798, -598182, -797546, -996884, -1196190?\nAnswer: -1395458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55383901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -31) + -15 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/180 and -23\/162?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1400 and 1800?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 4. Suppose w*x = -x + 42. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-10)*(-30)\/(-12)*1. Calculate the remainder when 103 is divided by 1*(-86)\/(-4) - k\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9\/1696 + -26261\/5088. Find the common denominator of g and 7\/12508.\nAnswer: 37524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 399*g**5\/10 + 109*g**3\/2 + 92*g. Find the second derivative of k(l) wrt l.\nAnswer: 4788*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -2*s, -2*w + 3*w + 6 = 2*s. Suppose l = h - 70, -3*l = s*h - 21 - 238. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 2*z**2 + 3*z + 1. Let u = 514 - 516. Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-212526367.\nAnswer: 85010546.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/5 + 1112*k**2 + 11132*k\/5 - 44496\/5.\nAnswer: -(k - 5562)*(k - 2)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*t + 11*t + 7*t + 7*t.\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**16)**(-26) assuming c is positive.\nAnswer: c**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) -27  (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/100 and 29\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-60) + (-51)\/(-45) + -1. Solve -2 = -2*u + 2*o, 3*u + z*o = -2*o + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 5*u**2 + 4*u - 13. What is t(7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 272 = -251. Let y(o) = o**2 + 7*o + 1. Let x(m) = -m - 4. Let b be x(-6). Let u(w) = 3*w + 1. Let r(k) = b*y(k) - 5*u(k). Calculate r(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {q: 5, z: 2, o: 5}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 239 divide 704376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 797231510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11010111100100001 (base 2) to base 11\nAnswer: -75a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3\/11, 3\/8, -4, 5 in descending order.\nAnswer: 5, 3\/8, 3\/11, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9660075?\nAnswer: 3, 5, 19, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -14d620?\nAnswer: -14d623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 w when four letters picked without replacement from {u: 8, a: 2, x: 7, w: 3}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*p + 69*p - 3*t = 43, -t - 40 = -5*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2077 = -2832*s - 345*s + 152*s + 155223 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 24*o**3*u + 494*o**3 - 2*o**2*u - 3*o**2 + 418*u - 2 wrt u.\nAnswer: 24*o**3 - 2*o**2 + 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1878 + -1786.1. Let a = 81.9 - s. Is a smaller than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, h: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49*j**3 + 111*j**2 - 337292*j?\nAnswer: -294*j + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 4. Let i be w(0). Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 1235 = -22*x - 1085, 3*x + 5*t - 41 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 8:27 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 555?  (a) 4\/7  (b) 1\/8  (c) 18.5  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.01, 2, 2\/11, 0.3 in decreasing order.\nAnswer: 2, 1, 0.3, 2\/11, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1006619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11725580149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*c - 870 = -39*c + 90*c - 28*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/150*-129*2\/(-24)*4?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4449236*f + 9282178*f + 12987*f**2 + 5008827*f + 9014055921 + 3*f**3.\nAnswer: 3*(f + 1443)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/17)*k*k**(-22) assuming k is positive.\nAnswer: k**(-359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 16 = 0, p + 483 = -4*q - 705. Let h = 684 + q. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 3 - 6)*(4 - 4 + 3)*(-k - 7*k + k) in the form z*k + m and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 b when three letters picked without replacement from {d: 2, a: 1, q: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 divided by -143?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2321, 2930, 3539, 4148?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-48)\/(-84)*(14\/12)\/(-1). Which is the closest to -57?  (a) l  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 18 - -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 650?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*x + 8. What is the nearest to -2 in 3\/7, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 6*i**2 + 21*i + 9. Suppose 11 - 3 = 4*h. Suppose 6*k = -h*k - 48. Is s(k) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 339\/5 + -67. What is the second smallest value in o, -2\/25, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 291 + -291.02. Let u = 0.05 - n. Which is greater: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of y**4\/4 - 8*y**3\/3 + 13*y**2\/2 - 6*y - 22. Factor r(u).\nAnswer: (u - 6)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-3) - (-112)\/84. Let n be 1 + 12\/(-4) + 5. Suppose -5*f = 13 - 3. What is the nearest to b in n, f, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-306)\/72)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 81\/2*h**2 - 83*h + 0 - 1\/6*h**4 - 5\/2*h**3. What is the derivative of l(y) wrt y?\nAnswer: -4*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, j: 1, h: 1, q: 1}. Give prob of picking 1 h and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*g**3 - g**2 + 3*g**3 - g**3)*(2*g**2 + 2*g**2 - 2*g**2).\nAnswer: -18*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - k**2 - k - 1. Let r(w) = 8*w**3 - 5*w**2 + 8*w. Let b(h) = r(h) - 5*v(h). Differentiate b(n) wrt n.\nAnswer: 9*n**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - -2 - (-3 + 5). Suppose w = 5*p + 4*g - 843, -p + 4*g + 180 = g. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*m - 59984 - 3162 = 367414. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 4:33 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 18*k - 35. Let b be r(-11). Let o(j) = 4*j**2 - 5*j - 6. Let x be o(-4). Suppose 6*i - b*i = -x. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (106 - (23 + 3)) + -34.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 4*y - 68, -y + 14 = -0*y + 2*a. Calculate the greatest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 12. Let y(l) = -2*l**2 + 9*l + 3. Let x(z) = -5*z**2 + 21*z + 7. Let c(t) = -6*x(t) + 14*y(t). Give f(c(p)).\nAnswer: 4*p**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - 11. Suppose 4*i - p*i = 0. Are 4\/11 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (6*sqrt(605)*-3 - sqrt(605) - sqrt(605) - (sqrt(605) + 4 + 3 + sqrt(605))) + -4)**2.\nAnswer: 4356*sqrt(5) + 292901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -15 - 5. Suppose 40 = -2*a + 10*a. Suppose 0 = -4*r + 3*l + 83, -4*r + 5*l = -20 - 65. Solve -3*o + 20 = 4*h, -h - f*o = -a*h + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 45870 = 5*m, 18*v - 10 = 20*v. List the prime factors of m.\nAnswer: 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -167*d**2 - 7652*d + 1353. Determine l(-46).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5972, -19174, -41164, -71930, -111460, -159742, -216764?\nAnswer: -282514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -12*v + 47*v - 2 + 0 + 18*v - 2*v**2 - 17*v**2. Let r(o) = 20*o**2 - 52*o + 3. Let q(z) = -4*p(z) - 3*r(z). Find the second derivative of q(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/53 + 81\/371. What is the nearest to 7\/3 in s, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*a - 273 = 69*a. Does 52 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 + -23. Let d(x) be the first derivative of x**4\/4 + 2*x**3 - 2*x**2 - 2*x + 1. Is d(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 185*z + 1250. Calculate j(-7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23840*z**3 - 30861?\nAnswer: 71520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/62)*o**(1\/14))\/((o**(-29)*o*o*o)\/((o**(-20)\/o)\/o)))**36 assuming o is positive.\nAnswer: o**(31680\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27355241 and 86425?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 102387708*z**5 + 4900*z**2 + 5444.\nAnswer: 6143262480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -561595236 less than or equal to -561595236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.3, 13, 1\/2172, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 779417 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-2)\/14*(-175)\/(-450)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8794, 8499, 7714, 6193, 3690, -41, -5246?\nAnswer: -12171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 10*p - 12. Let t be w(-10). Let b be (-3*t\/27)\/(1\/3). What is the third smallest value in -2, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xbxxxvbvvvbvx. What is prob of sequence xvv?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + y = 19, -2 + 6 = -4*y. Let i(z) = 90*z - 9. Is 39 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 5. Suppose 0 = 4*r - 8 - f. Is r greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*t + 61*t - 134*t - t**2.\nAnswer: -t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 150053224?\nAnswer: 150053232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 28530\/22279 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 10*o**4 - 25*o**3 - 27*o**2 + 49*o. Let h(s) = s**4 - s**3 + s. Let y(w) = 7*h(w) - r(w). Solve y(c) = 0 for c.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 1:44 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 0*l + 2*l)*(-4 + 1 + 4)*(-3 + 4 + 0) as i*l + q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-255)\/170)\/(3*2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 5*t - 11, 5155 = -5*t - 3*m + 5102 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h - 16*h - 56 - 68 + 5*h.\nAnswer: -9*h - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (132\/12)\/(-22)*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -21, -35, -65, -117, -197, -311?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*v**3 - 3*v**2 + 140*v?\nAnswer: -144*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 6*k**2 + 8*k + 6. Suppose -2*g = 3 - 11. Suppose -5*c + 52 = 2*j + 15, -3*j = -g*c + 25. Calculate p(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1*(3*sqrt(102) + sqrt(102) - sqrt(102))*-4)\/(4*sqrt(30)\/sqrt(5) + (-1*sqrt(24))\/sqrt(4)).\nAnswer: -1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3399 + -3325 + (-634)\/9.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 11:42 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 = 1. Let z(q) = q**3 + 5*q**2 + 2*q + 4. Let j be z(-4). Let w(l) = 4*l + 16. Let f(k) = 1. Let p(s) = j*f(s) - w(s). Give p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2 - 17*z - 13. Let b be k(-8). Let f(t) = -3*t**2 + 22*t + 18. Let a(j) = -2*j**2 + 11*j + 9. Let h(c) = b*a(c) + 3*f(c). Give h(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8544 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**2\/5 + 869*p\/5 + 1107392\/5 = 0 for p.\nAnswer: -704, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -100011101000212 (base 3) to base 2\nAnswer: -10010100100101110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*b + 14 = 0, 3*n + 0*n + 5*b = 49. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(2057) - 1*sqrt(2057)*6)*6 + 4 + (sqrt(2057) + 0 - sqrt(2057))*3)**2.\nAnswer: -7405264 + 10560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifty-three quarters of a week?\nAnswer: 2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21.67 - 22. Does d = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b - 9. Suppose -55 = 5*v - 5*f, -16*v + 11*v + 2*f = 40. Calculate g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 24*n - 55. List the prime factors of k(8).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2037 + 1567*k**2 - 148*k**4 + 316 - 1571*k**2 wrt k?\nAnswer: -592*k**3 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k + 1. Let n(s) = -11. Let u(g) = n(g) - 6*w(g). What is the derivative of u(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/63140*-40*22*6\/(-12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 88\/3 + -30. Is -4\/5 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 7 - 2)*(5*o + 0*o - 3*o) in the form s + i*o and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccchhhchhhccc. Give prob of picking 4 c.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 8:39 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-163 - (-28 - (6 + 4))) + 0 + -3.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 130  (b) 2  (c) 1\/3  (d) 0.5  (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48868.71 minutes in nanoseconds?\nAnswer: 2932122600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5, 8, 13, 20?\n\"Answer: i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 274635252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26481.\nAnswer: 3, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 20*v + 2*v)*(-3 - 17 - 8 + 6*v**2 + 20).\nAnswer: 108*v**3 - 144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/917060 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15240)\/2200 - -7)\/((16\/30)\/4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p + 28. Suppose 3*c = -5*c + 8. Let r be g(c). What is the greatest common divisor of 299 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of w**3\/6 - 13*w**2\/2 + 8*w. Let q be s(13). Solve q = l - 0 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332964609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 456293?\nAnswer: 27377580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1\/2, 11\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6479, -7134, -7777, -8402, -9003, -9574?\n\"Answer: s**3 - 662*s - 5818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -60*q - 129. Let s be x(8). Let j = 4411 - s. What is j rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 3:45 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3\/8)\/(h*h*(h\/h**(4\/5))\/h*h))\/(h**(-4)*h*h)**(-1\/9) assuming h is positive.\nAnswer: h**(-1007\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -1457*q - 3. Let o be y(-1). What are the prime factors of (-12)\/(-54) - o\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2475 a factor of 46159430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 977 = -2*w, 2*w + 2*a = 265 + 727. Let q = 862 - w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223740 = -377*c - 19*c. What is the least common multiple of c and 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 2)*(0 - 2 + 0)*(-2*r**3 + 2*r**3 - 4*r**3).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4 = 0, 2*t + 2 = d - 10. Suppose 4*f + f + 34 = 3*o, d*o - 4*f - 40 = 0. What is the lowest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y - 3. Let j(d) = -9*d + 4. Let v(k) = -3*j(k) - 4*x(k). Let l(n) = -2*n - 11. Determine v(l(s)).\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -5849 less than or equal to -5601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 273 and 52?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12693\/51 + (-5 - (-435)\/85).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16661226 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33908, 33961, 34014, 34067?\nAnswer: 34120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/15, 11227, -32?\nAnswer: 11227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.199 or -3765\/8?\nAnswer: -3765\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001468694 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -144119.\nAnswer: -144118.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + 1 + 1064*(-271)\/(-10298).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - -19. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173 - 26 = 7*z. Let n = z - 12. Solve -2*j + n = -1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -7*z - 27. Let b be k(-9). Suppose 21*g - 33*g = -b. Factor 0*m + 1\/5*m**4 + 9\/5*m**2 + 0 + 6\/5*m**g.\nAnswer: m**2*(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41458248 divided by 2.\nAnswer: -20729124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 10 = d. Let g be (-2)\/4*0\/(-3). Suppose -1 = -4*c - 5*a - 13, -5*c - 2 = 3*a. What is the nearest to g in -1\/4, c, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 739392758 - 739392758.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52915472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2051975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 18820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 7, m: 4, b: 3, d: 2, g: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -17*y - 80. Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 2.59264 in decreasing order.\nAnswer: 2.59264, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 - -20. Which is smaller: 1\/3 or n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 13 = -4*z - 2*k, -k = -5*z + 23. Suppose 0 = z*h - 11 + 3. Suppose 0 = h*b - 0 - 36. Calculate the greatest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 4*o - 3. Let s be m(3). Let w(t) = 17*t**3 + 2*t + s*t + 0*t**2 + 1 - 3*t + t**2. Calculate the remainder when w(1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28664433 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 432 - 399*k**2 + 74*k**2 - 5*k**2 + 5*k**3 + 4*k**5 + 20*k**4 - 25*k**3 + 150*k**2 = 0. What is k?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240*i**3 + 103*i**2 - 214*i**2 + 111*i**2.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -t**5 + 8*t**4 + 171*t**2 - 2*t - 860 wrt t?\nAnswer: -20*t**3 + 96*t**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 9. Suppose -20 = 2*i - 16, -8 = -2*t + 5*i. Let r = t - c. Calculate the least common multiple of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 19*t - 16. Let w be n(18). Suppose w*i = 5*o + 4*i - 70, 5*i = 0. Solve -4*j - 6 = -o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4 = 3*p - 6*p, 3*p - 1 = u. Suppose p*k + k = 3. Let r = -7 + 8. Put 0.4, k, r in descending order.\nAnswer: k, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*x + 2*y + 28, 0 = 20117*x - 20138*x + 2*y + 47 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6916.82 years in months?\nAnswer: 83001.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -95, -63, 0, -4.\nAnswer: -95, -63, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dgdvviqq. What is prob of sequence vdv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwweeeweewee. What is prob of picking 3 e and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1042620\/70 + -21 - 3\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + 5*sqrt(18)\/(sqrt(60)\/sqrt(40))))**2.\nAnswer: -720*sqrt(3) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34*z + 508*z**3 - 1389*z - 2*z**2 - 1056*z wrt z?\nAnswer: 3048*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 143, 560, 1255, 2228?\nAnswer: 3479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.44979394 - 3.45. What is r rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -268*y**3 + 3*y**2 - 42*y - 433515.\nAnswer: -804*y**2 + 6*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2395909 a multiple of 937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 23945696 and 28065250?\nAnswer: 4119554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1, -26, -41, -46?\n\"Answer: 5*x**2 - 40*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6075 is divided by 2021?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-385)\/(-28))\/((1575\/(-120))\/21).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 3*x**2 + 8*x + 4. What is the tens digit of n(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/3)\/((-3905)\/(-429) - 9). Solve -4*c - 3*v + 15 = 39, c - 4*v = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + -0.6. Let p = 1506.9379 - 1507. Let h = p + 0.3621. Which is the biggest value?  (a) -18  (b) t  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 312 and 4212?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15667 is divided by 741?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*43\/258*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -52, 0, 2 in descending order.\nAnswer: 2, 0, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by 38.\nAnswer: 33\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -62 - -61.6. Put m, 0.7, -11 in increasing order.\nAnswer: -11, m, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 take away 29.111?\nAnswer: -29.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(-1) + -2 - -34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 776435573 to the power of 1\/2, to the nearest integer?\nAnswer: 27865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 + 3085*b**2 + 2383927*b + 7124043.\nAnswer: (b + 3)*(b + 1541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169694116.\nAnswer: 2, 67, 633187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence up when two letters picked without replacement from {p: 2, u: 2, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(-28)*((-9)\/(-12))\/(((-16095)\/232)\/37)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r - r**3 + r + (6*r + 9*r - 3*r)*(r**2 + 3*r**2 - 3*r**2) - 3*r**3 - r**3 + 2*r**3 + (-2*r**2 + 0*r**2 + 0*r**2)*(-2*r + 0 + 0) + r**3 + r**3 + 0*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10395 = -988*q - 119075 for q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 61*f**3 + 6*f**2 + 7*f - 3. Let s(r) = 494*r**3 + 49*r**2 + 57*r - 23. Give 49*c(w) - 6*s(w).\nAnswer: 25*w**3 + w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -8. Suppose 5*s - 25 = 3*z, 2*s = z - 6 + 15. Suppose j = -2*g - s*g - 2440. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57\/12 - 6 - 9775\/340\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 783 + -781. Let c(p) = -2 + 3 - 17*p - 12*p + 3*p**f + 35*p. Let g be 2\/2*2\/2. Let l(y) = y**2 + y. Determine g*c(o) - 4*l(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38.13 + -0.13. Let z = h - 38.25. Let d = z + 5.25. Which is the biggest value?  (a) 1\/6  (b) 0  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -518*i**4*k**2 - 11*i**4*k + 7*i**3 - 672218*i**2*k**2 + i**2*k wrt i.\nAnswer: -12432*i*k**2 - 264*i*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*w - 471 = 2*s, -1403 = -3*w + 4*s. Let n(q) = -461 - q + w. Let b(c) = 18*c**2. Give b(n(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.69508219 to two dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 2:02 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34*c**6 - 15*c**6 - 24*c**6 - 2*c**3 + 11*c**2 wrt c?\nAnswer: -600*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1261089649?\nAnswer: 1117, 1128997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 9:53 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 - 13*m**2 + 13*m - 18. Let n be g(12). Let j(w) = -2*w**3 - 11*w**2 - 2. Is 21 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/2 - 6293*m**2 + 25166*m - 25164.\nAnswer: (m - 12582)*(m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-2\/9)\/d*d)\/d)\/((d**(-7)*d)\/d))\/(d**(-2)\/((d\/(d*d*d\/(d\/d**(2\/5))))\/d))*((d**0*d)**13)**26 assuming d is positive.\nAnswer: d**(15497\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-1*-4 + -4 + sqrt(3) + -2 + 5 + -2)**2.\nAnswer: -30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-43 + (-2262)\/(-52))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 33 - 5 = 0. Suppose 12 = g*l - 3*l. Suppose v + l*v - 748 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 3:06 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 7*f + f)*(4*f**3 + 3*f**3 - 5*f**3 + (2 + 2*f**2 - 2)*(-f - 2*f + 4*f) + 2*f**3 - 3*f**3 + 2*f**3 - 7*f**3 + 3*f**3 + 3*f**3).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9633\/2 + -24137\/5. What is the common denominator of s and (6\/15)\/(16\/(-1460))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**2 + 4*r + 1. Suppose 2*g = 5*x - 18 - 25, 2*g + 2*x - 6 = 0. Give t(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 divided by 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + 0)*20\/(-30). Suppose x*d = -0*d + 82. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 236 and 0.55.\nAnswer: 129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -1, 195 in descending order.\nAnswer: 195, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 171*p*y**3 - p + 363*y**3 wrt p?\nAnswer: 171*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*(i*i*i**(-34)*i)\/i)*i\/i**(-22)*(((i**(-12\/11)\/i)\/i*i)\/i*i)\/(i*i**36))**(-19) assuming i is positive.\nAnswer: i**(-3325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10948465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 10*s. Let g(j) = 551*j**2. Give g(y(v)).\nAnswer: 55100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 663, 674, 699, 744, 815?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 49185750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 7*j**2 - 14*j + 2. Let b be s(-8). Is (-1 + -5)*(b\/(-4) + -1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*q - 58 + 114 - 55)*(0 - 4 + 2)*(-5*q + 2*q + q) - 2*q**2 + 0*q**2 + 0*q**2 as j*q + l*q**2 + d and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 154786632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 3) + 2 - ((672 - 794) + (42 - 2)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nyiynyyynynyyyiiyii. What is prob of picking 1 i and 3 n?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -8. Let m be p\/(3\/24) - 3. Let s be (28\/m)\/(3\/(-45)). What is s rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/20*(-325)\/(-780)*-52\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -52*19103\nAnswer: -993356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 + 9*m + 5. Let w be s(-6). Let l = -89\/4 + w. Let q = -283\/693 - 2\/99. Which is the third smallest value?  (a) l  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n - 9. Let w be k(-9). Let l be 18*(16\/(-6) - -1). Let r be (-34400)\/12*(l - w). What is r rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.583 * 0.0627538.\nAnswer: 0.0365854654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, f: 10}. What is prob of sequence vv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 + -1367\/13. Let v = -804.97 + 805. Sort 1, d, v.\nAnswer: d, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.3 + -1. Which is smaller: n or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 22 = 7. Let z be (-2)\/(-6) - 131\/k. Suppose -o - o = -z. What is the least common multiple of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3711 - 3711. What is the smallest value in l, 5, 13\/55?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*f)*(162 - 115 + 202 + 170).\nAnswer: 838*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**3 + 7*p**3 + 4*p + 0*p**3 - 2*p in the form n*p**3 + m*p**2 + r*p + j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 0 + 0)*(-5564*z - 232*z**3 + 5564*z)*(-3*z + 0*z + 5*z + 2 - 3*z - 2 + (-2 - 1 + 2)*(z + 2*z - 2*z)).\nAnswer: 928*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09698687 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-50)\/28 + (-8)\/(-28). Let z = h + 23\/14. Let g = 0 + -2. Which is the third biggest value?  (a) g  (b) 4\/5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 4109.\nAnswer: 2\/4109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.2, -1.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -251 times 91?\nAnswer: -22841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, i: 2}. What is prob of sequence ici?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 62407283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c3 (base 13) in base 3?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-3)*(-20 + 7 - 1 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2052.7 + -0.2?\nAnswer: -2052.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 24, 20, 14, 6?\n\"Answer: -r**2 - r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -140 + 59. Let m be -1 - z - (-1 + 5). Let s = -47 + m. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 + 2.3. Let t = 5.08 + -0.08. Sort t, x, -1 in ascending order.\nAnswer: -1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-391056)\/96)\/((-1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -7\/3000801?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 14490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - r + 1923 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*v + 5*t, -2 + 10 = 4*t. Suppose -v*i + 1774 + 811 = -5*o, 4*o = 2*i - 1034. What are the prime factors of i?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 204 + -751. Let l(c) = -c - 387. Let x be l(-62). Let n = x - i. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5576 and 10018104?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m - 67 + 59 + 66 + 220 + 48. Let n(v) = -v**2. Give n(w(c)).\nAnswer: -9*c**2 - 1956*c - 106276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-17)\/3 + 3)\/(13\/(-117)). Factor -4\/5 - 10*m**3 - 42\/5*m - w*m**2.\nAnswer: -2*(m + 2)*(5*m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4\/1981?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4564887*h**3 - 48989774 wrt h.\nAnswer: -13694661*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2532 and 12.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -18*y. Let q(w) be the first derivative of 1\/3*w**3 + 0*w**2 + 0*w + 5. Give d(q(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -200*t**2 + 3960*t.\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 79*x - 171. List the prime factors of y(13).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -4, -2*k - o = -2*o - 1880. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-3)*18\/12. Suppose -m*z - v + 6*v = -37, 2*v + 1 = -3*z. Solve 3*s - z*b - 8 = 1, -5*b + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9340573.9 rounded to the nearest 10000?\nAnswer: 9340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 471597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 2, -0.6, 0.9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -13*h**6\/6 - 3*h**5 + 5*h**4\/12 - h - 13. Factor b(f).\nAnswer: -5*f**2*(f + 1)*(13*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 580152015.\nAnswer: 3, 5, 59, 218513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102746255 is divided by 1929?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 47 - 122 = 0. Let v = 28 - 27. Suppose 2*d - c = v. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y**3 - 3*y + 2*y**2 + 2*y + 5*y**2 - 7 - 4*y**3. Let l be r(-7). Solve l = b - 0 + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242789592.\nAnswer: 2, 3, 47, 215239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7724 or -5049?\nAnswer: -5049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-913205)\/(-35) + (-3*1)\/12. Let s = l + -26094. Calculate the common denominator of s and -9\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114441 + -134?\nAnswer: -120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -122816, -122821, -122810, -122777, -122716, -122621, -122486?\n\"Answer: x**3 + 2*x**2 - 18*x - 122801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l**2 + 2*l - 4. Let y be k(-4). Let r be 11986\/y*(-6)\/4. Let a = 498 + r. Calculate the common denominator of 43\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2990 + 369. Is -2627 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1. Suppose 2*p - 2 + 0 = 0. Sort p, 4, o.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 14*k + 1992. Calculate the lowest common multiple of t(-24) and 621.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (1650\/(-165) - 7325\/3)*-21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 15*a + 12, 2*m - 30324 = -5*a - 30332 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -8673*b**2 - 1777*b + 98. Let x(n) = -34690*n**2 - 7109*n + 441. Let f(z) = -9*h(z) + 2*x(z). Find the second derivative of f(l) wrt l.\nAnswer: 17354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 = -4*c - 279 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 54746413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3\/7)\/x*((x**(3\/2)\/x)\/x)\/x*x)\/(x**(-3\/20)\/(x*x**8)) assuming x is positive.\nAnswer: x**(1011\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-240)\/36)\/(-5) - (-14)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(9\/13)*j*j**(-27))**36 assuming j is positive.\nAnswer: j**(-11376\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72, -148, -224, -300, -376, -452?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 4*q**2 - 2*q + 4. Let l = -13 - -30. Suppose 5*y + 37 = l. Determine z(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -h**6\/240 + h**5\/120 + h**4\/3 + 5*h. Let k(u) be the third derivative of p(u). Calculate k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 + -23. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34890 (base 10) in base 8?\nAnswer: -104112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3653 not equal to -7143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-4)*15\/((-270)\/(-12)). Let j be (31\/1 + -2)\/x. What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2180 = 1102*x - 1106*x + 4*p, p = 4*x - 2177. What is the remainder when x is divided by 159?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 12 = -4*j, -2*j = -4*j + 4*q + 16. Let g be 12\/8*(j + 0). Is 3 a factor of (8\/(-4) - 2) + (-141)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of q**6\/3 - 5*q**3\/2 - 11*q. What is the second derivative of v(x) wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -5. Suppose 2*q + p = 2*p + 4, 2*q + 2*p + 8 = 0. Suppose -20 = 4*c + c. Put q, i, c in descending order.\nAnswer: i, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12950, -12933, -12906, -12869?\nAnswer: -12822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.5, 1136652?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 1. Let l(r) = -14*r - 20. Let g(k) = l(k) - 3*x(k). Let m be g(-3). Solve 0 = m*b - 21*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*g**5 + 645*g + 675*g + 162*g**4 - 2 - 1324*g + 268*g**2 wrt g.\nAnswer: 540*g**2 + 3888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -100.\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 141, 1, -1, -17, -475, 8, -4.\nAnswer: -475, -17, -4, -1, 1, 8, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3948 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49a73 (base 11) to base 13.\nAnswer: 26908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5460408 - 5460101.9831. Let x = 306 - q. What is x rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4*p - 175, 640 = 4*x + 3*p + p. Let l = -260 + 555. Suppose l = 9*h - x. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -0*x + 8*x. Let k be (-2)\/x - 160\/(-70). Suppose -36 = 3*r - 3*y, -k*r + r - 4*y - 27 = 0. What is r rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) + (sqrt(132) - (sqrt(132) + (sqrt(132) + (sqrt(132)*-4 - sqrt(132)) + sqrt(132))*-4)))*6)\/(1*(sqrt(972) - sqrt(3))))**2.\nAnswer: 191664\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 47 = y - 3, n = 2*y + 46. Let v be ((-4)\/(-12))\/(7\/n). Suppose -4*h - i - 3 = -0*h, 2*i + 6 = -v*h. Is h >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b**3 - 3*b**2. Let m(c) = -13*c**3 + 6*c**2. Let x(s) = -2*s - 12. Let u be x(-5). Let w be ((-8)\/(-6))\/(u\/6). What is w*m(o) - 9*a(o)?\nAnswer: -2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**3 + 9*q**2 - q + 1. Let y be m(4). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77 + 2366 + 110 = -69*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1237*l - 382*l - 2759 = -16439 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15247579 is divided by 792.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 111*l + 2336. Let k be w(-21). Let n(t) = -t**2 - 3*t + 9. Let u be n(0). Solve k*h + 12 = u*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 - (3 + -26 + -5 - 34).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2112845 divided by 119?\nAnswer: 17755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1861978*g**3 + 2*g**2 + 4466*g + 1106 wrt g?\nAnswer: 11171868*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of j**7\/56 - 3*j**6\/20 - 3*j**5\/80 + 19*j**4\/8 - 12*j**2 - 38*j + 1. Suppose r(x) = 0. Calculate x.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000015948 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111490 divided by 881.\nAnswer: -111490\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 - (26 - 41) - 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 885.85 and -16.372.\nAnswer: 869.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.03*-4582\nAnswer: -137.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d - 5*d - d)*(9043 - 20207 + 9889) as k + c*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1090371563.\nAnswer: 19, 57387977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14613\/2 + 4215850\/577. Let j = o + -46733\/4616. Calculate the common denominator of -15\/4 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -0.18, -1\/2, -3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 1) + (-4 - -51) + -72 + (-6 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 132*b + 81. Let c(w) = 44*w + 25. What is -6*a(s) + 17*c(s)?\nAnswer: -44*s - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 181 = -2*n, -5*n + 186 = 3*g - 2*n. Let f = -18 - -27. Suppose 0 = 4*z + f - g. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -190, 0, 4 in decreasing order.\nAnswer: 4, 0, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*v**2 - 2*v**4 + 73*v**2 - v**3 - 42*v**2 to the form y*v**4 + i*v + j + z*v**2 + f*v**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4982613442 + 5.\nAnswer: 4.5017386558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2203*p - 2205*p + 6 = 0. Solve -a = p*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/15535 and 77\/233025.\nAnswer: 233025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 77 - 80. Put b, -4, 15 in increasing order.\nAnswer: -4, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1564 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 106*t - 593 - 667 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4 + c - 6)*(4*c - c - c)*(4 - 3 - 2) to k*c + i + s*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1037.23 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 324 - 86. Let p = y - 40. Let d be (p\/(-9))\/((-1)\/(6\/(-4))). Is d greater than or equal to -1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) + sqrt(660)\/(2*sqrt(12)) - (sqrt(550)\/(1*sqrt(10)) - sqrt(55)))\/((sqrt(99) + -6*2*sqrt(99) + sqrt(99) - sqrt(99))\/(sqrt(900)*1)).\nAnswer: -15*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/24?  (a) 41  (b) 8  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, 9, 0.4, 0.7, 0.048?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggnnnnnvnngv. Give prob of picking 2 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -3*r - 4*i + 37, -3*r = -188*i + 542 - 772 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4632662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -156 - -109. Let n be b - -101 - (-4 - (-2 - -1)). Suppose -67*s - n = -70*s. Calculate the remainder when 55 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**2 + n**2 - n**2)*(n**2 + n**2 - 3*n**2) + (2 - 2*n - 2)*(n**3 + 4*n**3 - 3*n**3).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1307387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.056 - -1.556. Which is the closest to -1\/4?  (a) -3\/8  (b) -1  (c) x  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/1125 and 1\/252552125.\nAnswer: 2272969125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -0.036585, 3 in ascending order.\nAnswer: -0.036585, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/11)*d**(4\/3)\/d)\/(d*d*d**6*d**(2\/23)*d) assuming d is positive.\nAnswer: d**(-6506\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2838, 11013, 24598, 43599, 68022, 97873, 133158?\nAnswer: 173883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 105511 to the nearest 1000.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p**2 - 6*p**2 + 4*p**2 - 6*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -4.01. Let k = -0.01 - i. Which is the closest to k?  (a) 3  (b) -1\/2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 7*i**2 + 16*i - 4. Let z be c(5). Calculate the highest common factor of 117 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -1 + (-3 + 19 - 4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -172 - -302. Suppose -2*x = -2*q - z, -x = 4*x + 3*q - 365. Let u = x - 69. Solve -2*k + 5*w + 19 - u = 0, 3*k = w + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2750 times 0.51?\nAnswer: 1402.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2146, 3, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-3)*(75 - 80122\/1067).\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000222797272 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -194627 or -16\/63?\nAnswer: -16\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30927 by -10309.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6555760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.3 + 0.3. Let c = -35 + 69\/2. What is the nearest to i in c, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**6\/6 + 5*y**5\/4 - 5*y**4\/12 - 25*y**3\/6 + 73*y - 1. Find o such that c(o) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 - 38. Let c(u) = -u**3 - 9*u**2 - u - 9. Let n be c(t). Suppose n = 11*i - 8*i - 27. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 0 + 1 + 2*n + 19*n**2 + 7 - 2*n**3. Suppose 18*f - 177 + 33 = 0. What is the tens digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-231)\/((-9933)\/430))\/((-6)\/(-54))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2583210 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 8944270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 8*s**4 - 8*s**3 + 16*s**2 - 8*s - 4. Let k(t) = -9*t**4 + 7*t**3 - 17*t**2 + 9*t + 5. Let d(n) = -4*k(n) - 5*r(n). Factor d(b).\nAnswer: -4*b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2282.05 + 2171. What is v rounded to 0 dps?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34\/102*6\/2*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 400167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2387 - 2430 - (1 + -87)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 215?  (a) 401  (b) 1\/18  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7898357 is divided by 987293.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 3\/88  (c) 1\/4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 10*i. Let q(k) = -10863*k - 2. Calculate d(q(w)).\nAnswer: -108630*w - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 179328610 divided by 566\nAnswer: 316835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 961, 960, 959, 958?\n\"Answer: -l + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3025470 is divided by 100849.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z. Let q(m) = -m + 13. Let p be q(6). Let o(y) = 5*y - 4. Let i be o(p). Suppose 0*r - 8 = h - 2*r, -i = -3*h - 5*r. What is u(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r - 12. Let u be c(-15). Is u at least as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -4*i**2 + 1. Let x(h) be the third derivative of 0*h - 5*h**2 - 1\/10*h**5 + 2\/3*h**3 + 0 - 1\/6*h**4 - 1\/120*h**6. Let t be x(-5). Calculate r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 5*q - 7 - 13, 4*q = 3*p - 19. Suppose 0 = -p*d + 196 + 24. Calculate the greatest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(-15))\/(n*n**(1\/6)))\/(n**13)**(-2\/25))**(-1\/23) assuming n is positive.\nAnswer: n**(2119\/3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*y = -100*y - 44*y - 113*y - 6384 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 8*j**2 - 14*j + 6. Let c be u(6). Is (-8)\/((-48)\/9)*(-9836)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**6\/20 + d**5\/15 + 3*d**2\/2 + 4. Let h(p) be the second derivative of k(p). What is the third derivative of h(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -338, 5, -6, -4, 3 in ascending order.\nAnswer: -338, -6, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j. Let h be r(-6). Suppose x = 3*z + 277, -h*x - 3*z = -2*x - 1168. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102001002 (base 3) in base 10?\nAnswer: 8048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + d + 5 = 0, 0*q + 4*q - 33 = -5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -319 + 319.2. What is the biggest value in -31\/4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 - -2022020?\nAnswer: 2022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/((-2)\/(-52)*-2). Suppose 0 = -g + 3*g - u. Suppose -l + g = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 97, 189, 281?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 3*x + 26075, 5*x + 44548 + 7547 = 4*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -14*t - 24, 5*t + 224*k - 2 = 227*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*a + 484 - 422 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3529227*l**2 + 4252451 wrt l?\nAnswer: 7058454*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**3 + 6*x**2 - 11. Let l(h) = 9*h**2 - 4 - h**3 + 385*h - 385*h - 17*h**2 + 10*h**2. Give -4*b(y) + 11*l(y).\nAnswer: -3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v = 4*v + 41*v - 220 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*v = -0*v - 18, -21 = -3*y - v. Let r be 4\/y + 8\/(-30). Let w = -2865 + 2866. Which is the nearest to r?  (a) w  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 57*b**2 - 187*b - 818330 wrt b.\nAnswer: 114*b - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 - -0.25. Let k = p - 0.48. Let y = k + 0.08. Is y at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 - -45. What is the remainder when 19 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 3:45 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 0.5  (b) 4  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/84*-1*(-1)\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -2*l**2 + l. Suppose 10 = 5*u, -u - 3*u + 4 = -2*n. Let p(j) = -j + 5. Determine n*p(y) + 3*f(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 245208 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1052*u - 29*u + 49*u - 638*u to the form y*u + b and give y.\nAnswer: -1670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + (6 - (-13 + (23 - 18))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -9\/4  (c) -2  (d) 7  (e) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2. Let h(r) = 3*r**2 + 1514*r. Determine h(t(a)).\nAnswer: 3*a**4 - 1514*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20992\/(-3280))\/(-1 - 19\/(-5)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2. Let g be -3 - ((-6)\/(-27) + 2434\/(-18)). Let s(i) = -132*i + g*i + i**2. Calculate z(s(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -217 + 408. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 + 0.2. Let q = 5 - 5. Is q smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*n + 15, -3*m = -0*m - 3*n + 15. Let f(z) = 3*z + 3*z + m*z - z. Let t(b) = -21*b**2 + 2*b**2 + 14*b**2. What is t(f(x))?\nAnswer: -125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 113*i - 513. What is g(5)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x + 1041 = 1073. What is the least common multiple of x and 4210?\nAnswer: 8420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -4\/9, -6\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 32*l**4 + 2*l**2 - 2*l + 23. Let q(u) = 225*u**4 + 15*u**2 - 15*u + 160. Let r(j) = 15*g(j) - 2*q(j). Find the first derivative of r(m) wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n**2 + 37*n + 125. Give x(18).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppyy when four letters picked without replacement from {y: 9, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8 = 60*v - 58*v, 0 = 4*g - 5*v - 18. Let s = 15 + -10. Let f(z) = -s*z**2 + z**3 + z**2 + 3*z**2. Calculate f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 + 1512 = 34*y. What is the remainder when 76 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 2. Let i(b) be the second derivative of -3*b**3\/2 + 12*b**2 + 15*b. Let q be i(5). Let v = -28 - q. Calculate l(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 3*h + 6. Let u = 3 + 1. Let j be t(u). Let w = j + -23. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*c**4*d**2 - 29629*c**4*d - 31530*d**2 - d - 12 with respect to c.\nAnswer: 52*c**3*d**2 - 118516*c**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-10))\/(4\/20). Let k be 1*-3*16\/14. Which is greater: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -343008.589 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 3*w - 34, -w + 23 = 1636*v - 1634*v for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -2*j - q, -j + 2*q + 0*q - 6 = 0. Let s = j - -12. Suppose s*w - 2 = -3*d + 3, -3*w = -5*d + 47. 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 v be (-4)\/14 + (-36)\/(-126). Sort -3, 11, v in decreasing order.\nAnswer: 11, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3042 and 42.\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 364, 730, 1096, 1462?\n\"Answer: 366*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -267*c + 534. Let n(r) = -2. Let m(y) = 267*n(y) + u(y). Let f(q) = -q**3 + 4*q**2 - 1. Let a be f(4). Is m(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, -3\/1534, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 634215 - 443815. What is o rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5223, -10445, -15667, -20889?\n\"Answer: -5222*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -45890 divided by -22945\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58615?\nAnswer: 5, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -11085 divided by 2217\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*o**4 - 54861*o**3 + 6295903*o**2 + 6244161*o - 106722 = 0.\nAnswer: -1, 2\/119, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.33 and 0.0546.\nAnswer: -0.018018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18633, -18635, -18637, -18639, -18641?\n\"Answer: -2*t - 18631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*4*-2*-5*-5)\/((sqrt(120)\/sqrt(18))\/(sqrt(10)*2*-3 - sqrt(10) - sqrt(10))).\nAnswer: 4800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.15 - -37.15. Let k = 23 - i. Let z = k + 9. Sort z, -3\/8, 0.4 in increasing order.\nAnswer: z, -3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1299*s**3 - 36*s**2 - 173213.\nAnswer: 3897*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/5*t**2 - 6\/5*t**4 + 0 - 8\/5*t**3 + 0*t = 0. What is t?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w + 3. Let p(o) = 4. Let f(n) = 3*m(n) - 3*p(n). Let l be (-3)\/(-6) + 26\/4. Let c(j) = 4*j - 1. What is l*c(y) - 3*f(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2c131 + c3?\nAnswer: -2c04c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + (-141)\/(-69))\/(-60 + (-85618)\/(-1424)).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 6*o**2 - 2. Let b be (1\/2)\/((-2)\/144*-6). Let a be m(b). Let l be a\/(-2 - -4) - (1 + -2). Solve d = -l + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1464, 5985, 13532, 24111, 37728, 54389?\n\"Answer: p**3 + 1507*p**2 - 7*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 1418 = 4*m, -4*m = -4 - 4. Let q(a) = -6*a**2 - 236 - 234 + k. Let r(j) = -7*j. Calculate r(q(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express u**3 + u**3 - 4*u**3 + (-46*u**2 - 11*u**2 + 8*u**2)*(-4 - 2*u + 4) + 20*u**3 - 29*u**3 - 27*u**3 in the form f*u + s*u**3 + m + c*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.29 and 2.8249?\nAnswer: 3.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -125 + 61 - 3*v + 0*v - 4*v**2 + v + 71. Determine q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -4 + 7 - 4 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2160) + (-1*sqrt(2160) + sqrt(2160))*5 + 4*2*sqrt(2160))\/(1*sqrt(500) - 2*(sqrt(5) - (sqrt(245) + sqrt(5)) - sqrt(5))))**2.\nAnswer: 8748\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2*j**3 + 2)*(-1212 + 2162 + 1568) to the form a*j**3 + l + t*j**2 + b*j and give a.\nAnswer: 5036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 9*b - 7. Suppose 0*l = -2*l + 12. Let o be u(l). Let i = o + 47. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6944, -3244, 456, 4156?\nAnswer: 7856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*b**3 - 51*b + 5*b**3 - 121*b**2 + 122*b**2 - 2 + (-2*b + 6*b + 0*b)*(0*b**2 + 3*b**2 - b**2).\nAnswer: 7*b**3 + b**2 - 51*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 16) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/15*-3*2\/22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 5:52 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-12) + 2\/4. Suppose r = -a - a + 288. Let n be 6\/15 - a\/(-15). Solve -d - d - n = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/18*((-21)\/35)\/(45\/(-1950))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1503 + -11003431?\nAnswer: -11001524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n + 3. Let y be 2 + (-10)\/15*-3. What is o(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3385  (b) 0.1  (c) 0.04  (d) 1  (e) -0.9  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1764*a = -735 - 3388 - 15281 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 5. Suppose -j = -5*q - 548, 3*j + k*q = 3*q + 1680. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*q = 151*q + 78 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o - o - 29*o**4 + 7*o**4 + o**4 + 8*o**4 - 2 to b + s*o**2 + t*o + g*o**3 + y*o**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -157060472 equal to -157060471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*u + 39*l - 37*l, 3*u - l = 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -284, -813, -1750, -3209, -5304, -8149, -11858?\nAnswer: -16545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5521, 22103, 49761, 88507, 138353, 199311, 271393, 354611?\n\"Answer: 2*h**3 + 5526*h**2 - 10*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 666534.7um to millimeters.\nAnswer: 666.5347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 174\/9*9\/(-6). Let l = x - -52. Let r(d) = d**2 + 19*d + 21. Let o be r(-18). Solve -k - l = 4*u, 2*u + 1 = 2*k - o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 611*h - 593*h + 144 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knp when three letters picked without replacement from pjkkdddkpdkdnnpkd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 2*f**7\/21 - f**4\/6 - f. What is the third derivative of d(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 12 + 48 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 + -4b664b3b?\nAnswer: -4b664b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(2 + 50\/4). Let f = -291\/5 - j. Sort -3, 3, f in increasing order.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 530*-60576.\nAnswer: -32105280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 47 + 15*v - 6*v + v - 4*v. Let y be p(-7). Suppose -y*t + 3*g + 4 = -5, 4*g - 5 = t. Solve 0 = d - 2 + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - 51. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 8, 2, 9 in descending order.\nAnswer: 9, 8, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 + (-1 + 5 - 24 - -24)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1113*i**2. Let k(p) = 6*p**2. Calculate w(k(b)).\nAnswer: 40068*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 4*v**2 - 4*v + 4. Let k be (-59)\/9 + (22 - (-9568)\/(-468)). Let i(n) = -2 + 0 - 3 + 5*n + n**3 - 5*n**2. What is k*x(b) - 4*i(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(sqrt(242) + sqrt(242) + -5) + 2.\nAnswer: -13 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2791669 - 2791472 + 15*j + 5583141.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2\/(-3) + (-178)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*k**3 - 61*k**3 + 15*k**3 - 61*k**3.\nAnswer: -201*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**2*v**3 - 4391*i**2 - 2310*i*v**3 + 2*v**3 - 2*v**2 + 2 wrt v?\nAnswer: 6*i**2 - 13860*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 7:27 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 7*u. Let m be o(7). Suppose -h + 9 = 4*f, -5*h + 5 + m = 0. What is the first derivative of 0 - f*p - 2 + 4 - p wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.58 * -1298.9\nAnswer: 3351.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, x: 13, p: 3}. Give prob of sequence dx.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 296 and 352.\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 9 - 14) + -2 - -8 - 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7745 divided by -1549\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of 9\/2*l**2 - 1\/20*l**5 + l**3 + 7\/12*l**4 - 116*l + 0. Calculate j(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, y: 1, f: 1, p: 1, c: 5}. Give prob of sequence uy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 6*y**2 - y. Let l be q(1). Let r be (20\/6)\/(l\/(-15)). Let m be 8\/20 - 126\/r. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4682540319 to the nearest integer?\nAnswer: 68429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by 910498.\nAnswer: 6\/455249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1206 + 1197 = -9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 8 - 3)*((-12 + 2 - 3)*(-o**2 - 2*o**2 + 4*o**2) - 2*o**2 - 2*o**2 + 8*o**2).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -42\/15212107 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 14*o - 871. Calculate r(37).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s + 22*s - 2296 = 0. What is the remainder when 211 is divided by s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3034 divided by 41?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61930*v - 62928*v + 126557*v.\nAnswer: 1699*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 104837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 96147?\nAnswer: -96145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 259*523331.\nAnswer: 135542729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -26\/27  (b) -2\/11  (c) 0  (d) -2\/13  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o - 19. Let j be t(-21). Let n = -26 + 26. Suppose n = -4*w + 8*w - 32. Solve 0 = 2*d + j*d - w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -956459\/86 and -11122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6869 - -2369. Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 6*y**2 - 25*y - 23. Let w be u(5). Put -4, 4, -20, w in ascending order.\nAnswer: -20, -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 47*m - 46*m - 10, -4*q = -4*m + 24. Sort 2\/7, 3, 0.09, 0.2, m.\nAnswer: 0.09, 0.2, 2\/7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, o: 2}. What is prob of sequence vm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 3, -4, -2\/9, 0.1281, 157, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 214 - 94. Let a be 13\/((-78)\/n)*6\/(-5). Suppose -4*u + 2*g = -2*g - a, -2*g - 3 = -u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -95*i**2. Let q(a) be the third derivative of -2*a**5\/3 - 4924*a**2. Determine q(f(x)).\nAnswer: -361000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xby when three letters picked without replacement from {y: 5, b: 3, x: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -d - 3*v, 3*d + 12 = -50*v + 48*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -38*x + 157. Calculate g(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 75 = 822*q - 827*q, -4*q - 2*b = -56. Calculate the remainder when 1337 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1309 and 28.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aasss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 - 54. Let c = 48 + a. Suppose 18*u - 17*u - c = 0. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26842 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-56 - -26)\/15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/222)\/(-3*47\/846)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406049598?\nAnswer: 2, 3, 271, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3618*l + 1277*l = 19580 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -0.1, -0.2, 124, -5, -5.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 11  (c) -45  (d) -3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/87 at least -0.06376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -778*i - 8520 = -784*i. Calculate the remainder when i is divided by 206.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**3 + 3*r**3 - r - 22*r**2 + 21*r**2. Let q(c) = 12*c**3 - 11*c**2 - 11*c. What is 66*i(l) - 6*q(l)?\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -766 - -769. Sort 8, -7, r in decreasing order.\nAnswer: 8, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from gbgkbihi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 6:41 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 69 = o, 0 = -141*p + 138*p + 2*o + 60. Which is smaller: p or 351\/16?\nAnswer: 351\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*((-c + 10*c - 2*c)*(-c**2 + 4*c**4 + c**2) + 2*c**3 + 2*c**5 - 2*c**3).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2156*-3.06\nAnswer: 6597.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 13191.666 to zero dps.\nAnswer: 13192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17, 18, 19, 20, 21?\n\"Answer: s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1902*q**4 - 35*q**3 + 6060*q**2?\nAnswer: -45648*q - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -7*u + 4*f + 204, 5*f = -4*u + 177. Suppose 3*w - u - 21 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 40 = -3*u - 0*s, 2*s - 35 = -5*u. Suppose -4*f = 5*z - 357, -2*f = -u*f - 6. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73*l**2*t**2 + l**2*t + 104*l**2 - 31031*l*t**2 - 8*l*t + l - 2*t**2 + 59*t - 2 wrt t.\nAnswer: 146*l**2 - 62062*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnnn when four letters picked without replacement from nnnnjjnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -430389949*r**2 + 376261222?\nAnswer: -860779898*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -876 + 106. Let d = 565 - o. Suppose v - d = 113. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 h, 1 m, and 1 y when four letters picked without replacement from {m: 1, h: 1, p: 7, y: 8}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 11*m - 9. Calculate the remainder when 37 is divided by d(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 5:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12030.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 9:03 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5880667671?\nAnswer: 3, 7559, 86441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 3*p**2 + 3*p + 7. Let d be f(4). Calculate the least common multiple of 20 and (d - 5)*(-3)\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -855 - 363. Let a be (-4)\/10 + r\/10. Let v = a + 57. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137445108 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137897.\nAnswer: 73, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.5 - -0.557. Let c = b - 0.056999927. What is c rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((1920\/408)\/(-20))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6150.1 in -1\/8, -2\/3, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.325 - 0.21. Let b = 7.91 - 5.71. Let d = b - g. Round d to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -672 - -6?\nAnswer: -66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37978.\nAnswer: 2, 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of i**3\/2 + 3*i**2\/2 + 12*i. Let k be b(-1). Suppose g - 5 + 0 = k. Solve -2*o = g*u + 28, o + 20 = -2*u - 2*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of 1\/4*v**2 + 1\/4*v**3 + 1\/24*v**4 - 1\/30*v**6 - 3\/40*v**5 - 63*v + 0. Find k, given that w(k) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 44, 60, 72, 74, 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 u, and 1 n when four letters picked without replacement from {a: 1, q: 4, u: 3, v: 1, n: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 574050925 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -1\/24*f**4 + 0 + 0*f**3 - f**2 + 0*f. Let a(q) = 2*q**2. What is n(a(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3152496 divided by 1?\nAnswer: -3152496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 513*h**2 + 30*h - 1. Let l(o) = o**3 - 510*o**2 + 25*o - 1. Determine 6*l(i) - 5*y(i).\nAnswer: i**3 - 495*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1497, -1164, -853, -576, -345, -172, -69, -48?\n\"Answer: -2*p**3 + p**2 + 344*p - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1015949042753\/2807 - 361934114. Let c = 40\/3 - 16043\/1203. Let o = c - w. What is the common denominator of o and 97\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2 - 6 + 6. Let f(y) = -y - 2. Let k(u) = 5*f(u) + 4*q(u). Let g(h) = -2*h + 1 + 0*h - 2. Calculate -14*g(z) + 6*k(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) -7  (b) 5  (c) 0.0897  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(30\/(-40))*(-1)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 1, t: 6, u: 3, s: 1, q: 1, r: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85865 is divided by 1384?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -2. Let d(t) = -309*t**3 - t**2. Let s be d(-1). Suppose l*j = j + s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 651*k = 386*k + 104909 + 132796. Calculate the remainder when k is divided by 231.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x + 3. Let d = -20 + 15. Let p be -2 - (-24)\/(-3)*-1. Suppose -y - 2*y + p = 0. Let k(g) = -2*g + 7. Calculate d*a(w) + y*k(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 215009518 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {e: 2, m: 1, d: 3, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37347.27 kilograms to nanograms.\nAnswer: 37347270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5629109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -91, -183, -275, -367?\n\"Answer: -92*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 2:58 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*l**2 + 26*l**2 + 33 + 38*l**2 - 63*l.\nAnswer: 104*l**2 - 63*l + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/10)\/((-20)\/(-50)) + 10. Let n(z) = 1113*z - 43. Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.2, -5, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(76)*2*-3)\/((-2*sqrt(3564))\/((sqrt(99) - sqrt(99)*2) + sqrt(99) - sqrt(99))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42614 and 650.\nAnswer: 1065350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -3\/16  (c) -1\/3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -26*n**2 - 5*n + 3. Let m(w) = 9*w**2 + 2*w - 1. Let v(l) = -3*a(l) - 8*m(l). Let p be v(-1). Solve 5*u + p = 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zwqqzyrzqyqt. Give prob of sequence yzyr.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t - 30*t = -2755. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**0*q*q*q*q**0)\/((q*q**0)\/q)**(-5\/8) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*x + 41 = -114. Suppose x*t - 22 = -7. Solve -2*g = 3*u - u + 10, t*g = u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1303 - 1007 = -192*r - 18*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-54)*(-112)\/24 and 79\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -43\/7  (b) -41\/8  (c) 4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (180 - 180 - 13*v)*(-v + 0 + 0)*(3 + 0 - 4) to the form s*v**2 + a*v + q and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/3, 2, -51, -1.2, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*-2)))\/sqrt(10))**2 + 4 - (-1 + (sqrt(110)\/(sqrt(40)\/sqrt(64)))**2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37*b**6 + 8264*b**5*n**2 - 8*b**2*n**2 - 4*b*n**2 - 3*b - 3*n**2 - 23*n wrt b.\nAnswer: -4440*b**3 + 495840*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 35, 9, -17?\n\"Answer: -26*z + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3353, -6039, -8725, -11411, -14097?\n\"Answer: -2686*d - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*u**4 - 37*u**3 + 5*u**2 + 6873*u.\nAnswer: -252*u**2 - 222*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 6*i**2 - 4*i. Let d be z(5). Which is the second smallest value?  (a) d  (b) 0  (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, v: 4, q: 4, u: 6, x: 2}. Give prob of picking 2 b.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**4\/7 + 34*l**3\/7 - 36*l**2\/7 = 0.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/1080 and -137\/537480.\nAnswer: 1612440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 0, 3816, 15, 5, -1.\nAnswer: -4, -1, 0, 2, 5, 15, 3816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -427763*b**3 + 11*b**2 - 13720575*b wrt b?\nAnswer: -2566578*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -15 + -6 + 2 + 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -390.7826393 - 22963.5072727. Let y = -23354 - p. Let f = y - 0.29. What is f rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 69402, 69403, 69404, 69405?\n\"Answer: s + 69401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 312734 and 2710?\nAnswer: 1563670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 8*a - 14. Suppose a*p + 4*p - 18 = 0. Suppose p*r - 5*l = 2638, 3*l = 10*r - 6*r - 5276. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7971942 greater than 7971936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -14*b. Let y = -1 + -5. Let c be h(y). Let o = -28 + c. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 791 + -790.94. Let s = 2 + -1.5. Sort s, -2, b, -0.1 in descending order.\nAnswer: s, b, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 3*r**2 + 4*r - 2. Let x be f(4). Let j = 97\/670 - 3\/67. Which is the closest to x?  (a) -2\/5  (b) 1\/9  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/7 + (-9)\/(-21). Suppose 5 = -4*t + f, -4*f + 16 = -3*t - 4. Which is the third biggest value?  (a) p  (b) t  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24651101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 23316\nAnswer: -6994.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -431 at least 33\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 44975638 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/((o**(-6)*o)\/o))*o**(-8))\/(o**(-1\/3))**(-2\/41) assuming o is positive.\nAnswer: o**(-1724\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*p = 45*p - 5. What is the units digit of ((0 - p) + 7)*41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -83817, -167572, -251321, -335064?\n\"Answer: 3*o**2 - 83764*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 375 divided by -5\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -6*n**3 + 2*n - 6. Let b be z(-3). Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35*(-25 - 38632\/(-1540))*(56\/6 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 446745.\nAnswer: 3, 5, 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 63 = -93. Suppose -5*s + 5*y + 355 = -145, 0 = -3*s + z*y + 308. Is 48 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.1, -0.2, -4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*(sqrt(325) + -1*sqrt(325) + 1 - sqrt(325))**2 + ((sqrt(130)*-4)\/sqrt(10) + sqrt(117) + 0 + sqrt(13))**2).\nAnswer: -1304 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-96)\/(-90) + 1*-1)\/((-32)\/128)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 50 times 17380.5\nAnswer: 869025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 23*o**2 + 0*o**4 - 23\/10*o**5 + 0*o**3 + 11*o + 2. Differentiate b(p) wrt p.\nAnswer: -138*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b - 1 + 3*b + 5. Let v(g) = -g**2 + 8*g + 5. Let r(x) = -5*q(x) + 4*v(x). Find the second derivative of r(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, 1\/7, 29, -0.5, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8179612 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3  (b) 5  (c) 0.3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 (base 7) in base 8?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -8373, -35687, -81937, -147123?\n\"Answer: -9468*j**2 + 1090*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18\/269 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8\/13?  (a) -7  (b) -6\/11  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**3 - 8*j**2 - 2*j**3 + 2*j**2 - j**2 + 11*j**2 + 6 to the form y*j + g*j**2 + f*j**3 + p and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 289 or -48157?\nAnswer: -48157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 108, 242, 416, 624, 860, 1118, 1392?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 9, w: 9}. Give prob of picking 3 r.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 781 - -430697\nAnswer: 431478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-30)*-1)\/((-75)\/(-45))*50\/(-645)?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1328 + -0.4.\nAnswer: -0.5328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4722686730 to the power of 1\/3, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 at least 6912\/281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37503 is divided by 262?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0.8, 2, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -69*a + 30*a + 29*a + 358070. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.4, 5, -1, 83 in ascending order.\nAnswer: -2, -1, 0.4, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 10 = 0, 0 = 2*n + d + 2240 - 8302. What are the prime factors of n?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -2) + (2 - (-2 - 0) - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1\/2, 26, 42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 194, 756, 1694, 3008, 4698, 6764?\n\"Answer: 188*k**2 - 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 12*m**2 - 12*m - 5. Let o be b(13). Suppose 0 = q, o = 4*u - 6*q + 2*q. Let t be u + -2 + 2 + 2\/(-2). Let d(z) = 6*z**2 + z - 1. What is d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 11*m**2 + 16*m + 63. List the prime factors of u(-4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39690 - 39685. Let f = 5 - 9. What is the nearest to -0.4 in -5, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/100*12\/8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5170515, -10341042, -15511581, -20682132?\nAnswer: -25852695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-4)\/3 - 1\/3. What is the nearest to 4 in 1\/3, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54 divided by -3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -2)*(-18)\/(-90)*(1 + (-374)\/4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 458, 785, 974, 1025, 938, 713, 350?\n\"Answer: -69*r**2 + 534*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-98)\/4655)\/(2\/10*1)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -325 + 325.29. Which is the smallest value?  (a) 1\/7  (b) g  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001110 - -111001101001?\nAnswer: 111000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 - 172775*x - 345530.\nAnswer: -5*(x + 2)*(x + 34553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -29936886 divided by -2138349?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/81*594\/924.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -51, 0.1, -2\/3, 4725?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 620488093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -5*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1918)\/(-63) + (25 - 11450\/450)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131896 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, s: 3, n: 3, b: 3, e: 7, k: 1}. Give prob of picking 2 e.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 37, 73, 109, 145, 181, 217?\n\"Answer: 36*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 389 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: In base 7, what is 10 + -552626422?\nAnswer: -552626412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 less than or equal to -2\/275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of 0*n**4 - 45\/2*n**2 + 13\/4*n**5 + 90*n - 2 + 0*n**3. Let t(m) = -3*m**3 + 2. Calculate 4*q(u) + 90*t(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -908476 divided by -4\nAnswer: 227119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -190 + -236805200.\nAnswer: -236805390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6c5 - -2e?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1845325 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3190537*r**5*t**2 + 44*r*t**2 + 33*r*t - 31*r - t wrt r.\nAnswer: 63810740*r**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -770 - -771. What is the second biggest value in -14, o, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 81, 2, -4.\nAnswer: -4, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of j**6\/120 - 4*j**3\/3 - 4*j. Let c(n) be the second derivative of r(n). Let d(k) = -k. Give d(c(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(75) + sqrt(75)*1)\/sqrt(5))\/(-5*1*sqrt(5)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**4 - 255*a**2 - 27*a - 6?\nAnswer: 12*a**2 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 80667470 rounded to the nearest one million?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -4\/5, 150, -2\/13, 3\/8, -2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1448 - 1460 = 449*m + 684 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 1563\nAnswer: 4\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21625 (base 11) to base 9.\nAnswer: 47021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7759 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 108821851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -13207*h**2 - h - 25. Let r be s(9). Let m = -1929801 - r. Round m to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 25517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1189\/2 - 593. What is the second smallest value in 123, -1\/2, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + (-38)\/(-10) - 18\/(-15). Let t = 33 + -23. Calculate the greatest common divisor of c and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 23 = 3*k, 5*k + 14 = 3*k + 3*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)*-1*-6 + sqrt(756))\/(sqrt(972)*1).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24727481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -4*u + 18, -8 = -5*b - 8*u + 9*u. Suppose -30 = -b*h + 72. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1352788.\nAnswer: 2, 338197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of o**4\/12 + 2*o**3\/3 + 36*o**2. Let f be (3 - 0 - 1) + 2. What is t(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49729 + 3300*c - 1949*c - c**2 - 1797*c.\nAnswer: -(c + 223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -316, -604, -892, -1180?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -69*m + 43. Let c be d(-8). Let l = -38 - -340. Let y = c - l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101 - 111011111101100000?\nAnswer: -111011111110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54098 and 1309.\nAnswer: 6437662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28\/1579 + 114209\/118425. Find the common denominator of 27\/485 and i.\nAnswer: 7275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 12 = -4*q. Let n be (q + 3)*(-3 + -2). Let i be 1*(-1 - 0)*n. Which is the biggest value?  (a) -1  (b) i  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38 + 33. Which is the closest to -1\/3?  (a) 4  (b) -6  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/4 + 210\/24. Let c be (-11)\/u + (-4)\/(-18). Is 1\/7 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooooovovoooo. What is prob of sequence voo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 2*w = -50, 1438*g - 65 = 1440*g - 3*w for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.34 - -5.34. Which is the nearest to 1\/2?  (a) -2\/13  (b) 6  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 2 - (7 + 14 + -11 - 30).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 9*d + 2. Let k be t(-9). Suppose 3*w + 4 = 4*r, 0 = w + 3*r - k*r - 8. Let 2*x - 34*x**3 - 25*x**4 + x**w + 8*x**3 = 0. Calculate x.\nAnswer: -1, -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*d**3 - 37*d**3 + 39*d**3 - 204*d**3.\nAnswer: -396*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/4*4702)\/(9*7\/21). Which is smaller: z or 1175?\nAnswer: 1175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -14.43.\nAnswer: 10.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/16, -5, 0.245, 0, 34\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2946 is divided by 1462.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71429*b + 71410*b = 95 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4666 - -21826. Is x a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 378744*v**4 - 1419*v**2 - 22*v wrt v?\nAnswer: 9089856*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-21) + -1)*1407\/2010.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2009457 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*v - 80*v - 97*v + 143*v.\nAnswer: -105*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 5*p + 0*p + 4*p - 9. Let f be l(12). Let r = 303 + -294. What is the highest common divisor of r and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 164\/1863 + -2\/1863. What is the biggest value in -1\/53, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 10 = -t. Suppose -16956433 + 2956433 = t*r. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 - (12 - (-2 - 1)) - 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/(-5724)*7\/2*36\/126?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((-2*sqrt(1377) - sqrt(1377)) + -5 + (1 + sqrt(1377) + 0 - sqrt(1377)) + 1)*6)**2 + -5.\nAnswer: 5832*sqrt(17) + 446467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -4 + 2*v + 4. Suppose 2 = 3*p - 1, -4*p + 4 = a. Let s(d) = 5*d + 0*d + a*d. What is -6*m(k) + 2*s(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/10 - 4033\/545.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/1470 and 181\/1680.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -4, 2\/5, 5085, 34?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -67*c - 342. Determine x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6532.837l in millilitres?\nAnswer: 6532837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(186\/72)\/(-31)*-21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 1 - 4. Let s = 6 - l. Suppose -3*z - s = -32. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*s - 15210 = 75510. Suppose 69*t = 57*t + s. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 - b**2 + (0*b - 3*b + 4*b)*(-2*b - 3 + 3) - 4*b**2 - b**2 + 8*b**2 + (-3*b**2 - b**2 + 3*b**2)*(2 + 1 - 1) as a + f*b + u*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*g - 27 = 5*s, -3*g + 9 = -2*s. Let a = s - -10. Let k be 19 - (2 + (3 - 6)). Solve 2*j + 10 = -2*p, -a*j - k = 4*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -5*l + 621 - 66, 3*l = -3. Calculate the remainder when 14558 is divided by q.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57860*t + 85388*t - 51042*t.\nAnswer: -23514*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1797 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1286 and 1135395254.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 - 93\/2. Let w = 11 - -12. Let n = 29 - w. Sort u, n, 5 in ascending order.\nAnswer: u, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -908d5bd?\nAnswer: 908d5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 261603 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -44.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.65 and -10507.\nAnswer: -10504.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1980 is divided by 1977.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 4. Suppose -4*b - 5*s = 506, 0 = -3*b + s + s - 391. Let r = b - -643\/5. What is the closest to x in 0, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -0.284.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 111384152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 8*d**3\/3 - 25. Let z(c) = -2*c**2. What is u(z(a))?\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 - -101001000?\nAnswer: 101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pswgsp. Give prob of sequence wgs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1528395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**3\/5 + 87*h**2\/5 - 126*h = 0. Calculate h.\nAnswer: -35, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + c - 5. Let k be z(3). Let d(y) = -y - 24*y + k*y. Let x(m) = m**2. Calculate x(d(w)).\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 447023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 286448*o - 573650*o + 286826*o.\nAnswer: -376*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*g - g - 4*g)*(115*g + 11 - 11)*(3*g**2 + 0 + 4 - 6)*(1 - 2 + 0) to t + b*g**3 + v*g**2 + n*g**4 + q*g and give v.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**2 - o + 1. Let l(w) = -w + 7. Let s be l(5). Let i be z(s). Suppose -1 = -b + i. Solve -3*g + b*g = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 11093  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 + 1 - -3) + 4. Suppose 2*j - g = -5*v, j - 24 = 5*j - 4*v. Is 24\/9*(-18)\/j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t**(1\/4))))**2*(t*(t\/(t**(-6\/7)*t*t)*t*t)\/t)\/(t\/((t*t**1*t)\/t)*t) assuming t is positive.\nAnswer: t**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 208 + -146. Suppose -8*o + 59 = -3*o - 2*x, 5*o - x = l. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 114, 115, 116?\n\"Answer: g + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -9. Let d be (-5)\/2*(4 - 6). What is the nearest to g in 2\/9, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*a)*(-a - a + 22*a**3 + a).\nAnswer: -44*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*h - 4*h - 12 = 0, -2*h = 3*n + 24. Let l be (6 + 58\/n)*-3. Solve 14*r = l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 2 = 3*m + 4, -9 = 3*j. Let y(l) = -22*l**3 + l**2 - 3. Let t(n) = -66*n**3 + 3*n**2 - 8. Calculate m*t(d) - 8*y(d).\nAnswer: -22*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 3:09 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -70 (base 16) to base 14\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35068 - 35067. Let x be 96\/140 - 4\/14. Which is the nearest to x?  (a) k  (b) -0.5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0*t = -1. Let n = -45 + 50. Let d(b) = 2*b**2 + 4*b - n*b + 0*b**2. Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - 0) + 13 + -9. Let m be (-32 + 4)\/((-2)\/a). Let u be (m\/(-15))\/(1\/2). Which is greater: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 4)*(2*k - 5*k + 4*k)*(-k + 5*k - 2*k)*(9 - 5 - 2).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mbbhggrk. Give prob of sequence hb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**4\/12 + d**3\/2 + 3*d**2\/2 - 33*d. Let j be (8\/2)\/(-2) + -3. Let s be (-2 - -1)*j\/(-1). What is o(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -14 - (3 - 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35225550?\nAnswer: 2, 3, 5, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 980*p - 956*p - 13104 = 0. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/147164 and -51\/128.\nAnswer: 4709248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*s = -4*s. Let u = s + -4. Let x be ((-1)\/(u\/(-32)))\/(-2). Solve -6*d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 426 divided by 142\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 8 + 1)*(-2*t + 2*t - 2*t + 2)*(-5*t**3 + 5*t**3 + 2*t**3) in the form a*t + p*t**2 + y*t**4 + u + q*t**3 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 4 - 4)*((-5 + 4 + 0)*(5*a**2 - 3*a**2 - a**2) - 2*a - 3*a**2 + 0*a + a**2 + 13*a**2 - 59 + 59).\nAnswer: -20*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117*z - 343*z - 65*z to j*z + s and give j.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/9040 and 43\/412?\nAnswer: 931120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 149298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 327*f**3*m**3 - 4*f**3 + 78*f**2*m**3 + f**2*m**2 wrt f?\nAnswer: 1962*m**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxxdddgddgd. What is prob of sequence gg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-18)\/x**(-19) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/5, 28, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 + -30. Suppose w*r + 5*m - 10310 = 0, 2*m = -5*r - 734 + 11047. Suppose -167 = 8*f - r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76323 divided by 309?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 6:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 5*j**2 - 2. Suppose 2*f + 4*i - 9*i - 21 = 0, 3*f = -3*i - 21. Let g(u) = 4*u**2 + u - 2. Calculate f*n(y) + 3*g(y).\nAnswer: 2*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -122*h**2. Let r(g) be the first derivative of g**2 + 407. Determine r(v(s)).\nAnswer: -244*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*n**4*s**3 + 7*n**3*s**3 - 54*s**3 wrt n?\nAnswer: -24*n**3*s**3 + 21*n**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 48\/107?\nAnswer: 48\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 4:01 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.085 + 0.185. Let h be (8\/6)\/(2*(-4 + 7)). What is the closest to i in 0.1, 1\/5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -461908*d**2 + 9253*d - 8?\nAnswer: -923816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1099a + -119?\nAnswer: -11008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7821574.5493 + -7818773. Let x = -2775.549287 + t. Let w = x + -26. Round w to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8 - -1) + (-37 - -31). Solve 11 = -b*a + 2*l, 5*a - 3*l = -4*l - 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -78*z + 14568. Let j be x(183). Solve -7*c - j + 329 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*y**2 - 5*y**2 - 16 + 7*y**3 - y**3 + 3*y**2 - 8*y**3 as g*y**3 + p + q*y + f*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*t - 8579 = -7011 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -8*v + 83. What is u(19)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c. Let v(m) be the first derivative of 110*m**3\/3 + 6779. Give t(v(p)).\nAnswer: -550*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - -322. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*y**3 + 52317*y**2 + 3584160*y - 1028316 = 0. What is y?\nAnswer: -67, 2\/7, 2558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**6\/40 + u**5\/20 + u**4\/6 + u**3\/2 - u**2. Let s(m) = 2*m + 2. Let c be s(-2). Is h(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 11 = -3*p, 644*p - 5*q = 646*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) 4\/3  (b) -52  (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11399, 22859, 34317, 45773, 57227, 68679?\nAnswer: 80129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 10. Let l = -0.035 + -4.665. Let d = 0.7 + l. What is the nearest to -0.2 in 3\/2, z, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-5 - (0 - (3 + 1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 56016 + 6?\nAnswer: 56025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 775929 and 2079.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-8)\/(-660))\/(224\/(-560)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -15219709?\nAnswer: -6087883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of -2*h**2 - 11*h - 16. Let n be t(-4). What is the second derivative of -29*l - 159*l**5 + 81*l**n + 0*l + 74*l**5 wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.44 and 0.09.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand m - m**2 - m + (m - 2*m + 0*m)*(1 + 2*m - 1) + 1011*m**2 + 1371*m**2 - 5808*m**2 + 951*m**2.\nAnswer: -2478*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 125 - -516. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1952875 - -1952861.55863. Let r = i - -13.45. Round r to 4 decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1036 and 77318493.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 51806\nAnswer: 2\/25903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6243 - 16493 = -41*l. Find the common denominator of -65\/69 and (-2)\/1*(l\/(-12) - -12).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v + 162 + 258. Calculate the highest common factor of v and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -10*y**2 + 3*y. Let x(n) = 20*n**2 - 7*n. Suppose -8*h + 16 = -8. Calculate h*x(r) + 7*p(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1014889285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + (-2 - (2 - 1)). Let w(c) = -14*c**3 + c**2 - 1. What is w(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 28, 31, 34, 37?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 102197242 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 9:14 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdcl when four letters picked without replacement from {l: 2, b: 3, c: 2, j: 1, d: 3, z: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -260, 3, 2, 20, -10 in decreasing order.\nAnswer: 20, 3, 2, -10, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 656 is divided by 68.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = -3*q - 145. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 15) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 6. Let z = 12 - f. Calculate the least common multiple of 8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 65.2  (c) -1\/3  (d) -1  (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 4 - 21*z - 2 + 8 - 3.\nAnswer: -21*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -93 + 91. Sort g, 2, 27 in decreasing order.\nAnswer: 27, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 284 + 60 + 134 + 22*j**2 - 20*j**2 as g + o*j**2 + x*j and give g.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4*j + 10. Let s be 24\/15 + (-4)\/(-10). Let o be z(s). Solve -5*i + o*i - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m + 12. Give a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -220340*i**2 + 110069*i**2 + 110325*i**2.\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 4. Let z(q) = 3*q**2 - 11. Let c(y) = 11*v(y) + 4*z(y). Let f(g) be the second derivative of -3*g**3\/2 + 15*g. Calculate c(f(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 5 - -5 - 3 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and -0.03846.\nAnswer: 0.42306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 5*s - 9. Suppose -s*y = y. Solve y*j = -4*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/719 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -17\/137?\nAnswer: -17\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.7 times -2.8?\nAnswer: -4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 2*y - 1040 = -1046, -y = -2*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 30\/17?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4017.9 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3 + 3 - 524*d + 533*d. What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -11*h**6\/3 + 12*h**2 - 6. Find the second derivative of b(g) wrt g.\nAnswer: -440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 241792 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/2496 and 77\/204.\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -122.10823216399 + 0.10822882399. Let q = v - -122. Round q to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174612 is divided by 3794.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 + b - 2. Let v be (-1)\/((3 + 1)\/(-4)). Let x be h(v). What is the tens digit of -1 + x - (-1 - 34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6d (base 16) to base 6\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.16 - -0.18. Suppose p = -3*q + 19, 2*q - p + 24 = 6*q. Let d be (-3)\/(-4) + (-2)\/8. Which is the closest to d?  (a) q  (b) 4\/5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-350)\/300*310\/812 and 7\/6.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 3 - -1 - (0 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-23 - 0) - (-13387)\/1217.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3, 0.5, 13\/55, 23, 0.2 in ascending order.\nAnswer: -3, -0.1, 0.2, 13\/55, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/30)\/((140\/30*3)\/(-4)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**5 + 2*v**5 - v**5)*(-8 - 11 + 1) + (v**4 - 2*v**4 - v**4)*(2 - 2*v - 2).\nAnswer: -50*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-180)\/(-6)*(((-5)\/(-56))\/(-5))\/((-2550)\/(-6800)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of h**4\/6 - h. Let x(f) = -4 + 6 - 33*f - 35*f + 57*f. Give x(q(w)).\nAnswer: -22*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, b: 7}. What is prob of sequence bvbv?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 9.8 and 193352681?\nAnswer: 193352671.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -44010, -43987, -43962, -43935, -43906, -43875, -43842?\n\"Answer: w**2 + 20*w - 44031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, 0.5, 92388, -2 in ascending order.\nAnswer: -2, -1\/8, 0.5, 92388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 36.9?\nAnswer: -38.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + -0.1. Let j be 4\/12 + 0 + 1. Let x be 10\/1*(-4)\/(-10). Sort x, i, j.\nAnswer: i, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + f**5\/10 + 4*f**3\/3 + 3*f**2. Let a = -88 - -94. What is s(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -9462.\nAnswer: -1\/9462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/4  (b) 3\/2  (c) 5\/6  (d) -11  (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 8  (b) 0.2  (c) 4  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + 1*sqrt(110) + sqrt(110)))*2 - (-1*sqrt(110)*-1 + sqrt(110)))\/((sqrt(10) + (sqrt(10) - -4*sqrt(490)))*-4)*2 + -2.\nAnswer: -2 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {a: 1, s: 1, z: 1, x: 1, d: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 5463\nAnswer: 5462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23977?\nAnswer: 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of 17 - 5\/4*b**4 + 0*b - b**5 + 0*b**2 + 0*b**3. Let u(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 10 - 10 = 0. Sort u, 0, 4 in increasing order.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3789156957.\nAnswer: 3, 1263052319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -13*u**4\/12 + 2*u + 16. Let i(a) = 6*a + 4. Let j(n) = -n - 1. Let h(x) = i(x) + 4*j(x). Calculate c(h(t)).\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 13, c: 6}. Give prob of sequence cc.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -7  (c) -20658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r - 3*r + 5*r)*(0*r + 3*r - 5*r) - 3*r**2 - 2*r**2 + 3*r**2 - 4152 + 4152 + 2581*r**2 + 2*r**2 - 2 + 2 to the form f + l*r**2 + b*r and give l.\nAnswer: 2577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8\/(-7))\/(6\/(-294)*14). Solve k*a - 113 = -93 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103311350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -201052, -804264, -1809616, -3217108, -5026740, -7238512, -9852424?\nAnswer: -12868476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1544398589 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 75, 103, 127, 147, 163?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 6:14 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 6\/13, 0.2, 0.05?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-9)*(-48)\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10 - -1)*(-3)\/9. Let h = -177.2 - -177.3. Which is the closest to h?  (a) 0.3  (b) i  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + w - 12. Suppose -34*n + 15 = -19*n. What is the tens digit of (-3)\/n - 474\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259699072?\nAnswer: 2, 17, 23, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 64604934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8111 in 1, -9\/5, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 4. Suppose -2*x + 140 = 2*x - m*q, 4*x = 5*q + 140. What is the remainder when 69 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 846152  (b) -2  (c) 2\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7329280 a multiple of 1636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 375 - 530. Let v be 186\/n*(-30)\/4. Solve -v = -4*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/7 + (1 - 170\/35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 5, -47, -151, -325?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0599 + 0.5599. Let a = -2929.49975 - -2930. Let o = l - a. What is o rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 13) to base 14\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/4*84\/(-315)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 21*v**3 - 9*v**2 + 9*v - 5. Suppose q + q = -4. Let i(h) = -5*h**3 + 2*h**2 - 2*h + 1. Let r(g) = q*d(g) - 9*i(g). What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/15 < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2838030 divided by 15.\nAnswer: 189202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 28*y. Let r(c) = 380*c**2 - 1066. Calculate l(r(b)).\nAnswer: 10640*b**2 - 29848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3700289318 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 11*o**2 - 14*o - 2. What is the units digit of l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3115*s**4 + 3113*s**4 - 193*s - 80*s + 2*s**4 - 5*s**4 + s**4 + (4*s - s - 2*s)*(0*s - 2*s**3 + 0*s).\nAnswer: -6*s**4 - 273*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 11 + 10. What is the common denominator of -39\/11 and (-3586)\/520 + l + (-4)\/26?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 - -36. Let v be ((-396)\/(-162))\/(2\/18). Calculate the highest common divisor of v and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2 + 1. Let p(q) be the second derivative of -1\/12*q**4 - 2*q + 0 + 1\/2*q**2 + 1\/6*q**3 + 1\/20*q**5. Let k = 6 + -4. Determine k*p(x) - d(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(2448)*1*4 + (1*(sqrt(2448) + sqrt(2448) + sqrt(2448) + 1 + sqrt(2448)))**2 + -1 + 2*sqrt(2448) + 1.\nAnswer: 168*sqrt(17) + 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 4 + (-4 + (sqrt(320) - (sqrt(320) - 2*sqrt(320))))*6)*-2*2*3)**2.\nAnswer: -608256*sqrt(5) + 6705216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1377 - 1377 + 16*p)*(-2*p - 4*p + 3*p) - 3*p + 3*p + p**2 - 21*p + 21*p + 19*p**2 as t*p + z + q*p**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, i: 2, f: 14}. What is prob of picking 1 n and 3 f?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.30947 + 0.3542. What is a rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10 - 876*28\/21. Is v bigger than -1180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -5*t**2 - 8*t. Let g = 1 + 7. Let f(w) = -2*w**2 - 3*w. Let i be 3 - 9*(-8)\/(-12). What is g*f(s) + i*n(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1663096.2ns in minutes?\nAnswer: 0.00002771827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -51, 0.2, -8865, -0.3?\nAnswer: -8865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -2*m + 18. Calculate the least common multiple of m and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (0 - 0)) + (-31 - (-13 - 24)) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1274 divided by 1.\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -760, -2944.\nAnswer: -2944, -760, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -9*i + 18*i - 10*i - 1 + 2. Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + 7*(-3 - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 0 - d**2 - 1\/15*d**6 - 2*d - d**4 + 2\/5*d**5 + 4\/3*d**3. Factor y(p).\nAnswer: -2*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114324?\nAnswer: 2, 3, 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 10*g**2 - 3*g - 3. Determine c(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-10)\/(-8))\/(4\/(-16)). Let f = -6 - n. What are the prime factors of (6\/(-9))\/(f\/36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3729729 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 72 = 4*v, 2*y - 5 = 5. Let k = -9 - v. Solve -4*s = -k*w + 40, 4*s + 5*w + 1 = 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 - -71. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -p + 4, p - 5*p = 20. Let k(h) = 5*h**2 + 5*h + 1. Let s(u) = 14*u**2 + 15*u + 3. Calculate i*s(m) + 8*k(m).\nAnswer: -2*m**2 - 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1345 + 0.1345. Which is smaller: -1739 or k?\nAnswer: -1739","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 2\/25, -0.12, -418?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 4*n**2 + n - 4. Suppose -11*i + 159 = 27. Suppose 0 = 1086*o - 1082*o - i. Determine m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1887, -3779, -5669, -7557, -9443?\nAnswer: -11327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-130 - 74 - 131)*(-4*i**2 + 5*i**2 + i**2) - 3*i**2 + 5*i**2 - i**2)*(0*i**3 + 3*i**3 - i**3).\nAnswer: -1338*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -45*o**2 - 57717*o + 80890. What is l(-1284)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 302142041 + -4?\nAnswer: 302142033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**3 - 22*z**2 - 22*z - 22. Let k be d(12). Let a(l) = -20*l - 2. Calculate a(k).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4223.\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40192?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 31*j**2 - 264*j - 91. Give o(38).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -5*j**3 - 2*j**2 - 5*j - 2. Let f(i) = -14*i**3 - 6*i**2 - 14*i - 5. Let x(n) = 4*f(n) - 11*p(n). Does 3 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 0)*5 + sqrt(11) - -2*(sqrt(11) + -2)) + -1.\nAnswer: -5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5392367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18195.8085 + 18191. Let j = 4.8 + o. What is j rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 8 - (5 + 0)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/((u*u**(-3\/2))\/u))*u*(u\/u**(-34))\/u assuming u is positive.\nAnswer: u**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -21.52?\nAnswer: -21.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of x**3\/6 - 7*x**2\/2 + 13*x\/2 + 544. Factor c(d).\nAnswer: (d - 13)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -31. What is the remainder when 127 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -102100?\nAnswer: 102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3136802*r**2 + 3137142*r**2 - 6274183*r**2.\nAnswer: -239*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 3*d - 38, 62 = 2*k - 2*d - 22. Let v be k\/(-22)*2\/(-2). Solve -v*l - 2 = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 - 112133433?\nAnswer: -112133422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -22*q**3 - 183*q**2 - 294*q - 703. Let l(a) = -5*a**3 - 46*a**2 - 71*a - 176. Let t(p) = 9*l(p) - 2*z(p). Determine t(-47).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 2, l: 1, f: 2, c: 2, q: 1, u: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - 3*l - 90, -4*a - l - 17 = -117 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 180 - 187. Let p(i) = 5*i**2 + 4*i - 5. Let l be 50\/18 + (-4)\/(-18). Let d(c) = 11*c**2 + 9*c - 11. Determine l*d(f) + s*p(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*u = -103*u - 126 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12a1a3 (base 11) to base 2\nAnswer: -110001110001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**5\/20 - t**4\/12 - t**3\/6 + 3*t**2\/2 + 2*t. Let h be x(0). Let u = h + 7. Solve -3*c + 1 = 2*r + u, 3*r = 5*c + 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 11 + 8 + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23383 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29.2 - 193.2. Let o = t + 168. What is the nearest to -1 in -2, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3010.812 - -0.1.\nAnswer: 3010.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 22 - 82. Let i be ((-168)\/(-10))\/(3\/t). Suppose 24 = 3*y - i. Calculate the highest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221478090.\nAnswer: 2, 3, 5, 1229, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - 3*m. Calculate the remainder when 71 is divided by d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 6*f**2 - f. What are the prime factors of i(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12415 is divided by 185?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of 7*t**6\/480 + 19*t**5\/240 + t**4\/12 - t**3\/6 + t**2. Suppose v(b) = 0. Calculate b.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 143?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 2536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-10\/3))\/b)\/b**(2\/9))\/(b**(-1\/5)*b*b)**(-7\/6) assuming b is positive.\nAnswer: b**(-131\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4782 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*((-81)\/(-90))\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 87*v - 273. Let b(o) = 20*o**2 - 3. Let m(z) = -799*z**2 + 119. Determine v*m(y) - 119*b(y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 97592720 rounded to the nearest 100000?\nAnswer: 97600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 10:43 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4881\/80 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 5*k - 4. Let i(p) = p. Let z(v) = 6*i(v) - r(v). Let g = 2 - 2. Let a be z(g). Solve -w - u = 1, -a*u - u = -5*w - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h**2 - h**3 + 2*h**2)*(-21*h - 7*h + 6*h) to a*h + z + s*h**3 + l*h**2 + m*h**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 20*l**2 + 1. Let o be q(1). Suppose -2*s + 5*k = -134, 2*k = s - o - 45. What is the units digit of (s\/4)\/(11\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 6*k**2 - 7*k - 5. Let y(p) = -130*p - 1047. Let o be y(-8). Give d(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - m + 30, 8*h = 3*h + 4*m + 5. What is the closest to 7\/3 in 2, h, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwnmmwnnwwwnwdnmwwn. Give prob of sequence wndw.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012027 to 5 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1932 = 2*q - 6*q - 4*x, 5*q + 3*x = -2407. Let o = q + 754. What is the highest common factor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6140.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 1:34 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 9:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2*s + 3*f + 3, 4*f + 16 = -s. Let a be (-4 + -2)\/3 + s. Solve -3*w = -9, 1 = 2*j - a*w + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence svss when four letters picked without replacement from vvsssss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/1600, -1\/3, -0.1, -2\/19.\nAnswer: -1\/3, -2\/19, -0.1, -3\/1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**3 + z**3 - z**4 + (0*z + 3*z - 5*z)*(-2*z + 2*z + z**3) + z**4 + 5*z**4 - 5*z**4 + 2*z**4 - 4*z**4 - z**4 + 59*z**4 - 23263*z**2 + 23263*z**2.\nAnswer: 54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -15*b**3 - 4*b**2 - 5*b - 1. Let g(y) = 45*y**3 + 11*y**2 + 14*y + 3. Let z(w) = 3*g(w) + 8*t(w). Suppose -49 = 70*k + 21. Calculate z(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -0.09  (b) -0.1  (c) -0.2  (d) -5  (e) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 4869 and 4870 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1333133210 (base 4) to base 3\nAnswer: 222112100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28589516 * -14.\nAnswer: -400253224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6\/13, 39, 4, -4, -1859?\nAnswer: -1859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and (119\/(-34) + 2\/4)*(6 - 408).\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1704 = 5*j. Let p = j - -797. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0106047 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.65 * 0.5.\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 10:56 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -136452*a**3*w**3 - 3*a**3*w**2 - a**2*w**3 - 94168*a*w**3 wrt a.\nAnswer: -818712*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -182 - -362. What is the remainder when r is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of f**2\/2 - f - 3. Let j be (-6)\/(-9)*(-5 - 1). Calculate l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -668 - -672. Which is the second smallest value?  (a) 2  (b) -0.3  (c) j  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 5*m - 7 + 27, -4*c - 2*m = -20. Suppose -u + 4*u = -c*u. Let r = 0.03 + 0.97. What is the nearest to u in 2\/5, -5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**6\/27 - 152*v**5\/45 + 155*v**4\/18 - 52*v**3\/9 + 2577. Factor z(j).\nAnswer: -2*j**2*(j - 1)**2*(j + 78)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22083215 divided by 451.\nAnswer: 48965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from {q: 2, c: 2, i: 1, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221000000 (base 3) in base 13?\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -202 - -66?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 75 and 2955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 6*y - 12. Calculate the remainder when 1\/y - 292\/(-6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 237462177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 740257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(81)*3 - sqrt(9)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -1) + 25\/5. Suppose 0 = 2*x + 60 - 54. Which is the third biggest value?  (a) x  (b) w  (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i**2*n - 1891*i**2 + 311*i*n + 3*i + n wrt i?\nAnswer: -6*n - 3782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 11*o - 13. Let t be d(8). Suppose 0 = 5*k + t - 85. Suppose -l = -2*b - 48, 4*l - 60 = 3*l - k*b. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.546 + 0.454. Let o = -4 - -3. What is the biggest value in -3, b, 1\/9, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*z + 49*z + 46*z)*(12 - 17 + 9) to the form q + r*z and give r.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 2*m - 27, -t = 4*m - 4*t - 57. Suppose z - 4*d - 23 = -1, 0 = 3*d + m. What are the prime factors of 4 + z + -5 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -472*n + 474*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1947*l + 95117 + 49933 + 333 = -160*l for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 124121, 124126, 124133, 124142, 124153, 124166?\n\"Answer: p**2 + 2*p + 124118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 7:27 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -87 - 10*f**2 - 2*f**3 - 16*f + 0*f**3 + 79 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12.898 and 12766487?\nAnswer: 12766474.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 6 = -2*g, 2*g + 9 = -g + p. Let l be (-2 - 15\/(-9))*(-3 - g). Suppose l = 9*m - 4*m - 10. Solve -4*f = -f + 3*i - 21, 5*f = m*i + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4a2 (base 12) to base 2.\nAnswer: -1010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a - 63 + 13 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 192, 331, 494, 693, 940, 1247?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zfwzeij. What is prob of sequence iw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -0*h + h, x = 3*h. Find the common denominator of (2 - -1)*(-7)\/x and (-2 + -1)\/((-504)\/(-270)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -59*f**3 - 430*f**2 - 135*f - 82. Determine u(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 1, l: 4, z: 3, b: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6290775653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3011.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**2 - 12*x + 2. Let i be n(-6). Let h be (-60)\/(-250)*10\/i*10. Solve 7*a - h + 47 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -76.4 + 76.4. What is the closest to 0.16 in -10, 2\/17, 1, b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115235*-0.3.\nAnswer: -34570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 519571 or 519570?\nAnswer: 519571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1941441?\nAnswer: 3, 647147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 7) + 8 - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) 5  (b) -4\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1708 - 1697. Suppose 9*t - 11 = -x. Factor 42*y**2 - 6*y - 243\/2*y**5 - 189*y**4 + t - 39\/2*y**3.\nAnswer: -3*y*(y + 1)**2*(9*y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -252*o**2 - 1258*o**3 + 39*o**2 + 1256*o**3 + (0*o + 0*o - o)*(2*o**2 - 6*o**2 + 2*o**2) - 7*o**3 - 7*o + 7*o.\nAnswer: -7*o**3 - 213*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (280\/168)\/((2*-1)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6661272 divided by -3464.\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 8. What is the second derivative of -h + 2*h**5 - h**y + h**5 - h wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 3*n - t - 6918, 0 = -4*n - 2*t + 9214. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 - -43.839.\nAnswer: 43.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(-1 + (9 - 3)). Suppose 3*i = m + 5, -4*m + 2 + 2 = 0. Suppose 3*w = -i*j + 15, 5*j - 17 = -w + 1. Solve 3*d - w*g + k = -2*g, -3*d = 2*g + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 4*n**3 + 17*n + 6. Differentiate f(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0155514*0.4.\nAnswer: 0.00622056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 - -24.7. Which is the smallest value?  (a) l  (b) 1  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62713098 divided by -126.\nAnswer: 497723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {f: 4, h: 4, j: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1622*g**2 - g + 1422*g**2 - 5*g + 5 wrt g.\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -476*j**6 - 58*j**4*k**2 + 8*j**2*k**2 + 3*j**2*k + 12*j*k**2 - 17*j wrt j.\nAnswer: -57120*j**3 - 1392*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -6*p**2 + 116*p + 350. Determine t(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**3*i**2*k*q + 2*d**3*i**2*q**2 + 5575*d**3*i*k*q**3 - 348*d**3*i*k*q + 13*d*i**2*k*q**3 + d*i*k*q**2 + 47*i wrt q?\nAnswer: 33450*d**3*i*k + 78*d*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x - 9. Let w be j(-7). Suppose 4*y + w*y = 0. Suppose 0*k - 5*k = y. Let c(n) = n**3 + 3. Determine c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -1, 3\/1436, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**2 + 5*n**2 + n**2 + 2*n**4 - 2*n**3 - 1 + 0*n**2 to d*n + g*n**4 + i*n**3 + t*n**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z - 3*y - 29, 10*y - 41 = -5*z + 7*y for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, -1, 1\/7, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/6 - (-54)\/(-12) - (-4)\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 17*u**2 + 29*u**2 + 1 + 3.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -3*l**2 - 2*l + 13. Let q = -98 + 96. Let k(m) = m**3 - 6*m**2 - 3*m + 27. Let r(s) = q*k(s) + 5*a(s). What are the prime factors of r(-5)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -573, -538, -491, -426, -337, -218, -63?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o**3 + 21*o**2 - 7*o + 1. Let a(g) = -g**3 - g**2 - 6*g + 1. Determine a(j) - d(j).\nAnswer: 14*j**3 - 22*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 14*y + 14. Let t be k(12). List the prime factors of (-732)\/t*70\/21.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 517009060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 1, x: 6, p: 5, g: 4, f: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -17\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 0 + 0*n**3 + 0*n**2 - 13*n - 16\/315*n**6 - 1\/63*n**4 + 1\/63*n**7 + 11\/210*n**5. Factor i(a).\nAnswer: 2*a**2*(a - 1)**2*(7*a - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5550490 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10 + -5 + -6)*-4. Suppose u*x - 33 = 3. What is the remainder when 30 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6511)\/(-2550) - (-25)\/(-10))*6\/8?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1547 divided by 119.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.29463354 to 3 dps.\nAnswer: -19.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 14*x + 18. Let v be s(13). Suppose v*j = -3*r + r + 144, 0 = -j - 4*r + 18. What is the greatest common divisor of 60 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 653 = 5*h - 1, 0 = -h + 5*m - 140. Let o be (-540)\/h + (-4)\/26. Solve 6 = o*b - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - o + 2*o + (1 - 5 + 3)*(0*o + 4*o - 5*o))*(2 - 1 - 3)*(-2*o - 2*o - o).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/21869 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.291 to 3 dps.\nAnswer: 0.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 171378341 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-272)\/5 + 73292\/730 + -100.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**5*y + 2770*b**2*y**2 - 6317*b*y**2 + 2*y**2 wrt b.\nAnswer: 60*b**3*y + 5540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u - 46. Suppose -4*q + 5*h + 72 = -2*q, -q = h - 50. Let r = -24 + q. What is f(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9767352 divided by 4883676\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 g, and 1 u when four letters picked without replacement from {g: 5, u: 1, v: 1, p: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 2*h - 7, 2*n + 4*h - 2*h = 4. Let b(k) = 6*k - 2*k - n*k - 6*k**2 - 4*k**2. What is b(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide (52\/3)\/((-4)\/2100*-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3335765\/18 + 185412. Let p = j + -183\/2. What is the second smallest value in -0.2, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 16, n: 4}. What is prob of picking 4 v?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**4 - 36*f**3 + 68*f**2 + 36*f - 72 = 0. What is f?\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*u + 13*u - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/280 - 16\/(-28)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18338037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 2.449.\nAnswer: 0.4898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16604110.\nAnswer: 2, 5, 1660411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 26*x + 170. Let z be f(-16). Let q = 246 + z. Factor q - 4\/17*a**3 + 4\/17*a + 2\/17*a**4 - 2\/17*a**2.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -511 - -506. Let a = 1297 - 1363. Sort y, a, -4, -2 in ascending order.\nAnswer: a, y, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-13 + 3 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -392.29 - -376.1. Let i = g + 14.7. What is i rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppg when four letters picked without replacement from epppegbgpppe.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 296*v + 2478 = 303*v. What are the prime factors of v?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12704 - -12707. Let s(l) be the first derivative of 23\/4*l**4 + 4 + 0*l**v + 0*l**2 - 4*l. Differentiate s(x) wrt x.\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -99*l + 214. Determine f(11).\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + u + 3*u + (1 - 1 - 2*u)*(5 - 4 + 1) - 4*u + 4*u - 2*u)*(0 - 1 + 0)*((-4 - 2 + 5)*(-5 - 1 + 4) - 5 + 3 - 13).\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 8, b: 2, t: 1, n: 2, r: 1, k: 1}. What is prob of picking 1 k, 1 r, 1 b, and 1 e?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 15 = 5*s, -s + 3*x + 576 = 559 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/4276 and -87\/184?\nAnswer: 196696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -11563057?\nAnswer: 11563052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-1826)\/(-2016) + 32 + 10731\/(-336)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -5 - 1\/3*g**3 + 3\/2*g**2 - g. Let x(d) = d. Give -f(m) + 2*x(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 2*g - 4*g. Let b be g\/(-30) - 6\/(-10). Solve 5*c - 4*r - 21 = 0, 3*c + 0*c = b*r + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + (2 - -6))*20\/(-15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 5:28 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 bigger than 2585.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -682 + 712. What is the least common multiple of v and 159?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*48\/(-640)*-10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q = 5*q - 5*p, 2*q = -4*p - 4. Suppose b + q = 3*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 123, 186, 249?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1148, 1975, 2802, 3629, 4456, 5283?\n\"Answer: 827*m + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4687068 by 619.\nAnswer: -7572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f**3 + 14*f**3 + 443*f**2 - 443*f**2.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -18, -5, -6\/5, 5, 1\/4, 277\/67?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -64\/15, 0.5, -2.71?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2146\/115609 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -0*x - 9. Suppose 4*p = -5*o + 1, 4*o = -15*p + 17*p - 20. Let u be 4*((-10)\/(-8))\/1. Put o, x, u in decreasing order.\nAnswer: u, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of y**4\/3 - y**3\/2 + y**2\/2 + 21*y. Calculate b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjjjyyy. Give prob of sequence yjjy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -621*j**6 + 68*j**2 + 1 wrt j?\nAnswer: -74520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20338115 is divided by 84.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 211158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 8*m + 188. Calculate the smallest common multiple of 36 and n(-21).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -r - 2, 0 = 5*j - 4*r + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*h = 27, -4*w + 100 = 4*h - 0*h. Suppose 6*u - 4*u - 4*m - w = 0, 0 = m - 5. What is the lowest common multiple of 18 and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 2*z - 97, -77 = 4*k + 15*z - 16*z for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -38*r**2 - 611*r - 36. Let i be p(-16). Let v(k) = k**3 - 11*k**2 - 7*k - 12. What is v(i)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h + l + 13 = -h, -5*l = 4*h - 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 545138257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12416776153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -31, 0.62, 0.5 in decreasing order.\nAnswer: 0.62, 0.5, 2\/13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -3, 0.01 in decreasing order.\nAnswer: 0.01, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -de (base 15) in base 8?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20485.6 - 163132.4. Let a = z + 183581.9929. Let o = -36 - a. What is o rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 9:46 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + v - 2)*(-101*v**2 - 45*v**2 + 30*v**2) + (-3*v**2 + v**2 + 3*v**2)*(-6*v + 4*v + v))*(-2 - 2 + 3).\nAnswer: 117*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**20*x*x)**38\/(((x*x**(-30))\/x)\/x**23) assuming x is positive.\nAnswer: x**889","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, k: 2, c: 1}. What is prob of sequence kc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + w = -6. Let v(y) = w*y + 0*y - 3*y - 6 + 2. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -12, 268, 0.663?\nAnswer: 0.663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 4*t**2 - 1. Let s be d(-1). Suppose -s - 18 = -7*p. What is the nearest to 1 in -5, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*a = -259 - 357. Let x be ((-3)\/(-6))\/((-1)\/(-64)). Let j = x - a. Solve j*u + 8 = 8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/43, -4\/7, -5, 0.2, 5\/191, -2, 0.05?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -31*i - 58. Let d be r(-2). Let s(c) = -c**3 + 5*c**2 + c - 5. Let p be s(5). Let m be p*1*(-2)\/(-2). Solve -d*x + m*x - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 7*h - 6 = 4*h, 2*c = -3*h + 9. Suppose 0 = -c*q + 3. Let w = 6 + q. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 PM and 10:35 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1950503.\nAnswer: 107, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14869217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 - -76. Solve -m*i + 4*f = 2*i + 12, -3*i - f - 5 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -0.04, -652\/179 in increasing order.\nAnswer: -652\/179, -1, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -303?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = h - 10, 5*h - 4*j = 2*h + 35. Let w = 21 - h. What is the smallest common multiple of 10 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78, -1041, -3988, -10011, -20202, -35653?\nAnswer: -57456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4\/631  (b) -3\/2  (c) -18.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.8 + 9. Let v = 8 - x. Which is the nearest to 0.1?  (a) -0.3  (b) 3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, m: 1, e: 2, o: 1, v: 2}. What is prob of sequence ebmo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 11, i: 2}. Give prob of sequence iu.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from nbgjgbntjjbtbtnt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/3009 or 0?\nAnswer: 4\/3009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (129*f**2 + 103*f**2 - 31*f**2)*(0 + 0 + f**2)*(1 - 1 + 2)*(-1 + 1 - 2*f + 1).\nAnswer: -804*f**5 + 402*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11582.\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22.02 and -309.\nAnswer: -6804.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 84, 147, 224?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4998 and 0.1057086056.\nAnswer: -4997.8942913944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -3*f**4\/8 - 8133*f**3\/8 - 830217*f**2\/8 - 4762035*f\/8 - 1758375\/2 = 0.\nAnswer: -2605, -100, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**11*h)**(-13) assuming h is positive.\nAnswer: h**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -0*a - 6. Let h(v) = v**3 + 9*v**2 - v - 4. Let j = -12 + 3. Let o be h(j). Solve o*g + b = 5, -g - g + 2*b = -a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g**(-4)*g*g*g**(-22)*g*(g**1)**(-14) assuming g is positive.\nAnswer: g**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g + 1. Suppose 0 = -5*i + 33 + 22. Suppose -4*u - 7 - i = -3*x, 4*x = 4*u + 20. Let n(d) = 2*d - 2. Let s = 2 - 0. Determine s*r(t) + x*n(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -5*j - 2*r + 11, 2*j - 4 = -4*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -326178, -1304562, -2935152, -5217948, -8152950, -11740158, -15979572?\nAnswer: -20871192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 4, -336 in decreasing order.\nAnswer: 4, -1, -3, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39\/819)\/(81\/(-162)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 604 - 262. Let x = -32 - -9. Let t = x + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1820859302 to the power of 1\/2, to the nearest integer?\nAnswer: 42672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12626 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 315.4 * 0.5\nAnswer: 157.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 854*n + 202. Let q be u(-8). What is q rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -534442, -534463, -534484, -534505, -534526?\n\"Answer: -21*k - 534421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.12 + 4.32. Put b, 1.2, 5, -2\/11 in ascending order.\nAnswer: -2\/11, b, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-46 - -36)*3\/(-9 - -3). Let q be -1 + 3\/(-3) - 2. What is the smallest value in 2\/9, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1182098 * 5\nAnswer: -5910490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 85930 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - -6353\nAnswer: 6353.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 329545 = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**5\/60 - 5*q**4\/24 - q**3 + 13*q**2. Let d be m(6). Do 2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.26 and -170?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9136 divided by 86.\nAnswer: -4568\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 70528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5814838486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 268819824 take away 5?\nAnswer: 268819819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*t + 3*q - 2 = 0, 7*q = -2*t + 12*q + 74 - 188 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 907.8758 centuries?\nAnswer: 9078.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 714150.9ml?\nAnswer: 714.1509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 0*j + 0*j)*(25 - 25 - 14*j + (114 + 37 - 55)*(j - 3*j + j) + (-2 - 2 + 2)*(3 - 3 + 2*j)).\nAnswer: -114*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 203522 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.8 + 1.2. Let i = -2.239 - -1.216. Let s = i - -0.023. Which is the closest to -1?  (a) 1\/4  (b) s  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*s = 115*s + 660117. What are the prime factors of s?\nAnswer: 3, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2055\/14 + 513\/7. Let v = p + 75. Solve v*r + 1\/2*r**3 - 3\/2*r**2 - 1\/2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61392690 to the nearest one hundred thousand.\nAnswer: 61400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (3 - -7) + -20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 347157247 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 + -30. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(9\/(-2) + 4)*-2. List the prime factors of (229050\/(-27))\/(-10) + r\/3.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 - 21 = 11*u - 46*u. Solve 4*r + 18 = -n, -3*n - n + 4 = -u*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) 2\/975  (b) -0.2  (c) -2  (d) 23\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 97*q**2 - 2576*q - 10580.\nAnswer: -(q + 5)*(q + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -1490 = 3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -113713890 divided by 3668190?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 364 - 364. Sort l, 5, 14.\nAnswer: l, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 677 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 688057 is divided by 2112.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t**4 - 26682*t**3 - 59354076*t**2 - 118388088*t + 474405984 = 0 for t.\nAnswer: -4446, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 141\/94*4\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 3. Let k = -189 + 189. Find the third derivative of 4*s**l + 9 - s**3 + k*s**3 - 9 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32*0.9\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1381769ug in tonnes?\nAnswer: 0.0000000000001381769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2 + 9351*z - 9351*z + 4*z**2. Let q(y) = -8*y**2 + 5. Give 6*q(t) + 15*s(t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.413*-0.6\nAnswer: -0.2478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f\/(f*f*f**(-7)*f))))\/f**7*f**(-8)*f**(1\/3)*(f*f*f**(1\/2)*f**(-1\/3)\/f*f)\/((f**(-2\/3)\/f)\/(f**(-3)\/f)) assuming f is positive.\nAnswer: f**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q**2 + 108 - 57 - 51. Let f(j) = -17*j + 3. Let r(v) = 34*v - 5. Let y(h) = -5*f(h) - 3*r(h). What is y(t(d))?\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1058\/99 + 120\/11. Which is greater: -2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 277311768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -607582*x**2 - 606395*x**2 + 1225846*x**2 + 3080 wrt x?\nAnswer: 23738*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8584?  (a) -3  (b) -0.5  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 5*c**2 - 7*c + 3. Let x = 3 - -2. Suppose 2*z = x*h + 18, -6*z + 22 = -z - h. What is the remainder when u(-6) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-12)\/(-9))\/(16\/(-9) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 2:49 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*j = 28*j - 1110. Let d = 228 - j. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853912517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30655.\nAnswer: 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -175*n**2 + 6*n - 66. Let t(k) = 524*k**2 - 17*k + 198. Let p(j) = -11*r(j) - 4*t(j). What is the derivative of p(x) wrt x?\nAnswer: -342*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 62768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.18018km in micrometers?\nAnswer: 9180180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-264)\/(-300) + 9.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnloonnna. What is prob of sequence nan?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118996 (base 16) to base 3.\nAnswer: 2011101120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0284957258 to 5 decimal places.\nAnswer: -0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51.58 + 52. Let h = i - 0.4016. Round h to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 329999*b**2\/2 + 10*b + 2. Let w be p(10). What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6270 + -6267. Let d(k) = -43*k**3 + 3*k**2 - 3. Let c(x) = -43*x**3 + 4*x**2 - 4. Calculate y*c(u) - 4*d(u).\nAnswer: 43*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1 = -5*d, 6*f + 4*d = 3*f + 16. Calculate the lowest common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -78 + -62?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*h - 347 = 0, 7*h = 4*v + 2*h - 1451. Let m = 595 - v. Suppose -7*z + 11*z - m = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.64142962*-2\nAnswer: 3.28285924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.3 + -7. Let h = -5814.93 + 5815. What is the nearest to h in d, 4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232 = 2563*z - 2505*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 9:10 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2045 is divided by 382.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -1940, 2 in increasing order.\nAnswer: -1940, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21838 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h*p**3 - 8*h*p**2 - 2*h*p + 7*h - 83481231*p**3 + 35075 wrt p.\nAnswer: 6*h - 500887386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 - 6*x + 4. Let j be v(5). Let a be (-3)\/2*j*6\/3. Find the third derivative of -24*g**a - 397 - 8*g**2 + 397 wrt g.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -b + 8. Find the third derivative of p**3 - 2*p - p**2 + b*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 60\/25 - (-4)\/(-10). Let r(b) be the first derivative of -b**2\/2 + 9. Let s be r(3). Sort t, 3, s in decreasing order.\nAnswer: 3, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2297 - 2296.5. What is the third biggest value in -0.06, -4, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + 4*r = 7*x + 72, 8 = 4*r. What is the remainder when 2458 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*d**2 - 537*d + 398*d + 51*d**2 to b*d**2 + x + i*d and give i.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/(-66))\/(3\/((-36)\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -9794?\nAnswer: -9798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10423 (base 10) to base 3.\nAnswer: -112022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8707, 8670, 8621, 8554, 8463, 8342?\nAnswer: 8185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 8675530 to the nearest ten thousand.\nAnswer: 8680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 4*l + 0 + 5 + 4 - 2. Let z = 5 + -11. What is the remainder when y(z) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.1  (b) -9  (c) 0.4  (d) -1  (e) 54\/13  (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473054 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 8*d**2 - 7*d + 12. Let w be s(-9). Let y be (-32)\/w*(-18)\/(-4). What is the first derivative of 1 + g**3 + 24*g**2 - y*g**2 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2881933\/30 bigger than -96064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 2, e: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12515.\nAnswer: 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 28.8421 times -4\nAnswer: -115.3684","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 8*g**2 + 2*g - 10. Suppose 5*o - 2*o - 5*h = 49, h = 5*o - 45. Calculate the common denominator of 67\/18 and y(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/4 + (-9)\/6. Let c be (-9)\/(-6)*(r + 11). Let x = c - 5. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21367280 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0207 times 46?\nAnswer: 0.9522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 832, -1, 290 in ascending order.\nAnswer: -1, 290, 832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -394?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 9, o: 3, n: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 45089, 45086, 45083, 45080, 45077?\n\"Answer: -3*j + 45092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 87. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5145 = f, 0 = 6*j - 9*j - f + 3850. List the prime factors of j.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -317.13302 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 20*c**2 - 20*c - 16. Let q be 48\/40*(-5)\/(-2). Suppose 0 = -p - q - 16. Let y be g(p). Sort 4\/3, y, -7.\nAnswer: -7, 4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 + 4)\/2*-2*1. Let s(f) = 3*f**2 + 2*f - 2. Let n be s(y). Solve -n*m + 14 - 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2 - -0.4932.\nAnswer: -0.7068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, e: 5, q: 2}. What is prob of sequence eea?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, x: 3, j: 6, k: 2, a: 4}. Give prob of picking 1 g and 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 18979*p + 15626 wrt p?\nAnswer: 18979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (12\/16)\/(81\/(-24))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 + -2208323583901?\nAnswer: -2208323583901.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -13041?\nAnswer: 13045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 - 7 = 4*q, 2*q = -5*r + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 2 - -1) + (1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 125.79 - 125. Let q = 1.09 - n. Which is the third biggest value?  (a) 1  (b) q  (c) 5\/4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*3*(-2)\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75024 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 114, 258, 404, 552?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1346 - -77.6654. Let x = -179 + 257. Let i = x - l. Which is the closest to 1?  (a) i  (b) 0.1  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 0, -5*d + 37 = 2*g - 43. Solve d - 4 = 2*u - q, -2*q - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjsjdvjsjjsdssdddsj. Give prob of sequence jdsj.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -445*s - 7*s**2 + 445*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -1101101?\nAnswer: 1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1470132941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 3*h - 3. Let o be b(-4). What is the units digit of -1 + o\/1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 242, 192, 110, -4, -150, -328, -538?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 60*k**2 - 6855*k - 631. Calculate y(-58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 492*h**2 + 88*h - 361. What is the thousands digit of v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -9. Suppose 0 = w*l - 48 - 320. Suppose 0 = -5*u + l + 33. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.149 - -0.149. Is k at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 799*c - 2. Let l(k) = k**2 - 5*k + 4. Let y be l(3). Let r be x(y). What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*c - 3*w = -59, -5*w - 85 = -4*c. Suppose 27 + c = 2*m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvevvvvvveeeev. Give prob of picking 3 v and 1 e.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3  (b) -0.2  (c) -0.01  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, l: 2, o: 7, n: 1, k: 1, d: 4}. Give prob of picking 2 o and 1 j.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**4 - 68911*r**3 + 1723334*r**2 - 4549776*r = 0.\nAnswer: -68936, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12203121333 (base 4) in base 6?\nAnswer: 100453103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16169731 is divided by 4042432.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1069.77213 milliseconds in weeks?\nAnswer: 0.000001768803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1400, -6773, -21350, -49733, -96524, -166325?\nAnswer: -263738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 5*a + 76 = 42 + 59, -3*t + 2*a - 13 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 14*c + 14. Suppose -2*w = 4*k + 52 + 6, -3*w - 73 = 5*k. Does 7 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154214, 308423, 462632, 616841, 771050, 925259?\nAnswer: 1079468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddddjjjddddjddddj?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 15. Sort -8, o, -3 in descending order.\nAnswer: -3, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 + 5 + -10 + 9 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2626*z**2 - 555.\nAnswer: 5252*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -687142 divided by -67.\nAnswer: 687142\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 + -416?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 62340 times 3?\nAnswer: 187020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 9:41 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 201 and 1136.\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 divided by 2584.\nAnswer: 45\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1862)*5 + sqrt(1862) - sqrt(1862)) + sqrt(38))\/sqrt(2) + -2 + -3 + 1.\nAnswer: -4 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 11, y: 9}. What is prob of picking 4 v?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*o = 12*o. Suppose -3*t - c - 12 = 0, -7 - 8 = 5*c. Put -2, o, t in increasing order.\nAnswer: t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 58*z + 20. Determine c(58).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12893561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4f + 4?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1189240014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4834*m. Let z(p) = 5*p**2 + 135. Determine r(z(x)).\nAnswer: 24170*x**2 + 652590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -37*s - 38. Let l(t) = 8*t + 42. Let k be l(-6). What are the prime factors of h(k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-3)*(6 + -6). Suppose -5*p + 420 + 365 = y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.58 + 0.5. Let o = s - -165.08. Let i = 165.107 - o. What is i rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36.72 + -36.6. Let x = -3.03 + 0.03. Is y bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -2543042?\nAnswer: -2543042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257546 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + 2. Let q = 3 + -3. Suppose i - 5*r - 69 = -21, 2*i + 3*r - 57 = q. Calculate the remainder when i is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 5) + 5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from wpihh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -276 + 358. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3545880.\nAnswer: 2, 3, 5, 13, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-184)\/(-828) + 184\/630)\/((-4)\/(-30)). Let 12\/7 + 31\/7*z**3 - 40\/7*z + 9\/7*z**5 + w*z**2 - 39\/7*z**4 = 0. What is z?\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(12\/(-8) - -2). What is the units digit of ((-5)\/20*6)\/(p\/64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, -70, 3\/8, 3.\nAnswer: -70, 0, 0.2, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (28 + -24)*10\/8. Suppose k*w = -10, -4*c - 5*w = -5*c + 15. Solve -g + 6 = 3*s, -4*s + 2*g - c = -13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -354 and -67.\nAnswer: 23718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-12) + 13\/4. Let u(l) = -4*l**2 + 2*l**m - l + 8*l**2 + 3*l. Let k be 2*(-1)\/(2\/2). Determine u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u + 3*u - 4285300 + 4285300 + 5*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (1 + -1) - (-8 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of 7*g**4\/12 + 2*g**3 + 5*g**2 - g. Is t(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 5*m - 3*d - 73, 12*m = -5*d + 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16970 less than 75749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7c7b162 + 8?\nAnswer: -7c7b15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -265.87 - -4.87. Let r = 261.0000415 + f. Round r to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 1588, 4, -7 in descending order.\nAnswer: 1588, 31, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + -1*(1 - -1). Suppose -13 = -4*d - 1. Let h = f + d. Is 1\/3 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 less than -16903?\nAnswer: -16902.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*u - 81*u - 13 = -3*j, -3*u + 10 = 2*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3373 is divided by 431?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.3284 - -3?\nAnswer: -1.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 5*o**2 - 14*o + 4. Let i be j(4). Let d = 45 + i. Calculate the remainder when (-2 - (-128)\/(-6))*6\/(-5) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 122 + -117.05. Let w = -0.5 - -0.45. Let g = n - w. Which is the smallest value?  (a) 4  (b) 0.3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7514 * -0.8.\nAnswer: -0.60112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m - 1. Let y(w) be the first derivative of 15*w**2\/2 - 3*w + 10. Let x be y(1). Let o(g) = -g**2 + 9*g + 33. Let l be o(x). What is k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/12*8)\/(-12)*(-22)\/11.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4892 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5318 and 18?\nAnswer: 47862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/1 - 2)\/1. Let v be (t\/(-4))\/(12\/(-16)). Suppose v*w + 4*h + 12 = 0, -3*w - 6 = -3*h + 3. Which is the smallest value?  (a) 4  (b) w  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -5, -3, -9, -210 in increasing order.\nAnswer: -210, -33, -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47 + 71. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -365185 less than 2032.909?\nAnswer: 367217.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.5 + 1.4. Let v = 41 + -368\/9. Which is the nearest to -0.1?  (a) r  (b) 0.3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, t: 11, k: 2}. Give prob of sequence kb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*(-98)\/(-1008) - (-2)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -204, -238, -292, -366, -460, -574, -708?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.027 - 770827196?\nAnswer: -770827196.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/5 + 63\/(-45). Which is smaller: y or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -54 + 4*x**2 - 57 + 6*x**3 - 2*x + 117. Let n(q) = q**3 + q**2 - q + 1. Determine -4*n(f) + w(f).\nAnswer: 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 5. Let q = o - -31. Let d = 10 + 25. What is the remainder when d is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16722 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100000 (base 2) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k - k - 9*k + (-2 + 2 + 3*k)*(3 + 2 - 4) - 2*k - 15 + 15.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27383809 is divided by 2711.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from xqf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -3, 2\/5, 16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 - 69*a + 160. What is q(68)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, -298, 0 in descending order.\nAnswer: 1, 0, -7, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + (-9 - -4))*(-12)\/27. Solve 12 = 4*l - g*o, -4*l = 28*o - 26*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 96*o - 169853 = 89*o, 3*d - 101925 = -2*o. Is d a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 7*y**2 - 36*y - 10. Determine b(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 242605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 7*z**2 + 9*z + 9. Let h be f(-8). List the prime factors of 27\/((5 + -4)*h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -566 + 568. Let l be (-30)\/20*2\/(-3)*s. Let -38\/3*h**3 - 3*h**4 - 35\/3*h**2 - l*h + 0 = 0. Calculate h.\nAnswer: -3, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0.13  (c) 1\/6  (d) -12  (e) 48\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((13\/91)\/(21\/(-21)))\/((-1)\/161)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -232*r**2 - 1 + 40*r**2 + 26*r**2 + 132*r**2.\nAnswer: -34*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -132 - -116. What is the remainder when (-774)\/(-42) + b\/(-28) is divided by (-53)\/(-6) - -1*5\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 102 = 4*l, 3*u - 4*l + 8*l - 58 = 0. What is the least common multiple of u and 490?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/3*1*48*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, 5, -0.4, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, -0.4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -9. What is the second derivative of 0*j + 2*j + 4*j**3 - 14*j**t wrt j?\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*l**4 - 3*l + 3*l + (0 - l + 0)*(l**3 - l**3 + 2*l**3) - 3*l**2 + l**4 + 6*l**2 - l**2 in the form i*l**3 + f*l + s*l**2 + a*l**4 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-35))\/(200\/(-200)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157612197 to the nearest integer?\nAnswer: 12554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r - 4*r + 7*r)*(-8*r - 14*r - 186*r) in the form x + j*r + a*r**2 and give a.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 f, and 1 e when three letters picked without replacement from evvvvvhveffveehehvvf?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of q**3\/3 - 13*q**2\/2 + 16*q - 61. Calculate n(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85 and 1535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oypmopopppwy. What is prob of picking 2 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -3*n - 0*u, 0 = -3*n - 3*u. Let j be 16\/6 + -2 + n. Factor -2\/3 - j*m + 2\/3*m**2 + 2\/3*m**3.\nAnswer: 2*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 365*x - 1399 - 174*x - 35*x + 235*x + 353*x wrt x?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7884063 (base 9) to base 8\nAnswer: 20150604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -o + 14, 3*i = 5*o - 1084 + 2133 - 1071 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 5*b**2 + b - 2. Let x = 12 + -7. What is r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9118881721 + -9118880722.9998994. Let b = f - 998. Round b to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -3, 37, 31, -3\/11, 4.\nAnswer: -3, -3\/11, 0.2, 4, 31, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i**2 + 11 - 23 + 3 to the form n*i**2 + y*i + c and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l**2 + 3*l**2 - 5*l**2 - 5*l - 4*l**2 - 1097 + 1108 to t*l + u*l**2 + c and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -17. Suppose -7 = -w + k. Let x(y) = -11*y - 3. Let b(m) = 7*m + 2. Let l(s) = w*b(s) + 5*x(s). What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.032784 rounded to 1 decimal place?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 + 0.04. Let v = -203 - -203.52. Let f = v + u. Sort -1\/2, 2\/19, -1, f in ascending order.\nAnswer: -1, -1\/2, 2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (50 - 32) - (2 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4282 + 5669 - 332 = 543*c - 155 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 5*z - 6. Let s be (-4)\/14 - 30\/(-7). Suppose -16 = -2*a - s. Give d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/4)*p)**23*(p\/(p\/(p**(1\/12)*p)))\/p**(-4))**(2\/65) assuming p is positive.\nAnswer: p**(203\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 39*j - 94. What is n(-35)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - 0) + (-104 - -100). Solve 0 = 5*w - b*p + 11, 9*w - 2*p + 8 = 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7 or 1497\/17?\nAnswer: 1497\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b**2 - 10*b**4 + 15*b - 9*b + 0*b**4 + 9*b**4 in the form w + n*b**3 + k*b**4 + u*b + y*b**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10 - 4)\/(-2) + -2. Let f(n) = -n**3 + 8*n**2 - 6*n + 1. Calculate the remainder when f(t) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 22*k**2 - 274*k + 12. Let o be r(13). Solve -4 = -o*u + 167*u + 4*p, 3*u - 5 = 5*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5158 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*d**3 - 36*d**3 + 33*d**3 - 1 - 60*d**3.\nAnswer: -82*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5218 + 99152\/19. Which is the nearest to x?  (a) 0.1  (b) 0.4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.7524 in 4, -0.2, 0.1, -4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7b - -24ade?\nAnswer: 24a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*j - 2961 + 2565 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 14044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*u - 90*u + 980. Solve -3 = u*l - 11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 24 = 4*s - 0*s, 0 = -2*s - 4*a + 18. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1898*f**2*w - 46*f*w - 9*w wrt f?\nAnswer: -3796*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/2*24\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 6*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606968568.\nAnswer: 2, 3, 1669, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1477\/637 + -3 - 66\/143?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3 + 70*h**2 + 750*h + 2250.\nAnswer: 2*(h + 5)*(h + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + -36 - 15 - -51?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -75*(7\/84)\/(7\/(-28)). Solve -5*p = 5*k, 4*k + v - 9 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*u - 2*r, 4*r = 2*r. Suppose -48*f = -45*f - u. What is the closest to 0 in -4, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 5:54 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9856\/(-832) + (-2)\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + 3*m + 45, 95*m + 82*m - 191*m + 9 = -5 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 + 5*s**2 + 7*s + 11. Let x(w) = w**3 + 5*w**2 + 6*w + 10. Let n(a) = -2*q(a) + 3*x(a). Let m be n(6). Is ((-106)\/m*1)\/((-13)\/(-26)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t = -25 + 4 - 42. Sort 184, 1, 0, t in decreasing order.\nAnswer: 184, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y - 50. Let r be n(-9). Solve -4 = q, -r*o + 2*q = -2*q - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p**3 - 2*p**2 - 77*p - 3. Let i(d) = 7*d**3 - 5*d**2 - 146*d - 7. Determine -2*i(o) + 5*j(o).\nAnswer: 6*o**3 - 93*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5972931 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*n - 5*n - 222 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*m*t**6 + 450133*m*t**4 - m*t**2 + 55101*m*t - 42*t**2 - 2 wrt t?\nAnswer: 1200*m*t**3 + 10803192*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -3*t - 5*g - 2, -2*g = -3*t + 3. Which is smaller: -6\/787 or t?\nAnswer: -6\/787","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/432)\/(8\/32).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1017*i - 1021*i - 20 = -4*w, 3*w - 4*i = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -38 - -55. Let q(s) be the first derivative of s**3\/3 + s**2\/2 + 9*s - 5. What is the remainder when f is divided by q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-1\/2))**(3\/26)*h*h\/(h*h*h**(1\/9)\/h*h)*h*h**(2\/5))\/(h*h*h*h*h*h**5*h*h*h**(1\/5)\/h*h**(-2\/3)\/h**(-4\/5)) assuming h is positive.\nAnswer: h**(-23099\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 10:25 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 2048765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -4*l - v, -14 = 4*l - 5*v - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.09 + 5. Let a = c + 0.39. What is the smallest value in a, -4\/7, 4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -72 in 0.05, -0.6, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 2034481665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -68, -1, -3, -0.6, 0.4, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.8 - 0.4. What is the second smallest value in 5, t, 0.26?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 95\/4 + 8\/32. Suppose 0 = -5*j + 4*j + c. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 0 + 0)*(-3*z + 3*z - z**2)*(2 - z - 2).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 8*a - 7. Let k(q) = -2*q**3 + 4*q**2 + 2*q**2 - 2*q**2 - 3*q. Let n be k(2). What is the remainder when c(n) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49695 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1823, -5113, -8403, -11693, -14983?\nAnswer: -18273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of 0 + 1\/9*g**3 - 1\/30*g**5 - 1\/24*g**4 - 1\/180*g**6 - 3*g + 1\/3*g**2. Find u such that d(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2385)\/636)\/((-125)\/10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 + 2589 + 6*f**3 - 2589 + 3*f**2 - f**3.\nAnswer: 5*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 934*x - 929*x + 4*g - 20 = 0, -8 = -2*x + 4*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v - 6. Let y be p(-10). Factor -36*k**y - 28*k**2 + 27 + 4*k - 27 + 57*k**3 + 3*k**3.\nAnswer: -4*k*(k - 1)*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -311137*i**2 - 62 + 311137*i**2 + 62 + 7*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 14*o + 5. Let k be h(1). Suppose 6*l - k*l = -7735. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -173, 264, 701, 1138?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.153 and 0.4?\nAnswer: 0.4612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 - 159*i + 2. Let w(l) = -3*l. Give g(w(z)).\nAnswer: 9*z**2 + 477*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o - 56. What is m(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 2 + (-3 - -1). Let s(w) = 12*w**3 + w**2 - w + 1. Let n be s(1). Solve u = -2*o + 5 - n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {k: 2, p: 1, i: 6, c: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49*x**4 - 97*x**2 + 54*x**2 + 44*x**2 wrt x.\nAnswer: 1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.104728mg to nanograms.\nAnswer: 4104728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78445629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = g + 3 - 2, 1146*g - 1151*g + 1 = -3*i - i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (4 - 1)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**3 + 0 - 11*q + 5*q**2 + 1 + q**3. Let x(c) = 4 - 3 + 2*c - c. Let m(h) = -r(h) - 3*x(h). What is s in m(s) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28918031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 76.29 - 3.29. Let f = -60.6 + p. What is f rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/73387698 and 151\/18?\nAnswer: 220163094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -16. Suppose 0 = -2*g + k*g + 15. Suppose 3*n = -2*u - 23, -303*n + 308*n + 35 = 0. Sort g, 1, u in ascending order.\nAnswer: g, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7634 = 2*h + 2694. List the prime factors of (-1 - h\/8)\/(11\/22).\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/204344 and -73\/7832.\nAnswer: 2247784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -3*x + 24. Let k be 1*(-3 - -1*10). Let l be z(k). Let o = 79\/3 - 24. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2936356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-20))\/((-42228)\/(-1530))?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1410 is divided by 495.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gee when three letters picked without replacement from ettggytygfceyygyeyey?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 223 - 107. Suppose 5*x + 4*a = 2*a + 186, g = 3*x - a. Is x*(-2)\/12*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 10*t + 10. Let v be s(10). What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9183011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 622\/311*(5\/3 - 4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1262, -2527, -3794, -5063, -6334, -7607?\n\"Answer: -o**2 - 1262*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -64 + 64.3. Let w = -0.8 + 0.5. Which is the nearest to t?  (a) w  (b) 3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 at least as big as 44255404\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 56 and 1505717?\nAnswer: 1505661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 804343.\nAnswer: 37, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03791918 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8567\/238 + -36. Let f = 115\/952 - s. What is the nearest to -1 in -0.04, -4, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 67*y + 372. Give q(-9).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (102\/12 - 7)\/((-1)\/2). Put a, -38, 2 in ascending order.\nAnswer: -38, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v. Let p(u) = -189*u. What is -21*f(q) + p(q)?\nAnswer: -147*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 208*l + 705*l - 246*l + 298*l as k + n*l and give n.\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1005\/1793 or 1?\nAnswer: 1005\/1793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*l - 2*y - 4, 4*y = 2*l - 58 + 52 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*w**2 - 139*w**2 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -26  (b) -1.1  (c) 4  (d) 1\/5  (e) 5.3  (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, t: 5}. What is prob of picking 2 t?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17739, -9, -2, 3, -7, 5 in increasing order.\nAnswer: -9, -7, -2, 3, 5, 17739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and (12*(-3 - (-2 - -1)))\/(26\/(-416)).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7115cf (base 16) in base 11?\nAnswer: 4202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/37?  (a) 4  (b) 2  (c) 0  (d) 3\/5  (e) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 190 + -367. Let d = x - -173. Which is the smallest value?  (a) -5  (b) d  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-340)\/12 + -1)\/(((-5)\/(-3))\/(-5)). Calculate the highest common divisor of 80 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*g**3 - 293*g**3 + 108*g**3)*(-3 + 3 + 2*g**2) + 2*g**5 + 0*g**5 - 3*g**5 + (5*g**3 + 6*g**3 - 4*g**3)*(5*g**2 - 2*g**2 - 2*g**2).\nAnswer: -310*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*w + 8734 + 5716 = -23*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2)*d)**19*(d\/d**(-1))**15 assuming d is positive.\nAnswer: d**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 142 + 8. Let s be (-24)\/(5\/(a\/9)). Let x be s\/(-6)*90000\/4. What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 1. Let i(h) = -3*h - 1. Let c(u) = -i(u) + 2*m(u). What is c(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wtadkdtakwawd. Give prob of sequence dt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5*(12\/8*-2)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 - 239\/4. Let g = 2\/21 - -4\/21. What is the nearest to g in c, 1\/5, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5672)\/(-2127) + 2 + -3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*o**2 - 1232 - o**2 + 1235 + (3*o + 0*o - o)*(-2*o - 2 + 2) + (-5 + 5 + 1)*(0*o**2 + 0*o**2 - 3*o**2) + (-o - 2*o + 5*o)*(o - 6*o + 4*o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -126\/5*m**5 + 16\/5 + 4*m - 238\/5*m**2 + 582\/5*m**4 - 254\/5*m**3 = 0.\nAnswer: -1\/3, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/36 + 16\/3. Let u(g) = 41*g - 92. Let o(d) = -1. Let h(y) = m*o(y) - u(y). What is the derivative of h(j) wrt j?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-6)*3 + -2. Let m be (d + -2)*(-4)\/8. Suppose m = -2*b + 5*w + 21, 3*b + 3*w - 6 = -2*b. Solve -b - 2 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/4 - 9207\/(-22). Suppose -2*j - 3*i = -408, f = 2*j + 2*i + 15. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 9:38 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 1 = 3*o, -2*g - 6*g - 5*o + 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnn when three letters picked without replacement from njnjjjjnjjj.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 832 divided by -2\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 597850, 597847, 597842, 597835, 597826, 597815, 597802?\nAnswer: 597787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/7883343 and -13\/120.\nAnswer: 315333720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-210)\/56*(-2)\/(-2)*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/4 + (-186)\/24. Let p(q) = q**2 + 9*q + 8. Let a be p(i). Suppose a = 2*m - 2 - 0, 4*m = 3*j - 47. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17670 and 24510.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 42\/35*(1 + 4). Suppose 171 = p*i + 63. What is the least common multiple of i and 1\/(267\/(-90) + 3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 1:58 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s*s**(2\/7))))**8*(s\/(s*s**(-33)))**(-49) assuming s is positive.\nAnswer: s**(-11247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) 0.08  (b) -1  (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 916081 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - 11*m**2 - 11*m - 9. Let a be w(12). Suppose -9 = -a*p - 0*p. Is 2 a factor of (18\/10)\/(p\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3471324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/6 - (-254421)\/(-37179)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -g**6\/60 + g**5\/8 - g**4\/8 - 5*g**3\/12 + g**2 - 41*g. Factor q(t).\nAnswer: -(t - 4)*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005533758 rounded to 6 dps?\nAnswer: 0.005534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, i: 1, o: 2, q: 1, e: 2}. Give prob of sequence io.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/87 and -19\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -141 - -147. Let v(b) = b**2 - 6*b - 8. Determine v(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-649)\/11)\/118)\/((-8)\/272)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -2\/3*t**3 + t**2 - 1\/120*t**6 - 1\/15*t**5 + 1\/6*t**4 + 0 + t. Let g(h) be the first derivative of x(h). Give g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + a = -2*m - 17, -2*a - 7 = -m. Solve -m*n - 288 = -243 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1464120 (base 7) to base 12\nAnswer: 981a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1041 divided by -1041.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-220)\/88)\/(30\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.665 to two dps.\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -95.24 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9\/8 - -47\/56. Put 0.4, u, 4, 0.05 in ascending order.\nAnswer: u, 0.05, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 0*r = 2. Suppose -3 - r = -z. Let n be (-8 + z)\/((-1)\/(-3)). Is n at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31676682 divided by 82\nAnswer: -386301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14912?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(972))\/((sqrt(72) + (sqrt(72) - sqrt(72)*1))\/sqrt(8)) + -1.\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 4 + f**3 + 3*f**3 + 20*f + 27*f - 8*f**2 - 57*f. List the prime factors of n(7).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -241866 or -241867?\nAnswer: -241866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u. Let q(b) = 336*b - 112. Give q(x(j)).\nAnswer: -1008*j - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 0.1594, -3\/4, 5 in descending order.\nAnswer: 5, 0.1594, 0, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 370, 1 in decreasing order.\nAnswer: 370, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2679 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 361 + 20*b + 346 - 1055 + 348.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 44985104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 + (2 - -19))*1. Let n be (2\/(-4))\/(5\/60). Let s = j + n. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 9*r + 3*r**2 - 14*r + r)*(-7*r + 3*r + r).\nAnswer: -9*r**3 + 12*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*l + 4. Suppose -6*u = -x - u - 2, -l*u = x + 2. Let k be (-2)\/(-8) + 1\/(-4). Sort x, k, -3 in decreasing order.\nAnswer: k, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80811695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 8*h**2. Let j(v) = -5*v**2 + 4*v**2 + 8*v**2. What is j(b(q))?\nAnswer: 448*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**4 - n**4 - 3*n**4)*(3*n + 0*n - n) - 428*n**2 + 1213*n**2 + 1367*n**2 - 2*n**5.\nAnswer: -4*n**5 + 2152*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 13. Put 28, s, -4 in increasing order.\nAnswer: -4, s, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, -307, -450, -579, -688, -771, -822?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88*b**3*k*o**3 - 6*b**3*k*o + b**3*k - b**2*o**3 - b**2*o**2 + 8*b*k*o**2 - 264*k*o**3 - 868*o**2 wrt o.\nAnswer: -528*b**3*k - 6*b**2 - 1584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1069139, -1069145, -1069161, -1069193, -1069247, -1069329, -1069445, -1069601?\n\"Answer: -z**3 + z**2 - 2*z - 1069137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*b + 42*b. Solve -2*n = 2*m - b + 2, m = 3*n + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 18216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w + 18 - 31 - 22 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 565033, 1129840, 1694649, 2259460, 2824273?\n\"Answer: m**2 + 564804*m + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.05 - 0.15. Let p(j) = j**3 - j**2 - j + 4. Let y be p(0). What is the third biggest value in y, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2299329787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*b = 4*b, 0 = 2*m + b - 6. Let f(h) be the first derivative of -1\/4*h**m + 2*h**2 - 5*h + 4\/3*h**3 + 3. Determine f(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -34  (b) 0.3  (c) -1  (d) 9  (e) 1\/5  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Let v be i(0). Which is the nearest to v?  (a) -0.4  (b) 3\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from eedeegeedwweee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2662, -2659, -2654, -2647?\n\"Answer: p**2 - 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/91594219?\nAnswer: -2\/91594219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009303012557 to 6 decimal places.\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + f = -5*s + 65, -5*f + 4*s = -209. Find the second derivative of 517*p**5 - 256*p**5 + 21*p**4 - f*p - 260*p**5 wrt p.\nAnswer: 20*p**3 + 252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1371, -2745, -4131, -5535, -6963, -8421, -9915, -11451?\n\"Answer: -u**3 - 1367*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/3, -0.4, 5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -433333*u - 2. Let z be b(6). What is z rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + 2\/2 + 0. Suppose 4*a = -3*h - 0*a + 26, -9 = u*h - 3*a. Suppose 2*o = h, v - 2*o - 3 = 11. Solve -3*c - v = -7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 38 + 1 - 66) + -7?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**2 + 19389*h + 1890108 = 0. Calculate h.\nAnswer: -6364, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-7)\/(-126)*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115927727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.01, -4, -0.29, -8\/57, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(24\/27)*44\/(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 534 and 34.\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 - -36. Let d = -7 - -15. Let h(y) = -y**3 + 9*y**2 - 8*y - 4. Let s be h(d). Which is the third smallest value?  (a) 6  (b) s  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)\/sqrt(9) - -5*((sqrt(6)\/sqrt(3))**2 + sqrt(2)) - (-5*(-2*sqrt(2))**2 - (-1*sqrt(10))\/sqrt(5)).\nAnswer: 6*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96232.53 centuries to months.\nAnswer: 115479036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -4*s - 0. Suppose -b + s = -0. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*n**3*r**2 + 996*n**3*r - n**3 + 12*n**2*r**2 + 11*n**2*r + 383*r**2 wrt r?\nAnswer: -62*n**3 + 24*n**2 + 766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 7 = -2*n, 3*r + 2*r + 3*n = 22. Suppose 3*y + t + 8 = 0, 0*y + 5*t + 10 = -r*y. Let i be 18\/5 - (-30)\/(-50). Put y, 2, i in ascending order.\nAnswer: y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 108*i**2 - 2871*i - 250. Determine c(-61).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -250.2 - 3.8. Let o = i + 264.3. Let v = -10.277 + o. What is v rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 0*o + 3*v = 47, 0 = 2*v + 2. Let b = o - 4. Let c(t) = t**2 - 7*t + 5. Determine c(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (336\/(-14))\/(-6)*2\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vppqqtqcpqqttvqqtcqt. Give prob of sequence cv.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 34*r - 141. Let v be s(6). Calculate the greatest common divisor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 16 = -2*p - 6, 2 = -m - p. Suppose y + 8 = -m*y. Let r = y - -6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16700047 and 7189?\nAnswer: 16700047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 f, 1 e, and 1 y when four letters picked without replacement from {e: 1, n: 1, u: 6, y: 4, k: 1, f: 2}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 446?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -37*a**2 + a - 6. Let t(p) = 31*p**2 - p + 4. Let m(n) = 5*j(n) + 6*t(n). Let r(z) = 1. Determine m(c) + 6*r(c).\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 - 47. Solve -2*y + 4*c = 2, 4*y - 5 = 4*c - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 divided by -16717.\nAnswer: 41\/16717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 19, 30, 12, -3 in descending order.\nAnswer: 30, 19, 12, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -22 - 8) + -2 + (3 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 17*q**2 + 2*q + 10. Let t be n(17). Let u(g) = g**3 - 7*g**2 - 2*g + 6. Let a be u(8). Suppose a = l - t. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5592 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 553 and 2370?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 0, 2*j - r = 3*j - 8. Suppose i + j*n - 25 = 3*n, -7 = -i + n. Suppose 5*w - 145 = i. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + q - 4. Suppose -3*h = -q*h - 3. Let u(c) = -c + h*c - 3*c. Let y(x) = -5*x. Determine u(y(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*m = 3*y - 83*m + 18, 5*m = -4*y - 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*p, -p + 6 = -h - 3*h. Let n(o) = -o + 1 + 0*o - o - 3*o. Calculate the least common multiple of n(h) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -12  (b) 1\/7  (c) -0.07  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - 12*q**2 - 9*q + 1. Let b be h(-11). Suppose -5*t - 630 = -125. Let k = b - t. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 4:17 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*c - 338*c + 162*c**2 + 125*c to p*c**2 + l*c + k and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hjhh when four letters picked without replacement from hhhjhjhhjhhhjjhh?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 - -3.93. Let r = -19 + 14.9. Let w = v + r. What is the closest to w in 3, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 74442 = -4*r, 4*r - 3757 + 40962 = f. What is f rounded to the nearest one hundred?\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2246211767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -5*w - 101, w + 3*q - 43 = 3*w. Put 2, w, 5, 0 in ascending order.\nAnswer: w, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152406.75ms in minutes?\nAnswer: 2.5401125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 44*l = -49*l - 38, 4*m = 5*l + 48. Let j(v) = -7*v**2 + 8*v - 9. Let p(r) = -8*r**2 + 9*r - 10. Let c(s) = 6*j(s) - 5*p(s). What is c(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + 0 + 0 + (1 + 6 - 2)*(61*z - 1158*z - 2 - 193*z).\nAnswer: -6452*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -5*n + 9*n + 14, 8*m + 3*n = 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 747567 (base 9) to base 12\nAnswer: 195744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1129260 by -1276.\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/3272 and -37\/10.\nAnswer: 16360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 253 and 230.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, 3, 2 in increasing order.\nAnswer: -7, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -4*d - 2*k + 5*k, -d + 8*k = 87 - 60 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -219, -878, -1985, -3546, -5567, -8054?\n\"Answer: -x**3 - 218*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 1 = -s. Let y(t) = -s*t + 11 - 11. Determine y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 17*t**2 - 41*t - 31. What is s(15)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 13*r**2 - 10*r**2 + 1.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189989.\nAnswer: 189989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**6*d*d**5)**(14\/5)*(d\/(d**(-2\/7)*d))**36*(d\/(d\/d**6))\/(d\/(d*(d**(-1)\/d)\/d)) assuming d is positive.\nAnswer: d**(1739\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 5*o = 35, -5*k + 4*k - o + 8 = 0. Suppose k*b = -b + 24. What is the highest common divisor of 78 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -232 from 6.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 46853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 41*y + 144. Calculate x(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s + 17. Suppose 3*y - 20 = -y. Let o be k(y). What is the second derivative of 3*x**2 - 6*x - 3*x**2 - x**o - 11*x**2 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 - (-1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45 or 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 3*x**2 + 2*x + 1. Let l(m) = 7*m**3 + 19*m**2 + 12*m + 10. Let s(w) = -l(w) + 6*q(w). Let f(r) = -r**3 - r**2 - 7. What is -3*f(p) + 5*s(p)?\nAnswer: -2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 2*q - 12. Suppose -5*d + q = -12. Factor -7*w + d*w**5 - 21*w**3 - 36*w**2 - 18*w**4 + 60*w**3 + 19*w.\nAnswer: 3*w*(w - 2)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.143 rounded to one dp?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2241*c**2 + 2390*c + 4. Let x(z) = 4483*z**2 - 4778*z - 9. Let v(n) = -9*a(n) - 4*x(n). Find the second derivative of v(h) wrt h.\nAnswer: 4474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4)*u)\/u**(-5\/7) assuming u is positive.\nAnswer: u**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003081 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (5 - 1 - (8 + -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 106519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -14*(-15)\/315*3. Let v(p) be the third derivative of 0*p + 1\/2*p**3 + 1\/3*p**4 + 0 - n*p**2. Give v(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**3 + 19*f**2 - 2*f + 7. Let i(s) = -5*s**3 - 29*s**2 + 3*s - 11. Let k(b) = -8*g(b) - 5*i(b). Suppose 0 = 12*m + 3*m - 105. Give k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ox when two letters picked without replacement from exdoxxo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**6\/(a*a**(1\/4)*a)**(3\/7) assuming a is positive.\nAnswer: a**(141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/17*o - 2\/17*o**2 + 14\/17.\nAnswer: -2*(o - 1)*(o + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1184513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2459560 divided by -72340?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2874519.\nAnswer: 3, 319391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3*z - 63, 2*y + z + 240 = 86. Let t = y + 77. What is the second biggest value in -5, -1\/4, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4 = 2. Let l(d) = -15*d + 86. Calculate the least common multiple of l(4) and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -19*p - 6. Let d(t) = 550*t + 175. Let f(h) = 3*h + 1. Let x(r) = -d(r) + 50*f(r). Calculate 125*o(z) - 6*x(z).\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: 0.2+-3332\nAnswer: -3331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 3683.47349162.\nAnswer: 3681.47349162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of 11*q**2\/2 + 2. Let c(o) be the first derivative of -o**2\/2 + 2. Calculate c(z(v)).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -11785000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -44660808 divided by 738\nAnswer: -60516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 10*x + 0*x**3 - 2\/3*x**4 + 7*x**2 + 0. What is the first derivative of p(o) wrt o?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200*w = -3531 + 531 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 100\/(-40) + ((-4)\/(-2))\/4. Let d be (-56 - -51)\/(-3 + g). Which is greater: -7\/94 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000010279 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -6 + 0 + 0*f**2 - f + 8*f**2 + 6 - 2. Let z(i) be the first derivative of 1 + 1\/3*i**3 + 0*i**2 + 0*i. Determine -d(p) + 6*z(p).\nAnswer: -2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 610366.5 + -35985481.\nAnswer: -35375114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101010000001001 (base 2) to base 10.\nAnswer: 54281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**3 - c**3 + 3*c**3)*(-5*c + c + 2*c + (-1 + 0 + 3)*(4 - 3*c - 4)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3132.7 - -3134. Is 11 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 12406?\nAnswer: -12412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*a**2 + 17*a**2 - 15*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-31)*h**(-37) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a = -3*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1023*l = 210 + 6951 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/336 and -5\/114.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, z: 2, i: 2, u: 1}. What is prob of sequence ilz?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3324 + -3323.998339. What is x rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110527 (base 10) to base 5\nAnswer: 12014102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4240556708 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h + 189 = -2*t + 148, -h = -2*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -561 and -2276.\nAnswer: 1276836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -488*n - 249*n + 199*n - 2.\nAnswer: -538*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 20*f**2 - 308*f + 243. Let m(v) = 15*v**2 - v - 1. What is the lowest common multiple of z(30) and m(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 76\/18 - (-10)\/(-45). Let j = v + 4. Let 3*d**4 - d**4 + 6*d**2 - j*d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3620956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1441*c + 1446*c = -30. Let v(q) = -q**2 - q + 2. Calculate v(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (93 - 94) + (1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 + -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**6\/120 + r**5\/15 + r**4\/8 + 5*r**3\/3 - 18*r**2. Let q be v(-9). Suppose 0*k - 7*k = -q. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2584)\/24 - (-1)\/(-3). Let m = -175 - c. Let q = m + 104. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2696, 10801, 24314, 43235, 67564, 97301?\nAnswer: 132446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**4 + 50*j**3 - 35*j**2 - 980*j.\nAnswer: 5*j*(j - 4)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in -0.1, -16, 14138?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9f877 + -8?\nAnswer: -9f87f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00179063 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/14710 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 - -40. Let t(i) be the third derivative of 0*i**4 + 1\/120*i**6 + 0 + 3*i**2 + 0*i + 1\/60*i**5 + r*i**3. Factor t(q).\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*i + 82. Let d = i + -2. Suppose 5*z - d = -3*k - 1, -4*z = 3*k - 11. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, r: 4, h: 2, m: 6, t: 1}. What is prob of picking 1 s and 1 r?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -147. Let f = y - 91. Let l = f + -42.99999796. Round l to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 2:55 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 22 - c24?\nAnswer: -c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (169 - 3) + (6 - (-15)\/(-3)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {u: 13, h: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 - 28. Suppose r = -3*r - 20. Let u = -3 - r. What is the remainder when s is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h - 25, -2*v = 2*v - 2*h + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of 0 - 34*c**2 + 13\/12*c**4 - 7\/3*c**3 + 0*c. What is the derivative of i(q) wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-17539 - (1 + (0 - 3)))*162\/(-54).\nAnswer: 3, 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11676310949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from nxanxvx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2. Let b(a) be the second derivative of -20*a + 2\/3*a**4 + 0*a**2 + 0*a**3 + 0. Calculate g(b(z)).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Put -2, -31, 2 in decreasing order.\nAnswer: 2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11146 - -791352\/71. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1151 + -0.5151. What is the closest to 1 in -4, -2, 19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.35 and 1542.62.\nAnswer: -539.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + 10. Let s be 3*(-2 + 34\/n). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:56 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 63.81405 milligrams?\nAnswer: 0.00006381405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*a = 6*p + 14, p - 8 = 5*a. Let y be 26\/(-21) - (-6)\/9. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2492.32 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -201102230 (base 4) to base 13\nAnswer: -4a0b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y = -3*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 1. Suppose -o + 25 = 4*o. Calculate the remainder when o is divided by 0\/(u - 1\/(-1)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 + 54. Let a = c + -16. Let g(d) = d**3 - 11*d**2 + 11*d - 6. Let b be g(a). Solve t = -t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v. Let a(k) = -1365*k**2. What is j(a(f))?\nAnswer: 2730*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24535351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -8*n**3 + 4*n**2 - 4*n - 4. Let d(h) = -h + 26. Let m be d(23). Suppose -m*t = -t + 8. Let z(c) = c**3 - c**2 + c + 1. Calculate t*z(l) - y(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8 + 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 16) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 7*s**2 + 3*s**2 + 2*s**2. Let p = -39 - -42. Let z(q) = 2*q. Let d(l) = l. Let n(h) = p*z(h) - 8*d(h). Determine x(n(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 59323 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -11*h**3 - 40*h - 35. Let n(a) = 4*a**3 + 14*a + 12. What is -3*c(o) - 8*n(o)?\nAnswer: o**3 + 8*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -3. Let x(f) = -f. Let g(v) = v**3 - 2*v - 12. Let c(n) = g(n) - 3*x(n). Give c(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1909670, 7638665, 17186990, 30554645?\nAnswer: 47741630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 5*f**2 + 882915650*f + 38977002250746125 = 0.\nAnswer: -88291565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4601, -4614, -4635, -4664?\nAnswer: -4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 60*x + 65*x)*(-x**2 + 2*x - 4*x + x).\nAnswer: -127*x**3 - 127*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 114512520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65.21 - -1.21. Let p = 43 + h. Let m = -24 - p. What is the nearest to -2\/5 in -4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -0*c + 1, 0 = -4*l + 2*c - 22. Let b = -9 - l. Let r be 10*((-14)\/b + 2). Calculate the greatest common divisor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 118462500 and 44226?\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34351*i**2 - 61148.\nAnswer: 68702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 137\/103922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010 + 110?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -50, -30, -12, 4?\n\"Answer: -g**2 + 23*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3684 greater than or equal to 3752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.6  (b) -1  (c) -1\/7  (d) 2\/834297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36840 and 1?\nAnswer: 36840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 44 = -124. Calculate the remainder when 139 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1946, 5026, 8106, 11186, 14266, 17346?\n\"Answer: 3080*l - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -472636*l. Let p(z) = -24*z**2. Give p(r(q)).\nAnswer: -5361234923904*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + t = 12. What is the smallest value in -16, t, 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*z**3 - 34*z**2 - z**3 + 2*z**3 - 2*z**3 wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.389803m in micrometers?\nAnswer: 1389803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2122447456357706 - -2122447597952892.0000037. Let z = c - 141595111. Let t = z - 75. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -n + 6, -6*n + n + 21 = -4*r. Suppose l = -1 + 8. Solve -n*a - 3 = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 8*p**2 + 29*p + 28. Let x be v(-12). Let l = x - -5. Suppose -4*u - 87 = -7*u. What is the greatest common divisor of u and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -23, -102, -233, -416, -651?\n\"Answer: -26*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 26 = -2*i + 7*i, i + 2 = 0. Let c(w) = w**3 + 8*w**2 - 11*w - 8. Calculate c(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11827512421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 - m**5 - 2*m**5 + (-3*m**3 - m**3 + 2*m**3)*(m**2 + 3*m**2 - 3*m**2) - 53*m**3 - 20*m**5 + 53*m**3.\nAnswer: -27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 37*i - 202*i + 0.\nAnswer: -239*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ogjgmeg. Give prob of picking 1 o and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(70) - -1*sqrt(70)*-2 - sqrt(70))\/(sqrt(2) + (sqrt(162) + sqrt(162)*1 - sqrt(2))))\/(sqrt(540)\/(1*sqrt(588))))**2*-5.\nAnswer: -1715\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-672)\/(-36) + -11 + ((-3)\/(-9) - 0). Let b(l) = -l**3 + 9*l**2 - 11*l + 2. Calculate b(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 2*g - 3296, 2*q = -g - 886 + 2534. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((75\/9)\/(29\/((-4524)\/(-30))))\/((-4)\/(-6)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 3 + 3)*(0 - 1 - 14).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 992 and 98188346.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 0*y**4 - 2*y**2 - 7\/5*y**5 + 0 + 47\/3*y**3 - y. Find the first derivative of t(r) wrt r.\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2*m - 2*m + 24 = 0, 26 = 4*p + 5*m. Suppose -2*c + 5*c = -5*t + 24, -4*t + c = -9. Solve 3*z - 2 = -x + t*x, 0 = p*z + 4*x + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 1:05 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/((-20)\/(-3)))\/((-125)\/(-625))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 74654 and 4122?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 217 - 221. Put 0.2, q, -2\/15 in ascending order.\nAnswer: q, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8627*x**3 - 6712*x**3 + 11199*x**3.\nAnswer: 13114*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -14. Let m be -2*(-3)\/12*-2. Let n be (m\/(-2))\/(15\/10). Which is the closest to x?  (a) 2\/5  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -57 - -15 - (5 + -44) - 27.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*i**3\/3 - 2384*i**2\/3 - 144*i.\nAnswer: -4*i*(i + 54)*(11*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 5*y**3 - 5*y**2 - 9600*y + 157500 = 0?\nAnswer: -50, 21, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -123551 (base 12) to base 3.\nAnswer: -120001101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 510555869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 293190 or -4\/21?\nAnswer: 293190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 4*z**4\/9 + 986*z**3\/27 + 7502*z**2\/9 - 1922*z\/3 - 293. Factor b(t).\nAnswer: 2*(t + 31)**2*(8*t - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 120 + -121.353. Round g to two dps.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 3, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 2*t)*(-2 + 6 - 2)*(-1161*t - 48*t**2 + 1161*t) to u*t**2 + h + y*t + k*t**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 492\/10303 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 13. Suppose -j*b + u + 131 = 0, 1 = -4*u - 3. Let g(n) = n**2 + 2*n - 6. Calculate the remainder when b is divided by g(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of 37*l**5\/10 + 43*l**4\/4 - 68*l. What is the third derivative of i(y) wrt y?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -1 + 48 - j - 3*j + 2*j. What are the prime factors of f(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r - 36 = 59. Let t = 24 + -19. Find the second derivative of 8*x**t + 19*x**r - 10*x - 43*x**5 wrt x.\nAnswer: -320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22183 is divided by 109?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -291*a - 430*a - 291*a + 245*a - 928*a in the form i*a + j and give i.\nAnswer: -1695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95380, -95296, -95212?\nAnswer: -95128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 5*q + 1 + 3*q)*(12 - 3 + 4)*(0 - 3 + 5)*(0 + 2 + 0).\nAnswer: 104*q + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 88 - 57. Let w = l + -19. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 16*a**2 - 6*a - 3. Let u(r) be the first derivative of -11*r**3\/3 + 2*r**2 + 2*r + 99. Calculate -5*b(i) - 7*u(i).\nAnswer: -3*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -18464.04771 to 0 dps.\nAnswer: -18464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -120202 (base 3) in base 15?\nAnswer: -1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1884?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/13, 0.3, -0.15 in descending order.\nAnswer: 0.3, 2\/13, -0.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104266820?\nAnswer: 2, 5, 7, 23, 32381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 3*c - 5 = 0, -484*c = -499*c - 105 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1.25, 2, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -178763 at least as big as -178759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*k - 3*s + 2*s, 5*s = 4*k + 6. Let d(m) = -9*m - 11*m**2 + k - m**3 + 0 + 2 + 1. Let i be d(-10). Let c(a) = -a**3 - 6*a**2 - 3*a + 3. Give c(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/10)\/(14\/(-10)). Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.065765 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 99219 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(1 + (-18)\/(-3)). Let u(s) = -24*s**2 + 9*s. Let j(d) = -12*d**2 + 4*d. Let p(b) = t*j(b) - 3*u(b). What is the second derivative of p(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.24198046 rounded to four decimal places?\nAnswer: -1.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -2, -170, -2281 in decreasing order.\nAnswer: 10, -2, -170, -2281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, -33, 1, -0.13 in increasing order.\nAnswer: -33, -0.13, -1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 331195731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 7*d**2 - 3*d - 3. Determine p(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 3. Let q be y(-2). Suppose r = 7 - q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**0*r)\/(r*r**3*r))\/((r*r\/(r*r**(-3\/2)\/r))\/r**(6\/5))*(r\/r**(-4\/5)*r*r**12)**(-7\/4) assuming r is positive.\nAnswer: r**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, -4, 2, -1, 16, 8 in increasing order.\nAnswer: -73, -4, -1, 2, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1767 by 3.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*a - 7*a + 361*a)*(-7*a + 7*a - 7*a).\nAnswer: -1897*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -0.5  (b) 15  (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 - 32. Let h(n) = 12*n**2 + 0 + 2 - n**3 - 8*n - 3*n**2. Calculate the remainder when h(b) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5 + 3 + 3)*(0 + 4 - 6) + 5 - 3 + 7)*(10 + 22*y - 10) as x + n*y and give n.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63, 249, 559, 993, 1551, 2233?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -13\/2. Let b = -443 - -445. Factor -4\/5*n**3 + 0 - u*n**b + 3\/5*n + 3\/10*n**4.\nAnswer: n*(n - 3)*(n + 1)*(3*n - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 10*x**3 - 3*x**2 + 3*x - 3. Let d(f) = 16*f - f - 10 - 6*f + 30*f**3 + f - 10*f**2. Give -3*d(h) + 10*k(h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 - 17?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + q + 2. Let n(h) = h**2 + 3*h + 11. What is -3*c(f) - n(f)?\nAnswer: 2*f**2 - 6*f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (16\/(-6))\/((28\/(-18))\/7) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*n - 23*n - 6. Which is bigger: 10\/211 or n?\nAnswer: 10\/211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 422244, 1688973, 3800188, 6755889, 10556076?\n\"Answer: 422243*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, f: 2, u: 2, r: 1, c: 6, y: 1}. What is prob of picking 2 f and 2 j?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -320519687209660.9999842 - -320519849811838. Let b = p + -162602288. Let u = -111 - b. Round u to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 3\/20, -3 in ascending order.\nAnswer: -7, -3, 0, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2. Suppose a = 2*g + 20 + 2. Let z = g - -8. Put 0.4, z, -4 in ascending order.\nAnswer: -4, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 10  (b) -5  (c) 13  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -3.462035 and -0.188 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 50142 * 14.8.\nAnswer: 742101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 646\/7 - 92. What is the closest to -1 in -0.6, 3\/2, p?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - 8*g - 11. Let c be -5 + -1*3\/(-3). List the prime factors of f(c).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 2804472.\nAnswer: 19631304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 106212 by 501.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/7*2942*-7. What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.94 and -21570358806.\nAnswer: -21570358810.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(18\/(54\/(-3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4430796, -8861597, -13292398, -17723199?\nAnswer: -22154000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 11:40 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -0.9. Let s = 13 - 8. Let m = -9 + s. Which is the closest to n?  (a) m  (b) -0.5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2 = -37. Let n be (r\/(-3) + 2)*3. What is the units digit of 11 - n - (1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 1:31 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 4*f - f - 25 = 0, 2*q - 5 = f. Suppose q = -3*w + 465 + 1590. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x - 3. Let h(q) = -9*q + 7. Calculate -3*h(y) - 5*n(y).\nAnswer: 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -4*d + 60, -3*s - 3*d = -d - 34. Let a = -9 + s. Let n(x) be the first derivative of -x**2\/2 + x + 1. Let i(g) = g - 2. What is a*i(r) - 2*n(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-282)\/54 - ((-50)\/45)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 7*o**2 - 3*o**2 - o**2 - 6 - 4*o**2 - 7*o. Let j = 893 - 899. Calculate t(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -442729719174 + -0.0835\nAnswer: -442729719174.0835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*6*(sqrt(63) + 1)*-1*-6*5*3.\nAnswer: -6480*sqrt(7) - 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 382 = -746. Let s = k - 92. Is 39 a factor of 1428\/7*s\/(3 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 27961 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 7, -0.05, -53.\nAnswer: -53, -0.05, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + q + q - 2 - q + 2 + (-1 + 1 - 1)*(3*q - 5*q + 0*q) + q + 4 - 4 + (-13 + 13 + 2*q)*(-2 - 2 + 3))*(-q + q - 2*q**2).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 798\/(-105) - (-7 - 1). Let x = 31\/3 + -11. Sort x, r, -1\/5, 2\/7 in decreasing order.\nAnswer: r, 2\/7, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 14*p + 405. Let j be f(26). Which is greater: 770 or j?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/268089839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 91*b = 95*b + 1295, -6 = 3*b. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 6:44 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/123)\/(148\/222)*((-12)\/(-6))\/2.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 1. Let m(j) be the second derivative of -7*j**4\/12 + j**3\/2 - 3*j**2 + 3*j + 27. Calculate -6*d(p) + m(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 + -0.1. Let y = -10 - -13. Put q, 4, y in ascending order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of r**3\/3 - 5*r**2\/2 + r. Suppose -h = 4*h + 80. Let j = -11 - h. Determine z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -17. Let t be 2*p - (3 + 0). Solve -4*c = c + t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 104676, 209371, 314082, 418809, 523552?\n\"Answer: 8*u**2 + 104671*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 5*i - 3. Let p = 2 - 3. Let a be -3 + 2 + (p - -13). Let t(d) = -2*d**2 + 7*d + 4. Let f be t(0). Let m(o) = -14*o + 8. Give a*z(s) + f*m(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*a*j**2*q**3 + 3*a*j**2*q**2 - 3*a*j**2*q - a*j*q**2 - 9*a*q**3 + 4*a*q**2 - q**3 wrt q.\nAnswer: -48*a*j**2 - 54*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t + 14. Let l be s(7). Let b be l*(-4)\/(1*-8). Solve b*x + 4*x - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -27*f - 169. Give i(-11).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) - (2 + sqrt(125)))) + 3 + 1*sqrt(125) + -5 + sqrt(125))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 28582785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 3*q**2 - 2. Let s be m(-2). What is the second derivative of 2*u**2 + 5*u - u**2 - 4*u**s - 2*u wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -76*v**2 + 63\/2*v**7 + 39\/4*v**5 + 10\/3*v**3 - 63*v**6 + 0 + 0*v + 85\/6*v**4. Let o(j) = 0. Calculate j.\nAnswer: -2\/21, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (189\/126)\/(-1*(-3)\/10). Suppose 12*i = z*i + 329. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.145, 1\/9, 121, 0, 1?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/120 and 101\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49286 + v**2 - 3*v + 3*v + 49286.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4484*n - 4369*n = 4140 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l - 1. Let h(q) = 2 - 3 + 3*q + 0 + 2. Calculate 2*c(i) + h(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018921 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 84826804723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5375166*c. Let z(t) = 2*t. What is z(d(f))?\nAnswer: 10750332*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 5\/45976154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -0.6, 1\/26, -2\/3, 3\/7, 3 in decreasing order.\nAnswer: 3, 3\/7, 1\/26, -0.6, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and -0.2941272.\nAnswer: -1.2941272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -79*y. Let c(z) be the first derivative of -z**2\/2 + 19. Determine c(w(u)).\nAnswer: 79*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 432 and 208.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 4*i - 49, -26 = 2*i - 3*i + 4*m. Suppose 4*y + 20 = -0*y. Let f(v) = 33*v + 36*v - 62*v + 5. Let s(w) = 6*w + 4. What is i*s(b) + y*f(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8929 + -8118. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80 - 43. Suppose 4*q + 1 = t. Suppose 0 = 4*x - x - q. Which is the third smallest value?  (a) 2  (b) x  (c) -3  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 6*z**2 + 2*z - 13. Let n be u(6). Let h(x) = -2*x**2 - 2*x - 1. What is h(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -17 + 5. Solve 0 - 2\/9*i + 0*i**2 + 2\/9*i**d = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 4, n: 1, g: 4, z: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 9*i - 5. Let t be (-1 + -3)\/((-6)\/(-15)). Let p = 1 + t. Let d be q(p). Which is the biggest value?  (a) 3\/7  (b) d  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yybeffj. What is prob of sequence yjey?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 92*r - 8. Let f(z) = 138*z - 11. Calculate -5*f(h) + 7*i(h).\nAnswer: -46*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -249 = 33*n - 36*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b6 (base 12) to base 9.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2230 - -2?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3*sqrt(1573) + sqrt(1573))**2.\nAnswer: 6291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78184 and 10.\nAnswer: 390920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 4, 134.\nAnswer: -19, 4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11\/9 + 4\/9*m**2 + 7\/9*m.\nAnswer: (m - 1)*(4*m + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/7)\/((-29)\/203))\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from njdjjrrinijnnj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 579172700 to the nearest one million.\nAnswer: 579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wlsmluw. Give prob of sequence sw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 32*b**2 + 116*b + 17. Calculate g(28).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kdddpddddddkdkd. What is prob of picking 1 p and 2 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-335)\/5*-624 + (-2)\/3*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, a: 9, p: 2}. What is prob of sequence tpp?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4, -17, -30?\n\"Answer: -13*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4357*f - 2183*f - 2170*f. Let v(i) = -2*i**2 + 822. What is v(x(p))?\nAnswer: -32*p**2 + 822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 10:26 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -31*m - 4. Let d be a(6). Let v = -117 - d. Suppose -3*j = 2*u - 54, -3*u + v = 3*j + j. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7298\/55 - -1596\/11. What is the common denominator of t and ((-5)\/90*3)\/((-2)\/302)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 1*sqrt(405))*3)**2.\nAnswer: 648*sqrt(5) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*a**2*o*y + a**2*o - 139071*a**2*y**2 - 2*a*h*o*y**2 - 1107*a*h*o - 10*a*h*y + 2*o*y**2 wrt y.\nAnswer: -278142*a**2 - 4*a*h*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -295.8 minus 0.064?\nAnswer: -295.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express ((t**2 + 2*t**2 - 4*t**2)*(-2 - 2 + 3) + 34*t**2 - 9*t**2 + 0*t**2)*(4 + 1 - 3) in the form p*t**2 + o*t + m and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -11*v**3 - 197*v - 12. Let k(o) = -o**3 + o - 2. Give 6*k(w) - t(w).\nAnswer: 5*w**3 + 203*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*k + 1746 = -269*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 797708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72034.57l to millilitres.\nAnswer: 72034570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 2*p + 4*w + 3, 0 = 3*p - 3*w + 96. Let j = p + 91. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t + 3133 = 1. What is the remainder when 342 is divided by t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -6*b**2 - 20*b**2 + 23*b**2 - 4*b**2 - 16*b**2. Let l(y) = 17*y**2. Calculate o(l(j)).\nAnswer: -6647*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31 - 80*j + 30 + 2 + 19*j**2 + (2 + 1 - 2)*(-3*j**2 + 0 + 0) - 3*j + 3*j + j**2.\nAnswer: 17*j**2 - 80*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 10*w**2 - 16*w + 6. Suppose 3 = 5*i - 37. Let d be l(i). Suppose 0 = -4*j + d*j - 50. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5611\/(-543))\/((8\/12)\/(-2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 2.52, -3\/5, 0.1, -3 in increasing order.\nAnswer: -3, -3\/5, -0.2, 0.1, 2.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -2, 36, -3 in decreasing order.\nAnswer: 36, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, i: 1, s: 3, d: 5, j: 1, m: 1}. Give prob of picking 2 q, 1 s, and 1 m.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 65\/39 + (-8)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6638.5709 + 6639. Round r to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 8 + (-22 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 481 = -65*w - 53*w + 4375. Calculate the highest common factor of 14652 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (291 - 278) + (4 - -5 - -3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 63b1 (base 14) to base 6\nAnswer: 211355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b + 1346. Let m(j) = -2*j. Calculate m(h(v)).\nAnswer: -4*v - 2692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g = 20335 - 20479 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, n: 7}. Give prob of sequence fnff.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 9 + 15 = 0. Let r(m) = 40*m**2 - 15. Let c(f) = -39*f**2 + 16. Let s(q) = v*c(q) - 5*r(q). Differentiate s(x) with respect to x.\nAnswer: -88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 250*q**2 - 301*q**2 + 2 + 494*q**2 + 386*q**2.\nAnswer: 829*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7485717832?\nAnswer: 2, 21977, 42577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 4.006368cm?\nAnswer: 0.04006368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k. Let m be r(0). Let w be (-7)\/(-5) + m + -1. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -4, 137 in ascending order.\nAnswer: -4, 3, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*j**3 - 37*j**3 + 585*j + 57*j.\nAnswer: 12*j**3 + 642*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 45 + -769.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-137 + 326 - 192 - 153*r)*(7 - 1 - 2).\nAnswer: -612*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35834620.\nAnswer: 2, 5, 1791731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 56*t + 94*t + 71*t + 1 - 1 in the form s*t + d and give s.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 200565461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 + 48*c**2 - 18607*c + 162846.\nAnswer: (c - 109)*(c - 9)*(c + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 579 = u, -2*u + 4*n + 661 = -447. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 263911 + 3?\nAnswer: 263914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*((c*c*c**(-3\/2)\/c*c)\/c)\/c*c*(c*c*c**(-6\/25)*c)\/c)**(-7\/4) assuming c is positive.\nAnswer: c**(-791\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + 1)*-3*400\/48. Solve d*c + 31 = -44 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1502 = 9*v + 1556 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 + 31 + -57 - (-10 - 0).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 310215536 and 736?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*h - 25 = 0, -n - 4 + 1 = h. Find the third derivative of -2*s**4 - s**2 + 5*s**4 - n*s**4 + 0*s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -9.2. Let y = 17.2 - g. Let m = -5 + y. Put 4, m, -3 in descending order.\nAnswer: m, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 758*g - 8 - 5 - 763*g to o*g + s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1 + 1*sqrt(2299))**2.\nAnswer: 22*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 13221 = 2*i + 3*n, 0 = 5*i + 2*n - 33000. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -12*g + 216. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 56, 191, 452, 881, 1520?\nAnswer: 2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 465 by -2015.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 92393*d*m**3 + 3*d*m**2 + 3*d*m + 8*d + 179*m**3 + 9*m**2 + 2*m + 215 wrt m.\nAnswer: 554358*d + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 2*i + 0*i)*(-3 - 2 + 2)*(0 - 2 - 1) + 6*i + 10 - 10.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from mbbbqgqmqmmegbbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -86766.297.\nAnswer: -347065.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2, -4*r + 2 + 7 = -5*m. Find the first derivative of -r - h**3 + 0*h**2 + 0*h**2 + 2*h**3 wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12698 + 698352\/55. What is the common denominator of l and 10\/27?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -10*k + 7*k - 339, -4*k + 153 = -c. List the prime factors of (-35630)\/c*3 - 14\/(-77).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3.85 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 17*a**2 - a + 4 - 17*a**2 - 3*a**3 to z*a**3 + y*a + d + o*a**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 740984328 and -10.\nAnswer: 740984318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2 - ((-24)\/(-8) + -50) is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -365181\nAnswer: -4\/365181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6369, 12169, 17969, 23769, 29569?\n\"Answer: 5800*p + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4 - 1. Let m be 1 + (-5 + 7 - 5). Suppose 0 = -2*v + 18 - 8. Sort m, v, h, -5 in decreasing order.\nAnswer: v, m, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/2, -144, 4 in ascending order.\nAnswer: -144, 4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6948 divided by 18?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2687, 2697, 2719, 2759, 2823, 2917, 3047, 3219?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*k + 871 - 533 - 562 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -211262, -211261, -211260, -211259?\n\"Answer: d - 211263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159, 109, 115, 201, 391, 709?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 80\/399 + 38\/(-399)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 27*h - 748. Calculate t(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*3 + (0\/6 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 0 - ((93\/16)\/3 - -4) and 4\/14 - (-1718)\/(-280).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 448 and 80.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4604632 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21402166 + -5?\nAnswer: -21402204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 841782 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 126, 110, 96, 84, 74, 66, 60?\n\"Answer: l**2 - 19*l + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-20)\/12*(-199839)\/116)\/(2\/1600). Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 1 - 1)*(-3 + 8*w + 10*w - 10*w) in the form f*w + t*w**2 + o and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 780590497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from fqfqqff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -36. List the prime factors of (-3714)\/g + 4\/22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-1 - 1) - 357\/(-84). Let f = 3 - 3.2. Which is the nearest to f?  (a) u  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147 (base 11) in base 9?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -8007 <= -8008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 55310?  (a) 0.1  (b) -31  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 802 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 4 + r)*((-5 - 1 + 4)*(-1 + 2 - 2) + 2 + 1 - 4 - 1 + 4 + 0).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-375)\/20))\/((-36)\/(-30))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 114  (c) 346  (d) -0.1  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 1:26 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 500 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + -6*(-4)\/30*(20 + 0). Calculate the highest common factor of 720 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -63430 plus 1777789441?\nAnswer: 1777726011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**4\/24 - 876*p**2. Let q(z) = -1670*z. Calculate q(m(s)).\nAnswer: -1670*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20994, 21011, 21040, 21081, 21134, 21199?\nAnswer: 21276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3330122110 (base 4) to base 2\nAnswer: -11111100011010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 211268 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 121651881762 and -4.36.\nAnswer: 121651881757.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 781 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/4 + 13*g\/4 + 11\/2.\nAnswer: (g + 2)*(g + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/25 + (-22012)\/(-90). Let r = w + -245. Let f = 1\/14 + -33\/70. What is the closest to 0.1 in 2, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0)**48)**(-20\/7)*((a*a\/a**(-1\/3))\/a*a)\/((a\/(a\/a**(-3)))\/a)*((a*a**0)\/a)**16 assuming a is positive.\nAnswer: a**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**31*h\/((h\/(h**(2\/45)*h*h))\/h))\/(h*h**(1\/18))**(-1\/6) assuming h is positive.\nAnswer: h**(18479\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 6*t**2 - 6*t + 4. Let w(f) = 3*f**2 + 3*f + 5. Let j be w(-1). Calculate d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2245 + 3898868?\nAnswer: 3898869.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -7*n. Let g(k) = 2 + 7 - 18 + 3 + 5 - 19*k. Give g(u(d)).\nAnswer: 133*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -88db (base 14) to base 7.\nAnswer: -126064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(26)\/sqrt(2) + -5.\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300 = -3*c + 7*c. Suppose -7*w = -2*w - c. Solve 0*k = 5*k - w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 936 = -33*s + 1122 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 6 = -3*l, 0 = -4*j - l + 9 + 1. Suppose -3*z + 27 = -j*f, 6*z + 5*f = 2*z + 18. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 27 = 1. Let p = w - -18. Solve -x - x - p = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/5*(-45)\/(-108)*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -417*b**2 - 7407*b + 2291553. Let m(h) = -185*h**2 - 3704*h + 1145776. Let s(c) = -9*m(c) + 4*z(c). Let s(x) = 0. Calculate x.\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -296268 by -3527.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + t. Let v(f) = 33*f**3 - 69*f**3 + 4*f - 1 + 37*f**3 + 3*f**2. Determine -v(x) + 4*z(x).\nAnswer: -x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1536 - -60501?\nAnswer: 58965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-2 + (2 - 4)). Let v be (-2)\/(-11) - 1\/22*f. Factor v + 3\/2*q**4 + 0*q**3 - 9\/2*q**2 + 3*q.\nAnswer: 3*q*(q - 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16801 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*h**2 - 2*h**2 + 5*h**2)*(-4 + 4 - 2).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 230a8 - 16a?\nAnswer: 22a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*c**4 - 4530736*c**3 + 9061494*c**2 - 5663438*c + 1132688 = 0. What is c?\nAnswer: -566344, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/14 + 1 + (-16140)\/(-189). Let v = -11093\/126 + h. What is the common denominator of 58\/7 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s*s*s**(8\/9))\/s)\/s)**(-6) assuming s is positive.\nAnswer: s**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h\/h**(-3\/4))\/(h\/(h*(h*h**(-5)*h)\/h)))**(-28))**(-2))**(-13) assuming h is positive.\nAnswer: h**910","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -455*m - 360 = -500*m. Let g be (-14)\/(-6) - 10\/30. Solve -m*u - 6 = g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 10*p + 10. Let n(q) = 2*q + 1 + 1 - 5*q + 3*q + 2*q. Determine -2*j(c) + 11*n(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -10*z**2 + 4*z + 7. Let l = 438 - 447. Let c(v) = 5*v**2 - 2*v - 3. Determine l*c(p) - 4*f(p).\nAnswer: -5*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1816 = -60*z - 1996 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 12:32 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 1236 = -3*c + 2038, l = -2. List the prime factors of (3\/(2\/c*5))\/1.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 56\/527?\nAnswer: 56\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.62026 kilometers in millimeters?\nAnswer: 27620260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5225, 9062, 12899?\n\"Answer: 3837*y + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**2 - 15*z + 10. Suppose -i - 12 = -2*i. Calculate the least common multiple of i and q(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15 + (-2)\/8 + 13\/4. Let w be (10\/3)\/(12\/z). Suppose -3*j = -2*m + 5*m - 21, -w*m - 65 = -5*j. Solve 3*l - 5*l = j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -5. Suppose -4*f - 15 = -f, 46 = 2*i - c*f. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 5  (c) -373  (d) 17335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 at least 50\/337321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a + 6 - 6)*(-3 + 0 - 9 + (-1 + 2 + 0)*(0 + 1 + 0)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/71179 or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k - 13*o - 3 = -10*o - 15, 4*k = -7*k + 5*o + 48 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 100110?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2. Let f(x) = -x**2 + 4*x - 1. Let g be f(3). Let y be h(g). Suppose -4*p + u = 4, -3*u - 4 = -16. Sort y, -5, p.\nAnswer: -5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.25 - -0.15. Let z = 7 - 5. Let k = z + -4. What is the nearest to v in 1\/7, k, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 775 is divided by 197.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 110366*c**2 - 2 + 110367*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50*i**4 + 14*i**2 + 52*i**4 + 34*i**5 - 212*i**2 wrt i?\nAnswer: 2040*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 17.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**4 + 11910*w**3 + 23799*w**2 - 35712*w.\nAnswer: 3*w*(w - 1)*(w + 3)*(w + 3968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 222685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76)\/266*7*(-135)\/(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aauiiasuussisusa. Give prob of picking 2 s and 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/1309 and -47\/1060052.\nAnswer: 11660572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k**2. Let u(h) = -h**2. Let c(l) = 5*u(l) + x(l). Let g(v) be the first derivative of 0*v**2 - 1\/3*v**3 - 2 + 0*v. What is c(g(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.23934 rounded to 3 decimal places?\nAnswer: -0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 538 + -536. Let l(q) be the third derivative of -7\/6*q**3 - 1\/6*q**4 + 0 + 0*q + 2*q**f. Find the first derivative of l(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/6*(2 + -6)*(-5208)\/224.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3, 2\/7083, -10, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from ttubfofouffbotn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4532, -18611, -42082, -74945, -117200, -168847?\nAnswer: -229886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*b = 24, 0*x - 2*b - 20 = 2*x. Let o be (-14 + 12)*(-542)\/x. Let l = -178 - o. Calculate the common denominator of 3\/5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s**2 + 4*s**2 + 0*s**2 + 0*s**2 - s + 1. Let f be c(2). Solve -f*m + 8 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -13 - 17. Let p(d) = 5*d**2 - 5*d + 8. Does 13 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33468 or 33911?\nAnswer: 33468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**2 - 483324*n - 2416695 = 0. What is n?\nAnswer: -5, 161113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*u - 19*u + r - 308, -2*u - 2*r - 608 = 0. Is -306 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 23*v**2 - 2*v. Calculate z(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*h**3 - 267*h**2 - 201*h + 51.\nAnswer: -3*(h + 1)*(h + 17)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -654 + 774. Let o = m + -119.61. What is the nearest to 3 in o, -0.5, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 13 - 8f?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2. Let r(l) = 6*l. Let y(b) = 1. Let k = 9 + -4. Let q(w) = -w - 5. Let u(o) = k*y(o) + q(o). Let n(a) = -r(a) - 5*u(a). What is n(f(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bsdobbdobd. Give prob of picking 1 o and 1 s.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66.8 + 77. Let c = 0.2 - q. Let y = c - -6. What is the nearest to 0 in -1, y, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12, -25, -38, -51, -64?\n\"Answer: -13*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*f + 205*f + 1404 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g**3 - 11*g - 3. What are the prime factors of p(-5)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1))**5*(m*m**(-2\/3)*m)**(-3\/11) assuming m is positive.\nAnswer: m**(-59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 6:22 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -501 - 399 = -15*l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138454 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50786 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-43)\/11 - (-10)\/(5 + (-6)\/2). Suppose r - 1 + 0 = 0. Suppose 3*w = r + 2. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3\/3 + 343*a**2 + 87720*a - 266256 = 0.\nAnswer: -516, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppqwtpqtwtqeptttet. Give prob of picking 3 w and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-10) + 2 + 88\/(-20). Let j be (-2 - k) + 7 + -5. Is 24 a factor of (-4 + 6)\/(j\/189) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 90*p**2 + 26*p - 113. Is l(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011001100000 (base 2) to base 3\nAnswer: -21212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012141506 to 6 dps.\nAnswer: 0.001214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*a - 3 = 0, -14 = -k - k - 2*a. Let j = -3 + k. Suppose r = 2*r - j. Let p(y) = y**3 - 2*y**2 - 2*y + 3. Determine p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - 36 + 11*f + 3*f + 48*f + 4*f - 4*f + 2*f + 5*f - 2*f - 2*f + (-4*f + 2*f + 0*f)*(1 + 4 - 3) + f + 2*f - 5*f.\nAnswer: 57*f - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -5*s**3\/6 - s**2 + 14*s. Let q(l) = 14*l + 5. What is 11*m(j) + 4*q(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1241 times -194?\nAnswer: -240754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 237 and 14698898?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-2 - (41 - -1)). Let m = w + -43. Suppose 7*b - 396 = m*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-92)\/(-10))\/((-160)\/(-75)) and 21\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -4*q**2 - 20*q + 24 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54912638 by -1034.\nAnswer: -53107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a + 54. Let v be o(0). Let g(r) = -108*r + 56*r + v*r. Let m(u) = -28*u - 16. Let x(i) = -9*i - 5. Let s(y) = 5*m(y) - 16*x(y). Give s(g(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 0.1, -0.5, -1.9, 398 in descending order.\nAnswer: 398, 0.1, -0.5, -1.9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-195)\/((-46)\/161 - (-5)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4630357944, -4630357943, -4630357942?\n\"Answer: u - 4630357945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8214 and 26346?\nAnswer: 36067674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29655920 and 13440.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (7 - (4 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -8*w**2 - w**3 + w**4 + 1 + 8*w**2. Let c(r) = -4*r**4 + r**3 + 10*r**2 - 1. Let n(m) = -c(m) - i(m). What is the third derivative of n(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 5*i - 2*i)*(-6*i**2 + 2*i**2 + 0*i**2)*(0 + 0 + 2 - 2 - 3 + 4 + (-1 + 4 + 0)*(-1 + 0 + 3) + 1 + 2 - 1 + 5 + 2 + 0 - 2).\nAnswer: -168*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*d*w**3 + 3*d*w - 685*d + 5*w**3 - 2*w**2 wrt w.\nAnswer: -54*d*w + 30*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4489033 is divided by 1122256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2696932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 562597.11 seconds?\nAnswer: 156.276975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) - 2*sqrt(204) - sqrt(204))*-6 + (-4*(sqrt(204) + sqrt(204)*1 - sqrt(204)) - sqrt(204)))\/(sqrt(75)*-1*-5 + 6*(sqrt(75) - -2*sqrt(75))).\nAnswer: 14*sqrt(17)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of 414*g**3 - 47*g**2 + 14*g + 1518. Find the second derivative of a(r) wrt r.\nAnswer: 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b + 7*b + 64 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (6\/24)\/((-894)\/1490)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*c**2 - 2*c**5 - 9*c**2 - 2*c**5 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10013677 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a + 24 = 6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x + 100. Let a be s(-21). Is a at least as big as -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {q: 1, n: 3, l: 2, v: 1, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(13) + (sqrt(52))**2 + -1 + 1.\nAnswer: sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4279140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 47334542945 + -0.5.\nAnswer: 47334542944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5798505*l**3 - 7*l**2 - 926*l - 296276?\nAnswer: -34791030*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.26 and 0.3.\nAnswer: -1.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 836 > 837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 548 + -276. Let a(z) = 12*z - 38. Let t be a(6). What is the highest common factor of i and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*q - 5 + 11 - 10 as a + v*q and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -225907785, -225907791, -225907809, -225907845, -225907905, -225907995, -225908121?\nAnswer: -225908289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 2:51 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 666119 = 26*u - 1810041. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 1\/3*r**2 - 34\/3*r = 0. Calculate r.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h + 3*h + h - 21*h + 11*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yycyv. Give prob of picking 1 v and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 0. Let t = 0.2 + 0. What is the nearest to q in t, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2230 - -2363. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1421035.38 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1319.195 rounded to the nearest integer?\nAnswer: -1319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -548.661236 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 11*j**2 - 4*j - 5. Let o(p) = -40 + 9*p**2 - 2*p + 38 - 4*p**2. What is 2*f(l) - 5*o(l)?\nAnswer: -3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-11) + 1284243\/583 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2996791 is divided by 586?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 108224 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**5\/3 - 14*d**4\/3 + 23*d**3\/3 + 14*d**2\/3 - 8*d = 0.\nAnswer: -1, 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -394*j + 23*j + 43*j + (3*j + 0*j - j)*(4 + 2 - 3) - j + j - j.\nAnswer: -323*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 39\/149  (b) -1\/3  (c) -0.0555\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2914235.4000035 + 2914236. Let x = -1 - -1.6. Let q = f - x. What is q rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**5\/20 + 7*o**4\/12 + 5*o**3\/6 + 2*o**2 - o. What is the lowest common multiple of -1*((3 - -1) + -5) and b(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6770\/427 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 61, 12, 0.15, 1\/80 in decreasing order.\nAnswer: 61, 12, 7, 0.15, 1\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5 - 21*v - 8 + 19 - 8 - 1. Let p(q) = 7*q + 1. Determine 8*p(d) + 3*u(d).\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -0.5, 1\/138, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 3:00 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-9 - 8) + (6 + -2 - 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -4.9. Let h = 6.5 + -7. Let l = 0.8 + h. Which is the closest to 5?  (a) g  (b) l  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 807.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19316 and 12287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12318778 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**2 + r**4 - 3*r**2 + (3*r**3 - 3*r**3 - r**3)*(38*r - 81*r + 14 + 42*r).\nAnswer: 2*r**4 - 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 222?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 930192164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1550049138*x + 11*x**2 - 4 - 1550049140*x + 4.\nAnswer: 11*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 11485*v + 80427. Give l(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a - e85?\nAnswer: -e8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 801*p**2 - 42*p. Let q(x) = -80*x**2 + 4*x. Determine 21*q(f) + 2*w(f).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 144831264 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o**2 - 9*o - 5. What are the prime factors of r(-4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 + -30. What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s + 172. Let l(u) = 4*u**2 + 27*u - 2. Let j be l(-8). Is 18 a factor of i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 48 - -851?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -2. Let d(v) = 10*v + 14. Let a be d(-1). Solve -a*p + 35 = -5*t, -2*p + 2 - 4 = r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2065511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54 - 57 + 166 - 55 - 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 + 9.06. Let o = -0.02 + -5.98. Let x = w + o. Do 4 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 8:35 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/6*(-144 - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 100.09?\nAnswer: 200.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*i**3*p + i**2*p**3 - 4*i**2*p*y - i*p**3 - 2*i*p**2*y + 20*i*y wrt i?\nAnswer: -192*i*p + 2*p**3 - 8*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 1. Suppose 4*o = o + 9. Give w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 11*t + 5. Let c = 57 - 53. Let i(q) = -5*q - 2. Calculate c*x(l) + 9*i(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1224, 2517, 3810, 5103, 6396, 7689?\nAnswer: 8982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 4:21 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -402.52 - -256.85. Let f = 145 + a. Let j = 0.17 + f. What is the second smallest value in 2\/5, j, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 515632 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 7*n + 50*n)*(-2*n + n**2 + 2 + 0 - 1).\nAnswer: 53*n**3 - 106*n**2 + 53*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + 28. Suppose 25 = -5*o, -4*o - b = -t - o. Let k(c) = c**2 + 34*c + 15. Calculate the remainder when t is divided by k(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n - 4*n + 0*n)*(-321 - 58*n + 321) in the form y*n + a + z*n**2 and give z.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(1573)*-3 + 3*sqrt(13) + -2 + 4)**2 + -2.\nAnswer: -120*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dtccc. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/13)\/(5275\/6330)\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d = -8 - 22. Suppose 2*i + 1 = -d*w, -8*i + 4*i - 29 = -3*w. Solve 27 = -w*q - 4*k, -3*k + 12 = -7*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 1323\/11  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 77481648 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 238 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 310217, 310173, 310129, 310085?\nAnswer: 310041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -410, 0.4, 1\/3, -9, 1\/4, 4.3 in decreasing order.\nAnswer: 4.3, 0.4, 1\/3, 1\/4, -9, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5461014 (base 10) to base 14\nAnswer: -a22246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = b, -i = -5*b + 2*b + 9. Let k be 4\/14*((-3)\/i - -6). Suppose 0*n = k*n - 12. Solve f - n*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/10 + 98\/70. Find the third derivative of v**t - 3*v**2 - 3*v**3 + 4*v**2 + 3*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -8 - 2. Suppose g - 5*b + 63 = 4*g, -h*g = -4*b - 68. Suppose 3*i - 4*f + g = i, 2*i + 4 = f. Solve -4*y - 16 = -i*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2780946 and 29106?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**3 + 8*j - 6. Let p(i) = 4*i**3 + 16*i - 13. Determine -13*g(l) + 6*p(l).\nAnswer: -2*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -627900 divided by -78\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 3 - 3)*(-4 + 3 - 5) - 1 + 1 - 2*k + 2*k - 3*k + 2*k + (-2*k + 2*k + 2*k)*(-3 + 2 - 1) + k - 26*k - k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -85.6, -1\/3, -13, 4 in decreasing order.\nAnswer: 4, -1\/3, -13, -85.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-1) - (0 - -3). Let i be j\/14 - (-69)\/21. Suppose 5*w - 2*w - 382 = -5*g, -5*g = -i*w - 388. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 3*f**2 + 2*f + 16. Calculate the remainder when i(-5) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 16 = -4*o. Solve 3*t - t - 2 = -o*z, t - 2*z = -14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16043 (base 10) in base 7?\nAnswer: -64526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -17. Suppose 0 = -i*x + 1246 + 1294. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151.92 rounded to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j + 3. Calculate s(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) -0.4  (b) -2\/3  (c) -1\/4  (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/655  (b) -2\/3  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + (sqrt(847) - -3*sqrt(847)) + 4 + (sqrt(567) - 2*sqrt(567) - sqrt(63)\/(sqrt(27)\/sqrt(3))))**2 + 1.\nAnswer: 360*sqrt(7) + 14192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -0.3, 0.2, 7, -0.2, -2834?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1940 = -3*n - 1721. Suppose l = 135 + n. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 + 4*1)*880\/32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9213 or 0.0038?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1631925 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*h = -1443, -2*a + 9*h + 1470 = 5*h. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4126913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -9*k**2 + 8*k - 98. Determine c(7).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 117 in decreasing order.\nAnswer: 117, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 878, 1753, 2628?\n\"Answer: 875*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2064, -8253, -18570, -33015, -51588, -74289?\nAnswer: -101118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -131 + 217. Let t = -88 + z. Let y(u) be the first derivative of 2*u**3\/3 - u**2 + u - 1. What is y(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.38 - 0.02. Let j be (-3)\/(-1)*(-3)\/3. Let t(n) = 2*n**2 + 5*n - 5. Let f be t(-3). What is the second biggest value in r, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7523188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 431 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: (-2)\/5 + 72\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1756 + -161. Let y = n - 1595.0005345. Round y to 5 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 2:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*r, 2*f - r - 31 - 38 = 0. Suppose 79 = 3*s + b, 4*s - 63 = -5*b + f. Let n = s - 5. Is 21 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.4, -3, -1, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1115, 1116, 1117, 1118?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 17707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2554246*w**4 - 2917035*w**2 wrt w?\nAnswer: 61301904*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - r = -27, -3 = 2*r + 3. Suppose 2*s - m - 4 - 3 = 0, -2*s = -2*m - o. What is the greatest common divisor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7533 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36543 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -16*k**3 + k**2 - 77*k - 151. Calculate the lowest common multiple of c(-2) and 33.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23600 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 371031108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 524.253 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, x: 4, s: 3, u: 3}. What is prob of sequence pu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y**3 + y**2 + y. Let b be v(-1). Let p be (b*1\/(-3))\/(1\/(-3)). What is the units digit of -6*((-185)\/15)\/(2\/p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, o: 2, z: 4, h: 5}. What is prob of picking 1 w and 2 h?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, t: 8, x: 7, d: 2, q: 2}. What is prob of picking 1 d and 2 q?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4585 (base 11) to base 4.\nAnswer: -1132012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 125, 245, 345, 419, 461?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/953667 and -43\/48906?\nAnswer: 1907334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1268553122.\nAnswer: 2, 233, 677, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*-2) + sqrt(114))*3 + sqrt(114)*1*-3)\/(-6*sqrt(216))*2.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2*q + 19 = -8*t, 3*t - 3*q + 15 = 0. Let k be (28\/(-8) + t)*2. Let x = 26 + k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 2  (c) 0.08  (d) 37  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2001 is divided by 953.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -v + 285. Let c(i) = i**3 + 7*i**2 - i - 5. Let p be c(-5). Let b = -12 + p. What is the greatest common factor of v and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3794*f - 3797*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 26  (b) -0.3  (c) 0.1798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o - 31 = -13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z + 23*z + 19*z.\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.1 - -4. Let z = 0.1 + b. What is the nearest to z in -2\/9, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28023251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -62 + 2145 + -2180?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 956 + 4927. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -746 + 1098. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.575495 kilometers to nanometers.\nAnswer: 575495000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 392 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -869, -1213, -1415, -1403, -1105?\n\"Answer: 12*p**3 - p**2 - 425*p - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**3 + o**2 + o. Let p be h(-1). Suppose -p*b + 4*b - 25 = 0. Calculate the highest common factor of b and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 1 - (0 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200001 (base 3) to base 15.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76289752 divided by -6398.\nAnswer: 11924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(19) + (sqrt(19) - (-3*sqrt(171))**2))*-4 + ((sqrt(2736) + 1 + sqrt(2736))**2 + sqrt(2736) + -4 - sqrt(2736)) + -3)*1.\nAnswer: 8*sqrt(19) + 41718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/13, -1, -185\/4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - -10. Suppose -a*p = -27*p - 10. What is the smallest common multiple of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3.763813 millennia?\nAnswer: 376.3813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o = r - 45, -153 = -3*r + 3*o. Let n = -22 - -30. What is the remainder when r\/28*(n - 1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -14*y + 17*y. Let w(v) = -v - 7. Determine w(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11112000 (base 3) in base 16?\nAnswer: -cde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -219000 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 998. Let r(j) = -j + 2993. What is -2*r(v) + 7*z(v)?\nAnswer: 2*v + 1000","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 220 = 260. Let k be o\/(-12)*(5\/10 + 1). Let s(h) = 0*h - 3*h + 1 + 2*h. Give s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -818 - 277 = -15*p. Suppose -p + 33 = 8*l. Sort -11, l, -1, 0 in ascending order.\nAnswer: -11, l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-30)\/42)\/(1695\/(-3164)). Factor 0 - i*s**3 - 2\/9*s**5 + 8\/9*s**4 + 8\/9*s**2 - 2\/9*s.\nAnswer: -2*s*(s - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 165 and 2138433.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3.5. Let f = 0.54 + z. Let d = f - -0.36. Which is the third smallest value?  (a) -3  (b) d  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.96 + 1.06. What is r rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 a factor of 22977220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 3 = 7*x, -p + 3*x + 2 = 0. Solve p*b - 45 = -5*f, -4*b + 2 = -2*b - 2*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 37*l - 880 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213275*s + 81*s**2 - 24*s**2 - 213231*s.\nAnswer: 57*s**2 + 44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 810 is divided by 120?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 211291, 422583, 633879, 845179, 1056483, 1267791, 1479103?\nAnswer: 1690419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -4*z + 11. Let w(a) = -21*a + 55. Let p(b) = -11*c(b) + 2*w(b). Let h = 11 - 5. Let g(o) = o - 6. Calculate h*p(q) - 11*g(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 17*h - 36. Give l(-7).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**3 + 10*g**2 + 19*g**2 - 6*g**2 - 3*g**3.\nAnswer: 2*g**3 + 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vavxvxvaalaxalv. What is prob of sequence aval?\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 20*i**2 + 11*i - 2. Let w(d) = 10*d**2 + 5*d - 1. Give -2*g(t) + 5*w(t).\nAnswer: 10*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 9 = 74*s - 76*s, -4*s = -x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 52*r = 56*r + 68, r + 62 = 5*d. Calculate the least common multiple of d and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 106.1 from 25116664.2.\nAnswer: 25116558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + 462*u**2 - 3961*u - 94466. Calculate z(-470).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - -1 - (-4 + 1)) + -19?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -17*s**3 + 2*s**2 + 58*s - 61. What is z(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2696*n**2*y**3 - 29*n**2 - 2*n*y - 14*y wrt y?\nAnswer: 16176*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1169480?\nAnswer: 2, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 4. Suppose -a*b - 24 = -9. Let n(z) = 3*z**2 - 15*z + 9. Let v(g) = -g**2 + 7*g - 5. Let j(q) = -2*n(q) - 5*v(q). Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n + 39380. Let b(x) = -2*x**2. What is j(b(c))?\nAnswer: -6*c**2 + 39380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 228\/13  (c) 19  (d) 1\/4  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.2 + 0.8. Suppose 156*i + 45 + 111 = 0. Which is the third smallest value?  (a) -1\/5  (b) 0.11  (c) i  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10566656 - 232520909\/22. Let t = g + 2478. What is the common denominator of t and -115\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 10 - (6 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8450\/208 - 3\/(-8). Differentiate -20*p + 133 + 18*p + 25*p + v*p + 52*p with respect to p.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*a**4 + 57*a**3 + 63*a**2 + 27*a + 3.\nAnswer: 3*(a + 1)**3*(6*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4300022 (base 5) in base 7?\nAnswer: -416404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)*(m\/(m*((m*m\/(m*m**(2\/21))*m)\/m*m)\/m*m))\/m)\/(((m\/m**(-4))\/m)\/(m*m**(-1)*m*m))*(m**(1\/2)\/(m**(-3\/10)*m))**14 assuming m is positive.\nAnswer: m**(-1019\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (3 - 5) + 5 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -1\/3*x**4 + 0 + x**2 + 1\/20*x**5 - 7\/6*x**3 + x. Let q be j(6). What is the highest common divisor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from hwfwh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9087 = -22*b + 439. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = f + b + 24, -4*b = -12. Let g be ((-4)\/(-4))\/(2\/(-18)). Let o = g - f. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 716463 + 746311 - 314852 = -13625*n - 146453 for n.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**4 + 503*s**3 - 1499*s**2 - 503*s + 1500 = 0.\nAnswer: -1, 1, 3, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7884*i**3 - 212*i + 7885*i**3 - 2435 + 211*i to g*i**3 + a*i + m*i**2 + w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-5)\/2)\/(1\/(-638)). Let k be (9\/(-2))\/(s\/390). Let f = k + 82\/29. What is the common denominator of 62\/3 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -40 - -2a3203?\nAnswer: 2a3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18 - 3) + 17\/(136\/(-48)). Solve 3*a + 5 = 5*f, -7*f + i*f - 2 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 139772733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - 99209007736008.\nAnswer: -99209007736007.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4576 = 18*i - 34*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*y, 2471 = -5*i + 4*y - 1039. Is -705 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 34*y - 248. Let t(o) = -41*o + 249. Give 5*j(b) + 4*t(b).\nAnswer: 6*b - 244","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 9 + -9 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -695 + 863. Differentiate 254*q**3 - 185 + 446 - j wrt q.\nAnswer: 762*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4.72, -0.1, 13\/20, 8 in ascending order.\nAnswer: -4.72, -0.4, -0.1, 13\/20, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 2. Let p be a(0). Suppose -x - 6 = -p. Let j(y) = -5*y + 1. What is the units digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16905\/8 + -2101. What is the common denominator of d and 46\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1496167.666 rounded to the nearest 1000?\nAnswer: 1496000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 528036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 48421 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 43*d**3 + 559*d**2 - 22*d - 355. Calculate n(-13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 - 2*d**2 + 0*d**2)*(0 - 6 + 4)*(3 - 8*d + 6*d - 2)*(2 + 0 - 5)*(-2*d + 3 - 3).\nAnswer: -120*d**4 + 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 0.1  (c) 3  (d) -33\/5  (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -157.1836631 to two decimal places.\nAnswer: -157.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 2. Suppose -3*v - 4*x - x = -6, -2*v + 23 = -3*x. Let z be i(v). Let w = 1331\/5 - 267. What is the third smallest value in z, -3, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 2597*s**5\/20 + s**4\/6 - s**3\/6 - 81*s. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -20\/871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 + 56*y\/3.\nAnswer: -y*(y - 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vnpvpsac.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -25*x + 3. What is the tens digit of u(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15966 and 6?\nAnswer: 15966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(12\/(-4))\/((-16)\/(-8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - 3\/(12\/(-13)). Suppose 5*m - 18 = 2*k, 12 = 5*m - 3*k - 5. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**2 - 21 + 12 - 2*t**2 + 6 - 2*t to the form y*t + g + a*t**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -2*d**2 + 2*d + 5. Let a be ((-18)\/(-6))\/(4\/92). Let j = -71 + a. Give y(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*k**2 - 2*k**2 + 34*k**3 - 5*k**2.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from oooyyooo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nbbnnb. What is prob of sequence nbbn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 19987 = 3*z, -963*z + 959*z + 3*b = -26647. Is 99 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 2*m - 4, 6*m = 3*r - 13 + 46 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/(12*(-11)\/594)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -9*t + 94. Let r be x(12). Let y be ((-2)\/7 + (-1278)\/r)*1. What is the greatest common divisor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 1 = h, -4*h + 3 = 5*f - 3 - 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/5)*d*d*d*(d*d**(1\/5)*d*d)\/d*d*d)\/(d**(-3)\/d**(-6)) assuming d is positive.\nAnswer: d**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -15, 33, -1\/2, -2, -4, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -35*x - 539. Determine w(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7089262\/13 + 12087129778\/22165. Let c = -2\/341 + s. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -286, -567, -864, -1183, -1530, -1911, -2332?\nAnswer: -2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1231\/561 - 9\/187. Find the common denominator of z and -49\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00148295 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k - 1. Let l(b) be the second derivative of -b**3\/3 - b**2 + 7*b. Let q(p) = p**3 + 4*p**2 + 2*p + 3. Let d be q(-3). What is d*l(u) - 13*w(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**4 - 80 + 2133*l**2 + 2*l + l**3 - 13 - 2132*l**2 + 6 to the form s*l**4 + v*l**2 + x + f*l + z*l**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*s - 6*s - 3*t, 0 = t + 1. Solve -3*o + 5*o + 18 = -s*y, y - 6 = 2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11330 (base 5) in base 11?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1872 and 3111316.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2262 and 14146983.\nAnswer: 367821558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (8 - -3) + -25 + (4 - (-2 + 3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22894*s - 38*s**2 + 22884*s + 7*s**2.\nAnswer: -31*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 41807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3030 (base 4) in base 10?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -27395.076 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)\/sqrt(20) - sqrt(13))**2 + (sqrt(130)\/(1*sqrt(10)))**2)*5 + ((sqrt(1573)*1 + sqrt(1573))*5 - (-4 + 1*sqrt(1573)))**2.\nAnswer: 792*sqrt(13) + 510041\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 132973*q + 17286486. What is k(-130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/12)*p**(1\/6))**(-2\/27) assuming p is positive.\nAnswer: p**(-13\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 38155463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 532 is divided by (786\/9)\/(11*(-14)\/(-462)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(((-207)\/42 + 5)*2) - -6. Suppose y = 2*y + 3. Sort y, r, 22 in ascending order.\nAnswer: y, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1377 - 6.1323. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -0.5  (c) 11  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 182437708 divided by 4.\nAnswer: 45609427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -372*h + 4591758 + 164500842 = 0. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = -3*g. Let u(o) = 1 + 6*o - g. Let b(f) be the third derivative of f**4\/24 - 9*f**2. Give u(b(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -0.94.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -13 - 9276441*b - 7 + 11 - 13. Let y be f(-14). Suppose 8*p - y = 51729848. Round p to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2259504 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 0.3, 0.5, 1\/3, 0.2 in decreasing order.\nAnswer: 0.5, 1\/3, 0.3, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -270, -273, -278, -285, -294, -305?\n\"Answer: -z**2 - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -101971*t**4 + 229433?\nAnswer: -407884*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 - 21*p + 19*p + 3*p)*(4*p - 5*p + 0*p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16\/3 + -52\/9. Let y be 9*30\/(-72) + 24\/6. Put y, u, -0.4 in increasing order.\nAnswer: u, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 2*u - 109. Calculate the greatest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.30027752+1139.9183\nAnswer: 1140.21857752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 6*v**2 + 4*v - 5. Let j(n) = -2*n + 4. Let m be j(4). Let o be (10\/3)\/(m\/6). Give s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -168.7 + 159.61. Let t = -0.09 - g. Suppose -2*y - y + 2*s - 9 = 0, -2*y = 4*s + 6. Put y, -2\/7, t in decreasing order.\nAnswer: t, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 37*t**2 - t. Let f(d) = -d**2 + 9*d - 11. Let g be f(5). Let n = g + -10. What is the units digit of w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 174968 + (0 - -1) - 0. Let s = -1212051 + o. Let n = s - -267082. What is n rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b - 1. Let c(z) = z**2 + 3*z + 3. Suppose -x + w + 4 = -3*x, 3*x - 8 = 2*w. Suppose -4*n - 5*d + 4 = 0, 0 = 2*d - x*d. Give n*c(p) + 2*u(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27502.3483 - 27500. Let k = -2.36 + s. Round k to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*z = -0*z - 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 560872 and 52.\nAnswer: 560872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20\/(-14) + 2)\/1. Let d = -427 - -429. Which is the nearest to -4?  (a) -5  (b) d  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -3*z + 46. Let v = 16 - z. Suppose -b = 3*u + 2, 4*u - 3*u = -4*b + 47. What is the remainder when b is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of w**2\/2 + w - 16. Calculate i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2208517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 30958797 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 203 - 711 + 902*n - 233 with respect to n.\nAnswer: 902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -14*b - 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 812946 - 812946 - 4942*s + 592*s - 11207*s + (1 - 1 + 2*s)*(2 - 1 + 1) - 3 + 3*s + 3.\nAnswer: -15550*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*i + 185 = -i, -w + 2*i = -193. What is the greatest common factor of w and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-36)*-1292)\/((-4)\/(-6)). Let j(y) = 34*y - 11. Let p be j(6). Let q = v - p. What is the remainder when q is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**11*c\/(c*(c*c\/(c\/(c*c**(-1\/9))))\/c*c*c)*c*c)\/(c**(-4\/5)*c**(2\/21)))**(1\/3) assuming c is positive.\nAnswer: c**(3722\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)\/h)**(1\/93)\/(h*h*h**(2\/3))**(-11) assuming h is positive.\nAnswer: h**(10909\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*t**3 - 2*t + 2*t - 250*t**3.\nAnswer: -373*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-16384)\/(-26) + 1 - (-77)\/(46046\/(-92)) is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vkpiwvivkiivxkv. Give prob of picking 1 w and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(0 + -5*(4 + (sqrt(66)*-2)\/sqrt(6) + sqrt(11) + sqrt(22)\/sqrt(2)*-2)))**2*-5.\nAnswer: -230000 + 48000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 75 + -78.1. Let d = r - -3. Let g = -3 + 2.5. What is the biggest value in -4, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 424 + -442 + 0 + 37 - -15.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 908 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 823273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -0*n + 2*n, 2*n = 2*y - 876. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 7) in base 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q, -w = -3*q - 3 + 1. Suppose -3*f + 20 = 4*s + 2, 0 = 5*f - 4*s + 2. Suppose x**2 + 3*x**3 + w - f*x**3 - 2 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10140049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-2 + sqrt(125))*6)**2 + -5.\nAnswer: -720*sqrt(5) + 4637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 divided by -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 38 = j. Suppose -10 = 9*n + j. What is the smallest common multiple of (-2)\/(-2) + n + 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -304712\/3 - -2119367\/21. Let t = -647 - r. Do t and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 236.7 + -237. Which is smaller: h or 44?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 4*p + 4*p)*(0 - 2 + 3) + (-1 + 2 + 2)*(4*p + 7*p + 2*p).\nAnswer: 41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -2. Let y = 738 + -694. Let t(n) = -45*n + 6*n**2 + 3*n**3 - 8*n**2 + y*n. Determine t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*o + o + 3*t, 3*o = t - 1. Let c be (-6)\/(3\/o - 2). What is z in -18\/5*z**3 + 9\/5*z + 9\/5*z**5 - 3\/5*z**4 + c*z**2 - 3\/5 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/9*t**2 + 196 - 28\/3*t.\nAnswer: (t - 42)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-318)\/(-4) - -4 - 5)*10?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 236\/7 - (-16)\/56. Suppose n = -i - i. Let o = 24 + i. Solve 2 = -3*u - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -0*p - 72. Let c be -1 + (-4)\/p*-3. Let h = 11 + -7. What is the third smallest value in -1, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q = 5*r + 35, 5*r + 7 = 2*q. What is the common denominator of 0\/2 + 99\/2 and r + 7 - (-119)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k - 6. Let g be q(4). Suppose g*v = -v. Suppose 36 = 2*h - v*a + a, -3*h + 53 = a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-3 - -7) - -61. Let u be (0 - -1) + w + -9. Suppose 3*q = 5*y + 98, -q + 4*y - 9 + u = 0. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, b: 1, e: 5}. What is prob of sequence bmbm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -26 greater than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25719011 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) 1  (c) 2.3  (d) -0.2  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 494939680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 616, 1218, 1820?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - 311?\nAnswer: -310.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2, -0.5, -255\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -86 + 40 + 9 + -3 + 2 + -23.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njpnpjzg. Give prob of picking 1 j and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1245340 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 23. Let r(n) = 8. Let p be -3 + 22\/2 + -2. Let g = 2 - p. Let f(i) = g*a(i) - 11*r(i). Differentiate f(y) with respect to y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**4\/6 + o**3\/6 + 523*o**2. Let p(k) = -k - 1. Determine 2*d(y) + 6*p(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12755 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 40 = -u, u - s - 2*s + 60 = 0. Let b = -40 - u. Let w(x) = -3 + x + 4*x + 12*x**2 - 13*x**2 + 0. Give w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48015.\nAnswer: 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -22204990 divided by -5?\nAnswer: 4440998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 times -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1336?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-21)\/4 + 5)*(-23 - -15). Solve s*q + 48 = -14*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, 0.1, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 84 = 66. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -4*m + 5. Let k be (-1)\/3 + (-8)\/(-6). Let l(f) = f + 4 + 0*f + k + 5. Let p be l(-7). Let d(n) = -2*n + 2. What is p*i(a) - 7*d(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i. Let n(r) = 7*r + 0*r + 5*r. Let j(o) = 6*n(o) + 34*w(o). Let d(m) = 2*m**2. Give d(j(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1547*i + 40788 = 1135*i for i.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128 + 1 + -14386 + 14328.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.20250044 rounded to four dps?\nAnswer: -5.2025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d + 34*d**3 - d + 28*d**3.\nAnswer: 62*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 149.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of p**2\/2 + 26*p + 42. What is the remainder when m(0) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4101584 = 2*h + 1137584. Round h to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 41 and 1547.3.\nAnswer: 63439.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*n - 118, 4*l = -2*n - 0*n + 228. Let r = l - 42. Calculate the remainder when r is divided by (-58)\/(-7) - (-4)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 326042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -37 - 8. Let s = o + -4. Suppose 0 = -2*a - 8, 0*a = p + 4*a + 11. What is the highest common factor of p and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2352*r - 4685*r - 143 = 8*m - 2338*r - 23, -4*m + 12 = 2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129 - 32 - p - 97 - p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 116647 greater than 116648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, 3, -6, -3, 1 in descending order.\nAnswer: 4, 3, 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 165 = -3*z. Let s = z - 23. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/5))**(-11)*(j*j**2)\/j**(-12) assuming j is positive.\nAnswer: j**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**4 + 76*y**3 + 440*y**2 - 7200*y = 0.\nAnswer: -10, 0, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*q - 2*q + 74 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 1:33 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r + 1. Let j(l) = -5*l**2 + 8*l - 8. Let g(u) = u**2. Let z(b) = 6*g(b) + j(b). Let p(s) = -40*f(s) - 5*z(s). Let w(c) = 6*c**2. Determine w(p(t)).\nAnswer: 150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-2)*(2 + -12). Suppose -20 = u*c - 5. Let z(w) be the third derivative of w**5\/60 + 7*w**4\/24 + w**3\/2 + 3*w**2. Determine z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/11 + 5769\/33. Suppose -3*h + 12 = -0. Suppose h*u + u - f = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d - 4. Let c be u(2). Solve c*i - 6 = 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 6*m**2 + 5*m + 14. What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2. Suppose 0 = -n - 3*h - i + 13, -3*h = 0. Suppose -2*d - 3*d = -k - 13, 0 = d - 5*k + 7. What is the remainder when n is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2. Let w = h + 53. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -2. Let h = 5 - g. Let j = 25 - 25.2. Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 e, and 1 x when three letters picked without replacement from ejetxeeeteejjtjeeeee?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 169326 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 1:03 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3339 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**5\/3 - 1540*q**4\/3 - 18349*q**3\/6 - 9899*q**2\/6 + 12601*q\/3 - 3820\/3 = 0. Calculate q.\nAnswer: -764, -5, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001384564041 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 1101102021?\nAnswer: 1101102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/30*(-65 + -70).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -912 by -45.\nAnswer: 304\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x**2 + 23. Let q(t) = 3*t**2 + 12. Let y(z) = -2*a(z) + 5*q(z). Let b(l) = -4*l + 5. Let j be b(3). List the prime factors of y(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 12*g**2 + 16836*g + 5905227 = 0.\nAnswer: -1403\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/191093 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 3*w**2 + 3*w - 3. Let s be d(-4). Let p(j) = 5*j**2. Let l be p(s). Let t(n) = -n**2 - n. Let x be t(0). Sort x, l, 2.\nAnswer: x, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3975 divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -313126823, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4840308 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 10*d**2 + 8. Let v(f) = 19*f**2 + 15. Let c(q) = -5*g(q) + 3*v(q). Differentiate c(u) with respect to u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 6*x - 2. Let t be q(-6). Let c be (-20)\/(-4) + 0\/t. Factor h**2 + 5 - c.\nAnswer: h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 241321, 965268, 2171845, 3861052?\n\"Answer: 241315*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2533128 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 882268515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 40524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*o. Let n = -2.9626 + -0.0374. Which is the closest to n?  (a) 0.2  (b) 1  (c) o  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -2*w**3\/27 - 362*w**2\/3 - 2170*w\/9 + 5706. Factor x(m).\nAnswer: -2*(m + 1)*(m + 1085)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15670 <= 15672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6952, -13897, -20838, -27775, -34708, -41637?\n\"Answer: 2*x**2 - 6951*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 254 and -74.\nAnswer: -18796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t. Let a(h) = -3*h + 84. Let n be a(-12). Let j(r) = -24 - 19*r + 24 - n*r. Calculate j(g(b)).\nAnswer: 278*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -0.4. Let i = 0.5 + 1.5. Let t = i + 1. What is the second biggest value in t, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.7 and -0.2623988.\nAnswer: 0.97087556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -83513*-0.5\nAnswer: 41756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 673  (b) 4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1973292 divided by -6?\nAnswer: 328882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -561 + 2782\/5. Let o = i - 89\/10. Let l be (1 - (-232)\/(-24))*((-26)\/(-4) - 5). Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of 3*l**4\/4 - 3*l**2\/2 + 15. Factor q(x).\nAnswer: 3*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r + 1. Suppose -12 = 2*q + q. Suppose 9*a = 10*a + 6. Let u be 12\/9 + q\/a. What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*w - 3*y, 3*w - 8*w + 5*y = -30. Suppose 0 = w*l - 14 - 6. What is the greatest common divisor of 55 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + (sqrt(162)*-2 - sqrt(162)) + sqrt(162))\/(4*sqrt(12)\/sqrt(2)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -64, -38\/3, -4, -59\/93?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2038594 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 34, 3, 1371878?\nAnswer: 1371878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjuguhs. What is prob of sequence js?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 15778 = -4*z, -6916 = -3*b - z + 2548. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 1252028\nAnswer: -500811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vrkhrhvkrrrahhhrkhr. Give prob of sequence hvak.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2. Let w(p) = -6952*p**2 + 18*p. Give w(k(x)).\nAnswer: -6952*x**4 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 3*n. Let d = -0.5 + 0.1. Which is the smallest value?  (a) 3  (b) d  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.03 - -1.97. Let t = -3382\/7875 + 1\/1125. Which is the closest to m?  (a) 5  (b) t  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d = -6*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 338 - 318 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(2\/3)*t**(-1))\/(t**(1\/4))**(-4\/39))\/((t**(-1\/6)\/(t\/t**4))\/(t**(2\/7)*t*t\/(t*t\/(t**(-3\/7)\/t)))) assuming t is positive.\nAnswer: t**(-1793\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -50*h**2 + 2*h + 3*h**4 - h**3 + 2 - 3 + 58*h**2 + 0*h**3 as u*h**2 + s*h**3 + f + d*h + w*h**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9755233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + j - 4*j)*(3 + 0 + 1 + (-4 + 2 + 1)*(-5 + 3 + 1)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 10\/229421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 2) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 376\/(-32) + (-1443)\/444.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -72, -2, -39, -0.3, -3\/5 in ascending order.\nAnswer: -72, -39, -2, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42 - -65) + (-63 - -1) - 7.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 4*i + 6. Solve i*u + 4*r = 0, -7*u + 2*u - 2*r = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1600, -3175, -4578, -5671, -6316, -6375, -5710, -4183?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f + 8. Let r(i) = -4*i - 7. Suppose -10*x + 19*x - 24 = 3*x. Give x*k(d) + 5*r(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x - 125*x**2 - 114*x**2 + 247*x**2 + 3*x.\nAnswer: 8*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1314843 is divided by 1314836.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -11  (c) 4.2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 0 - -12) + (-601 - -592) - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9*1 - (3 - 1). Solve 5*w + 3 = -o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 0, -524, -496 in decreasing order.\nAnswer: 17, 0, -496, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 34 = -2*y, -i = -4*y - 0*i + 78. Is y <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.4 + -3. Is g less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 8*v - 5 - 2322*v**2 + 1154*v**2 + 1167*v**2. Let n be ((-1)\/(-3) + 1)*6. What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -10*o + 1. Let h be b(3). Let i = 33 + h. Let f be 1\/(-4)*2\/2. Put i, f, -11 in descending order.\nAnswer: i, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.16, -10, -1\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2808229 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 817029, 2.\nAnswer: 2, 5, 817029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a36c1 - -3e?\nAnswer: -a3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1065)\/(-105) - -2 - 10 - 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(117) - (sqrt(117)*3 + sqrt(117))) + (sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117)*3*-3))))\/(-5*sqrt(225)*-2*-6) + 0.\nAnswer: -sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 347*w**2 + 21936*w + 4750. Give m(-63).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.25 + 0.05. Let p = 26.82 + -27. Let o = -0.12 + p. Which is the closest to -1?  (a) 2\/7  (b) m  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.371518 weeks to minutes.\nAnswer: 94464.90144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x - 125963. Let o(r) = 3*r**2. Determine z(o(u)).\nAnswer: -6*u**2 - 125963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 5*m + 48. Suppose 0 = -22*d + 18*d + m. 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: Let s(r) = r**3 - 11*r**2 - 22*r - 2. Is s(13) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 411, 305, 197, 87, -25, -139, -255?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -9*d. Let v be m(-10). Let b = -53 + v. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 374955714 to the nearest integer?\nAnswer: 19364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5273772098.\nAnswer: 2, 7, 257, 209393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 133, 159, 133, 37?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04954633 rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 0, -3*y = -3*l - 2*y + 12. Let m(p) = -3*p. Let a(t) = -13*t. Let k(q) = l*a(q) - 18*m(q). Let j(h) = 11*h**2. What is j(k(f))?\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14b + 2?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1198698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 642229 is divided by 753?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 AM and 5:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 125 = -2*c - 118, -3*c = -4*a - 18. Solve 5 - 16 = -t + 4*y, c*t = -5*y - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 136677 and 37704.\nAnswer: 1093416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -168*y**2 + 2*y - 380?\nAnswer: -336*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132 + 109 + -4 + -1 - -11 - -100.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a (base 12) to base 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/161 and 5\/483.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -167, -285, -437, -641, -915, -1277, -1745, -2337?\nAnswer: -3071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -3. Suppose i = -4 + r. Let g(s) = s**2 - 2*s - 5. Let a be g(i). Are a and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8 times -0.4?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 30*o**2 + 29 - 8 + 30*o - 9*o. Let n = -2432 + 2411. Let k(b) = 6*b**2 + 4*b + 4. Let g(i) = n*k(i) + 4*m(i). Let j(p) = 3*p**2. Give g(j(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 76*y - 2. Let s(h) = 153*h - 2. Let i(d) = 13*f(d) - 6*s(d). Does 30 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -40*a**3 + 36*a**2 + 36*a. Suppose 4*l = q + 10, -3*l + 5*l - 8 = 2*q. Let d(g) = -g**3 + g**2 + g. Determine l*m(b) - 72*d(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 2*o + 8. Let k(g) = -3*g - o*g**2 + g**3 - 2 - 2 + 0*g - g. Suppose -3*p = 4*n - 26, 2*n - 5*n + 5*p + 5 = 0. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -3, -1.65, -0.382, -1, -2\/13, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {b: 3, k: 2, m: 3, o: 6, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*s + 16, -12 = -r - r + 3*s. Let w = 13\/12 + -755\/708. Let v = -116\/3363 + w. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 0. Let z = k + 1.5. What is the second smallest value in 0.3, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1232484 + 2464934 - 1232473 + 5*c.\nAnswer: 5*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 212834548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 1 - -2 - (28 + -32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9522 + 109?\nAnswer: -9415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6279 + 0?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1175.1715 * -0.4.\nAnswer: 470.0686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -212 divided by -6.\nAnswer: 106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qmcwwqwqwlqnnnqmnm. What is prob of picking 1 w, 1 q, and 1 l?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 4*k**2 - 3*k + 1. Let m be r(-3). Let h be -4*((-21)\/12 + m). Suppose 4 + 8 = h*a. Let w(o) = -o**2 + 6*o - 2. Calculate w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((0 + sqrt(171))*-2 - sqrt(171))**2.\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1222 + 1106514?\nAnswer: 1105262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4669484 is divided by 407.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-4 + (4 - (4 + -3)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 28*((-15)\/10 - 0). Let c = f - -57. Suppose -12*t + c*t - 45 = 0. Calculate the remainder when 28 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2 + 2*r. Let k(y) = 16*y**2 - 18*y - 35. Let h(w) = 18*c(w) + 2*k(w). Differentiate h(p) with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -45?  (a) -4  (b) -1\/14  (c) -3  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0.19  (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 3*v**3 + 157*v - 81*v - 76*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 65 + 1486*o**2 - 1524*o**2)*(-2*o + 3 + 3*o - 2) + (-4*o + 0*o + 2*o)*(-o**2 + 0*o**2 + 0*o**2).\nAnswer: -36*o**3 - 38*o**2 + 68*o + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -669, -1445, -2197, -2931, -3653, -4369, -5085?\nAnswer: -5807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 + 63*m - 60.\nAnswer: -3*(m - 20)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 302*m**2 + 455*m**2 - 555 + 20*m**2 + 47*m**2 + 122*m**2 wrt m?\nAnswer: 1892*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p - 341 = -260 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -126 divided by 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) -2.2  (c) -2  (d) -15302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -257, 60?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-2) + (-32651)\/(-4580). Let l = h + -41\/229. Let d = 61657\/22 - 2802. Find the common denominator of l and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -842264*w**2. Let r(s) = 29*s. Give r(z(q)).\nAnswer: -24425656*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7661 = -269*p - 15405 + 2353 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 17 = 13. Let l = -20 + g. Put -3, l, -11, 3 in increasing order.\nAnswer: -11, l, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 30*j - 34. Let a be x(3). What is the greatest common divisor of a and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) + (sqrt(891) - (sqrt(891) - sqrt(891)*4))*-3 + sqrt(891) - sqrt(891) - (-5*sqrt(891)*-4 + sqrt(891)))**2 + -4.\nAnswer: 912380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) + (-3 + sqrt(405) + sqrt(405) - sqrt(405)))*5.\nAnswer: -15 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 28 = y, 0*y + y = -3. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 28 = w, 5*c - 10 = -9*w + 14*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 11 = 4*r, 1880*q = 1877*q - r + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) -0.45  (c) -28652\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 2 = 2*v. Let z(y) = y**2 + 5*y - 6. Let d be z(v). Let t be (3\/d)\/((-1)\/2). What is the third smallest value in 0.4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-7)\/((-49)\/5). Put 0.3, -12\/7, o in decreasing order.\nAnswer: 0.3, o, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 78\/36 - 1\/6. Suppose d*r = -7*r. Sort -2\/9, r, -2\/35.\nAnswer: -2\/9, -2\/35, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 40 = v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 796\/(-199)*(6\/16)\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -8 - (98 + -214 + 85)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 688, 2, -5, -1 in ascending order.\nAnswer: -5, -1, 2, 688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**2 - 2*z**4 + 0*z**3 - z - z**2 - 3*z**3 to j*z**4 + q*z**3 + p*z**2 + y + m*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1555448 (base 10) to base 16.\nAnswer: 17bbf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7848 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12799\/(-76794))\/(((-14)\/1068)\/7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 4*m**2 + m**2 + 0*m**2 + (-3*m + m - m)*(0*m - 4*m + 2*m))*(-m - 3*m + 5*m) to g + d*m + r*m**3 + b*m**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 16*z**2 + 2*z - 2. Let h(n) = 5*n**3 - 63*n**2 + 9*n - 8. Calculate 9*a(y) - 2*h(y).\nAnswer: -y**3 - 18*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (82 - 82 + 4*b**2)*(-7 + 7 - 8*b**2) + 2*b**4 + 0 - 2 - 4*b**4 to the form h*b + f*b**3 + x + r*b**4 + t*b**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d + 5. Let s be a(-4). Let t(b) = 2*b**2 + 1. What is the remainder when 74 is divided by t(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -12370468?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*j + 8 = 35, 0 = -2*j - 4. Solve 5*w + 4*w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -3*r**3 - 30*r**2 - 71*r + 38. Let z(c) = c**3 + 11*c**2 + 24*c - 12. Let m(h) = -6*q(h) - 17*z(h). Let y be m(4). Is -5\/63 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-15)\/135 + (-184262)\/117)*342\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-1*(2 - 3)). Which is the smallest value?  (a) -0.3  (b) q  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -653*x**3 + 903.\nAnswer: -1959*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -2*(6*(sqrt(72) + 2) + (sqrt(72) - -2*sqrt(72) - sqrt(72))*1 + -4).\nAnswer: -96*sqrt(2) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 e, and 1 f when four letters picked without replacement from xxeefxxff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10 + 12\/5. Let z(p) = 3*p - 1. Let s(u) = 4*u. Let j(b) = 4*s(b) - 6*z(b). Let c be j(4). Sort -5, c, m.\nAnswer: -5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 278789.00125 - 278979. Let a = b - -190. Round a to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000156 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3670 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 857*h - 2. Let p(r) = 856*r - 1. Let s(y) = -4*p(y) + 3*x(y). Is s(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -9*a**2 - 106*a + 21. What is d(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -44*k**3 + k**2 - 2. Let f be 1\/(-1 + 0\/(-2)). Does 5 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**6)\/(u\/(u*u**(-2\/5))*u*u))**(-9\/2)\/((u\/u**(-4))**(4\/21))**(-41) assuming u is positive.\nAnswer: u**(3853\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1106*m**5*r**2 - m**4*r - 27*m**2*r**2 - 5*m**2 wrt m.\nAnswer: -66360*m**2*r**2 - 24*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.99321327 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 388, 822, 1278, 1750, 2232, 2718, 3202?\nAnswer: 3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (42\/(-16))\/(-7)*(-4)\/6. What is the nearest to o in 2\/11, 2, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*i**2*j*z + 2*i**2*j - 2381*i**2 - 31*i*j*z - i*z - 580*i wrt i?\nAnswer: -8*j*z + 4*j - 4762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 12*j - 5. Let d(i) = 4*i**3 + i**2 + 4*i - 3. Let p be d(1). Let y(x) = -13*x + 6. Give p*v(l) + 5*y(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*v**2 - 2*v**2 - 2*v**2 + 4*v**3 + 6*v**3 as s*v**2 + f*v + p + y*v**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 11. Let r be c(8). Factor -o**3 - o + 3*o**r - 2*o**3 + 4*o**2 - 2 + 3*o**3.\nAnswer: (o + 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**3 - s**2 + s - 1. Let p be n(1). Let d = -38 - -35. Let k be (-72)\/(-16)*(-2)\/d. Put -3, k, p in decreasing order.\nAnswer: k, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-260)\/(-26)*(-96)\/180.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 122805, 244672, 366525, 488358, 610165, 731940?\n\"Answer: -y**3 - y**2 + 121877*y + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 1. Suppose -5*t + 5*p + 12 + 18 = 0, -5*t + p + 22 = 0. Suppose 0 = -4*a + 3*a + 3. Solve -a*z + t*k = -0*z - 19, 0 = -c*z - k - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7618507 millilitres to litres.\nAnswer: 0.0007618507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6624*0.1.\nAnswer: 662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -g + 156, -744 = -5*g - s - 0*s. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w**3 - 2*w - 7. Let c(q) = 6*q**3 + 2*q + 6. Let l be 4\/7 - (-3856)\/112. Suppose l*i = 33*i + 8. Give i*r(b) + 5*c(b).\nAnswer: 2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 17  (b) 0.41  (c) -4  (d) -101  (e) 1\/2  (f) 0  (g) 0.05\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1230131 - 2?\nAnswer: -1230133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 294085019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/6*o**3 + 1\/6 - 1\/2*o + 1\/2*o**2.\nAnswer: -(o - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 6:43 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 68470394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 146051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 243924?\nAnswer: 2, 3, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 2 + 10. Suppose 0 = -4*f, -2*j - j - n*f = -33. Suppose 2*b = -5*x + 3*b + j, 4*x - 8 = b. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 48 = 3*r. Let o = -70 - -77. Calculate the remainder when r is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/6 and 195\/24*2\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/6 - (2 + (-732)\/9). Suppose h + 299 = 5*x - 2*x, -4*h + u = x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72, -91, -110, -129, -148?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -364 - -660. Let b = 335 + r. List the prime factors of b.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2620 + 2619.999998653. What is x rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -425 + 425.1. Is -0.281 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 10050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-63)\/28)*1\/28.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 9:03 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 202859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 652 + 2*u - 742 - 2*u - 25*u**2. Let z(v) = -3*v. Give k(z(x)).\nAnswer: 150*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131 (base 4) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 128 = 4*g, -g - 2*g = 4*o - 106. Does 36 divide (-4)\/10 - 33\/g*-164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 times 1.1?\nAnswer: -50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g. Let s(w) = -238*w**2. Give s(j(f)).\nAnswer: -2142*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 3, x: 1, h: 3, i: 2, p: 9, j: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.65 rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-4 - -5 - (-2 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(2*v**5 - 3*v**5 - 2*v**5).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12133*s**5 + s**4 + 807*s**2 - 2*s - 53544019?\nAnswer: 242660*s**3 + 12*s**2 + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/460528 and 57\/41516.\nAnswer: 44671216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-1920)*32)\/(60\/(-50))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000010 (base 2) in base 13?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11566 (base 9) in base 4?\nAnswer: 1321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52063 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:10 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, g: 5, d: 2, b: 1, p: 2, z: 4}. Give prob of sequence bjg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -96145480109387 from 0.1.\nAnswer: 96145480109387.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = 5*n + 5*n. Let g be 1 - -4 - (n + 10). Solve g*q - 15 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485587651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1656173.4 months to years.\nAnswer: 138014.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 2\/3)*3. Let r(d) be the second derivative of -d**5\/20 + d**4\/6 + 5*d**3\/6 - d**2 + 17*d + 9. Calculate r(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -32. What is the remainder when 9 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 10*n**3 - n + 1. Let m be u(1). Suppose -19 = 4*t + 25. Let g = t - -15. What is the greatest common factor of m and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*q + 75392 = 324*q + 705*q for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -23*t**3 + 48*t + 98. What is the remainder when 441 is divided by b(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, x: 1}. Give prob of sequence vvxv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -t + 4. Suppose -4*j = -4*k + 112 - 424, k + 5 = 0. Suppose 23 = -t*v + j. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -816 = 19*m - 23*m. What is the greatest common divisor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.45 + 0.05. Let k be 792\/(-36) + 27 - (-76)\/(-16). Which is the closest to k?  (a) v  (b) 0.5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5356000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 471 - 471. Let b(k) = -24*k + 165. Calculate the remainder when b(j) is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 2\/(-6)*-3*12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 348 - 349.53. Let l = -1.5153 - b. Round l to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/((p\/(p**(-21)*p))\/p*p)*((((p*p\/p**(14\/3))\/p)\/p)\/p)\/p*p**(-22)*p**(-4\/5) assuming p is positive.\nAnswer: p**(-742\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-2) - (-15)\/6. Suppose -c = -2*n + 4, -4*c + 5*n - 8 - x = 0. Differentiate c + q - 1 - 3*q with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1572, 1741, 1910, 2079, 2248, 2417?\n\"Answer: 169*t + 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z - 13. Let b(r) = 3*r**2. What is d(b(i))?\nAnswer: 12*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 432257*g + 2*g**3 - 432257*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -4, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 138 - 112. Calculate the highest common factor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1119035?\nAnswer: 5, 79, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -650b98 + -5?\nAnswer: -650ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*h**2\/7 - 5130*h + 71796\/7.\nAnswer: 6*(h - 5983)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -183172.1976 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5241 is divided by 164?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24*(-2 - -5)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 6*l + 5. Let q be f(-6). Let g = -5 + q. Suppose 5*d + g*d = 25. Let s(b) = b + 6. What is s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m + 201*y - 191*y - 16, -m = 4*y - 1 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1489a1 (base 13) to base 7\nAnswer: 4201422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 126 and 32204102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -10212011?\nAnswer: -10212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f - 40 = r, 2*r + 14 = -f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -4, 5, 1, 243, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q + 10. Let m be y(-3). Let j(r) = -r**3 + r. Let h be j(m). Let o(b) = 2*b + 4*b**2 - 3 + 5 + h*b - 6*b - b**3. Determine o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -5 - 6 - -4 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -185 + 169.1. Let y = -0.2472 + -15.7528. Let r = c - y. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4298 - 2802. Suppose -1497*z = -i*z - 78. Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 278 = -532. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 67392806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -5*y**3 - 8833885*y**2 + 17667785*y - 8833895 = 0.\nAnswer: -1766779, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44)\/(198\/18) + (248\/(-11))\/(-4)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-0.061718\nAnswer: 0.061718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(11))**2*-1 - (-2*sqrt(11) + -1).\nAnswer: -43 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8849 - 223*a**3 + 13*a**3 + 4*a - 4374 - 4338 wrt a.\nAnswer: -630*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -91*j**2 + 5*j - 2. Let a(f) = -92*f**2 + 4*f - 1. Let q(c) = 4*a(c) - 3*n(c). Let s be q(-1). What are the prime factors of ((-2)\/2)\/(2\/s)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 1. Let f be a - 0*2\/6. Let p be f*1\/(2\/3). Sort -0.3, 3, p in descending order.\nAnswer: 3, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + sqrt(13) - sqrt(13)) + 3)**2 + 0.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + -1)\/(-3) + -4. Let h(n) = -n - 4. Let d be h(v). Solve -2*u + d*u + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94714 - 152468 = 862*z for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -579 + 599. Is (-536)\/a*595\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + p - 4 = 0. Sort -8, p, 2 in increasing order.\nAnswer: -8, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 45. Let w = a + 38. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jggfgjggnjfnnng. Give prob of picking 2 j, 1 g, and 1 n.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 56076*v**2 + 19*v + 14. Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 11:56 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -7*k**2 - 3*k. Let z(c) = -3*c + 3. Let m be z(2). Let t(q) = -8*q**2 - 4*q. Determine m*t(o) + 4*g(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 3, 16\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -17 times 0.5\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3126*c**2 - 34389*c - 88. Give m(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10d0c (base 15) in base 9?\nAnswer: -81423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 2*d + 5*h, -4*d - h = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + (-1 + 2*sqrt(1216)*-1 + 2)**2)*6*6.\nAnswer: -5760*sqrt(19) + 876060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x)**0*((x**(-1\/2)\/x*x)\/x)\/x*x*x\/(x*x\/(x**(-2\/3)\/x*x*x*x))*(x**6*x\/x**(-1\/7))**33 assuming x is positive.\nAnswer: x**(9851\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 + 9366226*l**3.\nAnswer: 2*l**3*(l + 4683113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -28*y**5 + 5952*y**4 + 40092*y**3 - 144800*y**2 - 520128*y + 336384 = 0.\nAnswer: -8, -3, 4\/7, 4, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 2) + -4 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 - 2*n**2 + 0*n**2)*((2*n - 3 + 3)*(3 - 3 + 2*n) + (2 - 2 + 2)*(3*n**2 + 0*n**2 - n**2))*(1 + 20 + 20).\nAnswer: -328*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {n: 6, h: 1, z: 2, t: 4, c: 1, s: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 6:55 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-231)\/1001 - 215\/(-650)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -a + 9. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q + 3. Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187*w + 4620 = 197*w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*a - 0*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1691 - -793. Let s = 240 - m. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*a + 144 + 24 = 47*a. Solve -a*x + 4 = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196*u - 748*u = 206*u - 6064 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (0 - 0)) + (-64 + -16 - -116) - -9.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 523488 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 6 + 371*j - 297*j + 4*j - 4*j - j + (2*j - 2*j - 2*j)*(-4 + 1 + 2) + 0 + 2*j + 0.\nAnswer: 77*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2183*y + 2086*y = 4114*y + 1085 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of 5\/12*t**4 + 0*t**2 + 0*t**3 + 0 + 2*t - 3\/20*t**5. Find the third derivative of u(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 84 + 61. Let h(d) = 5*d**3 - 3*d**2 - 2*d + 2. Let y be h(-2). Let u = q - y. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*v - 6*v - 8115. Let j = 938 - v. List the prime factors of j.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -20*c - 38. Let t be y(-2). Factor 0 - 2\/5*j**t + 2\/5*j**4 + 2\/5*j - 2\/5*j**3.\nAnswer: 2*j*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in 5\/7, 6, -0.2, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 - -178714?\nAnswer: 178706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2 - 3 + 4*l + 3*l - 4*l. Let n(c) be the third derivative of c**4\/24 - 4*c**2. Give -a(o) + 5*n(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 168 = -0*s + 3*s, -5*s + 10 = 0. Let k = -83 - x. What is the smallest common multiple of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + x**2 + x + 3. Let f be m(0). Find the second derivative of 11*t**f - 10*t**3 + t + t**3 + 0*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -8993*n. Let h(s) be the second derivative of -s**3\/3 - 669*s - 2. Determine q(h(r)).\nAnswer: 17986*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3*a**2 + a**2 + 3*a - 1 + 2 + 2*a**3 in the form s*a**2 + h*a**3 + o + m*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-132)\/(-13) - ((-6248)\/286 - -22). Solve -14*w = s*w + 48 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 207*r - 330*r - 123 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + 5. Suppose -5*v + j - 1 = 0. Solve 0 = -v*x + 5*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/14)\/(((-19)\/(494\/39))\/(-15))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1587 and 4416.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*h = -34*h - 3, 4 = -2*k - 4*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 98 = -1308*a + 1312*a, 55 = -2*a + 5*z for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-35 - 2*q**2 + 4 + 76)*((1 + 0 + 1)*(3 + 20 - 5) + 6 - 3 - 2) to the form b*q**2 + x*q + w and give w.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 40 = 145*y - 141*y, -b = 2. Let l(z) = z**3 - 10*z**2 - 13*z + 14. Calculate l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from llllzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 26830300.2 to the nearest 1000.\nAnswer: 26830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus 947013570?\nAnswer: 947013566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3*25\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - a**2 - 11*a - 2. Suppose -3*d + w = -9 - 28, 0 = -2*w - 8. Calculate the remainder when z(5) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8177.5 - -3\nAnswer: -8174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*r + 8, -5*q = r - 10 - 10. Solve 3*c - 32 = q*t, -3*t + 2*t = 5*c - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/5*-5*5\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -35  (b) -109  (c) -4\/11  (d) 4  (e) -7.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**5)\/(r*r\/(r\/r**(-20))*r))**30)**(-49) assuming r is positive.\nAnswer: r**(-36750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzdzydgyggyydzgdgbz. What is prob of picking 1 g and 1 b?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/49, -1688, -1\/4, -5, 5?\nAnswer: -1688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.2, -27, -5 in descending order.\nAnswer: 2, 0.2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 17 = -r + 2, 5*c + 3*r = -79. Let t(i) = 4*i**2 - 5*i**2 - 9 - 9*i - 15*i. List the prime factors of t(c).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(2))**2*2 - (sqrt(350)\/sqrt(7) + sqrt(2)).\nAnswer: -6*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-24)*(-3)\/6*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 9:56 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 divided by -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 188286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*u - 20 = -22*u. What is the least common multiple of ((-6)\/4)\/(6\/(-56)) and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-66)\/(-165) - 108\/(-5). Solve 0 = -d + 4*s + g, -12*d - 3*s = -8*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-108)\/20*(-290)\/(-174).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7449?\nAnswer: 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92 + 36 - -87) + 2 + 29.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 33*w**2 - 168*w + 5583. Calculate r(33).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1552, -3138, -4722, -6304, -7884, -9462?\n\"Answer: c**2 - 1589*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -33568, -55823, -78078, -100333, -122588?\n\"Answer: -22255*j - 11313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4 + 0. Let t = -414 - -405. What is the smallest value in t, 4, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*m**2 + 2 - 2 - 33*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 9905 = -u - 268, 2*s + 4*u = 19274. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by 8473.\nAnswer: 33\/8473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44445 divided by -1.\nAnswer: -44445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u**2 + 1. Let y be a(1). Let j be (2\/(-4))\/(1855\/(-618) - y). Let n = 443 - j. Calculate the remainder when n is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40142 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**3 + g**2 + 1. Determine j(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 21 = -2*s. Let k = -25 + 11. Let o = s - k. Solve o*m + 2 - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 24) + -5 + 25\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or 10\/8463?\nAnswer: 10\/8463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5420 - -5433. Solve b = n, -2*n + s = 4*b - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -125553 + 1345544?\nAnswer: 1215551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 6407*k - 6407*k - 2*k**2.\nAnswer: -2*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6093, 6077, 6079, 6099, 6137?\n\"Answer: 9*s**2 - 43*s + 6127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17377858 to the power of 1\/2, to the nearest integer?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -45056\nAnswer: 45053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-1) - 27\/(-3). Suppose -c = -5*o - m, -3*c = -2*o - o - 15. Suppose 4*g = -c - 12. Put 5, g, 4 in increasing order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3948 and 50?\nAnswer: 197400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**5\/2 + 5127*k**4\/2 + 632727*k**3\/2 + 25422945*k**2\/2 + 192844236*k + 980013762 = 0.\nAnswer: -46, -13, 1827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 25 + 15. Suppose 2*f + r = -16. Let o be (-1)\/f*36\/(-9). Which is the fourth biggest value?  (a) -4  (b) 3\/7  (c) 1\/4  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 13. Let w be s(-7). Suppose -3*d = w, 0 + 6 = t - 5*d. Let g be (2 - -43)\/((-2)\/t). Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from seuuc. What is prob of sequence seuc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67 + 2 = 13*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -17715450 divided by 1327\nAnswer: -13350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -367207 + 734391 + 2*j**3 - 367184.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (324\/8)\/3*108\/486?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**3 + 6*y**2 + 9894*y + 58719. What is t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40 + -35. Let f be 0\/(1\/((-1)\/2)). Suppose 0 = 3*n - 2*g - o, f*g + 6 = 4*n - 3*g. Solve 2*x - 1 = n*s + 6*x, x = 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-421)\/(-2947))\/((-4)\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 4, 15.8, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**2 - 2*y**2 + y**2 + (7 - 5 + 0)*((0*y**2 + y**2 + 3*y**2)*(-1 + 3 + 0) - 18*y - 2*y**2 + 18*y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 715034.3g?\nAnswer: 715034300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4*t + 22 = 0. Let u = -4 + t. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4587, 3576, 2565, 1554, 543?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {v: 2, j: 3, t: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 632*u - 161*u - 33441 = 0 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 2\/5*t - 2\/5*t**2 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**5\/4 - 3*c**4\/4 - 1677*c**3\/4 + 30431*c**2\/4 - 13956*c + 6768 = 0.\nAnswer: -47, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -11661*q**2. Let v(r) = -2*r**2. Calculate v(o(y)).\nAnswer: -271957842*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 41, -15, -75, -139, -207, -279?\n\"Answer: -2*i**2 - 50*i + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 50 = -f + 5*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) 4\/85  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**7\/420 - 3*l**6\/80 - l**5\/10 + 5*l**4\/3 + 16*l**3 - 183*l**2. Find d, given that h(d) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ywyyyw. Give prob of picking 1 w and 3 y.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 210175713 to the power of 1\/2, to the nearest integer?\nAnswer: 14497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 5 = -p, 0 = f + 3*p + p + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-95))\/((-30)\/570)*4\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p\/p**(2\/19)*p))\/p*p)\/p**(-1\/3)*(p**3\/p*p)**(-5) assuming p is positive.\nAnswer: p**(-944\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003051231447 to seven dps.\nAnswer: 0.0030512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 7*c + 9*c. Let h(k) be the third derivative of c + 22*k**2 + 0*k + 0*k**3 + 23\/24*k**4. Let t(o) = o. What is h(t(d))?\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4070153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - r**2 + r - 25. Let n be z(5). Suppose -5*a + n = 4*t, 0*a - 2*t - 38 = -4*a. Solve 4*h - 8 - a = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1475379 or -1475375?\nAnswer: -1475379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.58 - -5.58. What is the closest to -3\/5 in -1\/7, 3, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -979 by -106.\nAnswer: 979\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/4 - 3884\/(-18). Let c be (-11)\/1815*(-219335)\/6. Let l = q - c. Calculate the common denominator of -21\/22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3034 - -8691. Calculate the highest common factor of k and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 + -38. Let y(t) = 22*t**2 - 4*t - 7. Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*g - 5*j + 78 = 0, 0 = -2*g - 5*j - 38. Let d = -27 - g. Solve d*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 3)*(-5*j + 1 - 1) + (2*j + 0*j - j)*(1 + 0 + 1) + 16*j - 33*j + 20*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-6\/13)*t*t**(-2\/5))\/(t**1*t)**(-2\/25))**(1\/2) assuming t is positive.\nAnswer: t**(97\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1300.98749543 - -1301.0465. Let l = s - 0.059. What is l rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**3 - 571*v**2 + 65. Let o(w) = -w**3 - 287*w**2 + 29. Determine -4*b(q) + 9*o(q).\nAnswer: 3*q**3 - 299*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 438*v**2 - 885*v - 444.\nAnswer: 3*(v - 148)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 (base 10) in base 8?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 7:22 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-7))\/(8\/112). Suppose -s*z + 117 = -z. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -237.55.\nAnswer: 235.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*g = 48, -4*g = -2*g. Let d be (-4)\/t + 206\/3. Suppose -o + 2*p + 3*p + 3 = 0, -5*o = -4*p + d. Is o less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**(3\/10)*f**(-2\/15)\/f)**(13\/6)\/(f*f**(-3\/5)\/f*f\/f**(4\/5))**48 assuming f is positive.\nAnswer: f**(3677\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1002.49*-3\nAnswer: -3007.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5269*q = -3680*q + 131887 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 850, 3096, 5344, 7594, 9846?\nAnswer: 12100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*a + 64. Suppose o - 5*x + a = 3*o, 0 = -5*o + 3*x + 80. Suppose 0 = -j + w + 5, -j + o = w + 5. Solve 4*m + 0*m = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5359\/(-483) + (-2 - -13)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 728*r - 69. Is l(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s. Let b(t) = -16685331*t. Give b(w(r)).\nAnswer: -83426655*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/4380 and 17\/60.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5920735571 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -24393 (base 10) to base 13\nAnswer: -b145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -779 + 778.9. What is the nearest to z in -21, 4, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98911.\nAnswer: 98911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -13530345?\nAnswer: -13530344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 + -14. Suppose -3*x - u = -3*z + 36, -5*x = 25. Is 19 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -527*n**4\/12 - 24*n**2 - 21*n. Let b(q) = 3*q**2. Determine z(b(x)).\nAnswer: -3162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3050, -6117, -9198, -12299, -15426?\n\"Answer: -v**3 - v**2 - 3057*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(5\/((-75)\/(-6))). Suppose -3*k + 5*o + 148 = -168, -2*k + t*o = -204. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5069820 and 12083071?\nAnswer: 724984260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4*h = -4*g + 11624, -5824 = -g - 2*h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-365)\/(-2)*(-9)\/(-30)*48\/36?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, p: 1, w: 2, f: 1, c: 4}. What is prob of picking 1 f and 2 z?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3123)\/(-47192)*(-4)\/3)\/((-6)\/(-20))?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1180*n**2 + 1180*n**2 - 2*n**3 + 82.\nAnswer: -2*n**3 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 344335042 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -65 in 12, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 1.741?\nAnswer: 6.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -90*b**3*m**4*v + 2*b**3*m**2 + v wrt m.\nAnswer: -2160*b**3*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 + 26*w - 26*w)*(4*w + 2*w + 3*w)*(-2 + 2 + 2*w**2)*(3 + 1 - 3).\nAnswer: 54*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from izo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1335051 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.1 + 3.1. Let l = i + -12. Which is bigger: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62869714.\nAnswer: 2, 397, 79181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 74375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h + 0*h - 2*h + (-4 + 4 - 2)*(2*h + 4 - 4) - 2 + 2 + 2*h + 385*h - 655*h - 420*h as k + w*h and give w.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -6*l + 10. Let m(x) = x - 2. Let y(k) = -15*m(k) - 3*v(k). Let a(o) = -7*o**2 - 2. Give a(y(d)).\nAnswer: -63*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 11:20 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ujzz when four letters picked without replacement from uvuhzzhjhzzvjjhohuzu.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - ((-7)\/(-21) - (-56)\/(-6)). Suppose -l - 4*l = -s. What is the closest to -1.1 in -4\/3, -0.1, l, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4\/3 + 701*b**3 - 1145848*b**2\/3.\nAnswer: b**2*(b - 449)*(b + 2552)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1 + (-20)\/11)\/((-741)\/(-988)))\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 - 15 + 6*j**5 + (2*j**2 - j + j)*(-2*j**3 - 3*j**3 + 3*j**3) + j**5 + 2*j**3 - 2*j**3 + (-30*j + 0*j - 22*j)*(-6*j**4 + 2*j**4 + 2*j**4).\nAnswer: 107*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 7*n**2. Let y be h(7). Let z = -12 + 17. Solve -1\/2*u**z + 3\/2*u**4 - 3\/2*u**3 + 1\/2*u**2 + 0 + y*u = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4308, 7078, 9746, 12312, 14776, 17138?\nAnswer: 19398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489 is divided by 116?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7267975\/582 - 12488. Find the common denominator of -89\/24 and m.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 + 0*j**2 + j**2 + (-2 + 2 + 2*j)*(-j - 2*j + j) to the form t + b*j**2 + f*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 353.95 + -133.7. Let y = 217 - c. Sort 2, -1\/2, y, -4.\nAnswer: -4, y, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -1.33  (b) 0.5  (c) -1\/4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/2*(-2)\/(-2). Let z = c + 1. Suppose -4 = j - 2*j - 4*m, 2*j - 8 = -4*m. Solve -2*h + 2 = -z*h + 2*v, j*v = 5*h + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t\/(t\/((t**(-1\/37)\/t)\/t))))*t**(-42))**(-4\/7) assuming t is positive.\nAnswer: t**(6516\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6 + 120\/(-9). Let s(c) = 11 + 36*c - 4 - 69*c + 20*c - c**2. What is s(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2.1  (b) 0.2  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12 - 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -27  (b) -1  (c) -2\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - j - 2. Factor -275*u**3 + u**j + 276*u**3 + 5*u**5 - 6*u**5 - u**4.\nAnswer: -u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 AM and 2:24 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 - n**3 - n**2)*(0 + 2 + 0)*(4 - 5 - 2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 329 - 7*i - 329 + 2*i + 2*i. Let o(c) = 9*c. Let b = 3 + 8. Determine b*s(g) + 4*o(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0327 and 9.4?\nAnswer: -0.30738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(0 - -3)*4. Let b be (-54)\/w - 3\/(-6). Suppose 335 = b*x - p, 2*p + p = 5*x - 345. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91 + 107. Calculate the greatest common divisor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-288))\/(1\/32)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1057*b**5 - 157*b**5 + 22*b**5)*(-2 + 3 - 2) - 3*b**5 + 2*b**5 + 2*b**5.\nAnswer: -921*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 494 + 304 = -133*l. Let x(p) = 3*p + p**3 - 2*p**3 - 10*p**2 + 4*p**2 - 6. Calculate x(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1112982 is divided by 102.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -3. Let o = -2549.1 + 2549. Which is the closest to f?  (a) 0.4  (b) -1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*p**4 - 146*p - 3234*p**3 + 17*p**4 + 3237*p**3 to the form u + s*p + i*p**2 + h*p**4 + w*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 508977446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-22)*((-11)\/(-3))\/((-432)\/324)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 5 + -3 + -4 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*x = 64, q - 9*x - 43 = -7*x. Let s = 85 + q. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61948768 and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*a*y**3 + 87640*a*y**2 + 3*y**3 + y**2 - 2*y - 989 wrt a.\nAnswer: -6*y**3 + 87640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*n**3 - 27863 + 27863.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235225.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8304 by -2076.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-3)\/2)\/(1\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25226\/17 or -3?\nAnswer: -25226\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 1070 = -254. Let u be (h\/10)\/(19\/(-95)). Find the common denominator of 4\/(-32) + u\/(-48) and -2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -78 + 781\/10. Sort 0.2, -0.4, l in ascending order.\nAnswer: -0.4, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -34*p**5\/5 - 31*p - 37. What is the derivative of g(s) wrt s?\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**4\/11 - 430*t**3\/11 - 4134*t**2\/11 - 6986*t\/11 - 3280\/11 = 0.\nAnswer: -205, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -214631712?\nAnswer: -214631713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -372, -125, 294, 885, 1648, 2583, 3690?\n\"Answer: 86*x**2 - 11*x - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = j - 46, -3*j - 5 - 11 = 2*m. Let d = m + 17. Suppose 1 - 278 = -5*i - 3*y, 0 = -d*y + 12. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - 3 - -17 - ((1 - 2) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of l**4\/24 - l**3\/3 + 12*l**2. Let d be 8\/6 - (-2)\/3. Let x be f(d). Sort x, -5, 4 in descending order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132980219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*r - 32. Let g be (-40)\/(-3)*(6804\/16)\/r. Suppose i - g = -8*i. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-472)\/16 + 3\/6. Let w = s + 14. Is 1195\/1*(-9)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 6:20 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 4*w = 12. Let h(g) = 2 + 6*g + 7*g + 7 + 6 - 8*g. Let s be h(w). 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 the value of 4*1\/12*-1*3*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oarr when four letters picked without replacement from rrorrrrrobrba.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30110\/14 + 376\/1316?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.7 less than or equal to 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 4:16 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 472 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3460*x. Let t(g) = 99*g. Give t(a(u)).\nAnswer: 342540*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2283110 rounded to the nearest one thousand?\nAnswer: -2283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 21. Let i = l + 42. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 6*h**3 + 9*h**2 - 5*h + 5. Let a(x) = x**3 - x**2 - x + 1. Let v(i) = -6*i**3 - 2*i**2 + 6*i - 6. Let l(n) = -3*a(n) - v(n). What is 5*l(c) - 3*m(c)?\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/4)*t)\/t**(-3\/2)*(t**(-1\/4))**(-2\/59) assuming t is positive.\nAnswer: t**(533\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.952364 decades?\nAnswer: 0.7952364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3185 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 432412 at least as big as 432411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-7)*c)**(-2\/79))**7 assuming c is positive.\nAnswer: c**(84\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -4*c - 5*n, -c + n - 1 = -5. Solve c = -4*r - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1176 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: Let x(f) = 2. Let d(g) = -g**3 - 11*g**2 + 32*g + 21. Let l(s) = d(s) - 4*x(s). Does 3 divide l(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 9. Suppose -239*z = 874*z - 2273 + 47. Put -3, -29, z, l in decreasing order.\nAnswer: z, -3, l, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qumlumlmmelm. Give prob of sequence uuel.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -33. Let b(r) = -r + 100. Let s(x) = 2*b(x) + 7*y(x). Let i be s(-5). Let g be 6\/(-9)*i - -2. Is 16 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -13*x**3 + 6*x**2 - x - 5. Calculate a(-3).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 555452299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000712705328 rounded to six decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 603362, 2413030, 5429140, 9651692, 15080686, 21716122?\nAnswer: 29558000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3158 = -362. Let r = c + -239. Does 13 divide r\/18 - 2\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - (-1 + -5)) + (-411 - -425) + -1 + 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2257 > -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.4 and 95929094.04898.\nAnswer: 95929095.44898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33 by -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-4\/7)*v**(-2) assuming v is positive.\nAnswer: v**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -404?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4822179 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 -156*v + 17 = -151*v + p, v + 3*p = 23. What is the fourth smallest value in 0.08, 5, -2, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 25 = -5*z, 0 = 2*z + 3*v + 8 - 3. Let i(q) = -q - 4. Let x be i(z). Let k = 40 + -161\/4. Which is the nearest to x?  (a) k  (b) 2\/3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1788*g + 106*g**2 + 1013*g + 778*g - 2*g**3.\nAnswer: -2*g**3 + 106*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**2\/5 + 4*t + 78\/5 = 0. What is t?\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*23\/6 + (-2)\/6. Let z = 58 - n. Let y = 13 - 7. Calculate the greatest common divisor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(72\/(-27)))\/((-2)\/(32\/(-12)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1531446 divided by 42.\nAnswer: 36463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 times -8\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t*t**(-1\/5)))\/t**9*(t*t*t**(-4)*t)\/t*(t\/t**(-1\/13))\/t)**(-1\/40))**(3\/16) assuming t is positive.\nAnswer: t**(2091\/41600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 32 - -8?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-9) + (-8)\/(-6))*5. Suppose -l*i + p = -15035, 4*i + 3*p = 7453 + 4575. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24840599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 53, 62, 71, 80, 89?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(1*sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3*j*j\/j**(2\/15))\/((j\/(j\/(j\/j**(-6\/5))))\/j**(-3\/5)) assuming j is positive.\nAnswer: j**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423*v + 1068 = -1791 - 3909 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = -3*i + 3*z, 12*i + 111 = 16*i + z. Let m = 837 - 506. Let n = 639 - m. Calculate the highest common factor of i and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -310 + 312. Let r = -0.52 + 0.52. What is the third smallest value in 0.4, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27013.73 rounded to the nearest 100?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 2*o - 1 = 0, 5*v + o - 6 = -10*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2006 - -1978 - (-1 + -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -1423552143?\nAnswer: -1423552150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m. Let d be 2\/(-14) - 20\/7. What is i(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 1:20 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/d**(-2))*d**(-1\/3)\/d*d*d**4\/d**(-2\/5))**(-6\/11))**23 assuming d is positive.\nAnswer: d**(-1426\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffyfsfysfr. What is prob of sequence syyr?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3 - x**3 - 2 + (x - 3*x + 0*x)*(-2 + x**2 + 2) + 9*x**3 + 2*x**3 - x**3 + x**3 - 5*x**3 + 2*x**3 to a*x + d*x**2 + i + h*x**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3441 is divided by 816?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32077219 is divided by 321?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*g = 0. Suppose -4*a = -3*f - 56, 5*a + 6 - 1 = g. Let n = -17 - f. Solve n = w + 3*l, 0 = -2*w + 6*w + l + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, n: 10}. Give prob of picking 2 d and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = 3*o - 4*v - 14, 5*o + v + 157 = 0. Let s(m) = 29*m - 1. Let y be s(-1). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.157998 months to millennia.\nAnswer: 0.0005131665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(92\/6 - 7). Solve q = 5*c + o - 5, 4*c + 45 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27005 is divided by 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 0*a - 4*a + a. Let m = 6 + -2. Let p(n) = m*n + 6*n - 3*n - 5*n. Give p(k(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -0.9  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, 2\/25, -6?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x + 3*j - 25, 2*x - 76*j - 32 = -80*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 5, 11, 0.4, 984, 4, 24 in decreasing order.\nAnswer: 984, 24, 11, 5, 4, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -29, -79, -99, -77, -1, 141?\n\"Answer: 2*m**3 + 3*m**2 - 73*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -38239 or -38245?\nAnswer: -38239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17474 - -17474. Let i = 3 - 6. What is the closest to c in -0.3, 1.5, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q + 19. Give a(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 105 = 9. Calculate the greatest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + -83. Find the common denominator of (1\/(w\/(-786)))\/(4\/6) and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368902598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -52682 divided by -71?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -7*u - 3. Let f(i) = -36*i - 16. Let y(p) = -3*f(p) + 16*o(p). Let z(b) = 3*b. Determine z(y(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of u**3\/2 - 2*u**2 - 5*u - 3. Let b(h) be the first derivative of v(h). What is the first derivative of b(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 1\/2, -1, 46\/7, -3.3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 75 and 33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-2904)\/16)\/(-11))\/(6\/8). What is the greatest common divisor of 143 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -152133, 11\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 311132?\nAnswer: 2, 77783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 2 + (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 192*g**2 - 66*g - 78*g**3 - 30*g - 4*g**4 + 13*g**4 = 0?\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40844 + 32138*k - 13612 + 38147*k - 13621 - 13611)*(5 - 2 - 1).\nAnswer: 140570*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9437 = 5*n - 2*v - 5949, 5*v - 10 = 0. Let k = n - 917. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3456787057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1088*0.1.\nAnswer: -0.01088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9, 2, -4, -180 in decreasing order.\nAnswer: 2, -4, -5, -9, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1\/5, -4, -3, -3.0975 in increasing order.\nAnswer: -4, -3.0975, -3, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 1:02 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -219.79383 + 2.80101. Let t = x - -217. Round t to four dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(6\/5)\/(v*v*v**(3\/2)*v)*v**(2\/3)*v*v**(-5\/3))**(-1\/75) assuming v is positive.\nAnswer: v**(11\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - 30. Let o = p + 32.99999958. Round o to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05741 times 1\nAnswer: -0.05741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20704960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1619410*y**3 + 980528 wrt y.\nAnswer: 4858230*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2243, -4488, -6721, -8936, -11127, -13288, -15413, -17496?\n\"Answer: r**3 - 2252*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 3 = m. Suppose 112 = m*d - a, 0 = -3*d + a + 4*a + 54. Calculate the remainder when 45 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2 + 38030*v + 1490775.\nAnswer: -5*(v - 7645)*(v + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3, 7, 25, 51, 85, 127, 177?\n\"Answer: 4*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/7 + (-26)\/(-42). Let p be 9 - (-16 + 26) - 7*(-1)\/5. Sort c, 2, p in descending order.\nAnswer: 2, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*p**2 - a**2*p - 72579*a*p**2 + 777*a*p + 4*p**2 - 1 wrt p.\nAnswer: 4*a**2 - 145158*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1117850\/1629 and 685 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 262936 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*d + 17 - 17)*(-5 + 0 + 1) to t*d + n and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000229798149 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -22405552 (base 7) in base 11?\nAnswer: -1113300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -5. Let g = -2.5 - -2.3. Is m less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1520 - 1482.98. What is n rounded to zero decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.109 - -0.191. Let l = -31\/4 - -473\/60. Which is the closest to -0.2?  (a) l  (b) -2\/19  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.809847845 - -13462.746827845. Let o = u + -13251.9369621. Let k = -210 + o. Round k to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from klskl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z. Let n(j) = 1 + 2 + 33*j**2 - 3. Give n(t(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -34, -64, -92, -112?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 705 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 32 - (-12 - (-8 + -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.531 + 32.831. Let s = -1.6 - -33.6. Let d = h - s. What is the smallest value in -4, d, -0.06, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -105 - 1820268?\nAnswer: -1820374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 27  (b) -4  (c) 18  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/3503, -4, 3\/4 in increasing order.\nAnswer: -4, 12\/3503, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 2*z - 20, 0 = -f - 2*z - 5. Let c be (-1)\/((3\/f)\/(-1)). Is -1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 3*m + 290 = 0, 0*j = 2*j + m - 115. What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43628 - -2.\nAnswer: 43630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 4*k**2 - 3*k**2 + 4*k**2 + 8.\nAnswer: -3*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-20 + (-935)\/(-68))*110\/3025\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/2*(-4)\/(-2)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -2*s + s + 17, -5*q = -20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2042.53 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -136 * 0.14.\nAnswer: -19.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of 11*d**7\/21 + 3*d**3\/2 + 38*d. What is the second derivative of h(s) wrt s?\nAnswer: 440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2966 divided by 6.\nAnswer: -1483\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -67, -143, -253, -397?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -408604, -408172, -407740?\nAnswer: -407308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v - 1. Let b(j) be the third derivative of -j**5\/15 - 5*j**2 - 6*j. Determine b(a(r)).\nAnswer: -16*r**2 + 16*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*(530208\/(-8820) - -60)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -135*m**2 - 579*m - 565. Give g(-1).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 1030032.15\nAnswer: 206006.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -154766275, -309532548, -464298821, -619065094, -773831367, -928597640?\nAnswer: -1083363913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100178073 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3\/43874015?\nAnswer: -3\/43874015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 396*k**4 - 484*k**3 + 394160*k.\nAnswer: 4752*k**2 - 2904*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1166602 from -6563.7.\nAnswer: -1173165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 3:31 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -58, 3, -301, -1, 1 in increasing order.\nAnswer: -301, -58, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-nine halves of a kilogram in grams?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - 14*x**2 - 12. Determine g(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aav when three letters picked without replacement from {v: 5, a: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49*d**3 - 49*d**3 + 6*d + 2*d**4 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -884272, -884161, -883974, -883711, -883372, -882957?\nAnswer: -882466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w + 4*w + 3015628 - 3015625 + w + 28*w.\nAnswer: 34*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -171, -336, -501, -666, -831, -996?\n\"Answer: -165*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - sqrt(18))\/sqrt(6) - (-4 + sqrt(12))) + (sqrt(15)\/(2*sqrt(5)) - (-3 + (-1*sqrt(3))**2)) + 3.\nAnswer: -sqrt(3)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (19 + 12 + 29)*(-3*b + 4*b - 2*b)*(703 - 714 - 8*b - 7*b) in the form d*b + o*b**2 + x and give o.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**2\/11 + 36*a\/11 + 90\/11 = 0.\nAnswer: -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 6*b - 4. Let h be q(5). Let x be h + (2 - 0) + -1. Let w = -10084\/5 - -2020. Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1628 - -27668\/17. Let m = q + 31\/102. Put -0.06, -1\/8, -1, m in increasing order.\nAnswer: -1, m, -1\/8, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 2*l**2 + 124*l - 1606. What is z(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**2*i**2 - 2*c**2*i + 145*c**2 - 53*c*i**3 wrt i.\nAnswer: 2*c**2*i - 2*c**2 - 159*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - ((-84)\/8)\/3. Sort -2, -4, t in ascending order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2650774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-16)\/176*(-12)\/15?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, c: 1, q: 11}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3990571573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5*(sqrt(119) + sqrt(119) + sqrt(119)*4 - sqrt(119)) - sqrt(119))\/(sqrt(175)*4 - sqrt(175)).\nAnswer: -5 + 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 0. Suppose -x*c - 15 = 13. Let l = -397 + 400. Sort -1, c, l in decreasing order.\nAnswer: l, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.8 - -0.4. Let n = 3 - 0.6. Let q = n + -2. Which is the third smallest value?  (a) q  (b) 3\/7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3084, -4, 2 in descending order.\nAnswer: 3084, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -1752?\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 27 = 3. Let q = m + 27. What is q rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, 6, 1537, -2 in decreasing order.\nAnswer: 1537, 10, 6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 30765.4705 rounded to the nearest 10?\nAnswer: 30770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 6*b - b + 2*d, 4*d = b - 6. Let w(a) be the first derivative of -a**2 + 402. Calculate w(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*p**3 + 71*p - 4*p**3 - 36*p**2 - 2*p + 2*p**3 + 108 - p**3.\nAnswer: 3*(p - 9)*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 12*p**2 - 642*p + 209. Give f(53).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 2*u - 3*k + 13 = 0, -4*k = 4*u - 4. Suppose b - 84 = n, 5 + 0 = u*n. Let p = -39 + b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -31. Suppose -2*i + 5*i - w = 0. Let l(a) = -3*a + 5. Calculate the smallest common multiple of i and l(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 + 28.00000054. Round k to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (1 - -20) + -31 + -9 + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1.47, 23 in decreasing order.\nAnswer: 23, 5, 1.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-7))\/(-26 + -1). Let l = m + 7048\/2079. What is the common denominator of l and 1\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**4 - 23*j**3 - 81*j**2 - 85*j - 25 = 0 for j.\nAnswer: -5, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 15*j**4\/4 - j**3\/6 - 2*j**2 + 34*j. What is the hundreds digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = s - 14. Suppose -4*q = -s*x + 140, -4*x - 3*q + 162 = 50. What is the highest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 5:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249*g**2 + 242*g**2 - 745*g**2 + 251*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94469.\nAnswer: 17, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jiii. What is prob of sequence iij?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12567200 and 250.\nAnswer: 62836000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -n**6\/720 - n**5\/12 + n**4\/3 - 8*n**2. Let g(p) be the second derivative of s(p). What is the units digit of g(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, b: 3, e: 4, r: 8, o: 2}. What is prob of picking 2 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2125 = -13*f - 4*f. Let n = -79 + f. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1380267*i**5 + 1511446*i**2?\nAnswer: 82816020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3573 and 1999575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (15 + (7 - 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 954618 is divided by 159085?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 200*o - 19399. What is g(97)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12832 is divided by 267.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5299?\nAnswer: 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5441 + -24?\nAnswer: -5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 53 and 2491?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2542691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.817286 kilograms?\nAnswer: 817286000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(56\/210)\/((-114)\/(-9))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -24*c**2 - 637*c - 3024. Give t(-19).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13797, 13770, 13695, 13548, 13305?\nAnswer: 12942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280, 1252, 6662, 18020, 37396, 66860, 108482, 164332?\nAnswer: 236480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -42\/14101, 0.4 in descending order.\nAnswer: 0.4, -42\/14101, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1227825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**5\/20 + s**4\/4 - s**3\/3 + 3*s. Is 9 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 6. Let a be j(3). Suppose -a*m = 2 - 14. Suppose -y - 21 = -2*w, m*w - 5*y = -5 + 38. Solve -u - 2*x - w = 0, 2*u - 24 = 5*x - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/3074 or -1?\nAnswer: -3\/3074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29589*r - 40*o - 1515 = 29590*r, -89 = 5*r + 3*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.6 * 0.84.\nAnswer: -3.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**2 - 2*q + 1. Let i be ((-9)\/(-18))\/((-1)\/(-6)) - -2. What is o(i)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of s**4\/15 + 148*s**3\/15 + 2738*s**2\/5 + 4*s - 3. Solve j(y) = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -4. Let u = q - -4. Suppose u*g + 9 + 15 = 5*b, -2*b + 32 = 4*g. What is the smallest common multiple of 14 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*t = 5*t - 94. Suppose 2*u = -3*u + 2560. Let n be t\/(-3) + u\/(-48). Which is smaller: n or -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1701*p**5 - 3965*p**5 - 322*p - 2594*p wrt p?\nAnswer: -113320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gddgidwdi. Give prob of sequence wi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 217, 1, 1\/47, 0.01?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16.6 + -15. Let d = g + -1.5. Which is smaller: 0.17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i - 1. Let n be x(-1). Suppose -3*s - 9 = -6*s. Suppose -2*v - 1 - 10 = -s*d, 3*v + 4 = 2*d. Solve -f = v + n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11576 = -2*l + 5*t, 22*l = 25*l + t - 17398. List the prime factors of l.\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -d + 65. Let u = -9529 + 9573. Calculate the least common multiple of d and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 4*x**2 - x + 34. Suppose -4*b + 3*d = -17, -4*b = b - d - 24. Let o be u(b). Solve 10\/11*c**2 - 24\/11*c**3 - 18\/11*c**o + 8\/11 + 24\/11*c = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 282, 5, 4 in ascending order.\nAnswer: 4, 5, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/3 in -0.5, 2, 2.29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, -7\/8, 2.7, 4, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 4*a = 2*v + 6, -4*v + 26*a = a - 34*a + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**5\/5 - 4208*z**4 - 55250856*z**3\/5 + 444281696*z**2\/5 + 2439463936*z\/5 + 2660130816\/5 = 0.\nAnswer: -5264, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.481?  (a) -4  (b) -0.5  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 237 + -244. What is the closest to i in -2\/11, -4\/5, 0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -5*w**3 - 15*w**2 - 35*w + 40. Does 38 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k**2 - 2*k**2 - 724635 + 724635 + 2*k + 4*k**2.\nAnswer: 11*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/563 in -62, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.92237.\nAnswer: -3.68948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/25, 0.2, -1\/5, -16 in increasing order.\nAnswer: -16, -1\/5, 2\/25, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.3 + 0.7. Let a = 0.76 - 1.76. What is the closest to a in 2\/13, s, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10856071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -467 + 110d2c?\nAnswer: 1108a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 1:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -36*b**2 + 591*b - 70. What is t(16)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -3675978?\nAnswer: 367597a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1565977541 to the nearest integer?\nAnswer: 39572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*(-3 + 7 + -1). Let j be (d + 3)*88\/24. What is the greatest common factor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 908 divide 1662064523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/247372 and -12\/5.\nAnswer: 1236860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(2\/3))**50*(((z**12\/z)\/z)\/z)\/(z**(4\/5)\/z) assuming z is positive.\nAnswer: z**(388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 281204 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, c: 3, l: 2, h: 4, q: 1}. Give prob of sequence qr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(189)\/sqrt(7) + ((sqrt(165)\/sqrt(11))\/sqrt(5))**2.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13414590?  (a) 0.5  (b) -0.4  (c) 4  (d) 0.3  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 10:25 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/12 and -173\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 5*v. Suppose 2*o - 5*g + 15 = 0, -6 = -v*o - 3*o - 2*g. Suppose -5*h - 4*r = -283, h - 4*r - 47 = -o*r. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 4*s - 5. Suppose -t - 1 + 10 = a, a + 6 = 2*t. Give d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p - 14. Let v be q(4). Suppose -8 = 4*a - v*a - 3*h, -30 = -5*a - 5*h. What is the units digit of a\/12*(3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 12.3. Let r = 0.5963 + 0.0965. Let x = r + o. What is x rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.001029 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**8\/336 + v**7\/210 + 7*v**6\/40 - 49*v**5\/60 - v**4\/3 + 10*v**3 - 184*v**2. Determine d so that t(d) = 0.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of c**4\/6 + 17*c**3\/3 + 16*c. Factor h(w).\nAnswer: 2*w*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 2*q**7\/21 + 3*q**3 + 2*q**2 + 3. Let g(r) be the second derivative of l(r). Find the first derivative of g(x) wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*k - 6 - 0, 1 = 5*k + 3*f. Suppose 0 = -2*u + 2. Sort u, 3, k in decreasing order.\nAnswer: 3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.9 + -13.9. Put m, -30, -4 in increasing order.\nAnswer: -30, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23525225 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 + -75. Let j = h - -24. Which is smaller: -1\/27 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/2*2\/(-11). Suppose 133*u + 18 = 115*u. Is y at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 17 = 4*i. Suppose -17 = 3*s - 4*s - 3*q, i*q = 15. Sort s, -1, 5, -5 in descending order.\nAnswer: 5, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254362584.4 rounded to the nearest ten thousand?\nAnswer: 254360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -187564.499909 + 187565. Let m = -0.5 - -1. Let p = m - s. Round p to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - 1 - (-64 + -26 + 61) - -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 3. Suppose -r*q + 7*q + 3*j = -3, 2*q = 2*j - 14. Let a = 6 + q. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 5*c - 0*c - 17, 2*n + 2 = -4*c. Suppose 6*x - 45 = 5*x. Suppose -2*k + x = 3*k. Calculate the smallest common multiple of k and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 5030\/6129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -4. Put -2\/7, 0.5, x in ascending order.\nAnswer: -2\/7, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 319 + -319.4. What is the closest to 1 in -14, -3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -15*z + 21. Let n(w) = 4*w - 5. Let b(m) = 5*l(m) + 21*n(m). Let o(c) = -8*c. Calculate o(b(y)).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-6)\/((-24)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6272 - 6210. Solve -18 - s = -16*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23983239281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 61*g - 150*g + 66394. What are the prime factors of g?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 14*g**2 - 740*g + 4837. Determine n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -354116 (base 8) to base 13.\nAnswer: -4305a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1107355791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28239755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6680, -13357, -20030, -26699, -33364?\n\"Answer: 2*v**2 - 6683*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -201, -185, 44 in descending order.\nAnswer: 44, -185, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1616293 = 51*n + 910242 - 7905350. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - v = -8, -9*a + 3*v = -5*a - 53. Suppose a*w = 350 + 398. Calculate the highest common divisor of 16 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 187369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4\/7)\/(((q\/q**(-16))\/q)\/q) assuming q is positive.\nAnswer: q**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48842895 and 1455?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21900 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.89 + 11.09. Let o = w - 10. Which is the second smallest value?  (a) -2\/9  (b) o  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f**2 + f - 2. Calculate the remainder when ((-12)\/((-288)\/136))\/((-2)\/(-24)) is divided by u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*u**2 - 2*u + 544 + 7*u**2 - 600 + 8*u**3 to j*u**3 + y*u + c*u**2 + o and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4577891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 289*g**3 - 2*g**2 + 9*g - 15. What is the units digit of z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -1\/2  (b) 1\/9  (c) -2  (d) 1  (e) 3  (f) -90106  (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -4705065?\nAnswer: -4705065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 33600?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 5781.\nAnswer: -2312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h*k**3*l + 11571*h*k**3 + 165*h*k**2 - 2*h*l + 2*k**2*l + k**2 + 23*k*l wrt k?\nAnswer: 18*h*l + 69426*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93391*p**2 - 93390*p**2 + 186778*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329 is divided by 301.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5521*g - 21960 = 176796 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -60711839.9351\nAnswer: 60711835.9351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.2389 and -36?\nAnswer: -44.6004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 133669 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-60 - (5 - (15 + -5))) + 115 + -108\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p. Let j(s) = 617505*s. Calculate f(j(h)).\nAnswer: -1235010*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 198\/(-2079) + (-32)\/(-21)*25?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 13 + -13 + (-23 - -22) + 126\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (224\/4928)\/((-2)\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/20 and 69\/155236.\nAnswer: 776180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2181, 8047, 17839, 31569, 49249, 70891?\nAnswer: 96507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.488895 - 2566.072105. Let o = 2568 + k. Let t = o - 1.29. What is t rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 2*a + 111 = -d, 255 = -5*a + 5*d. Let b = a - 48. Let r = 244 + b. What are the prime factors of r?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - u - 1. Let j(v) = -v + 2. Let o be j(4). Let w be a(o). Suppose q - 4*b + 16 = 5, 0 = -2*q - w*b + 30. Solve -g + 2*g = q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v - 39. Let d be m(16). Let g(a) = -a - 3*a + 5*a + 9. Let f be g(d). Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5304 is divided by 356?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (30\/(-9) + 3)*-3. Suppose 0*n = 5*n - 15. Suppose -4*h + 3 = -n*h. Sort 5, y, h.\nAnswer: y, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1764524*v - 5 + 3 + 2.\nAnswer: 1764524*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + 6 + -33 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -272*d**3 + 14 - 33 - d - 401 + 123 - 451 wrt d?\nAnswer: -816*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -107b (base 12) to base 2\nAnswer: -11100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -x**4\/2 + 11*x**3\/3 - 2*x**2 - 4*x - 6182. What is o(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgmgggggmmbbgggm. Give prob of picking 1 m and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19604623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9578 + 15*a - 19161 + a**3 + 9583 + a**2 + 4*a**4 to the form f*a**3 + i + x*a**2 + y*a + l*a**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-6)*6\/9. Let v = 0.047 - 0.047. Which is the nearest to v?  (a) 0.7  (b) -1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 4*s = 5*u - 20, 5*u + 5*s - 20 = 0. Let f be (-4)\/14 + 1422\/(-21). Let b = -206\/3 - f. Are u and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4619*c - 1714*c + 10917 + 91677 - 919 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1315935683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - y + (y - 2*y - 3*y)*(2 - 1 + 0))*((-y + 0 + 0)*(2*y - 5*y + 4*y) - 5*y**2 - y**2 + 5*y**2).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9\/11?  (a) -28  (b) 2\/9  (c) 3  (d) 4\/9  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 + (130 - 143)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (8 + -6) - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - k**2 - 4*k)*(14*k + 10*k - 14*k) + (5 - 5 + 2*k**3)*(-3 - 1 + 2).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + 31576093409.91.\nAnswer: 31576093407.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 252*w**2 + 2. Let d(t) = 34525*t**2 + 275. Determine 2*d(v) - 275*h(v).\nAnswer: -250*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 5*i**2 - 85*i + 9. Let u be j(12). What is the third smallest value in -24, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -15*y**3 + 16*y**2 + 26*y + 1. Let a(p) = 13*p**3 - 15*p**2 - 25*p - 3. Let b(w) = 7*a(w) + 6*s(w). Determine b(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -2*n**3\/3 + 2*n**2 - n. List the prime factors of c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 174*o + 177*o + 190*o - 4 - 715*o + 175*o. Let x(a) be the third derivative of a**4\/24 - a**3\/2 - a**2. Let j = -6 - -9. Give j*h(u) - 4*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32123*f**2 + 104808*f**2 + 354297*f**2.\nAnswer: 491228*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mgzg when four letters picked without replacement from mmmzmgzmzmgzz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -3463933.37 to the nearest ten thousand.\nAnswer: -3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2976 from 0.2.\nAnswer: 2976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - 14. Let q(m) = 2*m**2. Give q(f(v)).\nAnswer: 8*v**4 - 112*v**2 + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of -w**5\/120 + 2*w**3\/3 + 3. Let r(v) be the third derivative of a(v). Let d(p) = -2*p. Determine d(r(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12423 and 5289?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus 170.08951?\nAnswer: -169.68951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -143 + 1 + 11 + -23 + 25 + -12 + 4?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/(-200) + (-22)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48755999?\nAnswer: 48755999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*m = -26*m - 552. Let n = 142 - m. Solve 4*o + 16 = -n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40\/15*(-2709)\/602\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*l = -227 - 67 - 179 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 2661*f - 5334.\nAnswer: 3*(f - 889)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of z**4\/12 + 2*z**3 - 31*z**2 - 125*z. Let v be o(4). Find n, given that -1\/3*n + 1\/3*n**v - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**5\/4 - 85*t**4\/6 + 210*t**3 + 1620*t**2 + 70*t. Let o(h) = 0. What is h?\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-3 + -2)*(-96)\/(-3). Which is smaller: 66 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -185, -619, -1349, -2381, -3721, -5375, -7349, -9649?\nAnswer: -12281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66576*d = 66577*d - 6, 4*y = 32*d - 172 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 9) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r - 2. Suppose -6*b + b + 70 = 0. Suppose 11*u - b = 30. Let y be 6*u\/(-9) - (-4)\/6. Let h(x) = -3. Calculate y*h(j) + 3*a(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*(1*(-1 + (sqrt(128) - sqrt(128)*2)) + (4*(sqrt(128) + 1) + sqrt(128))*4)*-3)**2.\nAnswer: -3761073 - 369360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -10*x**2 + 2*x + 29. Let h(f) = -3*f**2 + f + 10. Let v(i) = -2*b(i) + 7*h(i). What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28307 - -29258. Calculate the remainder when j is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3*b = -234, 0 = -2*w + 5*b - 79 + 244. Calculate the remainder when 161 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-4)*(-37060)\/416925?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 6 - 4*y - 5*y + 3*y + 5*y. Let d be m(3). Solve d*u = 5*f + 28, f + 4*u = 2*f + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 3*i - 13*i + 1)*(0*i - 2*i + 3*i).\nAnswer: -11*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -190, 21, 1255 in descending order.\nAnswer: 1255, 21, 4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**2 + 19*h + 75. Calculate the smallest common multiple of 6 and c(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 252.30639 months?\nAnswer: 0.0210255325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, 184, 390, 596, 802?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*w + 95389 = -17*w + 394354. Is w a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 190, 0.005, -2, 3\/4, -3, -0.4?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 5*f. Let v = -1604 + 1603. What is i(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 11*k + 3. Let l be c(11). Suppose -2*w = 2*i - 6, i - w - l = -0*w. Suppose -i*o - 3 = -9. Put o, -5, -6 in descending order.\nAnswer: o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f + 41*f + 176 - 376 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00181847712 rounded to six decimal places?\nAnswer: -0.001818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6417 and 1395.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 821\/821*(-25)\/(-1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8745727 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -10*b + 3. Let y(o) = 11*o - 4. Let l(w) = 5*n(w) + 4*y(w). Let p be l(-1). Suppose p*x + 1 - 11 = 0. Solve -x*t + t = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -139 + 250.1. Round y to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**3 - 1. Let z(g) = -8*g**2 + 4 - 5 + 1. Give o(z(c)).\nAnswer: 192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 30*y + 119. Let n be u(-4). Let g be ((-88 + 0)\/8)\/n. Let a be (-730)\/(-6) - (-4)\/(-6). What is the highest common divisor of g and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 2*z + 6*z + 12, 3*y - z - 3 = 0. Solve -23*t + 7*t + 48 = y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2343374191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 288468 and 4014.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/((s\/(s*s*s*s**(3\/8)*s*s*s*s))\/s*s))**(-8) assuming s is positive.\nAnswer: s**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/3*(4\/(-4))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - (-6 - (-11 - -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5*(2*sqrt(1216) + sqrt(1216)) - (sqrt(228) + -4*sqrt(228)*2)\/sqrt(12))*-3)**2 + 3)*5.\nAnswer: 13790310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 45*g + 99. Let d be w(-29). Let k = 1162 - d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 143865*a**2 - 414521955*a + 315536216175.\nAnswer: -5*(a - 25635)*(a - 1569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 24928 = -9*a. Let i = -1078 - a. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1086, -1023, -918, -771?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -1\/3*a**3 + 2\/9*a**2 + 0 + 0*a**4 + 1\/9*a**5 + 0*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323018692 is divided by 836.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -12, 13, 58, 129, 232, 373?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 112655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 112210 (base 3) to base 9\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -26*g + 16. Let l(r) = r - 2*r + 7 - 4*r - 4. Let d(h) = 16*l(h) - 3*p(h). Let j(w) = w. Calculate d(j(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6007505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**5*l**3 - 33112*a**5 + a*l**3 - 3*a*l**2 - 1171*l**2 wrt a?\nAnswer: -40*a**3*l**3 - 662240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + k**2 - k. Let j be y(0). Suppose j = 9*v - 2 - 25. What is the third derivative of 11*w**2 - 3 + 9 + 2*w**v - 6 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 5*l + 2. Let n be t(5). Suppose -75 = -5*i - n*c - 2*c, 0 = -5*i + 4*c + 115. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -588*z + 238*z - 1 + 1253*z + 2*z**2 + (2 - 2 - z**2)*(0 - 2 + 1) + 2*z - 2*z - 2*z**2 in the form s + y*z + l*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 194539981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94 = -71*i + 69 + 50 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**2 - 278*a + 514. Let n be m(0). Solve n*v - 506*v = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 14 = 4. Let k(r) = 5*r - 1. Let x be k(y). Let w = -9 + x. Solve -8*f + w = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 303 - 8?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z\/z**(-1))**(2\/89)*z\/((z**(-9)*z)\/z)*z**(-1\/8))**(13\/5) assuming z is positive.\nAnswer: z**(18447\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 5:51 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -83999  (b) -19  (c) 3  (d) -2\/27  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5364 at most as big as 5365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -123, -95, -67, -39, -11?\n\"Answer: 28*s - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4 - 95734140*l**3 + 458250895140260*l**2 + 3666011756362080*l + 7332026576217920.\nAnswer: 5*(l - 9573418)**2*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4220952 or -4221036?\nAnswer: -4221036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23806\/11 - -2169. Suppose -5*m - 873 = -3148. Find the common denominator of j and ((-4)\/40)\/((-4)\/m).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 + -0.2. Which is the biggest value?  (a) -0.01  (b) 0  (c) y  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -n - 4*t - 11, 5*n + 84*t - 86*t - 14 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.13.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-77 - 36 - 54)*(-20*p - 5*p + 4 + 8*p)*(-5*p**3 - 6*p + 6*p).\nAnswer: -14195*p**4 + 3340*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -166 - -1993\/12. Let p = 4832 + -4831. Is p > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-45) - (-66)\/18. What is the smallest value in -3, w, -0.45, 0.02, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 4  (b) -12  (c) 39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1372893.84ns?\nAnswer: 0.000000015889975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9186*s*z**4 + s*z**3 + 12526*s*z**2 + s*z wrt z.\nAnswer: 220464*s*z + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12239, 12258, 12277, 12296, 12315?\nAnswer: 12334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 25*v**2 + 6*v + 9. What are the prime factors of n(-5)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -21. Suppose z = 2*z - o. Suppose -2*g = -3*f + 1, -5*f + z*g + 3 = 2*g. Solve -j = -f - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -q, -2*q = 5*h - 12 - 5. Suppose -2*y - u = -3*u - 8, -h*u = 3*y + 18. What is the units digit of y*1 + 56\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3018 - 3041 = -3*d, 5*l = 4*d - 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8966, -9325, -9700, -10097, -10522, -10981, -11480, -12025?\n\"Answer: -h**3 - 2*h**2 - 346*h - 8617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -86*((-1)\/(-2))\/(-1). Suppose 2*i - q = 67. Let x be ((-4)\/(-14))\/((-156)\/(-6006)). What is the greatest common factor of x and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g*g**(-2\/43)*g)\/g)\/g*g)\/g)**(1\/34)*(g\/g**(2\/81))\/g**(-15))**(-11\/5) assuming g is positive.\nAnswer: g**(-10404163\/296055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7245 (base 16) in base 15?\nAnswer: 8a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 476479837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2100*s**3 + 1607*s**3 - 3011*s**3.\nAnswer: 696*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of k**5\/10 + 5*k**4 - 35*k - 10. Let s(f) be the first derivative of j(f). What is the third derivative of s(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l**2 - 14*l**2 - 7 + l**2 + 6*l**2. Let z(k) = -k - 3. Let a be z(-3). Give g(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-9) + 0 + 1. Let d = 4938 + -4937.6. Sort x, d, 1.8 in decreasing order.\nAnswer: 1.8, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34*i**2 - 33*i - 2409?\nAnswer: 68*i - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4)*c\/c**(-5\/4))\/((c*c*c**(2\/13))\/c**2) assuming c is positive.\nAnswer: c**(-99\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8517466, 8517471, 8517476, 8517481, 8517486, 8517491?\nAnswer: 8517496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**7\/5040 + l**6\/288 + 5*l**4\/6 + 5*l**3\/6 + 84*l. Let h(v) be the third derivative of g(v). Factor h(w).\nAnswer: w*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 7*m**2 - m - 3. Let k(l) be the first derivative of 3*l + 3\/2*l**2 - 1\/3*l**3 + 27. Let a be k(-2). Give z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 0, 3*m + z - 16*z - 1 = -0*z + 8*z - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 + 31837*u**2 + 253350880*u - 760339200.\nAnswer: (u - 3)*(u + 15920)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8 + 2 + -2 + -3. Suppose -3*f = -j*f + 6. Suppose f*n = -n - 16. Let i(s) = 2*s + 2. Determine i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 16.609.\nAnswer: -49.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2155563706 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 305 and 23851.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a + 5. Suppose 0 = -3*s - 2*f + 2, 5*s - 4*f = -6 + 46. Determine n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -q**2 + 0 + 0*q**6 - 167\/24*q**4 + 0*q**5 + 0*q**3 - 1\/84*q**8 + 0*q + 4\/35*q**7. Find the second derivative of l(n) wrt n.\nAnswer: -80*n**3 + 288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 838893997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 11*f + 5453. Let y be s(0). Suppose 7*j - 26334 = y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 17*j**2 - 15*j + 46. Is p(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14757, 14755, 14753, 14751, 14749?\nAnswer: 14747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 21 = 5. Let y = 5 - i. Solve 0 = -3*n - 2*w - 5, -3*n + y = -7*n + 3*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 646821 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 3*l**2 - 7*l + 4. Let b be v(3). Suppose 3*y - 90 = 4*i + b, 6 = 3*i. Factor 11 - y*j + 29*j + 4*j**2 + 5.\nAnswer: 4*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -174\/307 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -103226*m**2 + 123*m + 737.\nAnswer: -206452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*g*p**6*u - 2*g*p**6 + 15*g*p**2*u + 2*g*p*u + g*u + p**2*u wrt p.\nAnswer: 4920*g*p**3*u - 240*g*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - (8 + -5)) + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-7\/4))\/n**7*n*n*n*n**(1\/4)*n*n**3 assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2615 = -2*k, 1745 = 2*a - 0*k + 3*k. Calculate the remainder when a is divided by 431.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(-14)*5\/45. Suppose b - 50\/7*l**2 + 0*l - 2\/7*l**4 + 20\/7*l**3 = 0. What is l?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 62. Which is bigger: 19 or y?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -87*v + 130. Calculate the remainder when 284 is divided by d(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2. Let y(z) = -4636*z**2. What is v(y(s))?\nAnswer: 21492496*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 29, 3\/5, 2, 0 in descending order.\nAnswer: 29, 4, 2, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15494664 - 8*i**2 + 15494666 + 33*i**2.\nAnswer: 25*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1210 + -2108. Let u = s - -897.921. Round u to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1022a1 (base 15) to base 4.\nAnswer: -2323030012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 8:09 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 723333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 6*c + 15. Let a be m(-6). Is a != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**3 - 26*i**2 - i - 5. Determine h(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 30440 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 4, 2*k - k - w + 138 = 0. Let c = 107 + 92. Let s = k + c. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 10:07 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 12*k**2 + 7*k + 3. Let j = 4924 - 4888. Calculate the remainder when r(-5) is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -726 + 1580. What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -204313542?\nAnswer: 204313550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.4665 - 0.5165. Sort -5, -1\/2, a, -3.2.\nAnswer: -5, -3.2, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -1045*c - 4892. What is f(-5)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 376*t + 445038 = 442*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/1)\/(-1 + 2). Suppose -g - 3 + 4 = z. Let i = 5 - g. Solve 0 = -5*f + i + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10333*f - 240084 = 10320*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*d - 11*d + 23*d - 4*d + 0*d + 6*d - 4 + 4 - d - 3 + 3 - d - 2*d + 3*d + 0*d + (-1 - 3 + 2)*(0*d - 2*d + d) - 4 + d + 4 + 3 - d - 3.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(-6) - (-2 + (-13)\/(-6)). Put -1, i, -2, 4 in descending order.\nAnswer: 4, i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4772272 is divided by 467?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-1)*8\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 300  (b) -4\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2 + -1 - (-146 - -142).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 3*h**2 - 2. Let b be o(-3). Let i(t) = -2*t + 6*t - 3*t. Determine i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 - 8*f + 19. Let s be h(12). Let q = -66 + s. What are the prime factors of q?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -213420 + 3?\nAnswer: -213417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 3, 4, 0.5, 0.33, -43 in descending order.\nAnswer: 4, 3, 0.5, 0.33, -2\/3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.05 * -104.\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -64*h**3*p + 758771*h**3 + 13891*h**2*p + 4*h**2 with respect to p.\nAnswer: -64*h**3 + 13891*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7195*t - 2415*t + 2153*t.\nAnswer: -7457*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 12 + 0 = 0. Suppose 0 = 2*w - b - 9, n*w = -5*b - 9. Suppose 2*t = -w*t + 635. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = -2*g, -10 = -r - 5*g + 16. Find the third derivative of -249 + 4*h**2 - 88*h**r - 2*h + 493 - 244 wrt h.\nAnswer: -10560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12321130 - -103310?\nAnswer: -12211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -151 - 175 - 5*v**3 - 1090 - 887 - 187*v**4 wrt v?\nAnswer: -748*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3370 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/6)\/(6\/(-9)). Let n be z*((-1)\/(-1))\/2. Let j = 2 - -1. Put 1, n, j in increasing order.\nAnswer: n, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*u + 192 = 0, -15*u + 11*u = 0. What is the greatest common divisor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51*-757\nAnswer: 38607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7*y. Suppose -4*l + 2*h + h + 27 = 0, 4*h = -4. Let o(g) = -l*g + g + 2*g. What is r(o(x))?\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = u + 4*v - 20, 5*u - v = 22. What is the hundreds digit of u\/(-10)*-15*60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 15, d: 4}. Give prob of sequence dx.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 813*u**3 - 2 + 1 - 51*u**3.\nAnswer: 762*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16)\/1040*-26 + (-640)\/(-25). Suppose -t = -11 - 509. Calculate the greatest common factor of j and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n - 2*n + 3*n + (-1 + 3 + 5)*(-n + 4*n - 4*n) as t*n + d and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -1 + sqrt(153)\/(6*2*sqrt(9) - sqrt(9)))*-4*-3*5.\nAnswer: 60*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1024 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8232581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + -1.4. Let q = 3.8 - n. Which is the second smallest value?  (a) -1\/2  (b) 3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -5. Suppose 0 = -l*u + 33 + 7. Let v(t) = t + 13. Calculate the least common multiple of v(-10) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -311?  (a) 4  (b) -1437  (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6073253.00039 + -6073329. Let r = t - -76. What is r rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -679373 greater than -679374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/5*a**3 - 2\/5*a**4 + 0 - 32\/5*a**2 - 24\/5*a.\nAnswer: -2*a*(a + 2)**2*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15116406?\nAnswer: 2, 3, 31, 67, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4923 + 7529 = 67*j + 343*j - 8458 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((-5 + 6)*-2 + (-2584)\/(-855)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 249094, 249102, 249110, 249118, 249126?\n\"Answer: 8*s + 249086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (sqrt(72) + sqrt(72)*2 + sqrt(72))**2 - ((sqrt(72) + -1)*-1)**2) + (sqrt(72) + -2 + 0)*-4)*-2.\nAnswer: -2164 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 72*d + 1 = -76*d, 2*s + 4*d = 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.53091*21.\nAnswer: 11.14911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-18)*9\/(1\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49950909 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**9)**(7\/5) assuming s is positive.\nAnswer: s**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -7 - (3 + -8 + 7)) + 2 - -64.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x + x - 2*x)*(2 + 0 - 3) + (4*x + 6 - 6)*(4 + 1 - 1) to the form f + z*x and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1857 or 72466\/39?\nAnswer: 1857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*w - 5 + 56*w - 66*w - 24 - 69 to the form p + g*w and give p.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88459720 is divided by 2023.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2201496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 21*h - 161. Let f be b(8). What is the remainder when 32 is divided by (954\/371)\/(1\/f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.009958 kilograms to grams.\nAnswer: 1009.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from ici?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/(-13) + 2\/2. Let b be 2\/4 - (-25)\/10. Suppose 7*m - b = 2*m + a, -5*m + 15 = 5*a. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from bwob.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 511726231 + -511726197.6904453. Let d = w - 33.31. Round d to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -0.2, -2, 3.39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -234, 1, 5 in descending order.\nAnswer: 5, 1, -5, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6085 a factor of 433577092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -4*j + 1513, 3*j - 654 = -3*v + 474. What is the greatest common factor of j and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 349, 359, 375, 397, 425, 459?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of 5 + 0*l**3 - 8\/3*l**6 + 5*l**2 + 0*l + 0*l**5 + 0*l**4. What is the second derivative of j(f) wrt f?\nAnswer: -320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 + 93. Let v(z) = z**3 + z**2 - 4*z - 4. Let b be v(u). What is b rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-24)\/(-16))\/((-12)\/1096). Let s = -132 - u. Solve 3*h + 2*h + s*d = -25, 5*d = -3*h - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - q = 2, q - 1 = 1. Suppose -2*u = -4*u + 4*k - 12, -18 = 3*u + k. Let c be (u\/(-4))\/((-3)\/f). Solve 0 = -r + c*r - o, r - 2*o + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-31)\/186*-42)\/(((-105)\/33)\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (380\/330 + (-42)\/(-231))*66\/8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2059814 times -9\nAnswer: 18538326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*b**3 - 6*b**3 - 5*b**3 + 0 + 0 + 2*b**3 + (3*b**2 + b**3 - 3*b**2)*(1 + 3 - 3) + 20*b**3 - 65*b**3 - 160*b**3.\nAnswer: -207*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5057 + 3315. Let t = s + 31337\/18. Find the common denominator of t and (-5)\/(-3)*(-9844)\/920.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 + 57. Suppose -l*r + 72 + 0 = 0. Let m(a) = 328*a - 1. Is m(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) 0.1  (c) 2  (d) 46  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 - -36. Let m = 19 + u. Suppose -2 + 6 = -4*g. Is g greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11002 (base 3) to base 7.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1732.3 - -1732.30111. Which is bigger: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4849240*m**4 - 16454239 wrt m.\nAnswer: -19396960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexywxeexxe. What is prob of sequence xy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 0*c = -1850. Let b be c\/(-22) + (-10)\/(-55). Suppose -5*j = 4*n - 7*n - b, n = 2*j - 6. Calculate the highest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 2988.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(-2)*n)\/n)\/(n*n*n*n**2\/n*n))\/((n\/(n\/(n\/n**6))*n)\/((n**1*n)\/n)))\/((n**(-2\/15)*(n**(-1\/4)*n)\/n)\/(n**(2\/5)*n**(4\/5))) assuming n is positive.\nAnswer: n**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32438.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365960.\nAnswer: 2, 5, 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5767 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 97266629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j + 2 - 2. Let s be (-2)\/4 + 14\/4. Let w(k) = k**2 + 0*k**2 + 3*k - s*k. Give d(w(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/5537 and -23\/245.\nAnswer: 27685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 877 is divided by 117?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1)*m*m*m)**1*m\/(m*m**(-3\/14))*m**(-5\/4) assuming m is positive.\nAnswer: m**(27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1422 - 14231\/10. What is the common denominator of i and (147\/(-9))\/(64\/(-12))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 25, 97, 219, 391, 613, 885?\n\"Answer: 25*l**2 - 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 11:03 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 2)\/(31\/(-31)). Suppose y = 2*m - 25 + 35. Which is the closest to -1\/3?  (a) 0.9  (b) m  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3248)\/(-64))\/(-29))\/((-6)\/12).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (110\/(-6))\/(39\/(-36) + 1). Calculate the greatest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 6:34 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(2\/11))**37)**39 assuming t is positive.\nAnswer: t**(12987\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -25884134 and -25884133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 26792\nAnswer: 53584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**11)\/u**(20\/3) assuming u is positive.\nAnswer: u**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2206 - 30?\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -h - 17, 16 = 2*p - 0*h + 4*h. Let k = -2 + p. Solve 0*r - r = k*s + 8, -5*s = -r + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 17*n**2 - 2*n - 8. Calculate s(-4).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 30  (b) 14544  (c) 0.1  (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -85  (b) 0  (c) -5  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 586 and 1262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1812\/7 - 259. Sort -15, w, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of 3*d**2\/2 + 5*d - 39. Give a(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5434*b**2 - 8*b - 5436*b**2 - 66*b + 240 = 0. What is b?\nAnswer: -40, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25\/7 + 3. Which is the third biggest value?  (a) -2\/7  (b) y  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + 4*l**5 + (0 + l + 0)*(3*l**2 + l**4 - 3*l**2) - 5*l**5 + 0*l**5 - 3*l**5 + 16*l**5 - 75*l**2 + 75*l**2.\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.6 - 2.5051.\nAnswer: -4.1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -4, 15, -5 in increasing order.\nAnswer: -5, -4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 3. Let j be x(-8). Suppose -j + 43 = 2*m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/25*23\/(3772\/(-41))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 11830\nAnswer: -5915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -845\/1349 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 1. Suppose -91*s - 1064 = -95*s. Let j = 271 - s. Let r be -4 + (-2 - -4*1). Let x(m) = m + 2. Determine j*k(a) + r*x(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**4 - 4*q**4 + 2*q**4)*(-9*q - 8*q + 8*q).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590 a factor of 49413878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7d + -12c06?\nAnswer: -12c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 730592.785 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -117166 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51*g**5 - 8*g**4 - 1660*g**3 - 73*g + 434?\nAnswer: 1020*g**3 - 96*g**2 - 9960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.89 - -0.11. Let x be (-6)\/7 - 2\/(-18)*9. Which is the closest to x?  (a) 1  (b) i  (c) -1\/9  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from dsssmdgghd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**3 + 14*y**2 - 42*y + 77. Calculate n(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 100 - 1 - (4599 + -4569).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 21. Let v(i) = 4*i - 2*i**2 - c*i + 3 - i**2 + 5*i**2. Determine v(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6511 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**4\/11 + 3508*c**3\/11 - 10510*c**2\/11 + 7004*c\/11 = 0.\nAnswer: 0, 1, 2, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.5, -3, 35\/29, -0.1 in decreasing order.\nAnswer: 35\/29, 0.5, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -k**4\/3 - 239*k**3\/6 + 1498*k**2 + 5175*k. Differentiate y(r) with respect to r.\nAnswer: -8*r - 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.15 - 0.05. Let l = 114.3 - 17.3. Let f = l - 115. What is the closest to o in 3, -3\/2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 + 252400*c**2 - 3028584*c + 9085536.\nAnswer: -2*(c - 126188)*(c - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24 - 1\/(-1)) + 4. Let t(n) = -9*n + 1. Does 43 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -1 + 4*q**2 + 2*q - q**3 + 5 + 2*q**3. Let f be o(-4). Let i = -3 - f. Is 2 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 851 - 842. Let n(k) be the third derivative of -1\/60*k**5 + d*k**2 - 1\/3*k**3 + 0*k + 0 + 1\/6*k**4. What is n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 2\/21, -0.09, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -139\/308 - -1\/44. Let r = -22\/7 - -24\/7. Which is the biggest value?  (a) -3  (b) x  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 52, 1, 5, -808 in descending order.\nAnswer: 52, 5, 1, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 + -2b582a?\nAnswer: -2b5844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 4*u + 5*o, 0 = 3*u - 1203*o + 1202*o - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 261892939 divided by -37961?\nAnswer: -6899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 * 2687921\nAnswer: -2150336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190626901 to the nearest integer?\nAnswer: 13807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2241 + 2241.96. Sort l, 2, -1, -2\/7, 1\/5.\nAnswer: -1, -2\/7, 1\/5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -81423 and 0.39.\nAnswer: -31754.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-14 - (3 + (-40 - -21))) - (1 + 48)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000051105 to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, z: 15}. Give prob of picking 2 z and 2 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4480 and 581?\nAnswer: 371840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -543 and -1.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*-2 - (-36)\/15. Let a = 2.2 + -1.3. Let i = a + -1.9. Is i < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 47?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*i - 1 + 10*i**2 - 2 + 3.\nAnswer: 10*i**2 + 63*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5826 divided by 6.\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 201 + 9. Calculate the remainder when r\/2 + (-6)\/(-6) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w + 4*w = 5*w. Solve w*m - 3*m - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12.4, -0.1, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.1, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -216 - -215. Put -5, -11, s in decreasing order.\nAnswer: s, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 3*q + 14. Let g = -11 + q. Suppose g*p - 12 = 2*p. What is the greatest common divisor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 - 2. Let c = -234 - -339. Let f = c - 61. What is the highest common divisor of f and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by (-2 - 0)\/(16\/(-56)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.496 rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 7 = -2*h, 4*h = 3*h + 4*k + 2 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 94056798 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 4849066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 11) to base 9\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (252\/(-441))\/((-3)\/(-1071)*-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.8407 to one decimal place.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-35)*-7*0. Let f be (1 + 0 - 2)\/(5 - 4). Sort 2, 11, f, c in increasing order.\nAnswer: f, c, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 990*w**2 + 2 - 5333*w**2 - 2 - 2949*w**2 - 555*w**2.\nAnswer: -7847*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1308, 2639, 3970, 5301, 6632?\n\"Answer: 1331*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476413.\nAnswer: 7, 68059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10*u + 4. Let z(h) be the second derivative of -7*h**3\/3 - 34*h - 8. Calculate z(p(c)).\nAnswer: 140*c - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.034786 and -103.05.\nAnswer: -103.084786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 12*d**2 - 12*d + 109. List the prime factors of c(-27).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40 + -24. Suppose -2*g + 36 = -3*g. Let s = g - -76. What is the greatest common factor of s and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 56*d + 88. Let v be z(48). Let g = v + -441. Calculate the highest common factor of 217 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 1191 + 252*p - 254*p + 1195. Let f(j) = 5*j**2 + 5*j - 7. Give -7*c(z) - 4*f(z).\nAnswer: z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -52302 - 3?\nAnswer: -52305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2 - 23 = 0. Let u = o + 30. Solve u = -2*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555 = 2*s + 884*b - 965*b, -3*b + 12 = 2*s - 21 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 10*y**2 + 7*y + 5. Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -96, -11 in ascending order.\nAnswer: -96, -11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2347*g + 2343*g - 4682*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 + 10*w + 11. What is o(6)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*((sqrt(7) - (sqrt(175) + -1)) + 0))**2 + -4.\nAnswer: -32*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, -1\/2, -4, -35343?\nAnswer: -35343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*l + 23 = o, 0 = 5*o - 10. Let f = -16 + l. Let r = f - -11. Solve -r*s + 4*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -d**3\/3 + 6*d**2 - 21*d + 1681. Give i(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30044252 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 277, -2312, -6625, -12662, -20423?\nAnswer: -29908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3.2386 and 117670775.\nAnswer: 117670778.2386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -88*p + 2817. Let l be x(32). What is the greatest common divisor of l and 279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - -1)\/((-1)\/(-4)). Let t = 10 - j. Suppose 16 = -t*h + 60. Calculate the remainder when 64 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 2*w - w - 39, 0 = 5*n - 4*w - 42. Calculate the lowest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2. Let r be 5\/(-15) + (-16)\/(-3). Suppose 5*a + 5 = 4*a, k + r*a = -20. Let s(h) = h**3 - 3*h**2 + 1. Give k*o(n) - 2*s(n).\nAnswer: -2*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32931305*p**4 + 133081*p**2 - 5*p + 2.\nAnswer: -790351320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**5 - c**5 + 6*c**5 + (-478 + 58*c + 478)*(1 - 1 + 2)*(-4*c**2 + 5*c**2 + c**2)*(6*c**2 + 7*c**2 - 8*c**2).\nAnswer: 1169*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 290631 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5\/4, 3\/5, -33.\nAnswer: -33, -5\/4, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -5060191.029?\nAnswer: 5060191.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 4*g**2 + 7*g + 5. What is h(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 123*h**2*s - 756*h**2 + 3*h*s**4 wrt s.\nAnswer: 123*h**2 + 12*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 AM and 3:13 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -177.732  (b) 4\/7  (c) 20\/3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29887388.\nAnswer: 2, 131, 57037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57.877 - -0.123. What is the smallest value in c, 2, -0.2, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142, 130, 120, 112, 106, 102, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3696*b**3*c*l**2 - 2*b**3*l**2 + 96*b**2 - 2*b*c*l**2 - 5*c*l**2 wrt b.\nAnswer: -22176*c*l**2 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.039?  (a) 4  (b) -0.1  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -33*20\/(-65) + 36\/(-234). Let w = -1 - -2. Let r be w - 3\/(-2 + 1). Solve 6*h - y = r*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -6*g + 4*o - 8, -o = 2*g - 9. Suppose 4*x - g*h = -3*h + 260, -2*h = 3*x - 184. Calculate the least common multiple of x and 56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*v + 53*v - 125*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhhmhhbjjbmbsjhjj. Give prob of picking 1 j and 3 h.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**3 + 137*z**2 + 1794*z + 562. What is o(-17)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y - 13. Let o(v) = -7*v - 26. Let d(c) = c**3 + 12*c**2 - 64*c - 5. Let k be d(-16). Determine k*x(n) + 2*o(n).\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2357 + -2312. Solve 39*u - 86*u = -p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2667 + 2812. Calculate the remainder when r is divided by 138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*r, 2*r - 2*s - 10 = -0*s. Let m be (251\/10 - 13 - 12)*0. Put m, -5, 1, r in increasing order.\nAnswer: -5, m, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 2*c + 260, c + 255 = 5*u - 0*u. What is the greatest common divisor of u and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*z**3 + 26*z**3 - 29*z**3 - 27*z**2 wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5\/24  (b) 0.8  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00105204 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 16*u - 60. Determine x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5038115, -10076231, -15114347, -20152463?\n\"Answer: -5038116*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231*c + 16 = -227*c. Let m(j) = j**3 - 5*j**2 + 4*j + 4. What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -399*a + 126 = -378*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 121, -1, -4, 2\/3 in descending order.\nAnswer: 121, 2\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (8288\/(-397824))\/((3\/(-9))\/(-1))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)*b**(-14))**(2\/141)\/((((b\/(b\/(b*b\/b**7)))\/b)\/(b\/(b\/(b*b\/(b\/((b\/b**(-1\/2)*b)\/b))*b))))\/(b**(-3\/5)\/b**(-2))) assuming b is positive.\nAnswer: b**(14969\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 2775.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*r + 17*r + 52 = 5*p, -4*r - 2*p + 148 = 102 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 - 0 - (-33 - (0 + 0) - (4018 - 4066)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2797982501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1b7 (base 14) to base 10\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a - 2*a + 2. Suppose -2*o + 30 = o. Let s = -8 + o. Solve a = w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -28*h**2 - h - 73. Give g(5).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43814128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -16*r**2 - 15*r. Let x(d) = 19*d**2 + 15*d. Calculate -5*n(s) - 4*x(s).\nAnswer: 4*s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 2*c**2 + 4*c + 3. Let a be z(-3). Which is greater: -2\/17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08851713 * 5\nAnswer: -0.44258565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 7*q**2 + q + 8. Let s be r(-7). Solve f = -5 + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by (-26 + (-2 - -2))\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 220905705 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -32*w**4 - 732*w**3 + 1778*w**2 + 1968*w + 450 = 0.\nAnswer: -25, -1\/2, -3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 0. Suppose i*f = -31 + 303. Suppose -j - f = -5*j. What is the remainder when 66 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/21)*y**8)**19 assuming y is positive.\nAnswer: y**(3230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 4\/7  (b) 0.1  (c) -0.3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125) + (sqrt(125) - (5 + 1*sqrt(125))))**2*-5.\nAnswer: -750 + 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of g**3\/3 - 16*g + 47. Let q(p) = -p**2 - 4*p. Let k(z) = f(z) + 2*q(z). Let k(w) = 0. Calculate w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -1. Suppose -i = 1, -44 = -g - 5*i - 48. Let d(h) = h + 5. What is g*d(b) + 3*u(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34951757*q + 61942370.\nAnswer: -34951757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from ppzcpgczuupquzpguzp?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 6*f**2 + 20*f. Let k(q) = q**3 + q**2. Let r(o) = -6*k(o) + n(o). Factor r(m).\nAnswer: -5*m*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in -1\/6, 18, 0, 25, -2\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -7 - (-1 + -1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 2*t + 4 - 71, -5*t - 2*x + 172 = 0. Let c be (-5)\/(70\/(-46)) + t\/(-119). Solve 25 = 2*h + 5*d, -5 = 4*h + c*d - 4*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 2*a + 0*a)*(1 - 1 + 3)*(-45 + 15 - 49).\nAnswer: -474*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 1)*(-1 + 4 + -4). Suppose 7*z + 11*z - 1242 = o. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20166536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y - 6. Suppose 3*z + z - 4 = 0. Let u(x) = z - 4*x + x + 5*x - x. What is -a(p) - 6*u(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/6 - 32335*u**2\/3 - 174527850*u - 8699467500.\nAnswer: -(u + 50)*(u + 32310)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 98, 365, 800, 1397, 2150?\nAnswer: 3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*m**3 + 41*m**3 + 41*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*g - 3*o + 15, -3*o + 15 = 0. Let d = -59\/9 + 377\/63. What is the closest to d in 5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 123475, 2\/5, -2\/3, 2\/19, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/42246 and 40\/77451.\nAnswer: 464706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (sqrt(63))**2 + 4 + sqrt(7) + sqrt(7) + 0 + -5.\nAnswer: 3*sqrt(7) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 768 + -309. Let y = -458.9 + p. Which is the closest to -1\/3?  (a) y  (b) -3  (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from pgaggag.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -2*c - c + k + 11, 5*c = -14*k - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and 297.\nAnswer: 296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 7. Does 6 divide -2 + (17 - (3 - l))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -422*d + 383*d + 741 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1858038.\nAnswer: 2, 3, 7, 13, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 808 a factor of 315928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16695 or 16698?\nAnswer: 16695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from awaaawwvwwa. Give prob of sequence vaw.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-6))\/(8\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1892 + 1892. Let 3\/2*h + 21\/4*h**4 - 3\/2*h**5 - 3\/4*h**2 - 9\/2*h**3 + o = 0. Calculate h.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.2  (b) -1061  (c) -5  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - 14. Let y(i) = i**3 - 5*i**2 + 5*i + 3. What is the remainder when 11 is divided by y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -146.44, -56, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -5\/3, 25 in decreasing order.\nAnswer: 25, -1\/2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/385679 and 31\/918.\nAnswer: 20826666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 - x**3 - x**3 - 4*x**3 + x**3 + x**3 + (4 - 2 - 3)*(4*x**3 - 2*x**3 - x**3))*(-12*x + 39*x + 13*x - 104 - 13*x + 104 + (-x + x + x)*(1 - 2 + 2)).\nAnswer: -112*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 21 = 2*i. Let u(b) = -4*b**2 - 13*b - 5. Let x(j) = -j**2 - 3*j - 1. Let z(d) = 2*u(d) - 9*x(d). Calculate the remainder when i is divided by z(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12909 + 24036*d - 4303 - 4303 - 4303 as m + k*d and give k.\nAnswer: 24036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -221*t - 108 + 396*t - 558 wrt t.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from {a: 4, b: 7, t: 5}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 4 - 3 = 0. Let o be 10\/(-40) - (33\/(-4))\/i. Suppose 0*q + 8 = 4*q. Solve 5*v + o = -q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -259  (c) -23\/254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000321766 rounded to 7 dps?\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4 - 34 = 0. Let g(y) = 4*y - 17. Calculate the remainder when g(8) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -43, -34, -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from mmvmmtmkv.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/4195 and 59\/235.\nAnswer: 197165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1847121, 3694248, 5541385, 7388538, 9235713?\n\"Answer: p**3 - p**2 + 1847123*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11058776*l - 11058776*l - 603*l**2.\nAnswer: -603*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8113933*q*r**4 + 7134175*q + r**4 wrt r?\nAnswer: 32455732*q*r**3 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**1)**(-48)*(f**(-1))**(-24))**10 assuming f is positive.\nAnswer: f**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 262\/3?\nAnswer: 262\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.46 + -0.06. Suppose -96*n + 116*n - 60 = 0. Let x be 4\/n - (-6 + 6 - -1). What is the nearest to 4 in h, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(7)*-1 - ((sqrt(175) + (sqrt(175) - sqrt(175)*-1) + sqrt(175))**2 - sqrt(175)).\nAnswer: -2800 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1156533*b**2 - 1279383 wrt b?\nAnswer: 2313066*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 609503977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 54\/40 - (-8)\/(-32).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 12:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**26*m)\/((m*m*m*m**13*m)\/m))\/(m\/(m*m**(-26)))**(-2\/5) assuming m is positive.\nAnswer: m**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7084 and 4048?\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 3.6. Let l = -0.087 - 0.113. What is the closest to 1\/4 in 5, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v - 6*v - 120 = 0. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88559 or -619914\/7?\nAnswer: -619914\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 615 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**5\/4 - 50*l**4 + 10573*l**3\/4 - 9913*l**2 + 7320*l = 0.\nAnswer: -244, 0, 1, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-2\/7)*v**(-8)*(v*v**(5\/2))\/v**3 assuming v is positive.\nAnswer: v**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -4*t**5 - 40*t**4 + 44*t**3 + 720*t**2 = 0?\nAnswer: -9, -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -6110878.51 to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -28945 - -3?\nAnswer: -28942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*x - 1350 = -4*x - 16*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**2\/5 + 126*l - 23732\/5 = 0. Calculate l.\nAnswer: -349, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/6)\/7 - (-24)\/(-18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34739 - 34742. What is the nearest to 2 in -4, -0.113, n?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 19. Let c = -0.3 + 0.1. Let o = c + 0. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100868805731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -672702 (base 10) to base 14\nAnswer: -137222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + (sqrt(2299)*1 - sqrt(19))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(392) - (sqrt(392) + 2)) + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6\/21541 - -18891421\/129246. Let b = 145 - z. Let v = b - 25\/6. What is the common denominator of -45\/4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27629313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3863263787?\nAnswer: 17, 19, 11960569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 + 26*i - 21. Let u be r(-14). Let p(n) be the second derivative of 0*n**3 + 1\/4*n**4 + 3*n**2 + 0 + u*n. Differentiate p(c) with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r + 19. Let l be n(8). Suppose -u + 9 = -l. Factor 25*o**2 - 4*o + 12 - 69*o**2 + o + u*o**3 + 23*o.\nAnswer: 4*(o - 3)*(o - 1)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6.047602 kilometers?\nAnswer: 6047602000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119513895, 239027793, 358541691, 478055589?\nAnswer: 597569487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -23.\nAnswer: -73\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*p = 54*p - 119*p. Does p = 2\/747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/3250405 and 3\/10.\nAnswer: 6500810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bsjbsjjjjjsssjjjs. What is prob of sequence ssjj?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**7)\/(u\/u**(-1\/9)))\/((u**(4\/11)*u)\/(u*u**(-9)*u)) assuming u is positive.\nAnswer: u**(-146\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 127522609 at least 127522610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-12))\/((-75)\/25).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 10*g - 40. Let d be q(4). Suppose d = 58*i - 53*i - 1335. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*y + 83 + 61 = 24. Let h(q) be the second derivative of -1\/6*q**2 + 0 - 18*q + 1\/36*q**y + 1\/72*q**4. Factor h(c).\nAnswer: (c - 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 6 - 3\/25*v**5 + 3\/5*v + 0*v**3 + 3\/10*v**4 - 3\/5*v**2. Find o, given that g(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/13 - 17\/26. Let x be -2 - (-3 + 2\/2). What is the smallest value in x, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 4*p**3\/3 + 11*p**2 - 3*p + 401. Let v(f) = -1. Calculate -4*c(q) - 88*v(q).\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 9) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 207 - 6 - 62*z - 26 - 440*z. Is c(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4, 4, 6, 10?\n\"Answer: q**2 - 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -97 + 97. Let l be ((-2)\/92)\/(27\/12). Are l and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from nddndpddp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32317 - 29632 = -1692*d + 94099 + 69326 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + 4 + 3)\/((-2)\/(-16)). Suppose 28*u - y*u = 20. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((1938\/12)\/(-19))\/(((-10)\/(-5))\/(-4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -36, 15, 108, 243?\n\"Answer: 21*g**2 - 12*g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let a be b(5). Suppose 0 = -f + 4*f, -a*f + 6 = 2*d. Suppose -5 = -3*w + 1. Solve -4*x - u = -14, -u = d*x - 2*x - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**5 + 42*k**4 + 302*k**3 + 870*k**2 + 992*k + 384 = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*r - 9*r + 4*r**2)*(4 - 2 - 1)*(2 - 2 - 1) as n*r**2 + c + b*r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 39253791 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -203 + 80. Let y = w - -203. Suppose y = 4*n - 8. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -105 + 107. Suppose 23 = d*g - 131. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3 - 4)*(4 - 3))\/13.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-10))\/(28\/(-20)). Let a = -0.5754 + 0.0754. Put x, 0.2, 0.5, a in decreasing order.\nAnswer: 0.5, 0.2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 958*l - 53993 - 43581 = -18060 for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.32 + 0.02. Suppose g + 0*k + 9 = 2*k, -3*g + 3*k = 18. Let i be 12\/36 + (-1)\/g. Which is the biggest value?  (a) -2  (b) s  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -2*t + 3*k, -3*t - 2*k + 307 = 235. Let u(o) be the first derivative of 0*o**4 - 27\/5*o**5 + t*o + 0*o**2 + 15 + 0*o**3. Differentiate u(m) wrt m.\nAnswer: -108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/39 and 19\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3409082 is divided by 426134?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 + 112*b + 2293. Give t(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18052 = 23*s - 3131. Which is smaller: 922 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000182996 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -340 divided by 170.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -2*w**3 - 1924. Let k(d) = d**2. Let u(r) = 5*r**2. Let z(a) = 3*k(a) - u(a). Calculate z(b(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 12, s: 1, q: 1}. What is prob of picking 2 c and 1 s?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 0*b**5 + 0 + 0*b**4 - 1\/15*b**6 + b**2 + 0*b**3 - 2*b. Find the first derivative of f(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*y - 1. Let g(t) = -5*t - 3*t**y - 4 + 3*t + 4*t**2. Suppose -3*d + 1 = -8. Calculate g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 183 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, h: 3, y: 1, z: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*h - 10*h + 10*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/3389 less than 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**3 + 2*r**3 - 3*r**3)*(-2282 + 73621*r + 73616*r - 147235*r).\nAnswer: -2*r**4 + 2282*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15162780 divided by 5?\nAnswer: 3032556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -19*c**3 - 2*c**2 + 4*c + 4. Let m be -10 - (-3 - (9 + -6)). Let v(g) = 18*g**3 + g**2 - 3*g - 3. Determine m*v(k) - 3*o(k).\nAnswer: -15*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z, -2*t - 6 = -5*t + 2*z. Suppose -4*y = -y - 3*j - 21, 2*y - 34 = -t*j. Let r = y - 8. Sort -1, r, -5.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27.3 - 27. Let u = -7 - -10. Let d = u + -2. Which is the closest to d?  (a) x  (b) -2\/21  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19623 is divided by 143?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 260, 738, 1518, 2588, 3936, 5550, 7418?\n\"Answer: -2*w**3 + 163*w**2 + 3*w + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49523953051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {v: 16, a: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -9593904 take away -13?\nAnswer: -9593891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1 + sqrt(1331))**2.\nAnswer: -22*sqrt(11) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 601161464.\nAnswer: 2, 75145183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u. Let o(i) = i - 3. Let p(v) = 1. Let a(x) = x**3 + x**2 - 2*x - 1. Let j be a(-2). Let y(l) = j*o(l) - 3*p(l). Determine z(y(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -57\/4253 or -1?\nAnswer: -57\/4253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(((-2)\/1)\/(224\/16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41851 - -147018. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5249457 * 0.022.\nAnswer: -115488.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 72667 equal to -3375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/414771 and -167\/168?\nAnswer: 3318168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, p: 4, i: 2}. What is prob of picking 1 p and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 156 and 6708?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -86546835.31 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 - 0.7. Let h = 0.1 + 0.3. Let i = 5\/7 - 1. Which is the nearest to i?  (a) h  (b) o  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5*o**3 - o**2 - 1. Let x be t(-2). Let m be (x\/30)\/(1\/(-2)). Solve -4*p + 2*p - 13 = -m*b, 3*p - 6 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 3*z**4 + 9*z + 389610*z**2 + 2*z**3 - 389610*z**2 as m*z**4 + d*z**3 + i*z**2 + o*z + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 2*h + 1. Let w be a(3). Suppose 3*q + 2*q = 5*o + 10, 2*q - 22 = -4*o. Sort w, 1, q.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1068 is divided by 135.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.107869 * -0.01922\nAnswer: -0.00207324218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 10*r**2 - 12*r + 13. Let q be (-18)\/(-72) - (-43)\/4. Let v be c(q). Suppose 4*h = v*l - 222, -309 = -3*l + 3*h - 5*h. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22000131 + 10?\nAnswer: 22000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36597 is divided by 366.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/3, -0.02, -0.4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 968593067, 968593069, 968593071, 968593073, 968593075?\nAnswer: 968593077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21607, 21596, 21571, 21526, 21455?\nAnswer: 21352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 53977196 and -2367075.\nAnswer: 51610121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/40)\/(24\/304). Let f = 5\/2 - q. Let s be -6 + 3 + 1 + 2. Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 2*b + 4 = -2*i, -4*b = -3*i - 6. Let d = -187\/5 + 37. Let k = -0.2 + 0.1. What is the nearest to i in d, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 13848\/31 and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2031\/1354*(-6)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p + 3. What is t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 675 is divided by 131?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 3*v**2 + 4*v + 7. What are the prime factors of s(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1864 = -8*a - 1160. Let t = a - -409. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -316 - -1313. List the prime factors of p.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1242\/702*(-1596)\/874.\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + z - 19 = -i, -12018*i = 4*z - 12013*i - 24 - 65 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 119860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209754?\nAnswer: 2, 3, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 9:51 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5605 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**5 - 3500*w**4 - 259100*w**3 - 1467460*w**2 - 2641056*w - 1429200 = 0. What is w?\nAnswer: -794, -75, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 12 = -7*r. Suppose 0 = 9*d - 10*d + r. Solve d*k - 17 = -2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 119 and 483.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2317\/4 less than or equal to 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -59125, -118252, -177379, -236506?\n\"Answer: -59127*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 52\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 0)*(3 - 1). Let r be ((-18)\/(-10)*-1)\/(72\/(-12)). Which is the nearest to 1?  (a) m  (b) 5\/3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {x: 5, c: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -7*m + 3. Let l(z) = -19*z + 8. Let p(t) = -3*l(t) + 8*w(t). Let j(y) = 5*y**2. Determine j(p(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tqttqqvvvtd. What is prob of picking 1 d and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 17*t - 61. Calculate w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3835594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 23*y**2 - y - 2. Let v be u(-3). Let r = v + -405. Let t = r - -286. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a. Let u(v) be the first derivative of 0*v - 7\/2*v**2 + 8. What is u(s(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0. Let v = -61 + 9. Let a be ((-2)\/78)\/(5\/(v + 7)). Is a != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 7 + -1 + 3 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n - 7. Suppose 2*d + 6 = 3*q + 49, 5*q + 73 = 4*d. Let v(a) be the second derivative of 7*a**3\/6 - 15*a**2\/2 - 227*a. Give q*z(w) + 6*v(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j = 4*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.09  (b) 2\/7  (c) 80  (d) -0.1  (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*f**3*m + 92*f**3 - 8*f**2 + 24*m + 46 wrt f?\nAnswer: -12*f**2*m + 276*f**2 - 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(3\/5)\/j)*j)\/j**12)\/(j**0*j**(1\/6)) assuming j is positive.\nAnswer: j**(-293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*o + 3 = 0. Let k = -1041\/158 + -30\/553. Find the common denominator of k and o - (51\/2 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4216 and 12648.\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5884 is divided by 281.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2*j - 4*n + 6, 5*j + 3*n = 6. Let c = 354 + -263. What is the remainder when c is divided by -1 + j + 8*3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8478605 millennia to years.\nAnswer: 847.8605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -124*t**5\/5 - 2078*t**4\/5 + 464*t**3\/5 + 32992*t**2\/5 + 4864*t + 4096\/5 = 0. What is t?\nAnswer: -16, -4, -1\/2, -8\/31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 0) + (35 - 10) + 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 601011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ukpj when four letters picked without replacement from kpkukpkjkduukup.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 43110 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 4116*g**2 - 8735*g**2 - 6628*g**2 + 4*g - 4*g in the form v*g**2 + p + u*g and give v.\nAnswer: -11247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (333 + 410*a - 1014 + 345 + 340)*(a + 3 + 1 - 3).\nAnswer: 410*a**2 + 414*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4185 = -8*w - 19*w. Calculate the remainder when 604 is divided by w.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 3 = -12. Let y(s) be the second derivative of s**3\/6 - s**2\/2 + s. What is the units digit of y(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 8:44 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*b - 67*b - 2201 = -10793 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 + 91. What is the least common multiple of 24 and x?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26879577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*y + 40*y + 192. Let w = -1 - 0. Let k = 23 + w. What is the least common multiple of k and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -117*t**2 - 1018*t - 259083. Let i(u) = -58*u**2 - 1. Let x(o) = -2*i(o) + q(o). Factor x(g).\nAnswer: -(g + 509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 8*j + 3*p = 0, -4*p = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -23683337 or -23683342?\nAnswer: -23683337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 34. Let h be 174\/10 + 3\/w. Let u be 3*(25\/(-15) + 3). Solve -4*o + h = -8*i + 3*i, -u*i = o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7612*t = -5266 - 527574 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1832237167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -1) + (40 - (52 - -15)) + -12?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k**2 - 41*k - 23. What is s(-17)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4161369 rounded to the nearest 1000?\nAnswer: 4161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 30  (b) 1  (c) -4\/3  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.70889 to 1 decimal place.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 divided by -11321?\nAnswer: 134\/11321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 4 = 2*b, z + b = -2*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y. Let i(g) = -g + 1029302. What is u(i(q))?\nAnswer: -3*q + 3087906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 23 + 9 = 0. Suppose -k + 3*k - o = 0. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -371373 - -371376. Let i = 37\/150 - 2\/25. What is the closest to 1 in g, -2\/11, 1\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - p = -0*c - 7*p - 107, -238*p + 243*p + 60 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 9 - 2*y**2 + 26*y + 2\/3*y**3. List the prime factors of s(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 h, and 1 c when four letters picked without replacement from eecrhcc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, t: 1, o: 1, x: 2, m: 1}. What is prob of sequence xc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*v**2 + 399*v + 558.\nAnswer: 3*(v + 2)*(20*v + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 487\/3, -3 in descending order.\nAnswer: 487\/3, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 120784*i*x**2*y**2 + 28*i*x*y**2 - 2*i*y - 9*x*y + 43*y**2 - 1 wrt x?\nAnswer: 241568*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(133)\/((sqrt(7) + sqrt(28))*-1).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 (base 8) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 244 + 34\/14 + (-12)\/28. Suppose -2*n - 50 = u. Let k be n\/(-300) - (1*-3)\/(-9). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**5\/450 + f**4\/180 - 2*f**3\/3 - 3*f**2 - 52*f. Factor s(j).\nAnswer: 2*(j - 5)*(j + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 1. Let p be s(2). Solve 0 = -p*c + 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41, -61, -97, -149, -217?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57346403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + 1 + sqrt(11)) + sqrt(99)\/sqrt(81)*-4.\nAnswer: -5 + 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l**4 - 6*l**3 + 24*l**2 - 26*l + 9. Let w(g) = g**4 + g**3 + g**2 - g. Let z(q) = -4*w(q) + 2*x(q). Let z(i) = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l**2 - 5*l - 7 + 0 + 4*l**2. Let y = 61 - 55. Calculate f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 120\/273 + ((-6)\/(-39))\/(-1). What is the smallest value in w, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-122)\/(-3) + 40\/(-15). Solve -2*v = b - 48 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1140, 2\/7, 4 in decreasing order.\nAnswer: 1140, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96*p + 136*p**3 - 96*p)*(35 - 59 - 40).\nAnswer: -8704*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + p**2 + 0 + ((3*p - 3*p + p)*(38*p - 83*p + 37*p) + 8*p**2 + 2*p**2 + 6*p**2)*(1 - 2 + 3).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrrrrrrrrllrr?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 161410\/7 - 23058. Factor 0*x - 2\/7*x**4 + 0 - c*x**3 - 2\/7*x**2.\nAnswer: -2*x**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000071 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -25*b. Let c be q(-1). Let a = -19 + c. Suppose -4*j + a*j - 48 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 - 92 = -5*b + 4*l, 2*l - 134 = -4*b. Which is greater: b or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 3) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -8*l**2 + 864*l + 20483. Give m(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 222, 443, 664, 885, 1106, 1327?\n\"Answer: 221*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.14703ml in litres?\nAnswer: 0.02114703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33433222 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1699607 is divided by 3769.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 104 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1659477632?\nAnswer: 2, 19, 139, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -974, -1493, -2004, -2507?\nAnswer: -3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27608*q**5 + 313441*q**2 wrt q?\nAnswer: 1656480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oekkkoclilcloklell. What is prob of picking 3 k and 1 c?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ufeu when four letters picked without replacement from feouus.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is 12963527411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 23*r + 62872 = 0. Is 3 a factor of (-12)\/(-20) - 1 - r\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3)\/(k**(2\/5)\/k))\/((k*k**(-1\/9))\/(k*k**(4\/7)*k))*(k**(-3\/7)*(k*k**(2\/7)*k*k)\/k)**(-44\/5) assuming k is positive.\nAnswer: k**(-5374\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-6))\/(12\/54). What is the units digit of ((-9)\/6)\/(-1*t\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(108) + sqrt(3)) - 2*sqrt(4050))\/(sqrt(100)\/(sqrt(10) + sqrt(80)\/sqrt(8)) - sqrt(10) - (sqrt(280)\/sqrt(7) - sqrt(10))).\nAnswer: 250*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/2 and -35\/179?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - 9 - (2 - 1). Let t(h) = h**2 + 5*h + 5. Let n be t(u). Sort n, -0.1, -16, 0 in ascending order.\nAnswer: -16, n, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111545653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*d = 73*d - 72*d + 3328 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -2*q - 5*u, -44*q - 4*u + 4 = -45*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33617\/9 - -3731. What is the common denominator of h and 9\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 10:44 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -18*m. Let d(s) be the first derivative of -s**2\/2 - 2. What is d(v(w))?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33226004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-2))\/((-18)\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21140.\nAnswer: 2, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of -17*g**6\/10 + 29*g**3\/2 - 144*g. Find the second derivative of y(w) wrt w.\nAnswer: -612*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220008986.\nAnswer: 2, 110004493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -o + 5056, -13 = -b - 6. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-28)\/12 - (-8)\/(-12). Let r = 0.9 - -0.1. Which is the second biggest value?  (a) -5  (b) z  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/((sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2)))*-1))\/(-2*(sqrt(6) - (sqrt(600) + sqrt(600) + sqrt(600) + -4*sqrt(600)))).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/5 + 130\/(-50). Calculate the remainder when 44 is divided by 129\/9 - 2\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, p: 2, w: 4}. Give prob of sequence wsw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*d**3*f - 3204*d**3 - 3*f**4 - 4*f with respect to f.\nAnswer: -5*d**3 - 12*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/9119 + -784255\/191499. Let i = -810 - -5694\/7. Let j = k + i. Which is the third smallest value?  (a) j  (b) 0.3  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, r: 11}. Give prob of picking 3 r.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 divided by 2251.\nAnswer: 64\/2251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 4*n + 11. Let p be t(-4). What is the nearest to 1 in p, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.15 * -1129.5\nAnswer: -169.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -187, -336, -453, -538, -591, -612?\n\"Answer: 16*d**2 - 197*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9*(13 - 11)\/18. Is -3\/530 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 827 (base 13) to base 2\nAnswer: 10101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*u**3 + 3*u**3 + 44 - 72 - 235 - 5*u**3 in the form l + b*u**2 + j*u**3 + q*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1930954 + 22?\nAnswer: 1930976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95607*v - 95607*v - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i + 10. Let r be t(-9). What is the tens digit of ((-34575)\/(-10))\/15 + r\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2 + k + 4 - 5. Let x be w(8). Suppose -x*z = -6 - 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -131 - -138. Let s(k) = k**3 - 3*k**2 - 7*k + 43. Is 38 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 236 and 1726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-3 - -34) + 1 + -19 + 23.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 257891958 and 5.\nAnswer: 1289459790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 16*g + 72393 = -3*d, -4*g + 57912 = -2*d. What are the prime factors of g?\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-562)\/12 - (-77184)\/1608\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 9 - 4*f + f**5 + 4*f - 8. Let l(v) = 22*v**5 - 15*v**2 - 3. Let n(d) = -l(d) - 3*u(d). Find the third derivative of n(j) wrt j.\nAnswer: -1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48*r**2 - 17*r**2 - 7*r + 8 - 12*r**2 - 212*r**3 - 17*r**2 + 6*r to the form t + y*r**3 + x*r**2 + p*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*(4\/(-8) + 2). Suppose 2 = -w + f. Suppose -3 = -s + w. Solve -j = -2*c + 5*c + 1, 5*j + 5 = s*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 47*t**2 + 302*t + 412. Give r(-38).\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700)*-1 + 2)**2 - (sqrt(68)\/sqrt(4)*1 - sqrt(17)*-2*-5).\nAnswer: -31*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -1\/4, -0.2, -0.7, -18, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 3*a. Suppose a = 2*z - 6 - 0. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 112 - 208. Let r = a - -92. Let p(l) = 9*l**2 + 29*l + 34. Let b(u) = -8*u**2 - 28*u - 33. Let t(g) = r*b(g) - 3*p(g). Determine i so that t(i) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/55*(170\/10)\/51?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 11:28 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-492)\/(-287)*14\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {m: 1, z: 2, n: 3, x: 1, o: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98.9 - 96.9. Which is the nearest to 1\/2?  (a) -0.4  (b) 0  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, -2, 10, 1, -5, 3, 403.\nAnswer: -5, -2, 1, 3, 10, 53, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + ((0 - (8 - 16)) + 5 - -8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5091 + 7808. List the prime factors of x.\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211435 is divided by 105705?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.54?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 128901748387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -6450487*l. Let p(i) = -2*i**2. Determine v(p(m)).\nAnswer: 12900974*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 30012132201 (base 4) in base 7?\nAnswer: 35651364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**4\/7 - 4216*y**3\/7 - 1782806*y**2\/7 + 484148328*y\/7 + 485926920\/7 = 0.\nAnswer: -1146, -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -5*m - g, -4*m = -m + 5*g - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**2 + 2904*h = 0?\nAnswer: 0, 2904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*p = -w + 79*p + 26, -2*w + 3*p - 25 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hynnrrrrnoynnnnnn. What is prob of sequence nrr?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-1*sqrt(832))**2 + 1) + -3.\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-16)\/(-6))\/(0 + (-2)\/(-3)). Suppose 5*v - 635 = -5*h, -s = -h - 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 - -82. Let u = -35 + s. What is the remainder when 117 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*v + 32, 5*w = 20*v - 21*v + 16. Calculate the least common multiple of v and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3959176 and 7766076?\nAnswer: 201917976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -9*o**2 + 1. Let j(p) = 21*p. Give j(r(g)).\nAnswer: -189*g**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 10, j: 2}. Give prob of picking 2 g and 2 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + 11)*5\/10. Suppose 3*q + 4*u + 14 = 0, 0 = f*q - 3*u + 1 + 1. Is (108 + (0 - q))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrwrwwraw. What is prob of sequence ra?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -2. Let z = l - -22. Suppose 2*p - z = -p. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*n - 10. Suppose 4*r + n*u = 3*r - 10, -3*r = -2*u - 4. Solve r = 5*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 a factor of 1751778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (163212\/(-1176) - -139)\/(3\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60234.46 weeks in seconds?\nAnswer: 36429801408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -2 - (-3 - (-6 + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 796216, 796178, 796150, 796138, 796148, 796186, 796258?\n\"Answer: q**3 - q**2 - 42*q + 796258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19070*t + 19068*t - 3 + 30 = 9*f, 2*f + 56 = 3*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 616 = 3*f, 343 = 5*f - o - 685. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000000011000000 (base 2) in base 9?\nAnswer: 50182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-42)*85047)\/((-142)\/497) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**5\/3 - 70*h**4\/3 + 230*h**3\/3 + 70*h**2\/3 - 76*h = 0. Calculate h.\nAnswer: -38, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 397634 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 293 = 4*s - 5*g, -24*s + 25*s + 3*g = 69. What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from bttfttbsssfbsbb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5535, 13847, 22159, 30471, 38783?\n\"Answer: 8312*k - 2777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 8)*(0 + 4 + 0)*(-5 - 3*m + 5) to x + h*m and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -0*d + 102. Let b be -514*(21\/(-30))\/(-7). Let o = d + b. Sort o, 2\/7, -0.3 in increasing order.\nAnswer: o, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42 - -30. Suppose 0 = -0*p - 3*p + 30. Let c = y + p. Are -3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 609.4039 decades to years.\nAnswer: 6094.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 + p**2 + 16 - 33 - 10*p - 3*p**2 to the form o + i*p + f*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-5 - -3) - -1. Let k be o\/3 + (-3)\/9. Suppose 3*w - 6 = -k*w. Solve a - r - w*r = -10, -10 = -3*a + r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(625) - sqrt(625)*2) + sqrt(625) + sqrt(25))\/(sqrt(720) - (sqrt(720) + 2*sqrt(720))).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 18*k**2 - 3*k + 5. Is 13 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + x + 7*x**2 + 0 - 4*x + x to p*x**2 + z*x + k and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**2 - 5380681. Let z(y) = -2*y. What is q(z(m))?\nAnswer: -8*m**2 - 5380681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 1. Let r(z) = -7*z**2 + 3*z + 7. Calculate -5*o(i) + r(i).\nAnswer: -2*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*z - 20*z + 22. Suppose -z*b + 19 = 3*j - 14, -j + 11 = 3*b. Solve 3*g = i + j, -2*i + 2*g - g = 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 7*j**2 - 25*j - 61. Let h be w(-2). Is 22 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w + 4*w - 2*w. Let t(s) be the second derivative of -s**3\/6 + s - 26. Let k(q) = 15*q. Let i(b) = -3*k(b) - 6*t(b). Determine i(c(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 4 = -3*c. Suppose -4*p + 3*f = -9*p + 28, 3*p - 32 = c*f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11067305 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 7*h**2 - 225*h - 154. Give p(33).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12 + 1)\/(21\/42). Let d = 70 + t. 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: Let a(x) be the second derivative of 0 - 11\/27*x**3 - 2\/9*x**2 - 8\/27*x**4 - 7\/90*x**5 - 4*x. Let a(d) = 0. Calculate d.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(720) + (sqrt(180) + 2*sqrt(180) + sqrt(180))\/sqrt(4).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53406722 is divided by 108330?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (168 - 160) + -11 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 6:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/20026496 and -125\/938742.\nAnswer: 60079488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -6*y**2 + 20*y + 3. Suppose 2 = i + 3. Let c be 1\/(-2)*(i - 3). Let f(o) = -o**2 - 5*o**c + 4*o**2 + 7*o + 1. Determine 17*f(x) - 6*l(x).\nAnswer: 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b**2 - b**2 - 5*b**2)*(b**2 + 0*b + 0*b) - 4*b - 10804*b**4 + 3*b + 10540*b**4.\nAnswer: -266*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/9)\/((p*p**2*p)\/p))\/((p**(-12)*p*p)\/(p\/p**(4\/5))) assuming p is positive.\nAnswer: p**(334\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4*x - 0*x + 645, -5*x = -2*p + 225. Suppose -i - p = -131. Calculate the remainder when (-110)\/(-5) - (i\/(-3) - 0) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/4 - 3*f**2\/4 - 4*f + 12.\nAnswer: (f - 4)*(f - 3)*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24556 by -3508.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -74 - -1351. Suppose 5*w - 2648 = c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 183 - 183.011. Let p = c - 2.189. Let t = -0.5 - -0.6. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -793319*c**4*g**2 - 149*c**2*g**3 - 2274*c*g**3 + 27*c*g**2 - 2*c*g + 14*c + 2*g**3 wrt c.\nAnswer: -9519828*c**2*g**2 - 298*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 8:34 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2371170130 to the power of 1\/2, to the nearest integer?\nAnswer: 48695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -11. Let g(r) = -r + 23. Let n be g(13). Is t at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -868397153*p**4 - 583834538*p?\nAnswer: -10420765836*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(12) + sqrt(3) + sqrt(3))**2 - (sqrt(300) + 1)**2.\nAnswer: -541 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*-0.4.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4925*m = 4930*m - 2*y - 355318, -284267 = -4*m + 3*y. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 322758 and 215172?\nAnswer: 645516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, y: 6, t: 1}. Give prob of sequence ey.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 5*v + 3*v)*(7 + 8 - 4) + v - 3*v + 0*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1867435?\nAnswer: 5, 373487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lbt when three letters picked without replacement from {e: 3, l: 2, a: 1, b: 3, t: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k\/k**(-1\/18)*k*k)\/k*k)\/k*(k**(1\/4)*k)\/k)**(-13\/2) assuming k is positive.\nAnswer: k**(-1547\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a gram in milligrams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 19*b**2 + 9. Let d(p) = p**3 - 2*p**2 + 2*p + 1. Let a be d(2). Suppose 0 = 4*x + a*x - 27. Is 19 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10828 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 76 = 4*m, -6*m = -4*v - 2*m + 188. Let h = 12 + -8. Calculate the greatest common factor of h and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s - 1. Let p(f) = 4*f + 131. Calculate -p(b) + 6*y(b).\nAnswer: 8*b - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -13*g + 616. Give r(75).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/1352 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.23, -0.047, -3, 36 in decreasing order.\nAnswer: 36, 0.23, -0.047, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(20\/(-8)))\/(-9)*40\/(-4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -3*d**2 - d + 3. Let k be (-12)\/2 - (-10 - -6) - 5. Let v(x) = -x - 4. Let t be v(k). Give m(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*c - 235*c + 479*c + 747*c + 590*c to the form l*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 20, -11, -781 in increasing order.\nAnswer: -781, -11, -5, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111300222 - 21?\nAnswer: 111300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 406*q + 4*s + 44 = 410*q, 2*s + 2 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 61917488 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2929 < 2930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 183\/(-2) - (-3)\/6. Let t = -543 + 941. Let k = t + q. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 50*w. Let f(t) = -895*t + 12. Give a(f(c)).\nAnswer: -44750*c + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*n**3 - 318 - 241 - 214 - 5*n**2 - n.\nAnswer: -12*n**3 - 5*n**2 - n - 773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus -7750?\nAnswer: 7750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/8, 2, 68, 16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 12*d**3 + 8*d**2 - 1292*d + 3866. Give j(3).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((20\/4515)\/(-4)). Let v = b + 1723. What are the prime factors of 2\/(-4) - v\/(-8)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59411 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 4, -0.208.\nAnswer: -0.208, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -237\/8 + 30. Let k = 13.331 + -13.4. Let q = 1.069 + k. Which is the nearest to q?  (a) 3  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 73*w**2 + 221*w + 839. What is the ten thousands digit of s(78)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -399 and 0.1?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 2*u + 15. Suppose -5*n + 36 = u*y - 49, 4*n = -y + 75. Suppose 4*h = -n + 180. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 20. Let b(k) = -11 + 6 - w - 11 + k. Give b(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 540\/(-63)*(-553)\/790.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/2)\/(6\/(-6)). Let o be (i - -3)\/1 + 5. Let r(m) = -3*m - 64. Let v(a) = 2*a + 48. Let h(w) = 3*r(w) + 4*v(w). Determine h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5349509.\nAnswer: 11, 17, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from {s: 4, z: 3, v: 6}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*v + 7 = 70*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16336 + 1?\nAnswer: -16335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/13944 and -34\/58847.\nAnswer: 9886296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from agamaaaaamaaamgaaa. Give prob of sequence agg.\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3782232 divided by -401\nAnswer: 9432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -361 = 4*o + 183. Let q = -79 - o. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -4*i - 3. Let g be m(-4). Suppose 5*a - g = 7. Let c = -4 + a. Solve j + j - 8 = c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8 - -4) + (0 - -8). Suppose c*s = 5*i + 92, -4*s - 3*i + 124 = -0*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(252) + -6*(sqrt(252) + -4)**2 + 6*(sqrt(252) + -1)**2 + sqrt(252) + 3.\nAnswer: -86 + 228*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2829 divide 98085161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 7*l + 2. Suppose 35 = -o + 6*o. Let a be w(o). Suppose r + 223 = a*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19\/200 - 1\/200. Let f = 22717 - 22721. Which is the smallest value?  (a) f  (b) w  (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + 12 - 1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l**2 - 59*l - 441. Is n(-13) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1611 by 116679.\nAnswer: -537\/38893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of o**4\/24 - 3*o**2\/2 + 4. Let d(k) be the second derivative of h(k). Let u(a) = a + a - a + 0. What is -5*d(w) + 6*u(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 72*w - 41 + 251. Which is the smallest value?  (a) 6\/11  (b) w  (c) 4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -t**9\/3780 - t**8\/336 - t**7\/105 - 43*t**4\/6 + 242*t**2. Let i(n) be the second derivative of k(n). Factor i(h).\nAnswer: -4*h**2*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110202 (base 3) to base 7\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 1 = 5*m. Let t = m + 7. Solve -6 = -t*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1889754\/35 - 53989. Is 4 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 74133 and 815463.\nAnswer: 815463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-160))\/(49\/(-8) + 4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293854, -293805, -293758, -293713, -293670?\nAnswer: -293629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/3)*q*q**(-8)\/q*q)\/(q\/(((q\/(q*q\/q**(2\/7))*q)\/q)\/q)*q*(q**(-7)*q)\/q) assuming q is positive.\nAnswer: q**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13300 (base 6) to base 14.\nAnswer: a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 97.33495um?\nAnswer: 0.00000009733495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + g = -0*p + 48, -3*g + 80 = 5*p. Let b(z) = -z + 112. Let v be b(0). Calculate the highest common factor of p and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28851.8l in millilitres?\nAnswer: 28851800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11054 + 11058. What is the second smallest value in 1\/6, -3, -9, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + -17. Let x be 8\/h*(4 - 1). Let n = -0.1 - -0.6. Which is the closest to x?  (a) 1  (b) -0.2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3*q = 6, 5*q = -0 - 5. Sort c, 3, -2 in ascending order.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, h: 1, c: 1, u: 6, b: 1}. What is prob of sequence shbu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*v + 87*v - 315 = 0. Let b be 1\/((-12)\/v)*144\/(-90). Let -1\/6*x**3 + 1\/6*x**b + 0 - 1\/6*x**4 + 1\/6*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18126237 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/12)\/(1\/(-12)). Suppose 0 = n*w, 8 = -s - s + 2*w. Let m be -1 - (-3)\/(-9)*s. What is the second smallest value in 0.5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5030 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) 3  (b) 1\/29  (c) -38  (d) 2\/11  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 4:14 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -4*i + 3144 - 1119, 3*i - 803 = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 10*w + 55. Let i(s) = -2*s - 12. What is 4*a(y) + 18*i(y)?\nAnswer: 4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2503, -4904, -7305?\n\"Answer: -2401*r - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -454 + 2?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + -4*6*(sqrt(180) - (1 + sqrt(180)))*3.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s - 4. Let j(v) = -2*v - 2. Let d(g) = -3*g**2 + 12*g + 27. Let n be d(6). What is n*j(c) + 4*u(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 543.1894 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 419*f**2. Let r(k) = -31*k. Determine i(r(o)).\nAnswer: 402659*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5641, -11292, -16937, -22576?\n\"Answer: 3*p**2 - 5660*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -5d8?\nAnswer: -5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2386718, 4773495, 7160272, 9547049, 11933826, 14320603?\nAnswer: 16707380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2231162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.171 in -30, -2, 346, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) -0.07  (c) -6\/7  (d) -3  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 7, -1\/8, 13, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 10*i**2 - 12*i - 91. Let a be c(-11). Let n be ((-6)\/4)\/((-8)\/a*-5). Factor -2\/11*o**n - 2\/11*o + 0 - 4\/11*o**2.\nAnswer: -2*o*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(144\/42) + 187\/34. Let m(h) = 2*h**2 + 6*h - 7. Let q be m(-5). Solve 13 - w = -3*g + b, 4*g + q = 3*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.01 - 41.01. Let d = r + 40.7. Let c be -4*(1 - 12\/15). What is the third biggest value in 5, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/4646124 and -115\/112.\nAnswer: 18584496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 271, 412, 553, 694?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, 3\/7, 4, 6, 44, -2\/3 in ascending order.\nAnswer: -2\/3, 3\/8, 3\/7, 4, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1436 + -250. List the prime factors of x.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/27207 and 50\/63.\nAnswer: 190449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 290*a - 1545*a + 857*a - 1990*a - 124176 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 40.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 3 - 1) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**6\/120 + o**5\/5 - 3*o**4\/4 - 19*o**3\/6 + 14*o**2. List the prime factors of d(-13).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (69\/(-9))\/(13\/(-39)). Let s be ((-2)\/8)\/(31\/(-124)). Calculate the greatest common factor of a and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - -2 - (-5 + 4). Suppose h*x + 10 = 0, 3*x - 44 = -g - g. Suppose -7*r = -2*r - g. Solve r*u = 4*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 557  (b) 13  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -3.7. Let w = -1032\/5 + 206. What is the second biggest value in -3\/20, g, w?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 47863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*r + r + 3*r)*(-4 + 2 + 1) + (-3 - 1 + 3)*(2 + 21 - 16 - 8*r)*(-227 + 177 + 169) as u*r + d and give d.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 1352 = a - 1349, f + 3*a + 13 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 11*k**2 - 49*k - 9. Let s be d(9). Let w = s - 72. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000883 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.027123 = 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60 + 60.3. What is the closest to -1\/3 in x, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 1262110012?\nAnswer: -1262110006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58.2891 - 58. Round y to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62509 + -43760. List the prime factors of q.\nAnswer: 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2882 and 586880?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 71521.19l in millilitres?\nAnswer: 71521190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95483.61ms to nanoseconds.\nAnswer: 95483610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**12*p*p**4*p\/(p**3*p)*p*p*p**1*p*p*p assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 7 = 2. Let b(p) = p**2 - 5*p - 4. Let c be b(n). Let s(y) = -y**2 + 2*y + 4. Let t(z) = z**2 - 2*z - 5. Let x(l) = c*t(l) - 5*s(l). Factor x(o).\nAnswer: o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) -0.2  (c) 1\/43  (d) 0.23  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 9:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8164 rounded to 2 dps?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, -2\/11, 0.5, 15 in descending order.\nAnswer: 15, 0.5, 1\/8, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 885301012?\nAnswer: -885301008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 170 = -0*p. Let j = p + 88. Solve -j + 1 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - -0.3. Let k = 2.262 - -0.48. Let w = 0.258 + k. What is the smallest value in w, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(3*z - 4*z + 0*z) + (-1 - 2 + 0)*((3 - 2 + 1)*(-1 + 1 + z) - z - 3*z + z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from rrjjrjrrrrrrrrrjrj?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h + 14. Let z be y(-7). Suppose -4*r - 3*f = 6, r = -z*r + 4*f + 8. Suppose 4 = -r*u + u. Solve 8 = -2*a + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 179\/681 - -16\/227. Let i(u) be the second derivative of 0*u**3 + 0 - 3*u + a*u**4 + 3\/2*u**2. Let z(b) = b**2 + 1. Calculate -4*i(q) + 14*z(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*(2895\/(-60) + 28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 87*h**2 + 11*h*z**3 - 15*h - z**3 + 304*z + 2 wrt h.\nAnswer: 174*h + 11*z**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -334472.272 - 321.\nAnswer: -334793.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6044, -24326, -54806, -97490, -152384, -219494?\n\"Answer: -u**3 - 6093*u**2 + 4*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3057*z - 27 = -3066*z. Solve -4*c + 10 - 1 = z*h, -2*h = -c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2, -88, -248, -478, -778?\n\"Answer: -35*f**2 + 15*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, 6\/5, -3, -0.011, -0.4.\nAnswer: -3, -0.4, -0.011, 0.01, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, -541 in descending order.\nAnswer: 6, -2, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -502*r - 5. What is the units digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*z**2)*(3 - 7 + 2 + (-2 - 3 + 6)*(4 - 1 - 1) + 1 - 2 + 4 + 0 - 1 + 8).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 212699287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2177284 is divided by 4032.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**3 - 4*r**3 + 2*r**3 + (2*r**2 - r**2 - 3*r**2)*(270*r + 1495348 - 1495348) + r**2 + r**3 - r**2 + (3*r**2 - 5*r**2 + 3*r**2)*(-2*r - 5 + 5).\nAnswer: -542*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/6)\/(62\/279) + (-56)\/35.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1038609 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1661328.684 rounded to the nearest one thousand?\nAnswer: -1661000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000020112 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 33462 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1948085*c**5 + 266*c**2 - 1241*c wrt c?\nAnswer: 116885100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 495*n**3 - 523*n**3 + 54*n**3 - 4*n + 50*n**3 + 4*n.\nAnswer: 76*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41508 divided by 4.\nAnswer: 10377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5625 is divided by 1397?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7 = o, 8*m - 10*m - 43 = -3*o. Solve -2*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrhhhhhhrrrhrrhrrhr. Give prob of picking 2 h.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*m + 140 = -4*h + 6*m, -72*h - 2 = -70*h - 4*m for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -779 not equal to -73167\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(8\/(-240)*-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o - 22. Let r be 27\/18*(-56)\/(-6). Let u be (1 - 8) + (12 - r). Give v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 9 - 23 + 18*l + 5 + 9. Suppose -5*m = m + 6. What is w(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-295747)\/129597 - 5\/(-3).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/17 - 3860*j\/17 - 153582\/17.\nAnswer: 2*(j - 1969)*(j + 39)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/11  (b) 22  (c) -33  (d) 0.81139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3)*(-k + 3 - 3) - 2*k + 2*k - k + (0*k - k - 2*k)*(6 + 0 + 1).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2298 + 2300)\/((-2)\/(-33))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(v**2 - v**2 - 2*v**5) - 1 + 6*v**5 + 1 + (5*v**3 - 4*v**3 - 4*v**3)*(4*v**2 + v**2 - 2*v**2).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/2 + -7*(-304)\/504. Let i = 3 - 1. Which is the biggest value?  (a) y  (b) i  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000052071 to 6 decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 8*v**2 - 6*v + 3. What is m(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.068374mm to centimeters.\nAnswer: 0.4068374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -205 (base 9) in base 12?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**1)**26*(g\/(g\/g**(3\/7)))**(-35) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 4:31 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 30*y**2 - 175*y - 230. Let h(o) = -5*o**2 + 29*o + 38. Let l(s) = -25*h(s) - 4*t(s). Factor l(v).\nAnswer: 5*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37666576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 9 + 12 + x)*(-41 + 16 - 23).\nAnswer: -48*x - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)*-2 - 2*sqrt(117) - (6*(sqrt(52))**2 + -4).\nAnswer: -308 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**5\/20 - f**4\/2 + 7*f**2\/2 - 2*f. Let d be i(-6). What is the highest common divisor of 42 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 96 = 3*b. Calculate the remainder when 141 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448) + 0 - sqrt(21)\/sqrt(27).\nAnswer: 23*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 12 - 37*a - 1 - 6. Is h(-3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, v: 1, o: 1, a: 2, h: 2, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 178 and 323248?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5026589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -70463204, -70463203, -70463202, -70463201, -70463200, -70463199?\n\"Answer: l - 70463205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3052*f - 16052 - 28942 - 30152 = -23262 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 2*c + 3. Let j = 7 + -2. Suppose 2*t - u - 14 = u, j = -u. List the prime factors of v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28a115 (base 13) to base 5.\nAnswer: 223240411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 333323112213?\nAnswer: 333323112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1379 - 1362. Let b be 3\/(-9)*2\/20*3. What is the nearest to 1\/4 in -2, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -67*k**4\/12 - 3*k + 73. Let l(z) = -12*z**2. Calculate l(a(p)).\nAnswer: -53868*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -41 - 0.061\nAnswer: -41.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 1 + n**4 - 588*n**2 + 590*n**2 to the form w + b*n**2 + l*n + x*n**3 + v*n**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -136.90065 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 66743437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/((-36)\/(-40))*23097\/(-2). Let t = 58095 + q. What is t rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(0 + ((2*sqrt(65))\/sqrt(5) + 1 + (2*sqrt(13) - sqrt(13)) + sqrt(13) - (4 + sqrt(65)\/sqrt(5))*-3)))**2.\nAnswer: 2912*sqrt(13) + 12896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j + 13*j - 11*j**2 - 13 - 6*j - 2*j + 9*j. Let z be 2 - (-1 + -2 - 1). Let r(w) = 5*w**2 - 8*w + 6. Let a = 15 - 2. What is a*r(b) + z*y(b)?\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*y**5 + 2*y**4 + 16*y**2 - 1069*y?\nAnswer: 220*y**3 + 24*y**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 81082657549.\nAnswer: 81082657552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 594 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {v: 7, f: 3, h: 1, a: 4, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 552*r + 554*r + 15 - 1648*r + 546*r + 8*r**2. Give u(7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31204400 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 760 smaller than 11411\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 126\/147*2842\/1914\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - -17919)\/3 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.19 + -0.41. Which is the third smallest value?  (a) 0  (b) h  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8 + -2 - 3 - (1 - 1). Suppose -5*h + 4*n = -290008, -z*n = -0*n + 6. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-1)\/(-8))\/(-1))\/(1\/(-12)). Which is the second smallest value?  (a) -3\/2  (b) -0.5  (c) 2\/15  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1138)\/6259)\/(4\/(-418)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1011693 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -16030.496 minus 2?\nAnswer: -16032.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 67789\nAnswer: 67789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-66)\/5*(-6075)\/(-486). Which is bigger: -983\/6 or n?\nAnswer: -983\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1394\/3 - -466. Factor -2\/3 + 2\/3*j**5 - f*j**2 + 4\/3*j**3 - 2*j + 2*j**4.\nAnswer: 2*(j - 1)*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6113 (base 7) in base 8?\nAnswer: 4105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**2 - 59*h - 233. Let k be b(-14). Let n(g) be the first derivative of 9*g**2 + 9\/8*g**4 - 1\/10*g**k - 22 - 14\/3*g**3 - 8*g. Factor n(t).\nAnswer: -(t - 4)*(t - 2)**2*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64, 59, 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-259)*-25*378\/(-450))\/3\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 53891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qrrqqqqq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -2. Let d(t) = -1 + 15*t + 1 - 4*t - o. Let k be d(6). Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -674.12 + 652. Let h = 20.3 + p. What is h rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2.6681  (b) -1\/2  (c) 0.2  (d) -25\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 5:29 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1554 - 36323?\nAnswer: -40077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 138713911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18600349771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 c, and 1 q when three letters picked without replacement from {b: 2, h: 3, q: 4, c: 2, a: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3*26905291.1\nAnswer: 80715873.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 8\/3, 4857, -149 in decreasing order.\nAnswer: 4857, 8\/3, 1\/5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -443.\nAnswer: -3\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5\/7 - 1174*c**4\/7 - 174032*c**3\/7 - 511584*c**2\/7.\nAnswer: -2*c**2*(c + 3)*(c + 292)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -487*t - 54 + 619*t - 135*t. Give k(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1126525 (base 7) to base 8.\nAnswer: 424414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 7*v**2 + 28*v - 190. Let q be j(7). What is the nearest to -153 in 5, -1\/3, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8128\/13208*741\/12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 0.13.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from {m: 2, x: 13, q: 5}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 25*b**3 + 5 - 49*b**3 - 11.\nAnswer: -24*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -117 - (-6 - 53) - (2 - (4 + -12))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10117*q**4 + q**2 + 9956*q wrt q.\nAnswer: 121404*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 9:46 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 10:01 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5*j**2 + 133*j + 1937. Give x(-13).\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.098396 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 3204\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -3) + 2 - -2. Let c = 111 - 81. Suppose -73*k + 68*k = -c. Solve -3*m + k = -0*f + 3*f, 4*f - 10 = -h*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -90537924 bigger than -90537924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.2, 1, -3, 8\/75, 2?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {p: 3, s: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -1. Let f(n) = -n**2 + 6*n - 1. Let w be f(6). Let r be 1\/2 - (-54)\/4. Let q(b) = 28 - 12 + b - r. What is w*d(y) - q(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is a52 (base 14) in base 11?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*m**2 + 112249 - 112249.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -117781061*u**2 - 108714197?\nAnswer: -235562122*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 12*o + 27 + 13, -19*o + 2*l - 60 = -l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {g: 2, k: 3, b: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 8 = -j - 4*j, 0 = -3*d - 4*j + 13. Suppose -3*a - 105 = -3*h - 27, d*a - 26 = -h. Calculate the remainder when h is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40.03533946 + 5.\nAnswer: -35.03533946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5 = -9. What is the remainder when 22 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-56*b - 3 + 29*b + 230*b)*(0 - 5 + 1)*(5*b**3 - 3*b**2 + 3*b**2).\nAnswer: -4060*b**4 + 60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 511270575 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-10)*i**(5\/6)*(i**(-6))**(-43) assuming i is positive.\nAnswer: i**(1493\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {s: 7, g: 1, u: 1, o: 10}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 187?  (a) -1\/2  (b) -2\/59  (c) 3  (d) -5  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**3 - 4*y**2 + 3*y - 2. Let l be w(2). Suppose -l + 9 = k. Solve -h = h + 2*x - 10, -3*h + k*x = 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2.5, -0.4, 36?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 9*z**3 - 33*z**2 - 12*z = 0.\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83 - 640 + 73)*(-2 - 8 + 6)*(4*r - 2*r - 4*r).\nAnswer: -5200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1408 + 117*f**3 - 2814 + 1406.\nAnswer: 117*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) 7  (c) 402  (d) 0.15  (e) 0  (f) -1\/4  (g) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 6. Let w be n(-3). Suppose -20 = 2*m - 5*k, -2*m = w*m + k + 23. Let x = m - -5. Solve x = -5*q - 3*s + 6 + 12, q - s = 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*s = 72861 + 91667. Calculate the greatest common divisor of 52 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4978413717 to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -5*u**8\/4 - 5*u**4\/12 - 7*u**3\/6 - 20*u. Find the third derivative of b(n) wrt n.\nAnswer: -8400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/149?  (a) -17.9  (b) 0.027  (c) 1\/4  (d) -0.2  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1073 = -2*w, -o + 4*w + 520 + 547 = 0. Calculate the highest common factor of 765 and o.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((105\/12)\/7)\/(55*11\/28072)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138 - 38*c + 66 + 3*c**2 + 37*c + 72.\nAnswer: 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -n - 2*j - 10, 2*j = 4*n - 28. Let p(z) = -32 - 17*z**2 + 14*z + 0*z - 5*z**2 + 21*z**2. Let k be p(10). Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, u: 5, k: 3, w: 4, l: 4}. Give prob of picking 2 k and 1 u.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3109962212?\nAnswer: 2, 7, 2377, 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 11) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-3 + 0\/1)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 59\/4011 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/2*(-144)\/(-20). Suppose 0 = -u + 37 - l. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1416, -1404, -1392, -1380?\n\"Answer: 12*o - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 v, and 2 e when four letters picked without replacement from {c: 1, x: 1, e: 2, v: 2, n: 3, t: 9}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4326638, -4326767, -4326896, -4327025, -4327154?\nAnswer: -4327283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10547020 by -20.\nAnswer: -527351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 8144584.\nAnswer: 73301256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2381179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**2 - 2*t**2 - 3*t**2 + (-t + 0*t + 2*t)*(-1 + 1 - 4*t) in the form l*t + b*t**2 + v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x - 3*x - 8*x + 18*x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3\/491933 + 1540240567\/271547016. Let y = k + 14\/69. Suppose 132 = 2*o - 5*o. Find the common denominator of o and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 9*l + 1. Let z(a) = -a - 1. Determine p(y) + 3*z(y).\nAnswer: y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b - 6. Suppose 0 = 7*x - 3*x + 4. Let p(k) = 1. Let v(l) = x*s(l) - 6*p(l). Let d(q) = -5*q. Calculate d(v(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 8 = -4*k - 2*h, 0 = k - 2*h - 11. Suppose j = k + 10. Suppose 0 = 5*z - 3*z. Solve 3*q = -z*q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jaujuxxxuvjaxj. What is prob of picking 3 x and 1 v?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7a4 (base 16) to base 14.\nAnswer: 9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*x**2 + 4*x**2 + 21*x**2 - 8*x**2.\nAnswer: 53*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 1:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/(-3) - -4 - 2. Let z be (1 - (-3)\/x)*-8. Let y(r) = -r**2 + 5*r - 1. Let m be y(4). Solve 6*n - n + 27 = -z*a, m*n + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25 or 129\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**3\/5 + 288315*s**2 - 20181867*s\/5 + 18740293\/5 = 0 for s.\nAnswer: 1, 13, 1441561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 5*g - 22. Let r be l(-8). Let b be 2\/(-1) - 12\/(-2). Put r, 5, b in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 796 is divided by 204.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246524 is divided by 475.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40709, 40761, 40861, 41021, 41253, 41569, 41981?\nAnswer: 42501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 divided by -844065.\nAnswer: -67\/844065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*v - 21*v - 2*v**2 + 0*v**2 - 285 - 32*v - 21*v wrt v.\nAnswer: -4*v - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -22*b**3 - 643*b**2 - 145*b + 38. What is u(-29)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48077 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*k + 11684 + 14116. Let m = k + 5163\/4. Let x be (2\/16)\/((-3)\/4). Sort m, 1, -1, x.\nAnswer: -1, x, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -1. Let p be (-1)\/f - 20\/6. Let j(m) = m**3 + 0 + 10*m**2 - m + 4 - 8*m**2 - 2. Calculate j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1184002200?\nAnswer: 2, 3, 5, 657779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 14. Suppose p = -5*i + 4 + 26. Suppose 2*j - 2*m = 2, 6*j - j - 4 = 4*m. Solve -o + 4*o + i = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -6*c**2 + 8. Let l = 7 - 15. Let s(k) = -2*k**2 + 3. Calculate l*s(g) + 3*v(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34809 and 122016.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 12:08 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 - 16*j + 9. Let z be s(16). Let i(f) = 7*f**3 + 3*f**2 - 3*f + 1. Let u be i(2). Calculate the greatest common divisor of u and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 286, 567, 958, 1513, 2286?\n\"Answer: 9*o**3 + o**2 + 215*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 159 by 53.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i - 5 - 5 + i**2 + 10 + 1. Suppose 4 = -c + 2*c - l, 0 = c - 4*l - 4. Suppose 11 = -2*d - 3*p, c = 3*d + p + 17. What is q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -62230 + 2?\nAnswer: -6222c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -95 - (-13 - (24 + -5 + -6 + -15) - 1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -11 - (-4 + -4 + 8 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 109 divided by 109\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-52 - -65) + (-1 - -20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1147 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-298)\/(-7) + (-424)\/(-1113)*36\/(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 (base 12) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 102300*x - 102211*x + x**2 - 2*x**2 + 3.\nAnswer: -x**2 + 89*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -288 + 1 - (6 + -7). Round h to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 15 = -3*k, -r + 4*k = -34. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51704 divided by 8?\nAnswer: -6463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 12:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 252 and 1035090.\nAnswer: 2070180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 795 - 794.609. Let v = -0.048 - n. Round v to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*m - 5*b - 25 = -678*m + 345*m, 4*b = -m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.0497*-0.06\nAnswer: 0.002982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000916298 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (3 + -10 - -18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26362337893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28757 or 28746?\nAnswer: 28746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25909 (base 10) in base 2?\nAnswer: 110010100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/4)\/((-1)\/4). What is the units digit of (-1928)\/6*o + 20\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 2)*(-3*y + 4*y - 3*y)*(0 - y + 0*y - 2) in the form k + w*y + z*y**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - 2*m - 4. Give l(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/63 + (-33)\/7. Let o(a) be the second derivative of -a**3\/6 - 3*a**2\/2 + 9*a. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12348*m - 2381 with respect to m.\nAnswer: 12348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4115647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of r**6\/120 + r**4\/3 - 13*r**3\/6 - 2*r**2. Let s be o(7). Suppose 0 = 6*v - 2*v + 5*g - 776, -3*g = 2*v - s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -292 + 271. Let n(d) = -d**3 - 20*d**2 + 21*d + 5. Let k be n(s). Solve 23 = -3*w + 4*o, k*o - 10 - 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*n + 1168 = 0, -3 = 3*p + 3*n - 885. Suppose 0 = -p*r + 294*r. Solve -2*o + 1 - 3 = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -1, 0 in descending order.\nAnswer: 14, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhzzhxxl. What is prob of picking 1 z, 1 q, and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-27))\/((-12)\/18972*-31)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of -7*o**6\/60 - o**5\/20 + 15*o**2. What is the third derivative of w(i) wrt i?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1685, 4, -2, 2, 3 in descending order.\nAnswer: 1685, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 6*w + 2. Let p be t(-5). Let h be -1 - -17 - (-3 - p). Let y = h + -1. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*d + 88*d + 89*d + 73 = -2*i, 10*d - 11*d + 31 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*r - 1262 = -5*i - 74*r, -r = -3*i + 760. Calculate the highest common divisor of 92 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d - 7. Let q be (2 - 2 - -5) + (20 - 22). What is r(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-18))\/(59*38\/4484)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 7*w + 17. Let u = 4 + 3. Let f be c(u). Suppose 0 = -2*g + 5*m, -3*g + m - 4 = -f. Solve 0 = g*j - 0 + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/9)\/((-27)\/(1134\/28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*l - 7, -3*l + 0*x = -2*x - 22. Suppose 25 = -l*n + 81. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3167 - -3179. Calculate the remainder when 2121 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(((w\/(w*w**(-11)*w))\/w)\/w)*w)\/w*w*w**(-10\/7)*(w**(-4))**(-4\/3))**(-2\/85) assuming w is positive.\nAnswer: w**(88\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*b**5\/2 - 123*b**4\/2 - 45*b**3 + 12315*b**2 - 45987*b\/2 - 70587\/2 = 0. What is b?\nAnswer: -31, -23, -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 - 16. Let u = 38 - n. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -121*j - 842. Calculate the remainder when 109 is divided by g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -0.1, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1412 - 1413. Let l(d) = -d**3 - 1. Let m be l(-1). Let z be (-6)\/16*(-4)\/6. Which is the nearest to z?  (a) m  (b) 0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 341149*f**3 - 131780*f**2 wrt f?\nAnswer: 2046894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56012134 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683532?\nAnswer: 2, 3, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 367 + -252. Let w = -78 + r. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 1:17 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/(-55) - -2)\/((-2534)\/(-752598)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182809 is divided by 60804?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, t: 2, y: 12}. What is prob of picking 1 t and 1 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1826633359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1718 + 1724. Let r = 41\/38 + 8\/19. Which is the smallest value?  (a) r  (b) -0.2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/14 in 4, -72, 2, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 13*b = -10. Let q be (-4)\/(2 - b) + 3. Solve 0*o = q*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 477, 959, 1443, 1929, 2417, 2907?\n\"Answer: w**2 + 479*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 23.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 6:19 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8131 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*x + 2*s, -6*x - 23*s = 4*s - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16122 (base 8) in base 16?\nAnswer: -1c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1005550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 4*u + 9. Let y be i(-2). Let q(v) be the first derivative of 3\/2*v**3 + 2\/5*v**y + 11\/8*v**4 - 1\/2*v + 6 + 1\/4*v**2. Solve q(n) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426436890.\nAnswer: 2, 3, 5, 11, 463, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -2. Suppose 3*c - 12 - 27 = k. Let m be 3\/(-4) + 158\/8 + -9. Solve -4*z = f - c, m = -7*f + 2*f + 5*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 383242 times 8?\nAnswer: 3065936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {l: 4, k: 1, h: 2, p: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, z: 2}. What is prob of picking 2 z and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + 31 + 15 + -1 + (-43)\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 6*a**2 - 5*a - 1. Let f be q(-4). Suppose -2*u - f = -7*u. Suppose -2*o + 368 = 14*o. What is the highest common factor of u and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1.52 * 39\nAnswer: 59.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*(-5 - (-86)\/10). Let c be (-68)\/q + (0 - 2\/(-9)). Suppose -6*d = -58 + c. What is the remainder when 44 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-66)\/(-54) + (64\/(-288) - (1 - 1)). Sort 2, q, -5, 8, 5.\nAnswer: -5, q, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(4\/9)*s**15 assuming s is positive.\nAnswer: s**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116337 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + (-50 - -26 - -17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 194, -20\/13, 1, -0.01, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u + u + 24*u**3 + 12*u**3.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.9 + 2.9. Let z be ((-6)\/(-25))\/(1\/(-5)). Is z at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42.629 + 38.28. Let u = -0.051 + x. What is u rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4647 and -61.028.\nAnswer: -283597.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 0*j + 4 = -4*m, -m = -2*j + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4737781 and 5573860.\nAnswer: 94755620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1100 (base 2) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**3 + t**2 - t + 1. Let o = -3 + 4. Let g be y(o). Suppose g*c - 5 = r + 3, 0 = 2*r - c - 19. What is the remainder when 35 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.11 - -2.457. Let r = -0.053 - i. Which is the closest to 0.2?  (a) 0.02  (b) -0.1  (c) r  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -w + 3*r, 3*w - 7*r + 2*r = 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 127 * 4.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 46811 and -0.3.\nAnswer: 46810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1526*q + 2609*q + 2817*q + 1016990 = -3923*q for q.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/19989 and -67\/33309.\nAnswer: 73979289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 - 108672*a - 1420824*a.\nAnswer: -1529496*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 35 + 97. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of y**4\/12 - y**3\/3 + y**2\/2 + 6*y. Let g be k(4). Let w be (6\/g)\/(1\/198). What is the greatest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/18)\/(11812\/(-70872))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3174\/(-92) - (-50 + 6)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - u + 44, 0*c + 3*c + 5*u - 22 = 0. Let h = -93 + 88. Let r be (h\/(-20))\/(5\/4). Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2182013, -4364008, -6545983, -8727932, -10909849, -13091728?\nAnswer: -15273563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m**2 - 29*m + 107. Determine q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 1. Let h be s(1). Let g(i) = h*i**3 + i**3 - 6*i + 3*i + 4*i - 2. What is the units digit of g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**3 - m**2 - 3*m - 2. Let k(r) = 1314*r**4 - 2*r**3 - r**2 - 1528*r - 2. Let h(o) = k(o) - q(o). What is the second derivative of h(s) wrt s?\nAnswer: 15768*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3264 + 8186. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215 - (139 + 7) - 135?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/8)\/((-30)\/80)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (15104\/384 + -40)\/(5\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-5) + (-35)\/(-25). Suppose -4*w - 4*u = u + 27, 0 = 5*w - 3*u + 6. Let x be (-28)\/(-6) + -2 + w. Which is the nearest to n?  (a) x  (b) 0  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29579719 divided by 6.\nAnswer: 29579719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -665, -668, -669, -668?\n\"Answer: r**2 - 6*r - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4522*m - 4519*m + 2*a - 158514, m + 4*a - 52868 = 0. Does 32 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + -50. Let c = -16.1 - y. Let l = 53.5 + -54. Is c at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - -3)\/(24\/(-80)). Let c be -7*(-5)\/((-175)\/y). Suppose -2*p + 160 = c*p. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c + 2*c**3 - 2*c + (38*c + 8*c + 49*c)*(12*c**2 - 3*c**2 - 5*c**2) - c**2 + c**3 + c**2 - 3*c**2 - 2*c**3 + 3*c**2 + (2 - 2 - c)*(c**2 - 2 + 2).\nAnswer: 380*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 147 + -146. What is the remainder when 66 is divided by (s + 1)\/(4\/74)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-110)\/(-6) + 7\/63*-3. Let b = 141 + g. Suppose -246 = -3*f + b. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -5 + 0 - (9 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -13*o**2 + 19*o**2 - 18*o**2 - 8*o**2. Let b(q) = -q**3 - q**2 + 4*q + 3. Let c be b(-2). Give x(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + d + 1. Let u(z) be the first derivative of 4*z**3 - 4*z**2 - 34*z - 88. Let f(v) = -6*a(v) - u(v). Differentiate f(t) wrt t.\nAnswer: -36*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**(-4\/9)*z\/(z**(-6)\/z))\/((z**(-7\/6)\/z)\/(z\/(z*(z*z**(-4))\/z*z))))**(-10) assuming z is positive.\nAnswer: z**(-1325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 465\/(-496)*(-1 - 9\/(-15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1689 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -2)*52\/78?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 403738033*d**2*s**2 - d**2*s - 348251123*s wrt s.\nAnswer: 807476066*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*v + 1482 = 0, 5*f - 5*v - 2480 = -10*v. What is the greatest common factor of f and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - t = 9. Let n(f) = -f**3 + 3*f**2 + 2*f - 2. Let a be n(t). Let b(m) be the first derivative of m**4\/4 - m**3 - 3*m**2 + 5*m - 13. Give b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 10) + (1 - (-6 + 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 654771014 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.02, -3, 2\/9, -36\/2581?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5480 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/(-264) - (-4)\/(-22). What is the closest to -0.7 in 4, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 2*l**2 - 10*l - 11. Let p be o(-1). Is -5\/6 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5184)*2 + sqrt(5184) + sqrt(5184))\/sqrt(12).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250303 is divided by 2811?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*v**3 - 14*v**3 - 21*v**3.\nAnswer: -23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1144*f**3 + 1141*f**3 - 1 + 1 + 0.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27399391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -12*v**2 + 84*v + 56. Let b(j) = -2*j**2 + 15*j + 10. Let p(x) = -28*b(x) + 5*s(x). Let m(h) = 469*h**2 + 2*h. Determine m(p(w)).\nAnswer: 7504*w**4 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8665 - -14993. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -14, -190, 3, -2, 9.\nAnswer: -190, -14, -2, -1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -375514 divided by 2\nAnswer: -187757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 176874572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3*j = -j - 84, 3*p - 2*j = 90. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128707.\nAnswer: 17, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 42157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -11*y - 6. Let r(p) = -12*p - 7. Let u = -48 - 15. Let q be 3 + 67\/(-3)*-3. Let t = q + u. Calculate t*o(s) - 6*r(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - 35.7. Suppose -30 = -3*u - 3*q, -4*q + 3*q = -u + 6. Suppose 9*s = s - u. What is the smallest value in s, c, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -5  (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 12:30 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-68)\/(-14)*161\/23 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1 + sqrt(7)*-3))**2 + ((2 + sqrt(7))*6 + 1)**2.\nAnswer: -60*sqrt(7) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -18*y - 5. Let g be p(-1). Let h(j) = -2*j**3 + 26*j**2 + j - 10. Let a be h(g). Solve 4*i - a*n + 1 + 4 = 0, 5*n = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 4*z**3\/7 + 103*z**2\/7 + 650*z\/7 - 169\/7 = 0?\nAnswer: -13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -17741*m**3 - 22*m**2 + 12*m - 11. Let f(d) = 2*d**3 - 2*d**2 + d - 1. What is 11*f(x) - z(x)?\nAnswer: 17763*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4747, -9467, -14187, -18907, -23627, -28347?\n\"Answer: -4720*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 2:55 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 4:35 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371 = -8*l - 5*t - 950, 2*t = 4*l + 638. Let w be (-1)\/((-2)\/(-324)*1). Are l and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**2 + 5*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5247, 41969, 141637, 335727, 655715, 1133077, 1799289, 2685827?\nAnswer: 3824167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116529, -116531, -116531, -116529, -116525, -116519?\nAnswer: -116511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j. Let u(v) be the second derivative of 49*v**3\/6 + 21*v**2 + 46*v. Let f(o) = -6*c(o) - u(o). Differentiate f(s) wrt s.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - u**2 - u + 1. Let y be f(2). Suppose 31 = 4*m + 3*d, -m - d = -5*m + 11. Factor 12*q + 6*q**m - 5*q**2 + y*q**5 + 2*q**2 - 9*q**3 - 9*q**2.\nAnswer: 3*q*(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 180 - 180.3. Suppose 0 = -2*o - 2*o. Let n be 2\/4*(-5)\/(-10). What is the closest to -1 in o, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*0 + 28\/(-42)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216372 = 43*s - 138*s + 69*s. What are the prime factors of s?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8008636 to the nearest ten thousand.\nAnswer: 8010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23648*y - 71967*y - 4811*y.\nAnswer: -100426*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 253532 + -20?\nAnswer: 253512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 35*q**4\/4 - 13785*q**3\/2 - 146395*q**2\/4 - 122835*q\/2 - 31720 = 0?\nAnswer: -16\/7, -2, -1, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 2*x - 3*x)*(2*x - 20*x**2 - 3*x - 1 - 1).\nAnswer: 20*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 5. Is u + -3 + 75*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2 - 127*x + 1090. Let r be d(54). What is the greatest common divisor of r and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-729 + 729)\/(-1*1). Which is the nearest to -7?  (a) 10.9  (b) 1  (c) i  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2035 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 4303.28  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -257  (b) 2\/5  (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 4*o**3 + 2*o**2 + 59*o + 235. Determine m(-5).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 5. Let i(n) = n**2 - 2*n - 15. Let b be i(5). Suppose b = -5*s - 5*h + 645, h = -v*s - h + 639. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000001198 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -106831967887 and 10.3.\nAnswer: -106831967876.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 1. Let t(j) = 3*j + 1. Let w be (-2)\/((-1)\/2 + (-80)\/(-32)). Calculate w*t(n) - 2*x(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/8)\/(5\/40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, x: 1, p: 2, f: 1, v: 9}. Give prob of sequence vp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -19*o + 15. Let x = -1094535\/209 - -5237. Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4506260 and 3154382?\nAnswer: 31543820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/(-54))\/(420\/72))\/((-8)\/(-20))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -400103432200?\nAnswer: 400103432141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 20*r**2 - 66*r - 229. What is l(-17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 404688686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 29 = 8*z - 5*z, z + 15 = l. Suppose 0 = -r + f + 17, -5*r + 15*f = l*f - 67. Solve -a - r = -9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 80 = -4*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1244 take away 20033?\nAnswer: -18789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -550678\/15 + 36712. Let h be 5*(-2)\/(-70)*-2. What is the closest to z in h, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4.285858 kilograms?\nAnswer: 0.004285858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - ((-1 - -3) + (-2185)\/75). Let g = 144\/5 - m. Which is bigger: 301 or g?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -2 - 1\/6*k**4 - k**2 + 0*k**3 - 2*k. Let n(i) be the first derivative of x(i). Find the first derivative of n(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-3)*s*s**(-40) assuming s is positive.\nAnswer: s**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -986*z - 53427 = -989*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 + -0.9. What is m rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*g + 1 = 0, g - 3 = -3*u + 4*g. Suppose 5 = 3*r - u. Suppose -56 = -9*b + r*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 360 = -4*j, 3*j + j + 5*v - 360 = 0. Calculate the highest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*c = 90, 0 = 3*r - 3*c + c - 254. Let i be -27*(r\/(-14) - -2). Let y = 104 - i. Sort 0, -5\/4, y in decreasing order.\nAnswer: 0, y, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 190 and 3370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15618432 divided by 488076.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 51\/4 of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -36. Suppose 4*s - 20 = -4*w, -w + 2*s = -7 + 2. Put m, w, -1 in increasing order.\nAnswer: -1, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 2:14 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 17. Suppose -g*s - 5600 = s. Let l = 280 - s. What is l rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1096825*h**3*k*y**2 - 241*h**3*k*y + 2*h**2*k - 2*h**2*y - 10*h*k*y**2 + 2*h*k*y + 8*h*y - y**2 wrt y?\nAnswer: 2193650*h**3*k - 20*h*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.72 + -0.72. Which is the closest to 1?  (a) 2  (b) x  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11879, -3, 28 in ascending order.\nAnswer: -3, 28, 11879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100101110000111110 (base 2) to base 7.\nAnswer: 1212660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 9 = 3*p - 4*i, 5*i = 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 135 and 189825.\nAnswer: 1708425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6948, -6908, -6852, -6780?\n\"Answer: 8*x**2 + 16*x - 6972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - 22*i**2 + i**3 - 39 + 22*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2026991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3, -2\/5, -14.9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 508, 25, 3\/7, -68, -1.6 in decreasing order.\nAnswer: 508, 25, 3\/7, -1.6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 35*o - 175. Let w be r(5). Let h be 24\/9 - (-2)\/(-3). Suppose 3*i - 9 = w, -h*i + 4*i = l - 57. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -r**6 - 68*r**5 + 2*r**2 - 80*r.\nAnswer: -120*r**3 - 4080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 143*x**2 + 286*x - 283. Calculate f(-145).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 17, -4, 1132, 4, 2 in ascending order.\nAnswer: -4, -3, 0, 2, 4, 17, 1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00556946 to five dps.\nAnswer: 0.00557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/10)\/((-9)\/(-24)*2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 + 10*s**2 - 7*s - 319. Calculate the least common multiple of u(-7) and 2.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2\/11 - 508166*j\/11 + 15755068\/11 = 0. What is j?\nAnswer: -254114, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 3*r - 9. Let u be b(-6). Suppose 6*f + 225 = u*f. Suppose -3*a + 4*a - 15 = 0. What is the greatest common factor of a and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 12:33 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-13*t + 13*t - 6*t**2 + 0*t**2 + 4*t**2 - 3*t**2 + (-t + 0*t - t)*(0 - 2*t + 0)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + j + 18. Let z be g(-4). Let b be 48\/240 + (z - 114\/(-5)). Solve 0*d - 7*d + b = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101a2a (base 11) to base 3.\nAnswer: 22022110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1287 (base 10) to base 8.\nAnswer: -2407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*t**2 + 10*t**2 - 2*t**3 - 24*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2622 + -2617. Solve 2*l - 2 = 0, -2*l = x*f + l + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (28*t - 152*t**2 - 28*t)*(-t**2 + t**2 - t**2) as o*t + k*t**2 + z + v*t**3 + m*t**4 and give m.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*t - 90 = 0, 32*t - 33*t = m - 20. Let q = 4 - 0. Suppose c - 6 = z, -q*c + 20 = -2*z - 0*z. Solve 3*w + 15 = -2*i - 0*w, c*i + m = -5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3*(1 - 14\/(-6)). Let a be 3\/(-15) + (-32)\/j. Let g be (-10)\/(-5) + -6 + 7. Calculate the highest common factor of a and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -10*x - 110 = -2*c + 2*c, -c - 4621*x + 46 = -4625*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1180106370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 23*k - 30. Let x be q(21). Solve 0*w + 4*w + x = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 404828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -200891 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**2 - 2*c**2 + 2*c**2. Let g(t) be the third derivative of 0*t + 0*t**3 + 0 - 2*t**2 + 1\/12*t**4. Calculate d(g(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5)*q\/(q*q\/(q*q**(-8)\/q)*q*q))\/(q**3\/q**(1\/2)) assuming q is positive.\nAnswer: q**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46980 and 4860?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1194060 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 14*f**3 - 3*f**2 + 8*f - 7. What is i(2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 6 = -3*y. Suppose f - y*f = -1. Let u be 0\/2 - ((-270)\/(-18) - 13). Sort 5, f, u in decreasing order.\nAnswer: 5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32.14 - 1.14. Let u = -28.6 + x. What is u rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1027233, -2054320, -3081395, -4108452, -5135485?\nAnswer: -6162488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2383396674 + 4?\nAnswer: 2383396678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -125536 by -1.\nAnswer: 125536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 7:06 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f. Let b(q) = -296*q + 558*q - 290*q. What is h(b(o))?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 2704546?\nAnswer: -2704544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/4 + (-15)\/12. Let y be (-3 + a)\/(2 + -3). Find the second derivative of -s**y - 2*s**4 - 2*s + 5*s wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25521 divided by -3.\nAnswer: -8507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**4\/24 + l**2. Let f(p) = -2*p. Determine n(f(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + b**2. Let g = 11 + 0. Let j be (3 - 0) + g + -11. Suppose 0 = -3*f + 2*r + 12, f - j*r = -0*f + 11. What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - 40) + -6 + 5 + (5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3978 and 384462?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -37, -219, -523, -949, -1497, -2167, -2959?\n\"Answer: -61*u**2 + u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.676767 and -0.517.\nAnswer: 0.349888539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 20243?\nAnswer: 20243.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -15*i - 13. Let l(n) = 7*n + 6. Let d be (13\/(65\/(-30)))\/1. Let t(f) = d*g(f) - 13*l(f). Let m(q) = -3*q**2 + 3*q**2 - 2*q**2. What is m(t(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 363571291*k**2 + 2500203*k - 18 wrt k?\nAnswer: 727142582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 691  (b) 10541  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = f + 31, 12*f = -q - q - 39 - 23 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccmuhuqhhuhhuhqqhhq. Give prob of picking 1 u and 1 m.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2011, 10181, 23799, 42865, 67379, 97341?\n\"Answer: 2724*x**2 - 2*x - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(30)\/sqrt(90) - sqrt(27)*-2))**2.\nAnswer: 5776\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - y**2 - 6*y - 2. Let a be n(3). Let s be (8\/(-6))\/(3\/(7 - a)). Let t = 14 + -9. Sort -0.1, t, s.\nAnswer: s, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i*i**(-2\/7)*i)*i*i**(-3))\/(i\/(i*i**(1\/3)))**0 assuming i is positive.\nAnswer: i**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -704*a**3 - a - 2962745 + 2*a**2 + 2962745 in the form s*a + i*a**3 + r + f*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqdqqqqq. What is prob of picking 1 q and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3505*s**2 + 3476*s**2 - 6972*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (166\/(-24) - 55\/(-44))*51. Let y = 280 + s. Let w(j) = -j**2 - 9*j - 4. Calculate w(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/(n**(-10)\/n*n))*n)**(-11) assuming n is positive.\nAnswer: n**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 27\/(-36) + (-1)\/((-4)\/4). Factor 0*j**3 - 1\/2*j**4 + 1\/2*j**2 - 1\/4*j + i*j**5 + 0.\nAnswer: j*(j - 1)**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f + 7. Let u be v(3). Suppose -h = -d + 3596, -3*d = -6*h + 5*h - 10788. Suppose -b - u*b = -c + d, 2*c + 8 = 0. Round b to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1343, -2686, -4029, -5372, -6715, -8058?\n\"Answer: -1343*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 5 = 1. Let v = 6 - q. Let a = 7 + v. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 35 = -0*o - 5*o, 27 = -2*s - 3*o + 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 14, p: 1}. What is prob of sequence hph?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -11 * 68960324\nAnswer: -758563564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 6*h + 33. Let s be z(-9). Solve n = -8 + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 7:56 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22 - -3bf?\nAnswer: 39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -168, -3, -2, 0, 34554, 3, -1 in ascending order.\nAnswer: -168, -3, -2, -1, 0, 3, 34554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 25*w**3 - w**2 - w + 1. Suppose 5*c + 20 = -5*t, -c - 9 = 3*t - t. Is u(c) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*d = -12, 3*d - 1 = b - 6. Suppose -5*t - b = -12. Suppose t*l - 9 = 3. Solve s - 10 = l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16180 is divided by 5392.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -821\/17472 - -37\/273. Find the common denominator of f and -5\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-38)\/(-5 + 399\/77). Let k be 35710\/(-95) + 22\/y. What is k rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -256 * -0.3\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a century in years?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w - 2. Let v be l(2). Let q be (-4)\/3 + 0\/(-1). Which is the nearest to -2\/5?  (a) v  (b) -3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -8. Let b(r) = -r**3 - 3 - 4*r + x*r + 2 - r. Determine b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*a + 95*a + 119*a + 224*a as b + s*a and give s.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -85 + 81. Which is the third biggest value?  (a) 2\/5  (b) m  (c) -2\/11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 1)*(-673*z + 8*z - 240*z).\nAnswer: 1810*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 465 = 2*v + 3*b, 65*v - 61*v - b - 923 = 0. Let y(t) = 3*t**3 + 9*t - 20. Let d be y(2). What is the greatest common factor of v and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {h: 2, s: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 9*r**2 + 16*r + 19. Let w be s(-7). Find the second derivative of 0 + 0 + 185*k + 21*k**5 - 12*k**w wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2478*x - 371725. Determine k(-150).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 151242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**5)**(-38) assuming c is positive.\nAnswer: c**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 75 = -5*s, -5*s - 12*b + 15*b + 51 = 0. Let j(u) = u**3 - 13*u**2 + 11*u + 12. Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 851990.9 grams in kilograms?\nAnswer: 851.9909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 10, -54 in descending order.\nAnswer: 10, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*z + 110 = 7*z. Let u(h) = -5*h - 3. What is u(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 35 = -x + 3*x, 2*x + 3*l = 15. Suppose -2*b = 3*b - x. Suppose -2*z + 39 = -b*y + 12, -4*z + 9 = 3*y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(6) - sqrt(36)\/sqrt(6)) + sqrt(6))\/(sqrt(98)*-3).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(304) + 1.\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - -49. Round o to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6710 - 4764. What are the prime factors of b?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 5:30 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 552175*o**4 - o - 1398058 with respect to o.\nAnswer: 2208700*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 565891.34 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33762\/71 or 0.1?\nAnswer: 33762\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4970888 is divided by 130810.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 65*n**2 - 5019*n + 96760. What is u(40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*x**3 - 586*x**3 + 949*x**3 - 209*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/105, -6, -1589.1, -0.4 in increasing order.\nAnswer: -1589.1, -6, -0.4, -4\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -49841 or -46464?\nAnswer: -46464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -103175504 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p - 1. Let x(w) = 2*w - 10. Calculate the remainder when f(-10) is divided by x(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5795*o - 921*o = 100545 - 355753 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q + 1. Let b be t(1). Suppose 2*v - 34 = -4*i - 10, -b*v + 2*i = -24. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**6\/120 + 7*s**5\/60 - 3*s**4\/8 + 2*s**3\/3 + 27*s**2. Does 8 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.3, -29, -1\/5, 0.073 in decreasing order.\nAnswer: 4, 0.073, -1\/5, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -16. Let l = 97 - 98. Is l at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*d**2 + 2*d**3 + 37*d**2 - 18*d**2 - 3*d**3 + 2 as o*d**3 + g + f*d + s*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - (-9)\/5) + -2. Let p = 2.33 + -2.43. What is the fourth smallest value in p, -7, i, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62 - (52 + 97)) + 102?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 278 divide 5312366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -414201371 by -6.\nAnswer: 414201371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1068 * 0.2\nAnswer: 213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**2 + 11*i - 10. What is r(9)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -35575, -35572, -35569, -35566, -35563, -35560?\n\"Answer: 3*p - 35578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - (-2)\/(-1) - -7. Let t(q) = -q**2 + 9*q - 6. Let v be t(4). Suppose 89 = p*r + v. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -94, -7, -5, -11, 2, -1 in increasing order.\nAnswer: -94, -11, -7, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14\/(882\/3512 + 4\/112*-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 13 = -u, 0 = 4*w - 7*w + 12. Suppose 0 = u*s - 4*s + 1506. Let r be 1160*(2 + (s - 0)). Round r to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2507337 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.4  (b) 7  (c) 335169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) -0.11  (b) 0  (c) 1\/47  (d) 1.5  (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 42868751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 15286\nAnswer: -5\/7643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18\/47, -4, -31, 4 in ascending order.\nAnswer: -31, -4, 18\/47, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*g + 24 = -368*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.946 + -0.054. Let d = y - 50. Let v = d - -53.999945. Round v to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30319898665\/78 - 388723421. Let a = o + 6771. What is the common denominator of -50\/3 and a?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -be (base 15) in base 11?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/10965 and -155\/7846554.\nAnswer: 39232770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of 1\/24*t**4 + 0*t + 0 + 0*t**3 + 4*t**2. Let y(g) = g**2. Determine f(y(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11260258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-10))\/(-3*408\/(-180))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -149 + 155. Let b be 6 + -1*(-1 + t + -4). Sort 4, 0, -6, b in increasing order.\nAnswer: -6, 0, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 525 - -2?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -d880 (base 14) in base 9?\nAnswer: -56212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-5 + -9) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 12:55 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of 0*t + 0*t**3 - 1\/3*t**4 - 2\/15*t**6 + 5*t**2 + 1\/3*t**5 + 0 + 2\/105*t**7. Factor g(l).\nAnswer: 4*l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 - 1)*(-42*q - 52*q - 75*q) to the form d + w*q and give w.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 91114185 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1726?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/z**(1\/2)))\/z**(1\/5)*z**3\/z**(-8)*((z*z*z**(6\/7)*z)\/z*(z**(-12)*z)\/z)**(-4\/15) assuming z is positive.\nAnswer: z**(577\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 11, d: 9}. What is prob of sequence sd?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*j**2 - 18*j**2 + 58*j**2 - 21*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 88258242 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - 7\/(21\/(-6)). Suppose 4*x + 28 = 8, k - 647 = -u*x. Suppose z = -2*t - 221 + k, -3*z + 3*t + 1332 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 22\/7  (b) -1\/4  (c) -62  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6731, -6737, -6747, -6761, -6779, -6801?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.044 + 1.316. Let v = 0.34 + z. Let f = v - -0.3. Put -0.1, 5, f in increasing order.\nAnswer: -0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 20*q + 23. Let d be s(21). Let z(p) = p - 6. Let y be z(14). Solve -y = -d*u - 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2694, -2649, -2604?\n\"Answer: 45*a - 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -t**5\/60 + 2*t**2 - 253. Let u(c) = -10*c**2. Determine u(r(s)).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*c - 134*c - 8084 = 72*c - 102*c for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 10:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -794037, -1588050, -2382063, -3176076, -3970089?\n\"Answer: -794013*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1417507190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-268842)\/256040*(-1)\/(42\/45)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 2\/15  (c) -3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*n, -2*q = -4*q + 4*n + 184. Suppose -58 = -4*y + q. Suppose -2*s + 5*w = -y, w - 3*w = 3*s - 62. Solve -4*t = -0*t - s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0*k*k)\/k**(-1\/6))**(-31)*((k**0)**23)**(-26) assuming k is positive.\nAnswer: k**(-403\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3018968 tonnes in grams?\nAnswer: 301896.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of 46*l**6\/3 - 2*l**5\/5 + 1108*l**3\/3 - 900. Find the third derivative of v(m) wrt m.\nAnswer: 5520*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*((-2*sqrt(133) - sqrt(133) - sqrt(133))*-6 - sqrt(133) - sqrt(133)))\/((3*sqrt(630))\/sqrt(10)))**2.\nAnswer: 36784\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 122 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 10:33 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -30101232 (base 4) to base 9\nAnswer: -75873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.027 - -0.031. Let m = t + -0.004. What is the closest to m in 2, 0.05, -1\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -118 + 185. What is the remainder when c is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeerfeveererrvee. What is prob of picking 2 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7491?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 - 32. Let q(w) = -w + 1. Let y be q(f). Put -3, 5, y in descending order.\nAnswer: 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 12 - (1 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -5. Let u be (-4)\/8*y*-1. Let p = u + 2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (545 - 546 - (-20 + 0 + -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 + 49. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n + 40. Let z be q(9). Suppose m - 80 = -8*h + z*h, -2*h = 4*m - 40. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2066163 + 5?\nAnswer: -2066156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-144 + 144 - 40*u)*((-2 + 4 - 3)*(u - 3*u + u) + u - 5*u + 5*u)*(-u + 3*u - 4*u).\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.9 - 3. Let z(w) = -w**3 + 44*w**2 + 93*w - 50. Let y be z(46). What is the nearest to 0 in a, y, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(12)\/sqrt(4)*6 - (sqrt(3)*4 + -3)))**2 + 4.\nAnswer: 12*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*z - 2*z - 2 = 0, -4 = -3*y - z. Suppose -4*j = -9 + y. Suppose 5*s + 80 + 3 = k, 0 = -5*k + j*s + 507. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -450*k**3 + 269*k**3 + 290*k**3.\nAnswer: 109*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6660412691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from iiiiicqcz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 15, -5 in ascending order.\nAnswer: -5, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -22*g**2 + 10 + 5*g + 3*g + g. Let c be m(-7). Is c*3\/(-9)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15921 + 33620. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -92872 and -17.6081.\nAnswer: -92889.6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0379 - 0.0221. What is the second smallest value in 1\/4, -18, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33 - -25. Let z(o) = -6*o - 3. Let b(m) = -19*m - 8. Let c(g) = w*z(g) + 3*b(g). Let v(n) = -5*n**2. Determine c(v(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-21)*3*57\/(-285)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/4)\/(1\/(-2)). Let j = i - -12. Find the first derivative of 0 + 5*u**4 + j - 6*u**4 - 3 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.92 take away 74?\nAnswer: -75.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 516 + 87. Let d be i\/117 + (-8 - -3). Determine v so that -d - 4\/13*v**2 + 6\/13*v = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6 + 12 - 16 + 797*n**4 + 17 - n**2 wrt n.\nAnswer: 19128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -172*m**2 - 10*m + 20. Let w(q) = -58*q**2 - 3*q + 6. Let s(c) = 3*o(c) - 10*w(c). Let t(j) = 2*j. What is t(s(z))?\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 13, k: 3, i: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 3*z + 3. Let t be 2*1*(0 + 2). Determine p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.689 + 0.061. Let r = o - 3.9. What is r rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -0 - 5. Suppose 13 - 1 = 4*i. Let v(z) = -2*z**2 + z**3 + 3*z + 0*z**i - 4*z**2 + 2*z. What is v(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 233 + -1?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - 6*g + 10. Let b = -4 - -9. Let c be o(b). Which is greater: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -996, -4427, -10298, -18609, -29360, -42551, -58182?\n\"Answer: -1220*j**2 + 229*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4400 and 16?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v - 8. Let f be (-5)\/(-25) + (-39)\/(-5). Let q be y(f). Suppose 2*i = -x + 276, -3*i - 684 = -q*i - 4*x. Is i a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/138091 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-8))\/((126\/(-70))\/((-6)\/15)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 32*u. Let f(a) = -2*a. Let g(v) = -v. Let y = -36 - -28. Let x(i) = y*g(i) + 3*f(i). Give k(x(n)).\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from nhstnsthnhhsssnt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 9*f + 9. What is the units digit of z(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118803*f**5 - 415689309*f**4 + 424166100*f**3 - 8399988*f**2 + 42000*f = 0 for f.\nAnswer: -3500, 0, 2\/199, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2722*k + 79. Let g(b) = 1363*b + 35. Let d(a) = 9*g(a) - 4*j(a). Let f(c) = -4*c**2. Give f(d(t)).\nAnswer: -7606564*t**2 + 11032*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1465 (base 11) in base 13?\nAnswer: b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -90*z + 93*z + j, 3*j = -z + 5*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*c + 20790000 = -26*c. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 8*u = -o + 116, -o = -u + 22. Let a(j) = -6*j + 5*j - 9*j - u. What is the tens digit of a(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 758*d - 8286 - 26264 = 197*d - 130*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-6) - ((-14)\/(-12) - 1). Suppose -1\/4*x**3 + 0 + u*x - 1\/2*x**2 = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 11*f + 6. Let x be s(-13). Let h be 16\/10*x\/(-8). Solve -h*j = -5*b - j - 18, 5*b + 17 = 2*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 336, -158, -1494, -3678, -6716, -10614, -15378, -21014?\n\"Answer: -z**3 - 415*z**2 + 758*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 55*c - 64*c + 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - (8 + -6)) + -422 + 403?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 36, -83, -1 in descending order.\nAnswer: 36, -1, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/35, 0.01, 3, -1\/87, 0.7, -6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -630203350 rounded to the nearest 100000?\nAnswer: -630200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -11. Let x = -288\/5 + 58. Let m = 71.2 + -71. Which is the nearest to x?  (a) -0.5  (b) s  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35 + 1 - (-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 13, 5, 0.1, 1\/199, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*y + 27*y - 11*y)*(-8 - 8 + 41) to z*y + s and give z.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvmmvvmvvvvvvv?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-10)\/2)\/(12\/(-9)))\/(739\/(-5912))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -796.1 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288958.9189 + 1314.\nAnswer: 290272.9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -596*f = -122*f + 55655 + 16867 for f.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 + 102 = 27*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h + 4. Let u(g) = -g**2 + 8*g + 11. Let w be u(8). Let b = w + -8. What is y(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -94bd - 81?\nAnswer: -9560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -15*q + 3. Let p(b) = 76*b - 16. Let w(h) = -2*p(h) - 11*v(h). Let l be w(3). Calculate the greatest common divisor of 95 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 9:12 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5006.62ml to litres.\nAnswer: 5.00662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*q - 32*q = 42. Solve k + 6 = -q*a, -9 = 3*k - 0*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*m - 2*m - 20. Let u be (-14 - (-552)\/36)\/(14\/3). Put u, m, 0, 3\/7 in decreasing order.\nAnswer: m, 3\/7, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -625038.1 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 3*v**5 + 21*v**4 + 42*v**3 + 24*v**2 = 0?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*c = 2, 24 = 4*h + 4*c. Let d be (6\/5)\/(4\/10). Suppose -5*p - 2 = -4*j + 1, 5*p = 5. Solve 4 = -d*g + z, j*z = 2*g - h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-2))\/((3\/(-1))\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5647 = -67*t - 5848 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*r + r + 3*r)*(-10 + 3 + 1) in the form j*r + i and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 527426 is divided by 202.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 8 = 2*c, -z - 8*c + 2 = -7*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12627*t + 12620*t + 714. What is the highest common factor of t and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 1\/6  (c) 500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-28)*8\/4)\/(168\/84)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12  (b) -4\/3  (c) -24  (d) -5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 294\/(-210) + 3*(-544)\/(-30). Suppose 0 = f + 2*f - 75. Let i = d - f. What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 - 47*g - 12.\nAnswer: (g - 12)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 3*w**2 + w + 4. Let d(f) = f**2 - 6*f + 2. Let b be d(5). Let t be x(b). Suppose -3*r + 7*r - 2*z = 8, 5*z = 5*r. Is t bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 3)\/(3\/(-6)) - -5. Find the first derivative of 4 - 4*f**q - f**3 - 9 + 4 wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 760400, 760521, 760642?\nAnswer: 760763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 370 - 370. Solve j = 3*a + 16*a + 95 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 300941*k**2 - 4*k - 22926.\nAnswer: 601882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = g - 0. Suppose 4*b = -5 - g. Let x be b\/7 - 4\/(-14). Solve 2*d + 10 = -x*d - 4*c, 20 = -4*d - 3*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of h**3\/3 + h**2\/2 - 125. Let w(r) = -r**2 - r. Determine -w(t) - 3*x(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -5*u - 22. Let d be b(-5). Let z(y) = 5*y**2 + 1 + 15*y**3 + y + 3*y**d - 4*y**2. Give z(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/4 - 143411*z**3 + 20567862177*z**2 - 329058260432*z + 1316196329536.\nAnswer: (z - 286814)**2*(z - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f**4\/5 + 36*f**3\/5 + 48*f**2\/5 - 36*f\/5 - 42\/5 = 0 for f.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 1026186*x**2 + 656*x + 655. Is g(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 207 and 376818?\nAnswer: 26000442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 154 - 79. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 149, -5 in decreasing order.\nAnswer: 149, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4073240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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 o = -1537 - -2144. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**3\/3 - 5*j. Let g(f) = -f. Let h(l) = -3*l. Let s(o) = -5*g(o) + h(o). Calculate i(s(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.017 or 6854?\nAnswer: 6854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*s + 34*s = -238540. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 904 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/28)\/3*232\/(-957).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 56 - 29 + 4*y**2 - 11 with respect to y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(10)\/sqrt(5))**2 + -1 + sqrt(2) + 0.\nAnswer: 7*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -105*q**2 + 1290*q - 54. Calculate x(14).\nAnswer: -2574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 2*o + 1. Let v be a(3). Suppose 4*d - 9 = -30*t + 33*t, 3*d + t - 10 = 0. Solve 0 = -n + 5*j + 6, v = d*j + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 707 = -4*t, -51*t - 1185 = -5*p - 46*t. What is the remainder when p is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 191 - 14*q + 149 - 339 + q**3 + 12*q**2. Determine l(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 19*c**2 + c + 4. Let g be p(-19). Let v(x) = -x**2 - 18*x - 18. Calculate the smallest common multiple of 30 and v(g).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8, 15, 24, 35, 48, 63, 80?\n\"Answer: v**2 + 4*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/240825741 or -1?\nAnswer: -1\/240825741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/3 + 88626168*g + 2945474120386584.\nAnswer: 2*(g + 66469626)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 22, -150, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-13))\/(218\/2834)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 91339769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 95*v**4 - v**3 + 516 with respect to v.\nAnswer: 380*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 x when three letters picked without replacement from lddvx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 142338 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-32)\/(u\/(u**8*u)) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-6) + 1569\/(-666). Let z = i - -7\/37. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75712676 is divided by 876?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 5302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 - 114403*d + 114403*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = -3*y + 84. What is the remainder when (y\/70)\/((-1)\/165) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6.7 - -7. Let o = l + -0.2. Is o greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from vnnvnnvnnnn.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65\/2 or -34180?\nAnswer: -34180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2567, 19970, 67229, 159278, 311051, 537482?\nAnswer: 853505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**3 + 4995*j**2 - 96955*j - 925155 = 0. Calculate j.\nAnswer: -7, 27, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*a + 3*a = 30, -3*s = -4*a - 35. Let r be -3 + 58 + s + -6. Calculate the greatest common divisor of 36 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a factor of 83974000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 6.5. Let u = b - 0.52. Let m = u - -0.02068. Round m to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w - 3*w - w + (-w + 0 + 0)*(-1 - 2 + 1) + (0 + 0 + 2)*(2*w + 0*w - w))*(0 + 2 + 1) in the form r + g*w and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -6*t**2 + 6065*t - 744600. What is q(143)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s*(s\/(s\/(s**(-2\/3)*s))*s*s)\/s)\/s*((s\/(s\/(s**2\/s)*s))\/s)\/s)\/(s**(-1)\/s)**(10\/9))**(-37) assuming s is positive.\nAnswer: s**(-1184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 at least 77\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1434, 1428, 1408, 1368, 1302, 1204, 1068, 888?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 58 - 79. Let u = z - -25. Let p(x) = x**3 - 4*x**2 - 4*x + 3. Calculate p(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 11 - 2 - (-11 + (42 - 42)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1983 + 1978. Let t = -35 + 22. Let v = t - -5. What is the nearest to 3\/4 in p, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3 - 4*c + 0 - 1 - 3. Suppose -4*v = -12*v + 56. Calculate the remainder when g(-5) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h + 12 = 10*h. Solve 8*p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 21, 13 in ascending order.\nAnswer: -2, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - 0. Let j be i\/4 + 17\/4. Suppose z + 1 = j. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 361244*y**2 + 2*y**4 - 1696*y**3 - 389843*y - 55675*y - 271890*y + 357858.\nAnswer: 2*(y - 423)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 15 = 0, v = -p - v + 1187. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3417*x - 188164. What is g(55)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 2*d = 3*a - 29, 0 = -3*a + 4*d + 5. Suppose 7*q - 4*q + 15 = 0, -y = 3*q + 28. Let r = -8 - y. Solve 4*o + 7 = r*k, 0*k + 2*o = -k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(2\/5))**(-9\/11)\/((w**(-4)*w*w*w)\/w**0))\/(((w*w\/w**(4\/5))\/w**6)\/((w*w**1)\/w)**43) assuming w is positive.\nAnswer: w**(2621\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 + 6. Let m(a) = a**2 + 1. Let r(v) = 6*m(v) - w(v). Let f(q) = -q. Give r(f(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/8*((-20)\/14 - -2). Solve 2*l = -g + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 2\/3  (c) -0.25247  (d) -43  (e) 0.1  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -166*n**2 - 23633*n + 15017. What is k(-143)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1.363342, -0.15 in descending order.\nAnswer: 1.363342, 0.3, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -2*o - 3*c - 2*c, 4*o = c + 8. Sort o, 2, 170.\nAnswer: o, 2, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 120*d - 41*d - 99*d - 12 in the form c + q*d and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 840.4387l to millilitres.\nAnswer: 840438.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, -2747\/3, 11\/4, 6, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -36. Let p = i - 11. Solve p*v = 2*g + 4, -v - 2*v = 3*g + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -105576071 or -105576072?\nAnswer: -105576071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 19 = -34. Suppose -4*n - 3*f - 4 = 0, -n = -0*f - 2*f - 10. Put n, 4, c in increasing order.\nAnswer: c, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-14) - 240\/(-1575).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -52*x - 464*x - 269*x - 135*x. Let m(r) = 7*r. Calculate b(m(i)).\nAnswer: -6440*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 5, 1\/2, -0.2, -1, -1236, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -822, -1, -10, 5 in decreasing order.\nAnswer: 5, -1, -10, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 4 - 4)*(6704*v - 13345*v + 6697*v - 4).\nAnswer: 112*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.14, 1.076, -3\/7 in descending order.\nAnswer: 1.076, -0.14, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-5880)\/882)\/((-1)\/9*4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9390 + 47483\/5. Let r = 4229\/40 - f. Find the common denominator of r and 27\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033590 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 9.0000017. What is g rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**3 - 5*h**2 - 4*h + 2. Let w(c) = 2*c**3 - 4*c**2 - 3*c + 1. Determine -3*a(q) + 4*w(q).\nAnswer: 2*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 20320829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 252 = -4*i, -41*s - 2583 = -531*i + 526*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/41)\/(v*v*v**(-2\/17)))**(-5\/8) assuming v is positive.\nAnswer: v**(3195\/2788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 513*s**2\/2 + 202*s + 208. Is z(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1260)\/270)\/((-1)\/((-6)\/8))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 174378 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -3*o**3 + 25*o**2 - 74*o + 62. Give g(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 25198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4469922 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: Calculate the greatest common factor of 14196108 and 3540.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28.87 + 30.87. Which is smaller: 31.9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*d**2 + 7*d**2 - d**2 + (2*d + 2*d - 6*d)*(2*d - d - 2*d) + d + 9 - 4*d**2 + 0*d - 7 in the form v*d**2 + z + s*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001253512695 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36163 (base 7) to base 6.\nAnswer: -111151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 8. Let f(g) = g + 8. Let y(l) = 2*f(l) - 3*r(l). Let m be y(3). Let x = 32 + m. Calculate the highest common divisor of 270 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96376861167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12752, -12828, -12904, -12980?\nAnswer: -13056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + i + 1. Let y be s(1). Let v = 14 - 10. Let n = 0.4 + -0.3. What is the smallest value in v, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -1. Let b(k) = 14*k + 1. Let r(z) = b(z) + s(z). Let f(x) = -x**2. Give f(r(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**2 + 42*k**3 - 78*k**3 + 34*k**3.\nAnswer: -2*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 520142\nAnswer: 260071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 - 0.09. Let n be ((-4)\/3)\/(-1 + 0). Which is the nearest to -1?  (a) -4  (b) n  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102 divided by 2394\nAnswer: -17\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2 = 0, -v = -5*p - 23 - 5. Let m = 104 - 68. What is the greatest common divisor of m and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -120302332?\nAnswer: 120303003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 1780, -0.4, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 3*x**2 + 5*x + 2. Suppose 0 = 3*t + 4*j - 17, -4*j - 38 = 79*t - 65*t. Let n(q) = -6*q - 4. Calculate t*n(b) - 4*v(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -516 + 259 + 257 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.09 - -0.01. Let o = v + 0. What is the nearest to o in 5, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n - n**3 - 10*n**2 + 6*n**2 - 2*n**2. What is the lowest common multiple of j(-6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/71, -5, 3\/5 in ascending order.\nAnswer: -5, -2\/71, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (0 - (5 + -5))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -4*k**2. Let m(a) = -10*a**2. Let h(d) = 5*d**2. Let t(i) = 7*h(i) + 3*m(i). Let y = 0 - 2. Give y*t(v) - 3*g(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 23601983 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.04 + 2. Let r = 0.26 - q. What is the nearest to 1\/3 in r, 0.2, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -3*x**3\/8 + 3570*x**2 - 67829775*x\/8 - 340578375\/4 = 0.\nAnswer: -10, 4765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/10, -1, 10, 2031 in descending order.\nAnswer: 2031, 10, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 219.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*s**2 + 20*s**2 + 21*s**2 + 24*s**2.\nAnswer: 89*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 2, 5*h + 2 = -7*k + 11*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wgeclec. What is prob of sequence glwe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 20 = 0, 12*k + 5*r + 2925 = 17*k. Solve -582*x + k*x - 24 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z - 3. Let j be m(3). What is the units digit of 2 - (j*-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-27)\/(j\/((j*j*(j*j\/(j**19\/j))\/j)\/j)))**(1\/3) assuming j is positive.\nAnswer: j**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9433183*c*j - j - 4062306 wrt c?\nAnswer: 9433183*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 4*p - 6, 0 = -3*k + p - 109. Let q = k + 64. Let s(y) = -y**3 - 4*y**2 + 2*y - 4. Calculate the least common multiple of q and s(-5).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5709 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 97*k - 471. Let f(o) = 35*o - 158. Calculate 11*f(i) - 4*h(i).\nAnswer: -4*i**2 - 3*i + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 5) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 divided by 7094.\nAnswer: 57\/7094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/(-10))\/((-10)\/(-50)). Let v(p) = p. Is v(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.21 - 68.79. Let o = r + 65. Let j = 0.05 + -0.45. What is the second biggest value in j, 6, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3229107034 rounded to 5 decimal places?\nAnswer: 0.32291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-18))\/((-52)\/1248)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2595*0.156\nAnswer: 404.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 177, 394, 695, 1080, 1549?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + 2)*2 + 8. Suppose 2*a = -6, -3*f - a = -n*a - 21. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-43)\/9 + (-6)\/27. Which is the second biggest value?  (a) 5  (b) j  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -329983, -329759, -329535?\n\"Answer: 224*z - 330207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - l - 1. Suppose 0 = 4*g + 8, 0 = 3*v + 22*g - 17*g + 7. Let h(i) = 3*i**3 - 2*i - 2. Give v*h(k) - 2*u(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 8:10 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - -4) + -1 + -1 + 21 + (-24 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l**2 - 4*l + 2. Let s be o(2). Let i = s + -7. Let z(h) = -4*h + 1. Determine z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2439411 divided by -3\nAnswer: -813137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8666*j**2 + 3*j - 989.\nAnswer: -17332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/8 - 109*g\/8 - 2431\/4.\nAnswer: (g - 143)*(g + 34)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -471 - -471.4. What is the closest to 0 in x, -125, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 66, 5, 0 in ascending order.\nAnswer: -22, 0, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-26) + (-4)\/(-26). Let z = 3 - -3. Let t be (b - (z - 3))*-1. Solve 2*u = u - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -5*x**3 - 3*x**2 + 50*x + 6. Is r(-10) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17190 and 5588660?\nAnswer: 50297940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 36*y + 130 = 33*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2 + sqrt(243))*2)**2 - sqrt(243)) + (sqrt(243)*2 + 5)**2.\nAnswer: 27*sqrt(3) + 1985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1153093 and 635.646?\nAnswer: 1152457.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from {x: 3, c: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 297*d = -305*d + 38, -3*d + 42 = -5*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 5*j + 2. Let f be p(-5). Let m(x) = -4*x**2 - x**2 + 3*x**f. Let y(c) = -2*c**2. Give y(m(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, i: 6, v: 3, l: 4}. What is prob of picking 1 i and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -3449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 5:54 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -156848 + 156848 + 177*n**5 + (3*n**4 - n**4 - n**2 + 0*n**4)*(5 + 2*n - 5).\nAnswer: 181*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13357\/6 + -2207. Let p = 3574 - 25071\/7. What is the common denominator of y and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2 - 3*v + 2. Let j be t(2). List the prime factors of ((-4)\/2)\/(j\/(-58)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*s**2 + 2*s**2 + 15*s**2)*(-2*s - 2*s + 3*s).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/35233307 and 59\/613574?\nAnswer: 916065982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a**3 + 5*a + 27. Let i(k) = 12*k**3 - 9*k - 54. Calculate -9*b(y) - 5*i(y).\nAnswer: 3*y**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 521045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 5*q - 120. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (-6495)\/500)*(-8)\/1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n + 2. Let x be z(-8). Let j be -2 + x\/(-2) + 2. Solve 0 = q - j*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -133*r**4 - r**2 + 463*r?\nAnswer: -3192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1021609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -611, -94, 22, -1 in descending order.\nAnswer: 22, -1, -94, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 4*m - 21. Let j be i(7). Let k = 115 - j. Let r(h) = h**2 + 4*h - 1. Let f be r(-5). Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 462*l - 99*l = -245*l + 12768 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 742155*v + 742137*v + 742174*v - 2226407*v.\nAnswer: 59*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1275)*1)\/(3*(sqrt(3) - sqrt(27))) - (2 + (sqrt(34)\/sqrt(2) + sqrt(17))*4 + 0))**2.\nAnswer: -239485\/36 - 530*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-20))\/(k**12*k)*(k\/k**1)**2 assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -347329\/145 + 11986\/5. What is the common denominator of -25\/4959 and n?\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-36)\/(-1*3) - (-6 + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -512.1 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 4*v**2 + 2*v - 6. Let t be x(4). Solve t*n**3 - 3*n**3 - 8*n**2 + n - 2 + 10*n**2 = 0 for n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3182 by -259.\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -253 - -61. Let c be (-2)\/(-9) - u\/(-135). Let r = -25 + 23. Does c = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)*5 + sqrt(128)*1)\/((sqrt(64) - -2*1*sqrt(64)) + (sqrt(64) - sqrt(64)*1*-5)))**2.\nAnswer: 841\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -124.573 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -2\/110910495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d - 4. Let u(c) = 3 + 0 + 3 - 14*c + 5. Let m(p) = 8*q(p) + 3*u(p). What is the units digit of m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2 + 10*v + 7. Let o be u(6). Sort -3, o, 5.\nAnswer: o, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 118, -111, -5 in decreasing order.\nAnswer: 118, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 255455 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 153967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9586.479 millennia in years?\nAnswer: 9586479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of w**5\/5 + w**3 - 4*w + 101. Let r(k) = -2*k - k**4 - 4*k - 4*k**2 + 6*k + 5. Let v(p) = -5*b(p) - 4*r(p). Solve v(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*l**2 + 5*l - 4*l + 5*l**2 to g*l + m + j*l**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 5 + 31. Calculate the smallest common multiple of 21 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -29*b + 15 + 33 - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in 126, -115, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Suppose 4*f + 6 = 2*v, 0 = -2*v - p*v + 5*f + 6. Calculate the remainder when 21 is divided by (v + (-2)\/(-3))*-33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-648)\/(-20))\/18)\/((-6)\/40).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.56406 millimeters to nanometers.\nAnswer: 14564060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83848 and 3816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32254620 to the power of 1\/2, to the nearest integer?\nAnswer: 5679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 11, r: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -5*m - 32, -3*m - 2*a = -7*a + 1385 - 1353 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 478 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xwgxfg. What is prob of sequence fgw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -7*z**3 + 8*z**2 + 4. Let h be a(-3). Let t = -50357\/182 + -74\/91. Let j = t + h. Which is bigger: j or -13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 33*o - 279. Calculate s(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/((-2)\/4*1*28\/84*-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 86328881 divided by -1?\nAnswer: -86328881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 624 = o, -113 - 14 = -d + 2*o. Let c(j) = 4*j + 123 - 4*j**2 + 4*j**3 - 244 + 0*j + d. Let u(g) = -g**2 + g + 1. Give 3*c(f) - 12*u(f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a tonne in kilograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 15*a + 1. Suppose -15690 = -a*j - 3*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(72) + 1 + sqrt(72) + -3*sqrt(72) - sqrt(72))*-3 - -4*(sqrt(72)*2 - sqrt(72))*-2)**2 + -5.\nAnswer: 72*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2679 (base 12) to base 6\nAnswer: -32233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2305826 - 10?\nAnswer: 2305816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1331) + (sqrt(1331) - (2 + sqrt(1331))) + -3)**2 + (((1*sqrt(1331))**2 - sqrt(1331))*5 - ((0 + sqrt(1331) + 2)**2 - sqrt(1331))))*3.\nAnswer: -462*sqrt(11) + 19980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/4)\/((-14)\/(-616)*11*-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -1  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22513505*q**2*z - 40945721*q**2 wrt z?\nAnswer: 22513505*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20 in -18\/23, -3294, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 20 + (-8 - 1) + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 11*s**3 - 2*s**2 + 3*s - 2. Let b be g(1). Suppose -b = 5*k - 40. Calculate the remainder when 2 - 84\/(-9) - 2\/6 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124 - 196 = 9*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/36)\/((-31)\/4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 - 1104\/(-128)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3273 = -r + 2802. Does 37 divide (-4)\/(-22) + r\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 29 = -k - 0*k, 84 = 2*k - 3*t. Let f = k - 36. Suppose 3*c + 6 = 0, w - 278 = -f*w - 3*c. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-7.9\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 97955270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l. Let g = -5 - -7. Let v(s) = 2*s - 2*s + g*s + 2*s. Determine m(v(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 35010 - 10206 = 4*v, 0 = 3*m - 2*v - 14878. List the prime factors of m.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19482469 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -179.8702 - -180. What is h rounded to 3 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/2 + 6464*v**3 + 20891648*v**2.\nAnswer: v**2*(v + 6464)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**3\/5 - 14981*f**2\/5 - 433512*f\/5 + 1435392\/5 = 0.\nAnswer: -14952, -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -401 + 404. What is the second smallest value in -3\/5, -8, t, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 5 - (12 + 3 + -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -4*b. Let u(g) = -2*g + 1. Let c(z) be the second derivative of -17*z**3\/3 + 3*z**2 + 12*z. Let t(o) = -c(o) + 6*u(o). Give r(t(q)).\nAnswer: -88*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 smaller than -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*u + 89*u = -463*u - 473 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 2*c - 4. Determine w(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1081712318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (168\/245)\/(2\/7)*(-20)\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 0*w + 4*w)*(-4 + 0 + 3 + 3 - 2 + 1 + (1 + 1 - 1)*(0 + 4 - 2)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - -13. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 0*h + 1. What are the prime factors of (h - 84\/(-3))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 49.429 to 0 decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 200b960c + 2?\nAnswer: 200b9610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/10*(-32 - (-2212)\/56)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63279*q**3 - 177*q**2 + 6968395*q.\nAnswer: 379674*q - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 104.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(81\/9)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(1 + 1 + 1). Let i(g) = -19*g - 4. Is i(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z = -20 - 30. Suppose -6 = -2*c - 8, 0 = 2*p - z*c - 17. Solve m + p*b - 13 = 2*b, 3*b - 3 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0057 + -33.9943. What is the second smallest value in -5, k, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2070 and 45.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*6*(0 + 5*(-1*sqrt(1872) + sqrt(1872))) - ((-1 + (sqrt(1872)*1 - sqrt(1872)))**2*-4 - -1*(sqrt(1872) + 0)*-2).\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.486 - 0.224. Round n to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7 and 37873?\nAnswer: 37866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11, 33, 69, 119, 183, 261, 353?\n\"Answer: 7*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + o + 4)*(4 - 4 - 4*o) + 2*o**2 + 4*o**2 - 4*o**2 + o**2 + 3*o + 0*o - o.\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + 7*55 + 2. What is the derivative of 362*z**2 - f*z**2 + 7 + 16 wrt z?\nAnswer: -58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/7)\/((-19)\/1*73*(-37)\/(-18907)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11938.\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 2606544?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 2*m - 397 - 1131 + 16.\nAnswer: -8*m - 1512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -2.8  (c) 1\/2  (d) 2  (e) -4684  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 29*z**2 - 76*z - 10. Calculate l(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7004, 6953, 6932, 6953, 7028, 7169, 7388?\n\"Answer: 2*z**3 + 3*z**2 - 74*z + 7073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -185526, 6, 26 in increasing order.\nAnswer: -185526, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5555*c**2 + 126288*c - 1315476600.\nAnswer: -11110*c + 126288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**2 - 6*p**2 + 3*p**2 + (2 - 2 + 4)*(-1 + 3*p**2 + 1) - 4*p**2 - 6*p**2 + 3*p**2 to k + i*p + c*p**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -20*c**2 + 5*c. Let b(w) = -w**2 + 0*w**2 + 0*w - 2*w + 8*w**2. Suppose 4*v + 27 - 3 = 0. Give v*o(y) - 17*b(y).\nAnswer: y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 14 = 50. Suppose -2*m = -b + c, -4*b - 3*m + 0 + 15 = 0. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9857328 is divided by 478?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*(-1350)\/(-135)*(-6)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.4*-0.1\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 7 = 4*z. Let m be 1*(-4 - 2) - -6. Solve m = 3*p - 0 - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 5 + 3. Let d = 106.7 - 109.7. What is the fourth smallest value in 0.3, t, -16, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h - 138600 = 1971*h + 791*h for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*r - 13. Put r, 2, 1 in increasing order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 3*o**2 - 1. Let p(w) = -2*w - 6. Let t be p(-4). Let b be c(t). Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 288\/30 - 14\/(-35). Solve -i = 2*j - 3*i + o, j = 4*i - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75 divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/5  (b) 376  (c) -3  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, -0.4, 7.37, -0.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -k + 2*y + 10, -3*y - 3 = k. What is the third derivative of 3 - 6*j**k - 5*j**2 - 4 + 1 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46.99 + 0.99. Let p = 625050 + -625003.9999866. Let u = x + p. What is u rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**2 - 10*s - 8. Let n(l) = 16*l**2 + 51*l + 41. Let m(r) = 11*j(r) + 2*n(r). Is m(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/7, -98, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3 - 165187*g**2 + 1871745*g - 605561.\nAnswer: (g - 55051)*(g - 11)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -2. Let g = -11 + 29. Suppose 2*b + h*b = g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 4*y + 275, 3*y - 765 = -6*i + 3*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -b**5\/10 - 41*b**4\/6 + 112*b**3 + 12226*b. Factor l(h).\nAnswer: -2*h*(h - 7)*(h + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313417.\nAnswer: 13, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 218 - 208 - (-5667)\/(-568) and 65\/44.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - u + 290, 3*u - 162 = 3*m - 6*m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010110000001100110 (base 2) to base 16.\nAnswer: 116066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*h**2 - 6 + 2*h**2 - 7*h**2 + 3*h**2 as s*h + b + t*h**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + o**2 + o - 21. Give g(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -9*i**2 - 4*i + i**3 - 13 - 5*i**3 + 3*i**3. List the prime factors of y(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1923270 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -195, 2, 329, 786, 1373, 2090?\nAnswer: 2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in 2, 0.3, -2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from wwbmazzyy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1\/13)*g*(g\/(g**(-5\/2)*g))\/g)\/((((((g**(-8)\/g)\/g)\/g*g)\/g)\/g)\/g)**(-3\/7) assuming g is positive.\nAnswer: g**(-391\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 - 2) + 4 + (1827 - 0) + -4. What is the greatest common divisor of 124 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14290 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + 16. Calculate the remainder when 63 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 2. Let a be m(-2). Suppose o + 0 + 3 = 0, a = 5*y + o - 42. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6498738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 3*w - 20. Does 14 divide k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**5 + 0*d**5 - 2*d**2 - 2*d**2 + d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f - 6824*f**2 + 6*f**3 - 6829*f**2 + 13653*f**2)*(4 - 3 + 0) in the form r + d*f**2 + v*f**3 + p*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {w: 1, h: 2, g: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 37299422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 1135 a factor of 1056034645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 11) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -s - 5. Let o be (12\/9)\/(s\/(-123)). Round o to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from bbhabhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q**3 + q**2 - q**2 + 5*q**3 - 3*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6595 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 34619520 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -48590.309 - -48613. Let r = c - -3.399. Let f = 26 - r. What is f rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000310633588 to 7 dps.\nAnswer: -0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/4  (b) 0.2  (c) 4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-264)\/10)\/12 + -10 + 64\/16.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/3989792 and -29\/1394.\nAnswer: 67826464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 177995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5900 + -5380. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*p**4 - 29*p**4 - 41*p**4 - 40*p**4 - 3*p + 9*p**2 + 123*p**4 as c*p**3 + g*p**4 + y*p + u*p**2 + d and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/35442 and 89\/147708.\nAnswer: 26439732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 31 = 211. Find the first derivative of m - 8*x + 17 - 20 + 6*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200 + 12022021?\nAnswer: 12101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -56*r + 166. Let c(d) = 27*d - 83. Let z(v) = 20*a(v) + 41*c(v). Determine z(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 2*o + 18108 = 18104, -7 = -3*k + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 620 (base 7) to base 11.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45 - 48 - 7*m + 758*m + 121*m)*(-2 + 3 + 0).\nAnswer: 872*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/5324870 and -19\/21805.\nAnswer: 260918630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80, -380, -880, -1580, -2480, -3580, -4880?\nAnswer: -6380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1629947.\nAnswer: 11, 71, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 + 125789.\nAnswer: 125789.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -27026*s. Let t(q) = -11*q**2. Give t(v(i)).\nAnswer: -8034451436*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -12*s**3 - 181*s**2 - 20*s - 64. Calculate d(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 190 = 5*t, 4*t - 3*r = 5 + 128. Differentiate t*p**3 - 10312*p + 10312*p - 44 wrt p.\nAnswer: 111*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-66)\/(-2)*(-11)\/(-99)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 27 - (1 - 0)*3. Suppose 16*u - 10*u - 42 = 0. Suppose 0 = -4*b + 3*a + 9, 2*a - 4 = -3*b + u*a. Calculate the highest common factor of b and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 1\/10*d**6 + 0 - 1\/2*d**2 - 5*d + 0*d**3 + 0*d**4 + 0*d**5. What is the first derivative of c(i) wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29723273 divided by 6\nAnswer: -29723273\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6721282ml to litres.\nAnswer: 0.0006721282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83255 (base 9) to base 13.\nAnswer: 1bca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**2*d)\/d*(d*(d**(-1)\/d)\/d*d)\/d*d)**(3\/32) assuming d is positive.\nAnswer: d**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8781333817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9300?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - -1)*(-1)\/(-2). Let t = -59131\/55 + 1075. Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 7*m = 80. Let a be 3*-2*(-55)\/10. Suppose -2*p - 3*o - 3 = -59, -o = -p + a. What is the remainder when p is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/1249794809?\nAnswer: -2\/1249794809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 5*b = -2*z, 0 = 5*z - 5*b. Let w be (-2)\/4*1*z. Let f(l) = l**2 + l + 28. What is the tens digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*n = -22, -2*m = 3*n - 27 - 7. Let o(r) = r**2 + 3*r - 33. Let s be o(m). Round s to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 12*k**3 - 5*k. Let s(l) = -13*l**3 + 6*l + 1. Let b(i) = 5*s(i) + 6*x(i). What is the derivative of b(r) wrt r?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -3*v - 35, -4*v - w - 10 - 14 = 0. Sort v, 0.3, 201 in ascending order.\nAnswer: v, 0.3, 201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 83664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 85986 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -271 + 155. Let f = x - -116. Which is the closest to f?  (a) 5  (b) -1  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 1. Let q be g(9). Let t be (-340)\/(-16) + 2\/q. Suppose 5*c = -10, 2*o + c - t - 39 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/9))**(-7\/8)\/((c*c**(-11\/5)\/c)\/(c*c**18*c*c)) assuming c is positive.\nAnswer: c**(2053\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 263 + -259. Suppose -4*c + 4 = -4*n, 0 = -n - 3 - 0. What is the closest to c in -2, 0.2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z - 114718702495*z**3 - 2*z + 114718702485*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.2969 + 33.\nAnswer: 30.7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 2*y + 5. Is y less than -27\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16419 = 21*s + 18*s. Let r = 459 + s. What is the remainder when 151 is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/((-5)\/(-45))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -33*p**4*w**3 + 27514*p*w**3 + 236221*w**3 - 1 with respect to p.\nAnswer: -132*p**3*w**3 + 27514*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24959589 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (68\/10)\/((-18)\/(-45)). Let p = o - 15. Is 276\/(-12)*p\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*j - 54*j - 294 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 13. Let m be o(-7). Let f = m + 3. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -95 - -498. Let c = f + -84. List the prime factors of c.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.08031 - 23.91749. Let c = r - -24. Round c to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/5*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282 = -10*q - 332 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 PM and 5:41 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3b (base 16) to base 7\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**5\/20 - 1817*y**4\/6 + 3371*y**3\/3 + 2*y + 934. What is the second derivative of s(n) wrt n?\nAnswer: 6*n - 7268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 12:17 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/21, -3, 3\/7, 12\/35, 0.1, -1\/1263?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 3:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2174, 8713, 19612, 34871, 54490, 78469, 106808?\n\"Answer: 2180*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3*w = 120, 2*w + 98 = 4*b - 18. Calculate the highest common divisor of 387 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a*p**4 - 2*a*p**2 - p**5 - 84*p**4 - 232*p wrt p.\nAnswer: 48*a*p - 60*p**2 - 2016*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9621 - -9616.831. Let g = x - -0.169. Let v = 6 - 6.4. Which is the third smallest value?  (a) v  (b) -0.2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45922 + -45918. Sort -231, d, 1\/17.\nAnswer: -231, 1\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*p = -5*u + 214*p - 55, -2*u - 4*p - 22 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*j + 4*i - 20 = 116*j, 3*j - 19 = -2*i. Which is the closest to 0.1?  (a) j  (b) 1\/2  (c) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*w + 22, 12 = -5*l + w - 16. Let r(f) = f**3 + 4*f**2 - 10*f + 13. Let j be r(l). What is the hundreds digit of 3270\/15 + j + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4978.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 25, 14, -11, -56, -127, -230, -371?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -2*q. Suppose -3*l + 5*s + 21 = q, -5*s - 1 = l + 12. Determine p, given that p + p**2 - p + l*p + p**3 + 2*p**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6562153271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -46*k**5\/5 + 22*k**2 + 39. Find the second derivative of v(j) wrt j.\nAnswer: -552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**2 + 83*c + 309. Give z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25 - -24. Let p = -1528 + 1523. Sort 39, p, i.\nAnswer: p, i, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44687 - -142065. Let g = 97430.0115 - r. Let f = 52 - g. Round f to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*f - 47 - 34, -9 = -f + 3*z. Suppose 0 = -19*x + f*x + 1005. Is x a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12972 and 92?\nAnswer: 12972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 142 + 504. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 696782*z + 7 + 8 - 15 + 0.\nAnswer: 696782*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3382965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, -1, -0.0832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000018372 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11228447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 419 + -418.9998286. What is f rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from tttbbttb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5803 from 10.9.\nAnswer: -5792.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 3 + 29)*(d + 4 - 4) + 2 - 3*d - 2.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -13. Let i be ((-13)\/(5460\/(-36)))\/(3\/5). What is the third smallest value in -1, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 84 - 77 - 1204*o + 366*o to k*o + h and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.889373 millilitres to litres.\nAnswer: 0.009889373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -161, -975, -2931, -6515, -12213, -20511?\nAnswer: -31895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46*u - 27*u**5 - 63*u + 84*u + 3*u**3 wrt u?\nAnswer: -540*u**3 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/76315 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -h**4\/18 + 2*h**3\/3 - 8*h**2\/3 + 130*h + 50. Let x(q) be the first derivative of b(q). Factor x(y).\nAnswer: -2*(y - 4)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.59 + -0.11. Let j = m - 0.3. Let w = -0.7 + 0.3. Which is the closest to -2\/5?  (a) w  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2435 - 1727. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*d + 289 = 84 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2 + ((sqrt(4400) + (sqrt(4400) - (sqrt(4400) + sqrt(4400)*3)))\/(sqrt(64)*3)*-6)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -388524800 rounded to the nearest 100000?\nAnswer: -388500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m*m**8*m*m*m**(2\/141)*(m**(-31)\/m)**12 assuming m is positive.\nAnswer: m**(-52450\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0*i = 16. Let q be 6\/((-7)\/((-14)\/i)). Solve 0 = -2*c - 3*n - 1, 0*c = 3*c + 4*n + q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4418978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1613\/924 + -1\/231. Suppose 0*l - l = 2. What is the second smallest value in l, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/950*323 - 234\/14 - (-1440)\/(-42)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 166785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(3 + 2) - -69. Let x = 71 - o. Solve x*m + 9 = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -2 + -1*sqrt(275) + 3 + (sqrt(3520) + sqrt(3520)*2 + sqrt(3520) + sqrt(3520))\/(-2*sqrt(80)))**2 + -3.\nAnswer: 20*sqrt(11) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.7, -3, -4, 18?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13675 = 1543*p - 8812*p + 40341 + 75100 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdx when three letters picked without replacement from {b: 1, d: 3, f: 2, m: 1, x: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8079 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4.87646 * 0.2\nAnswer: 0.975292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 3:00 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d - 4. Let p be n(4). Let m = -6 - -2. Does 18 divide m\/(-16) + 207\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/71?  (a) -8  (b) 4  (c) -9\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**4 + 143*a**2 + 2 - 152*a**2 + a - 14*a to the form m*a**4 + i*a + c*a**3 + b + f*a**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 9*k - 1. Let p(i) = 5*i - 1. Let j(o) = -11*p(o) + 6*r(o). Find the first derivative of j(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113448912 a multiple of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*u - 4, 4*n - 3 = 5*u - 7. Suppose 8 = u*h, 2*w + 4*h + 14 = w. Let b = w - -32. What is the greatest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -283285*m**3 - 639147*m wrt m?\nAnswer: -1699710*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-90)\/6*(-8)\/(-12). Let v be ((-12)\/15)\/((-436)\/r). Let d = -559\/763 - v. What is the closest to d in 0.4, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) - -2*sqrt(192))*5)**2 + -4 + -3 + (-3 + (sqrt(3)*-2 - sqrt(3)) - (0 + (sqrt(9)\/sqrt(3) - sqrt(3))**2)).\nAnswer: -3*sqrt(3) + 43190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 - -29 - (-27 + 27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 12. Let s be ((-1)\/(-6) - -1)*8. Let d = s - 9. Which is the third biggest value?  (a) j  (b) d  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tztttpzp. Give prob of sequence ppz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*b + 69 + 76 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31287 - -45699. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6993 + -575. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -2. Let s be ((-6)\/(-15))\/(1\/10). Solve 4*v - 2*l = 4, u*v - s*l = 2 + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(3\/5)*q*q)**46\/(q**(1\/44)\/q*(q*q**7*q)\/q*q) assuming q is positive.\nAnswer: q**(34667\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16208, 16682, 17154, 17624?\nAnswer: 18092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 369, 740, 1111, 1482, 1853?\n\"Answer: 371*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 11:32 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 186974\/5 in -3\/4, 5, 2\/5, 2\/7, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nbnn when four letters picked without replacement from {b: 1, n: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 2:07 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 647 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.1 + 2. Let b = -3510 - -3509. Sort u, b, -0.4, -0.2 in descending order.\nAnswer: u, -0.2, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5373 - 3424. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.0958 and -2137\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**3 + 7*p**3 + 2548*p + 2268*p + 4*p**3 + 1764*p.\nAnswer: 14*p**3 + 6580*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*b**3*v**5 - 23*b**3*v**3 + 50*b**3 - 3*b**2*v + 3*v wrt v?\nAnswer: -260*b**3*v**3 - 138*b**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 2*u - 8, -3*m - 1121760*u + 13 = -1121764*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2122 is divided by 1013.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 0.38887.\nAnswer: 0.194435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - (-12)\/3 - -1. Suppose 3*j - 78 - 57 = 0. Suppose -o = -k*u - j, -5*o - u = -o - 112. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 + 42. Solve 0 = p + k*u - 4*u + 10, 3*p - 3*u = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9153.677g?\nAnswer: 0.009153677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*v + 13*v + 13*v + 22*v - 64*v + 6889 as x*v + j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*v + 2*f + 1, 4*v = -2*f + 20. Let w = v - 1. Suppose 2*u - 28 = -w*u. What is the highest common divisor of 77 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5444 take away 0?\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -279*m**2*t**3 - 43*m**2*t + t**2 wrt t?\nAnswer: -1674*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 275*t + 155*t + 12*t - 37*t.\nAnswer: 405*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/((n\/n**(-2\/5))\/n*n*n))**(2\/65)\/(n**(-5)*n\/(n*(n**1*n)\/n)) assuming n is positive.\nAnswer: n**(1946\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/2 + 30*s**2 + 1053*s\/2 + 2187.\nAnswer: (s + 6)*(s + 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 7*z + 4. Give g(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 + 38. What is the tens digit of (-1 - 2) + n + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 18145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.9 + -8. Let k = 5 - 1. What is the nearest to -1\/3 in k, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*z + 192 + 4880. What is the remainder when z is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/640 and 163*(474409\/81120 - (-4)\/26 - 6).\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.1, 7, -13, -2\/3 in increasing order.\nAnswer: -13, -1.1, -2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -8*p**4 - 108*p**3 - 336*p**2 + 196*p = 0.\nAnswer: -7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 1.6  (c) 0.24  (d) 0.5  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1216989 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/7*53\/159)\/((-2)\/(-616)*4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 at least as big as -47488150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r + 14 + 3*r - 11. Let k = 4 + -9. Let x = 2 + k. What is a(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oggg when four letters picked without replacement from {v: 2, f: 2, o: 1, j: 5, g: 6}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494272277?\nAnswer: 23, 31, 359, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 14*t - 5. Calculate w(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 2*p + 4. Let q(m) = -m**2 - m + 2. Let k(f) = -h(f) + 2*q(f). Let x(s) = 14*s. Calculate x(k(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*m + 2*m = 118, m = -4*r + 139. What is the remainder when r is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(216)\/(-1*sqrt(4)))\/sqrt(3))**2*6 - 4*(3*(2*sqrt(72) - sqrt(72) - sqrt(72)))\/sqrt(4).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + 21)*9\/((-162)\/(-15)). List the prime factors of 3\/((-9)\/(-84)) + h + -20.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 443366 and 72?\nAnswer: 15961176","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 plus 3407.42?\nAnswer: 3407.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -534 at least -510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of m**4 + 232*m**3 - 6*m**2 + 127*m - 21 wrt m.\nAnswer: 12*m**2 + 1392*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 10:06 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 957524941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/7)\/(v**(8\/3)*v*v))\/(v**(1\/4))**(1\/22) assuming v is positive.\nAnswer: v**(-8381\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 9*y - 41. Let j be h(7). Calculate the remainder when 124 is divided by j - (44\/4 - 5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/189980 and 93\/490?\nAnswer: 1329860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -0.1, -5.4 in decreasing order.\nAnswer: -0.1, -2\/15, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.11 - -0.11. What is the fourth biggest value in 1\/6, v, 0.5, 0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 divided by 24225.\nAnswer: -8\/4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-80)\/56)\/10)\/(3\/(-63)). Factor -3\/4*w**2 + 3\/4*w + 3\/4*w**4 - 3\/4*w**s + 0.\nAnswer: 3*w*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -68114, -68975, -70410, -72419, -75002, -78159, -81890?\n\"Answer: -287*c**2 - 67827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 328791, 1315182, 2959171, 5260758, 8219943?\nAnswer: 11836726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 33\/(-6) - 7\/(-14). Let d(b) = 2*b + 7. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 728 a factor of 30759456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 18 + (-15 - ((-24 - -5) + -47))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -4*r**3\/7 - 2661374*r**2\/7 + 97145554*r\/7 + 49238120\/7 = 0.\nAnswer: -665380, -1\/2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(85)\/(-2*sqrt(500) + sqrt(5)) + (sqrt(1700) + (sqrt(1700) - sqrt(1700)*-1) + 3)**2.\nAnswer: 3419*sqrt(17)\/19 + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 59.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-3) + 1860\/(-279)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231340 is divided by 16433?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 371, 700, 1015, 1310, 1579, 1816, 2015?\n\"Answer: -k**3 - k**2 + 339*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(3\/5*(-135)\/(-162))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 468*v - 3384. Calculate the smallest common multiple of o(8) and 975.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258*f - 408 = -13*f + 134. Solve -3*s - 7 = g + 2*s, -f*g = 3*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1)\/u*u)**(8\/21)*u**6*u*u**(3\/7) assuming u is positive.\nAnswer: u**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -63 >= -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 2954.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 10*a - 14. Let r be (-1080)\/(-210) + 2\/(-14). Let g(w) = 2*w + 0 + 5 - 13 + r. What is 14*g(d) - 3*l(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 less than -1933482?\nAnswer: -1933471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88768, -88764, -88760, -88756, -88752, -88748?\nAnswer: -88744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -13\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1.3, -0.67, 0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -c - 4*z + z, c + 2*z - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5958 and 3592674.\nAnswer: 3592674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 104916654 divided by -17486109?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from mxccggfymmccfmxfmcm?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5976 or 5979?\nAnswer: 5976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) 0.2  (b) 10  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117, 129, 63, -63, -231, -423?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 15. Suppose -1 + 5 = o, 4*v - 24 = -q*o. Solve z - 1 = v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + h - 1. Let l(x) = -x**2 - 2*x + 2. Let f(o) = -l(o) - 2*u(o). Let q(b) = 11*b**2 + 17267 - 17267 + 44*b**2. What is f(q(v))?\nAnswer: -3025*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -13. Let g(n) be the third derivative of 2*n**2 + 1\/12*n**u + 0*n + 0 + 1\/3*n**3. Find the first derivative of g(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**14*x)\/x*x\/(x*x**(12\/5))*x assuming x is positive.\nAnswer: x**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n - 2. Let m(x) = 13*x**2 + 11. Let y(g) = 3*l(g) + m(g). Let h(a) = -7*a**2 - 5*a - 3. Determine -5*h(k) - 3*y(k).\nAnswer: -4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-2\/15)*r\/r**(-38))\/(r\/r**45*(r\/(r**19\/r))\/r) assuming r is positive.\nAnswer: r**(1543\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 357, 326, 281, 216, 125, 2?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28a4 - 4a?\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*p - 144, 5*k - 3*k - 4*p = 100. What is the remainder when k is divided by 152\/19*(5\/2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1304055843*s - 652028003*s - 652027837*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (7 + 9) - 8 - (-14 + 74).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10033 is divided by 1669.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -154, -441, -864, -1417, -2094, -2889, -3796?\n\"Answer: i**3 - 74*i**2 - 72*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -393, -1606, -3639, -6492, -10165, -14658?\n\"Answer: -410*w**2 + 17*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-40)\/(-7) + 74\/259 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -d**6\/70 - d**5\/14 - 3*d**4\/28 - d**3\/21 - 163*d. Let h(g) = 0. Calculate g.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0957 - -43.2043. Let x = 48 - o. Let l = -0.7 + x. Which is the smallest value?  (a) -1\/2  (b) l  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 - -32. Let f = k - 56.3. Let j = 3 + f. What is the second biggest value in j, -1\/2, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79307401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + 3b2?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 133.83 - 127.5. Let c = 5.6 - n. What is c rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-2))\/(360\/(-96))*15\/477?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -417*c**2 + 14177*c + 32. Determine q(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 3*b**2 - 2*b + 14. Let c be 152\/1368 - (82\/9 - (-2 + 5)). What is j(c)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81 + 87. Let k be ((-4)\/8)\/(h\/(-24)). Solve -d - 4 = -k, -4*n - 18 = 3*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 408 - 519. Let o be 76\/3 - (-37)\/y. Solve 20 = o*l - 21*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 0) + (16 - 20) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 3*(sqrt(2448)*-1 + sqrt(2448) + -4) + -6*(sqrt(2448) + 2)*2 + -3)**2.\nAnswer: 9792*sqrt(17) + 353668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 30*f**2 + 35*f + 246. Calculate the least common multiple of 396 and w(-29).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -17. Is a < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15161 - -15370. Calculate the remainder when k is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -220, -905, -2052, -3661?\n\"Answer: -231*g**2 + 8*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**2 - 11*w. Let d(l) = -7*l**2 + 23*l + 1. Let q(y) = 2*d(y) + 5*f(y). Let s(g) be the first derivative of q(g). What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/5 + 70\/(-25). Let z be -5*(p - 13\/(-5)). Suppose -3*g + z = -91. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j - 2*j**2)*(-2*j - 11*j + 24*j - 7)*(-6*j**2 + 3*j**2 + 0*j**2).\nAnswer: 66*j**5 - 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -318 + 382.4. Let d = -59 + x. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*z - 8*z + 164 = 0. Sort 1, -62, z in descending order.\nAnswer: 1, z, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 8*b - 2. Suppose 7*f - 37 - 19 = 0. Let m be h(f). Let j = 31 + m. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2157015.\nAnswer: 3, 5, 7, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 5*o + 19, -4*o + 13 = -7. Is (-4 + l)\/(2*2\/(-7586)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-36)\/8*(-131 - 1). Suppose k - 5*l = g + 139, 733 = k + 2*l. Suppose -5*h - 4*x = -k, -4*h + x + 599 = -0*x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.5 - 2.8. Let t = -0.05 - 0.95. Let u be -3*5\/(-6)*-2. Which is the nearest to l?  (a) t  (b) 0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of -l**5\/30 - l**4\/6 + 3*l**2. Calculate k(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*l - 3 = 0. Suppose l*j + 1 = 4. Let v = 2\/115 + 107\/460. Which is the second biggest value?  (a) j  (b) v  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1583, -3254, -4937, -6632?\nAnswer: -8339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/4)\/((-3)\/84). Let m(f) = 2*f**3 + 0*f**3 + 4 - 3*f**3 + 7*f**2 + 4*f. Does 13 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**9\/3780 + l**5\/24 - 5*l**4\/24 - l**2. Let i(n) be the second derivative of h(n). What is the derivative of i(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/(31\/((-744)\/(-192))). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 5*l + 1 = 0, -10*b + 6*b - 4*l = 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/14)\/(v*v*v*v\/v**4*v))\/(v**(2\/7)*v)**38)**41 assuming v is positive.\nAnswer: v**(-28659\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011111000101000100011100 + 101?\nAnswer: 1011111000101000100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.7, 1\/3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140\/63*-1*18\/(-15).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -62.2511 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3780784 and 1890392?\nAnswer: 3780784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-11) + 798\/33. Suppose -5*m + g + 26 = -4*m, -m + 2*g + l = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-6))\/((-53)\/954) + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2467664 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f**2 - 2*f**2 - 2*f**2)*(-248 + 248 + 7*f**2) as m*f**4 + l*f + t*f**3 + z + d*f**2 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*4\/(-1)*-1. Suppose o*f - 2*f - 12 = 0. Let b be -2 + 1\/(1\/6). Solve -b*i = f - 26 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-1)*y**(-10)\/y)**(1\/8)*(y*y\/(y**(2\/17)*y)*y\/y**1)\/(y**5*y**0) assuming y is positive.\nAnswer: y**(-365\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23035723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 424\/(-265) - ((-112)\/20 + 2). Sort -209, s, 0, -4 in decreasing order.\nAnswer: s, 0, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((-15)\/6)*20\/28. What is the third smallest value in j, -3, 3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1256\/42 + 26\/273. Suppose 5*t = s*t - 1175. Calculate the highest common divisor of t and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12, -29, -50, -75, -104, -137?\n\"Answer: -2*b**2 - 11*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l - 9. Let u be a(-6). Let y be u*(-2)\/(-6)*-48. Suppose 0 = 4*x - y. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -108*d**5 - 13 + 13 + (2 - 5 + 1)*(2*d**5 - 3*d**5 - d**5) - 3*d**5 - 2*d**3 + 2*d**3.\nAnswer: -107*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 73*j**2*r**2*x - 28*j**2*r*x + j**2 - 13*j*r**2*x - 7*j*r**2 - j*r - 7*r**2 + 5*x wrt j?\nAnswer: 146*r**2*x - 56*r*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 688 and 515699.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - 3 - (99 - 108) - 19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(1008) + 0 + 1)*6)**2 + -4 + (((sqrt(175) - (sqrt(175) - sqrt(175)*-1)) + sqrt(175))**2 + -3)*-6.\nAnswer: -108958 - 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -v**4\/6 - 50*v**3\/3 - v + 90. Determine f so that x(f) = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 + -38. Suppose -3*s - 2*c = -24, x = -0*c - 5*c. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f + 23 + 33 + 15*f - 56.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4*s + 28 = 0, -2*s + 6 + 4 = 0. Let m(v) = -4*v - 3 + p*v + 1. List the prime factors of m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -24247, -38447, -52647?\n\"Answer: -14200*g - 10047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 7*f**3 + 2*f**2 + f. Let h be c(-1). What is the units digit of (0 - -1)\/((-3)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 divided by 122649.\nAnswer: -10\/40883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 282\/(-188)*(-3540)\/(-90).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5529*r**2 + 5546*r**2 + 9*r**3 + 5545*r**2 - 6*r**3 - r**3 - 16620*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*t + 1183448 + 298642 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9871 = -b + 5*o, -6*o - 49235 = -5*b - 11*o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -13*b. Let g(x) = 15*x**2. What is g(z(p))?\nAnswer: 2535*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 465800 is divided by 465692.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/2361 and (3534\/72)\/(-19) + 72\/(-32).\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**2 + 936*j - 21578. What is c(22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9272042261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17238117 to the power of 1\/2, to the nearest integer?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 690\/(6\/2) + (-11 - -17). Calculate the highest common divisor of a and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -28922, -57783, -86560, -115211, -143694, -171967, -199988?\n\"Answer: 7*m**3 - 28910*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 265, 1037, 2427, 4537, 7469, 11325, 16207, 22217?\n\"Answer: 17*f**3 + 207*f**2 + 32*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 18703430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1700) - sqrt(17))**2 - (sqrt(17) - (-2*sqrt(204))\/sqrt(12))**2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1953 divide 15920856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12 + 8)\/(2\/(-299)) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 1 + 5. Solve 2*w = -w + q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 25252 = 2*s + 1632, -5*v - 3*s = -29527. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -860607 divided by -860607\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3120 = 171*q + 69*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20 + 42*y + 36*y - 134*y + 42*y to b*y + q and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 272*k**2 + 852*k.\nAnswer: -4*k*(k - 3)*(k + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a - 10. Let v(i) = 3*i - 9. Let h be ((-36)\/45)\/(22\/165). Give h*v(g) + 5*z(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -658 - -1134. Suppose -12*z = -h - 256. Let l = z + -26. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6 + -9)*(-1)\/3. Let j = 1.5 - -0.5. Let s be ((-3)\/2)\/(1 + 2). Which is the nearest to s?  (a) x  (b) 3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, a: 6, l: 3, h: 4}. Give prob of sequence vha.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37231*u + 0 + 0 - 33886*u to w + k*u and give k.\nAnswer: 3345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.98835 rounded to 0 decimal places?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2\/9 - 28696*d\/9 + 38272\/3 = 0.\nAnswer: -14352, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/49, -5, 6, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -471\nAnswer: 1\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/8)\/((-3)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*a - 185 + 85*a + 758 - 51*a - 2*a**3 to the form y*a**3 + q*a**2 + b*a + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -11. Calculate the highest common divisor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2375.046 + -2379. Let g = -0.046 + x. Sort g, -5, -3\/2, -1\/2 in ascending order.\nAnswer: -5, g, -3\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - d**2 + 7*d - 4. List the prime factors of q(-9).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.01691 + -0.48309. What is the closest to 5\/7 in -0.3, -7, -3\/7, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (730\/(-50) + 8)*(-3 + -2) and 17?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/2 + 110*u**2.\nAnswer: -u**2*(u - 220)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15946704\/31 or -514410?\nAnswer: -15946704\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 26834 = -2*t, 54*s = 53*s + 3*t + 13413. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6 + 1)*(-1 - 49*w + 49*w + 2*w**3).\nAnswer: 20*w**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6*(6\/(-5))\/((-12)\/(-30)). Let c be x\/99 - (-74)\/198. Factor 1\/3 + c*m**2 - 7\/9*m - 1\/9*m**3.\nAnswer: -(m - 3)*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 5*r + 1. Let k = 40 - 47. Calculate l(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*y - 36*y + 254 + 171. Solve l = 1, 16*l = -2*z + y*l + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9620 + -1710. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*m - 576 = -5*d, 757 = 4*m + 3*d. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.6, 0.3, 4\/7, -0.9 in decreasing order.\nAnswer: 4\/7, 0.3, 0, -0.6, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9*2\/(-21))\/((-6)\/(-56)). Is 2*47*(r - 121\/22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22738385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*a**2 - 602*a**2 - 198*a**2 + (a - a - 2*a)*(-5*a + 0*a + 0*a).\nAnswer: -758*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*i**2 - 11*i**2 + 2*i**2 - 10*i**2 - 4*i as h*i + b + r*i**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9658, -19449, -29240, -39031, -48822, -58613?\n\"Answer: -9791*t + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26626 + -16899. What is the greatest common divisor of u and 411?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 138860 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*n + 113 - 61. Let k(y) = 2*y**2 + 7*y - 2. Let q(j) = 3*j**2 + 13*j - 4. Determine n*q(o) - 7*k(o).\nAnswer: -2*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26\/131 or -1?\nAnswer: 26\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10890956 divided by -5445478?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - 0 - (-78)\/(-82). Let j = -16.52 + 11.52. Put -0.2, j, v in descending order.\nAnswer: v, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6272, 6275, 6266, 6239, 6188?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -b**5\/12 + b**4\/4 + 2*b**3\/3 - 12*b**2. Let m(a) = -4*a**2 + 5*a + 3. What is -6*m(t) + 5*x(t)?\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -90093 (base 10) in base 14?\nAnswer: -24b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-20)*d\/d**(2\/45))\/(d**(-4)*(d**(7\/5)\/d)\/d) assuming d is positive.\nAnswer: d**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29743 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/5 + 792*g**2\/5 + 78408*g\/5.\nAnswer: 2*g*(g + 198)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 443711.\nAnswer: 443711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16 times 0.79?\nAnswer: -0.1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b*b**37)\/b)\/b)\/b)**(-1\/17)\/(b**(-9\/5)*b*b**(-9\/5)))**(-46) assuming b is positive.\nAnswer: b**(-2116\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 215 = 227. Let w(d) = -d - 9. Suppose -5*n = h + 44, 4*n - 5*h = -n - 20. Let v be w(n). Put 0.05, v, y in ascending order.\nAnswer: y, v, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 5396, -5, 142 in ascending order.\nAnswer: -5, -2, 4, 142, 5396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 7*n + 4. Let v be u(-10). Let y be (-4)\/(-20) + v\/320. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -5, c = 4*c + 2*x - 2227. Let p = c + 450. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 83 + 48 + 18 + t + 6*t**2 + 17. Determine h(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 21 - 31. Let s = -15 - p. Let u(t) = -19*t - 3. Does 8 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 5*v**7\/42 - 26*v**6\/15 + 391*v**4\/6 + 4*v. Find the third derivative of o(k) wrt k.\nAnswer: 300*k**2 - 1248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 605291995?\nAnswer: 5, 7, 11, 1572187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*a + 2)*(-7*a**2 + a**3 - 5*a**3 + 3*a**2).\nAnswer: 8*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 29*r + 40 - 40 - 12 + 470. What is the units digit of u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 16*y**2 - 3341*y - 2712. Determine j(211).\nAnswer: 4673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*o = -3*d + 79*o - 9, 2*d + 5*o + 28 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (17 + (-1125)\/66)\/(4\/(-22)). Find x, given that -4 - 9\/4*x**2 - c*x**3 - 6*x = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 924 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c = 5*a + 39, 4*c - 46 = -2*a. What is the greatest common factor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -81*c**2 - 51. Let v(g) = -8*g**2 + 6*g - 7. Let w be v(1). Let t(d) = d**2 + 2. Let k(a) = w*t(a) - q(a). Differentiate k(r) with respect to r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -78 + 36. Let z = g - -44. Solve -2*a - t - 26 = 4*t, 0 = 2*a + z*t + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 - (21 + (-15 - -11 - -5) + -12)) + 24\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12202711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 1\/5, -1746?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - -1) + (-31 - ((18 - 14) + -31)) + -49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g**2 + 95*g - 3. What is t(19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3065 or 3066?\nAnswer: 3066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20166389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -558.5112 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3c9a7 (base 13) in base 16?\nAnswer: -1bc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/19 not equal to -1831.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3 - 5 = 0. Let j be (3 - 5)\/w + 0. Let g(y) = -y**2 - 1. Let d(z) be the first derivative of 2*z**3 + 5*z + 2. What is j*d(q) - 5*g(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-10)*x**18 assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 934*p**3 - 451*p**3 - 493*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 5*u**2 + u + 7. Let y(k) = -k - 3. Let f be y(3). What is the units digit of p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of 1\/45*l**5 + 0 + 0*l**3 - 1\/63*l**7 + 0*l + 1\/60*l**6 + 0*l**4 + l**2. Determine b so that q(b) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -531, -1064, -1677, -2376, -3167, -4056?\nAnswer: -5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -225524*2.\nAnswer: -451048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -14481374.\nAnswer: 5\/14481374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1894 * -13.9.\nAnswer: -26326.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.418213t?\nAnswer: 418213000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150147 is divided by 150017.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2042 = -2*o + 26*k - 30*k, -5*k = 2*o - 2044. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of 9\/2*d**2 - 6*d - 7\/12*d**4 - 7\/6*d**3 + 1\/20*d**5 + 0. What is the units digit of x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -329 in -0.4, 0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*a + 3*o, -o = 2*a + 3 - 12. Factor -1\/4 - 1\/4*d**4 + 0*d**a + 0*d + 1\/2*d**2.\nAnswer: -(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501*(-8 + (5 - (-133)\/21)) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -305 - -388?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -6. Suppose 4 = 22*m - 84. Solve m*j = -5*d + 25, s*d - 2 + 14 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4330?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**2 - 197 + 839 - 379 to the form j*i + k + p*i**2 and give k.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) -1594  (c) -3  (d) 4  (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 189, 5, 3, 10 in descending order.\nAnswer: 189, 10, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 3420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416*d + 16 = -415*d - 4*z, d - 5*z = 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l*l*l*l\/(l**(-2\/9)*l)*l*l))**(1\/30)\/(l**(4\/13)*l\/(l\/l**(-22))))**24 assuming l is positive.\nAnswer: l**(303052\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3293 divided by -144362\nAnswer: 3293\/144362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -11265\/12676 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 134523307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*a - 13*a - 6*a + a + 0*a + 2 to z*a + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**7*s\/((s*s**(-4))\/s*s)*s)\/(s*s**(-2\/11)*s*s\/s**7) assuming s is positive.\nAnswer: s**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 80?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 368590 * 21\nAnswer: 7740390","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -218*b - 1. Let h be p(-1). Let k = h - 92. Suppose 0 = 5*c + 2*v - k, -4*c + 0*c + 82 = -2*v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 930000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 246 = -5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7520*l + 7640*l + 3240 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h**2 - h**3 + 0*h**3 - h**2 + (8 - 8 - 6*h**2)*(-3*h - 5*h + 2*h) as l*h**2 + b + s*h + j*h**3 and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1011942 and 4182.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -3 - 9\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 2. Let g(j) = 3*j**2 - 75*j + 199. Let x be g(22). What is the highest common factor of x and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-15) - 360\/48 - (6 + -12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pyszs. What is prob of picking 1 s, 1 p, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 7:53 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.4 - 0.9. Let r(t) be the first derivative of 3*t**4\/4 - 2*t**3\/3 + t**2 - t - 10. Let o be r(1). Sort o, 0, 0.2, d in descending order.\nAnswer: o, d, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 - ((3 - 52) + 37).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, -155, -609, -1483, -2915?\nAnswer: -5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u + 5. Let f(c) = -2*c + 7. Let i be (-1)\/(1 - 2) - 6. Let p(r) = i*f(r) + 8*v(r). Is 7 a factor of p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 9:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*r - 28*r = -z - 2589, 2*r = -3*z + 5203. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -100*v**2 - 16*v**2 + 489*v**2 - 4*v + 4*v to the form l + i*v**2 + b*v and give i.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 2\/13  (c) 0.5  (d) -4  (e) -519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235510 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13326.\nAnswer: 2, 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -2*q + 20. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*w = -29, -11*c + 3*w - 71 = -15*c. Solve -4*g + 5 = 4*n - 19, -3*g - c = -5*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**5\/r)*r**(-8\/9)*r**(3\/2)*r**(2\/57))**(-36) assuming r is positive.\nAnswer: r**(1610\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/10 - (-1786)\/380. Which is the closest to 1?  (a) v  (b) -2\/11  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -501 divided by 127?\nAnswer: -501\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.203717401 + -0.029?\nAnswer: 0.174717401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 556097807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -122000220 (base 3) in base 10?\nAnswer: -12417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 3*a + 144 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r**2 + 6*r - 1. Let i(t) = t**2. Let f be (-748)\/(-132) + 2\/6. What is f*i(h) + p(h)?\nAnswer: 2*h**2 + 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -53318, -53308, -53298, -53288, -53278, -53268?\n\"Answer: 10*x - 53328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(133)\/(sqrt(7) + sqrt(28) - sqrt(7)) + -2)*6 + -1)**2.\nAnswer: -258*sqrt(19) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -67 - -64. What is the nearest to 0.8 in 0.2, 0.1, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-29)\/(-145))\/(-1*2\/50)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -57*o. Let f(b) = -3*b. Let i(s) = 63*f(s) - 3*w(s). Let a(c) = 2*c**2. Give i(a(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -6*z. Let b(x) = 5*x - 1. Let m(u) = -4*b(u) - 3*f(u). What is the remainder when 2 is divided by m(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*r + 33*r - 3 - 27*r)*(-18 + 57 + 25).\nAnswer: 1472*r - 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -63aa (base 12) in base 11?\nAnswer: -8237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118941 divided by 3.\nAnswer: 39647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126, 1287, 4628, 11289, 22410, 39131, 62592, 93933?\nAnswer: 134294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**5\/3 - 14*w**4 - 179*w**3 - 1676*w**2\/3 + 1712*w - 960 = 0.\nAnswer: -20, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 480 = 5*t - 5*r, -2*r + 99 = 3*t - 184. What is the remainder when t is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31260701081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 17*w + 15. Let n(i) = 8*i + 7. Give 4*m(t) - 9*n(t).\nAnswer: -4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2247, -3, 32.\nAnswer: -2247, -3, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6688467 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d + 2*d + 4*d)*(d - 8*d + 3*d)*(3 + 1 - 3).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 5*i + 3. Let b(o) = 2*o**2 - 10*o - 7. Let p(j) = -4*b(j) - 7*u(j). Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 711 = 5*o + 791, -3*y - 3*o + 4434 = 0. Suppose -2244 = -6*c + y. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/((-2 + -1)\/(-3)). Suppose a = -35 + 74. Suppose -a*y + 38*y + 3 = r. Solve -y*c + 8 = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5821, -11638, -17455, -23272, -29089, -34906?\n\"Answer: -5817*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/8 - 2)\/(2\/80). Let k = 142 + a. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(3\/((-3)\/(-2))). Suppose 5*w + 11 = c*j, 0*w + 4*w + 16 = 4*j. Let p be (0 - -2) + (1 - j). Solve 0*l - l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 12*x**3 - 9*x**2 + 5*x - 9. Let q(w) = -3*w**3 + 2*w**2 - w + 2. Let d(i) = -2*m(i) - 9*q(i). Is 22 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 556*z + 18444. Give a(-34).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-20)\/560*40)\/((-2)\/126). Solve 4*j + 2*f + 10 = 0, -5*j + 92*f - 17 = q*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {h: 2, f: 1, d: 2, t: 1, q: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 131149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 304.9 + -305. What is the nearest to m in -3, -26, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwpwwpwmwmmwpmpwpg. What is prob of picking 1 w and 1 m?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7702742?\nAnswer: 2, 3851371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - -15) + -10 - 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 10) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -78. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 478749, 478753, 478757, 478761?\n\"Answer: 4*p + 478745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/2 + -2*(-5)\/20. Solve -4*d + 2*v - 16 = s, -4*d + 4*v - 9 = 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*p + p - 3*p)*(-141 + 33 - 68)*(0 + 2 + 3) + (-2*p - 1 + 1)*(2 - 4 + 0) - 3*p + p + 0*p - p + 4*p + 3*p as g + r*p and give r.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 146 - 143. Factor 28*a**2 - a**3 - 38*a**2 + w*a**3.\nAnswer: 2*a**2*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10)\/(-4))\/(1\/8). Let w = b - 6. Is 8 a factor of (-309)\/(-21) + 4\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 123\/1520 and 37\/640?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 + 28 = 3*p + 4*c + 10 + 15, 2*p = -2*c - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 8*s**2 + 0*s - 3 - s**3 + 2*s - 2*s**2. Let f = -534 - -540. Is v(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11111110001 (base 2) in base 3?\nAnswer: -2210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -86*p + 21*p + 520 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -927 + 870. Let w(v) = 7*v**3 - v**2 - v + 1. Let p be w(-2). Is p smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2879\/59965 + -3\/11993. What is the common denominator of 39\/737 and j?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g + 132 = -8*g. Which is the nearest to 1?  (a) -0.2  (b) -0.3  (c) g  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1172\/5?  (a) 1\/3  (b) 0.1  (c) -1\/3  (d) 3  (e) 0  (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -14*c - 2*c + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-12)*(1 - (-3 + 4)). What is the second biggest value in 1.6, y, -2\/11, 4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710546 is divided by 2274?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((3*sqrt(315))\/sqrt(5))\/sqrt(9))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 3*z + 3. Let h be v(3). Suppose -h*m - 3*u + 99 = u, 4*m + 2*u = 122. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.35042 and 5.\nAnswer: 5.35042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/1 - -1 - (-16 + 2). Suppose -3*g + 4*r = 1, 4*r - l = g - 13. Is 0.074 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6558 (base 9) to base 11.\nAnswer: 36a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from bzpkkbbb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -5.2, 231, -0.547 in increasing order.\nAnswer: -5.2, -0.547, 2\/7, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 369*d = -367*d + 24, -2*c - 7*d = -c + 108 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11887664639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by 14.\nAnswer: -31\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06409790729 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.563578 milligrams to micrograms.\nAnswer: 6563.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.70654kg in grams?\nAnswer: 17706.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168928997?\nAnswer: 23, 7344739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 + 2 - 1 + 15*p to the form g + a*p and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 12, m: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 85\/693 - -2\/99. Let s = 58 + -33. Let g be (2\/5)\/(10\/s). Is r at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g**2 - 2*g**2 + 3*g**2)*(-6 + 2 + 1)*(0 + 0 + 3) as b*g + k + h*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + o. Let n be i(-2). Suppose 5*m = 5*z - 31999995, -n*z - 12800002 = -2*m + 4*m. What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 63252189113 and 0.4?\nAnswer: 63252189112.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*2*(1*sqrt(104))\/sqrt(8)*3.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-6))\/(2\/(-30)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -283, -2242, -7553, -17890, -34927?\n\"Answer: -279*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j + j**2 - 12*j**2 - 8*j**3 + 11*j**2 - 4*j.\nAnswer: -8*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 12.53538568 and 506.\nAnswer: 518.53538568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -12, -103, -192, -279, -364?\n\"Answer: z**2 - 94*z + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 41507975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 + 7 + 0)*(13 - 5 + 67*a**2 - 8 - 281*a**2) to t*a**2 + q + u*a and give t.\nAnswer: 2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10587.8 - 10588. What is the closest to 2\/7 in 0.06, z, -3\/145?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/25, 4, -2\/7, 26, -23 in increasing order.\nAnswer: -23, -2\/7, 4\/25, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98, -381, -854, -1517?\nAnswer: -2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.2?  (a) 4  (b) 99  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -72*p**3 - p**2 - 96?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -187.374 + 0.374. Let s = 271 + a. Let l = s + -84.000151. What is l rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -3. Let v = 4 + m. Let r = 9 - 1. What is the greatest common factor of v and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and (-2170)\/(-30) - 1\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -86328, -86332, -86338, -86346, -86356?\nAnswer: -86368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -3. Let n(s) = -18*s**2 - 8*s + 3. Let c(g) = -12*g**2 - 5*g + 2. Let b(x) = w*n(x) - 8*c(x). What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1\/8, 0.5, -2, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*t - 420 = 0. Suppose 11*z - 15*z - t = 0. Is 3454\/14 + (-10)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21204660 + -11?\nAnswer: -21205001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 7, -4 in ascending order.\nAnswer: -4, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -2. Let o be 0 + 7\/((-28)\/(-8)). Solve s = 2*n - o, 0 = g*s - s - n + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - g - 5)*(251*g**3 - 251*g**3 + 154*g**4).\nAnswer: -154*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y. Let n(h) = -h - 10246. Calculate s(n(r)).\nAnswer: -3*r - 30738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -85*a**2. Let z(t) = -t**2. Calculate -q(r) + 102*z(r).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 268714 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 + (19 - (3 + 48)) + 18?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/15 + 6\/(3 - 5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3567?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(4\/7))**(2\/69)*l**13*l**5)**(1\/5) assuming l is positive.\nAnswer: l**(8702\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4947421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -122.39271 + 0.38671. Let s = r - -122. Is -0.1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-28))\/(924\/(-1617))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2 - 8571*s - 533994.\nAnswer: 3*(s - 2918)*(s + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2470, 2037, 1558, 1033, 462, -155?\n\"Answer: -23*q**2 - 364*q + 2857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8\/3, -159\/4, -6\/7?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**5 - 2*z**4 + 5*z**2 - z. Let j = -12 + 6. Suppose 1 = -v - 1. Let k(d) = d**5 - d**2. Let g(o) = j*k(o) + v*r(o). Factor g(q).\nAnswer: -2*q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 252363 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0030710039 to 6 dps.\nAnswer: 0.003071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163 = -10*f + 9*f. Let p = 231 + f. What is the greatest common factor of 102 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 42 = 15. Let a(k) = -k**3 + 2*k**2 - k + 3. What is a(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eyeeemexvegmyge. What is prob of picking 1 m and 2 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -442964*k**2 - 6805427 wrt k?\nAnswer: -885928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3. Let u(y) = 2*y**3. Let s = -16 - -21. Calculate s*u(o) + 8*a(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 a factor of 2514691340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 108 = -51*z + 46*z, 169 = 3*a - 4*z. Calculate the remainder when 93 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164341*j - 4*k = 164341*j + 12, 2*k + 161 = -31*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -17 and 0.6?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 2*l - 10. Let v be i(-3). Let s be (1 - 2)*(2 - 3 - 11). Solve 0 = 3*o - s, v*x + 3*o = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18078069 is divided by 980.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5540858.1ms in hours?\nAnswer: 1.53912725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 - (3 - 4))\/(2\/(31486\/(-21))). What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -917, -1834, -2751, -3668, -4585?\n\"Answer: -917*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w - 8. Let b(q) = -q**2 - 5*q + 7. Let y be b(-5). Let i be x(y). Let c = i + 25. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - a + a)*((-a + 5*a - 3*a)*(-2 + 2 - 1) + 0*a + 2*a + 0*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c - 34 = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from mfxggmgfx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 885150*l. Let c(q) = -2*q**2. What is c(w(o))?\nAnswer: -1566981045000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1024300999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1008)\/(-21)*((-28)\/189)\/((-6)\/(-27)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 3.5.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*t + 86533 + 29295 + 105064 = 0. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-nine fifths of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 47*x**2 + 125*x**2 - 28*x**2. Let d(c) = -45*c**2. What is y(d(n))?\nAnswer: 289575*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/4))**(-1\/28)\/(r**(-1)*r*r*r**2*r*r*r*r)*r**(1\/4)\/r**(-3\/4)*(r\/(r**(2\/5)\/r))\/(r*r**(-3\/7)*r) assuming r is positive.\nAnswer: r**(-477\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9065 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 1413407955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/((2*sqrt(20))\/sqrt(2))*-6 + ((sqrt(22)\/sqrt(2)*4 - sqrt(11)) + sqrt(11) - ((-1*sqrt(99))\/sqrt(9) + sqrt(11))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 3*10\/195 - (-1493)\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5908.8*-3.\nAnswer: 17726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -3*u - t + 12, -3*u = 2*t - 12. Let n(p) = -4 - u*p + 4. Let k(c) = c**2. Calculate n(k(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeooooeooooooeoooooe. What is prob of picking 3 o?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 5:31 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 1  (c) 3\/7  (d) -1\/4  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1337 + -668. Suppose -3*a + k = 2*p - 1085, -5*p - a + 4398 = 0. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 48781*(-3)\/6*2. Let o = -11170801\/229 - f. Let j = 19657\/916 - o. Find the common denominator of 23\/6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/2)*j*j\/j**(5\/2))**39\/(j**(-3)*(j\/((j**5\/j*j)\/j))\/j)**21 assuming j is positive.\nAnswer: j**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 5  (b) -4  (c) -3  (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 316, 641, 990, 1369, 1784?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75979, -76023, -76067, -76111, -76155, -76199?\nAnswer: -76243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 9*u + 17. Suppose -3*t - 18 = -36. Let a be d(t). Is -122*(22\/4)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 78 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4 = 0, -7 + 22 = 3*k - 3*v. Let g be -2*((-10)\/4 + 1). Suppose -199 = -k*i - i - t, -168 = -g*i + 3*t. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508613293 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 3. Let a be ((-7)\/14)\/(1 - (-26)\/(-24)). Let h(c) = 3*c**2 + 9. Calculate a*h(j) + 17*r(j).\nAnswer: j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 9 + 1)*(-35*q + 94*q + 128*q).\nAnswer: 1122*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 o when four letters picked without replacement from {o: 2, f: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 105349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101090, 202241, 303386, 404519, 505634, 606725, 707786, 808811?\nAnswer: 909794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1363 + 1365. Let z be ((-6)\/5)\/(6\/(-40)). Solve -4*b = -2*j, h*j - z = 2*b - j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/847)\/((-18)\/42)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m = 3*z - 7*m - 12, -4*m - 3 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -2  (b) 705  (c) 0.3  (d) -1\/4  (e) -0.13  (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -22320 >= -22317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 289 + 109. Suppose -7*c + 3*c + z = 0. What is the greatest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from {u: 4, y: 2, c: 6}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 456716 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -16*p + 16. Let m(n) = -n - 2. What is i(o) + 10*m(o)?\nAnswer: -26*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*q + 999 + 611. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - j + 2*g - 1 = 0, j - 4*g + 23 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*w + 26*w**2 + 19*w**2 - 68*w**2.\nAnswer: -23*w**2 - 52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**2 - 92*d + 346. Calculate r(19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 104*l**2 - 5*l + 7. Suppose 0 = x, -2*v - 2*x = -0*v - 4. Is k(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4330809 - 4?\nAnswer: -4330813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - (-3 - 17)\/4. Suppose -13 = -t*m + b, -3*m = -b - 10 + 3. Suppose m*v - 4*k + 4804 = 6*v, 2 = 2*k. Round v to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, w: 5}. What is prob of picking 4 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 3*l**2 - 10*l + 4. Let u be v(5). Solve -2*b = -0*b + 3*x + 2, 4*b - 2*x + u = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.054 and -0.3.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3\/7 - -13\/14. Let k(c) be the second derivative of -c + 0 + o*c**3 - 1\/12*c**4 - c**2. Factor k(w).\nAnswer: -(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39476525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -26*y**2 - 3*y - 5. Let q be h(-7). Let i = -785 - q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2448) + sqrt(2448) + sqrt(2448)*-1 + sqrt(2448) + sqrt(2448) + 5 + sqrt(2448)) - (6*2*sqrt(2448) - -6*(sqrt(2448) - (1 + sqrt(2448)))))**2.\nAnswer: 5952*sqrt(17) + 157633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 252306 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2*-0.09\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2. Let n(j) = -90*j**2. Give k(n(b)).\nAnswer: -24300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*1 + 27\/3. Let w = a - 4. Solve f = -5 + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((78\/(-12))\/(-13))\/(1\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 37644.71cm?\nAnswer: 376.4471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3 = -7. Let x(y) = -y. Let g be x(h). Factor -4\/5 + 2\/5*a**g + 2\/5*a.\nAnswer: 2*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28249951?\nAnswer: 3313, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -765479, -1530960, -2296441, -3061922?\nAnswer: -3827403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1649 divided by 17\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*k + 4. Let r(s) = -s**3 - 9*s**2 - 9*s + 2. Let j be r(k). Does 6 divide 5*(0 - (-36)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-2)*-4 - (-8484)\/2020?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, r: 12, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4654991.124 rounded to the nearest 1000?\nAnswer: -4655000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/3))**35\/(t**(-2\/9)*t\/(t**(-2\/7)\/t)) assuming t is positive.\nAnswer: t**(-1600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + sqrt(288)*-3)**2 + -2.\nAnswer: -72*sqrt(2) + 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/5310 and 133\/10620?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -13195, -13613, -14311, -15289, -16547, -18085, -19903?\n\"Answer: -140*k**2 + 2*k - 13057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 4*x - 2. Let z be h(6). Let r be (-3 - (-6)\/2)\/z. Solve -f - 2 + 1 = r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -240*a*u + 205301864*a + 85854*u wrt u?\nAnswer: -240*a + 85854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sosqqqooqqxs. What is prob of picking 1 q and 3 o?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 7*n**2 + 10*n + 3. Does 7 divide h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*l = -h - 7, 4*h + 2*l = -12. Let a be 1 - h\/((-5)\/(-4)). Suppose 2 = 5*u - 8. Solve u*f - 22 = -5*p + p, a*f = -4*p + 31 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76 - 3192*b - 31*b**2 + 3192*b + 33*b**2.\nAnswer: 2*b**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -5*p - 14, 2*p + 0*p + 5*h = -24. Sort p, -0.1, -0.5 in descending order.\nAnswer: -0.1, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8561 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 948 is divided by 120?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 0 - 3*f + 2 - 4. Let c = 12 + -18. Does 16 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3 - 5 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 102  (b) -1\/4  (c) -5  (d) 13255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.559*3708\nAnswer: -2072.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47.2 + -47. Let l be ((-2)\/26 - 0)\/(1\/(-8)). Let u = 66\/65 - l. What is the closest to u in 0.05, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -37*d - 1. Let j be i(2). Let q = 74 + j. Sort -3, q, 5, 4 in descending order.\nAnswer: 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5 - 1)*(-408 - -8). What is x rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27 or -40.878?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1231 (base 5) to base 13\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 11. Let z be b(-10). Let x be 5 - (z - 0)*3. Find w such that -45*w**4 + 8*w + 3*w**2 - 50*w**5 + 42*w**3 + 5*w**4 + 37*w**x = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -160*h**3 + 65*h - 65. Let b(a) = 5*a**3 - 2*a + 2. Calculate 195*b(c) + 6*u(c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 13*c**2 + 29*c + 12. Let r(s) = -3*s**2 - 7*s - 3. Let m(u) = -2*o(u) - 9*r(u). Let i = -4 + 0. Calculate m(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 315\/(-48) + 6 + (11 - (37\/2 + -8))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1015 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 149065650 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/25 and -73\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98135 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183299 is divided by 59455.\nAnswer: 4934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*b**5\/4 + 82051*b**4\/4 - 56907*b**3 - 505752*b**2 - 683536*b - 127596 = 0. Calculate b.\nAnswer: -2, -2\/9, 7, 9114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 69 + -53 - (4 - -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.30139 + -0.358421. Let t = -0.057 - k. Round t to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -61470 or -61469?\nAnswer: -61470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 4010*r. Let v be b(-1). Let x be v\/(-50) + 2\/(-10). Suppose 0 = -0*f + 5*f - x. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aolarxlralazlo. What is prob of sequence zaa?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 705*n - 1351*n + 234 = -724*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-627)\/132 - (-6 + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (172\/12)\/((-1)\/(-2 + -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 0)\/(3 + -4). Suppose 5*f - 35 = 5*i, -h = 9*f - 8*f - 3*i. Let q(v) = 8*v**2 - 5*v + 16. Is q(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 7*w - 16*w - 2 + 9*w - 1.\nAnswer: -14*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -26142100 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3 = 22. Suppose 0 = b + 5, -y*i + b = -3*b - 1035. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 16*x + 2. Give a(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 110842961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 4*m. Let o(q) = 2*q. Let w(x) = -4*h(x) + 9*o(x). Let k(r) = -87*r - 80*r + 262*r - 90*r. Give w(k(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3558.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.690274735 rounded to four dps?\nAnswer: 0.6903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15542 - -15545. Let j(x) be the first derivative of -2\/11*x**2 - 12 + 0*x - 2\/33*x**f. Let j(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-2*3*sqrt(500))**2*-3 + -2).\nAnswer: -324012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/3 - 290*y - 402633.\nAnswer: (y - 1617)*(y + 747)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*z + z**2 + 25*z + 14*z as l*z**2 + v + x*z and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*a = -150*a + 4262 - 27212 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c\/(c*c*(c\/(c*c**6*c)*c)\/c*c))\/c)*c*c*((c\/c**7)\/c*c)\/c*c*c assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-315)*-42 - 21) + 0\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -542658 divided by -180886.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kxzk when four letters picked without replacement from {k: 3, z: 6, x: 6, s: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 3*k - 5*k)*(-3 + 1 + 3 + (0 - 5 + 6)*(3 - 2 - 2) + 0 - 1 + 3 - 2 + 6 - 2 - 158 - 35 + 33)*(2 + 2*k**2 - 2).\nAnswer: -312*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -7705*b**2\/2 + 12*b - 66. Is i(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 600 = 2*b, 10 = -6*b + 8*b. What is the remainder when q is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2760 and 7208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from coocccocccccoc. Give prob of picking 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -168434\/31 + 5434. Let b = -21\/1576 + 84505\/14184. Calculate the common denominator of b and g.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, 3, -1, 16, -46 in decreasing order.\nAnswer: 61, 16, 3, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -191*y**4 + 2*y**3 + 75*y**2 + 2433*y wrt y?\nAnswer: -2292*y**2 + 12*y + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -326 = -2*h + 8*r - 3*r, 5*h + 5*r = 745. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/3)*y)\/((y*y\/(y\/(y**(-8)\/y))*y)\/y)*y**(2\/9)\/(y\/(y*y*y*(y\/(y**5\/y*y))\/y)))\/(y*y*y*y*y\/y**10*y*y\/y**2*y)**(2\/11) assuming y is positive.\nAnswer: y**(655\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*d + 295*d + 4046 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 - 22*m + 8. Let j be g(-11). Suppose -3*d + 2*p + 34 = -d, 4*p = -j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**3 + 5*l**3 - 5*l**3 + l - 2 + (2*l - 2*l + 2*l**2)*(5*l - 8*l - 4*l) to u*l**2 + o*l + j + i*l**3 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**3*s + 494*b**3 + 3322*s with respect to s.\nAnswer: b**3 + 3322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v + 5. Let o = -6 - -1. Let w be g(o). Let p(z) = z**3 - 11*z**2 + 10*z. Let l be p(w). Sort 2, l, 5 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 96 = 6*w. Let t be w + -44 + 2\/(2\/(-3)). Suppose 3*d + 6 = -5*v - 6, 5*d - 4*v = 17. Calculate the highest common divisor of d and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20605952 + 55044261?\nAnswer: 34438309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 0. Let v = 9 - y. Is -8 + 5 - (v + -29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -0.807?\nAnswer: 5.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35741175?\nAnswer: 3, 5, 229, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.888 and 73?\nAnswer: 73.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from dddwwdddddddwdd?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21)\/(-5) - 48\/(-60). Solve r*c + 27 = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -1, 3, -8, -4 in decreasing order.\nAnswer: 14, 3, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -6*s + 69. Solve -s*x - 10 - 25 = 2*l, -l = x + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, t: 1, u: 1, q: 1, f: 1}. What is prob of picking 1 q, 1 t, 1 u, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10230 - 11344?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24.29 - -25.29. Which is the nearest to u?  (a) -3  (b) 0.3  (c) 48  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 139, 17\/9, 23, 1\/4, -0.1 in descending order.\nAnswer: 139, 23, 17\/9, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, d: 3, f: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 9*r**2 + 4*r - 30. Let b be v(9). Suppose -2*n = -4*f - f + 591, 3*n = b. Which is greater: f or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x - 7. Determine b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -611*i + 2. Let m(t) = t. Determine c(m(a)).\nAnswer: -611*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-38 - 0)\/(-2) + (-2)\/(-2). Calculate the highest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-8)\/q*q**11*(q\/q**4)\/q**(-1\/4) assuming q is positive.\nAnswer: q**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0469 from -345.526563.\nAnswer: -345.573463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -0*k + 3*k + 834, k = 2. Let i(o) = o**3 - 8*o**2 - 57*o - 15. Let f be i(-4). What is the highest common divisor of f and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -9*v - 15. Calculate t(-10).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1787186 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -66 + -4230?\nAnswer: -4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 60948 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 303*i + 2*a + 737 = 145, 464*i + 2*a - 18 = 466*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 7. Suppose 13 = s*z - 11. Solve -30 = 5*y - 5*o, z*y - 3*y = 2*o - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, -138, -402, -762, -1212, -1746?\nAnswer: -2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28583515729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1779, 0, 2, -14.\nAnswer: -14, -1, 0, 2, 1779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(1\/(-4)*1). Suppose -2957 = -2*h + 3*f, -5904 = -q*h + 2*f - 6*f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 591.8745 decades to centuries.\nAnswer: 59.18745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8.8  (b) -1.8  (c) 377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12884.\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 - 85*y**2 - 400*y - 420.\nAnswer: 5*(y - 21)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -2, -0.24, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*a + 36 = -144. Solve -2*f - 16 + 10 = -d, -a*f + 4*d = 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**45)**(-1\/35) assuming s is positive.\nAnswer: s**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 623 is divided by 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 34*g + 20. Suppose 4*w + 16 = 4*b - 8*b, -2*b + 3*w = 28. Let x be s(b). Solve -2 + 7 = -x*y - 5*n, 0 = 2*y + 2*n + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.3 - -5. Let x be (-15 + 18)*-3 + 107\/12. Sort 0.1, x, v, 1 in increasing order.\nAnswer: v, x, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**4 - 3*k + 3*k - k**4 + k**4 - 2*k**4 + (-2*k**2 + k**3 + 2*k**2)*(-3 + 3 - k) + 3 + k**4 - 3.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.06  (b) 163  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 7*i + 30. Let r be m(-4). Suppose 0 = -2*n - 2*a + 7*a + 535, -r*n - 4*a = -508. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3909 + 24*g**2 - 10*g**2 - 12*g**2 + 3909.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4380618862.\nAnswer: 2, 2190309431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 133998 (base 10) to base 9\nAnswer: 223726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 10*q + 26. Suppose -4*c + 18 - 6 = 0. Calculate the remainder when h(-11) is divided by (-12)\/9*c + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of n**5\/20 + 171*n**3\/2 + 91*n**2\/2 - 2280*n. Differentiate a(g) with respect to g.\nAnswer: 3*g**2 + 513","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2\/3 + 80775*f.\nAnswer: 5*f*(f + 48465)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + p = -329, 2*l + 3*p = -0*p + 135. Suppose -o + l = 21*o. Solve 5*h + 25 = -0*h, 5*f + o*h - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18*24\/(-288))\/((-6)\/(-40)). Solve y*i = -8*i + 126 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2267652 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1453 + -1458. Let y = -0.6 + 1. What is the third biggest value in y, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -20, -71, -174, -347, -608, -975?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 18686938.04 to the nearest 10000.\nAnswer: 18690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001332521 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -168 - -168.1. Suppose 3*l + l - 4*c = 84, 0 = -2*l + 3*c + 40. Let f = -301\/13 + l. What is the closest to x in 0, -1\/2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 16*n - 109. Suppose -5*p = -212 - 343. Calculate the remainder when p is divided by y(22).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 9*q + 9. Let n be a(12). Suppose h - n = -10. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -6*v + 164. Let a be c(23). Let b be 4\/((-39)\/a*2\/(-3)). Solve -2*q = b*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187)*1*6)\/sqrt(11) - (1*sqrt(17)*1 + sqrt(153) + 0))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in 12, -152, 1.1, -4, 3, -0.11?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.2985 - 183?\nAnswer: -146.7015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffffiiffifff?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -112, -228\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 + -7. Let c = -81 + 102. Calculate the remainder when c is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.1 + -14. Let o = 2 - 1. Let h = 0.98 + -1.18. Which is the closest to h?  (a) o  (b) 1\/6  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**3 + 3004*l**2 + 170092*l - 537420 = 0.\nAnswer: -689, -65, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*-2)\/sqrt(3) + sqrt(39) + sqrt(390)\/(-1*sqrt(10)))\/(sqrt(27) - (sqrt(27) - (sqrt(27) + -2*sqrt(27)*-3))).\nAnswer: -2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -544.79 + 502.2. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1407124 - 1?\nAnswer: -1407125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**4\/2 + 6*u**3 - 57*u**2\/2 + 21*u.\nAnswer: 3*u*(u - 2)*(u - 1)*(u + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6074170 - 51531.\nAnswer: -6125701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 654 divided by -42?\nAnswer: -109\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -56*t**3 + 3*t**2 - t - 2. Let n = -9 + 4. Let j = -3 - n. Let m be s(j). Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -21.3  (b) -26928  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyydyyyyyyyryyy. What is prob of picking 1 y and 1 r?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 74*g - 390. Let t be k(7). What is the highest common factor of t and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4 = 0, 0 = 3*q + 3*a - 0 - 21. Let m be (1\/q)\/(2\/12). Let s = m + 5. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-50)\/(-21)*((-410)\/40 + 12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**2 + 3*o + 2. Let p be (4 - 2 - 5) + 8. Suppose -p*w + 10 + 5 = 0. Calculate t(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3092 equal to -241266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 143009*v + 143048*v + 0.\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*sqrt(832) - ((sqrt(832) + 0)*-3 + sqrt(832)) - -3*-6*-3*(sqrt(832) + 0))**2.\nAnswer: 1728*sqrt(13) + 2426116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1307 is divided by 217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-3) - ((-224)\/(-105))\/(-2). Let v be (-5)\/2*8\/(-5). Which is the closest to j?  (a) 1  (b) v  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3368 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**3 + t**3 + 5*t**3)*(9 - 2 + 5) + (-1 + 1 - 2*t)*(-2*t**2 - 2*t**2 + 5*t**2).\nAnswer: 106*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.74956 weeks to minutes.\nAnswer: 985315.5648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2363 a factor of 177225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -402 + 6832\/17. Let o = 1.567 - 1.267. What is the nearest to 2\/5 in a, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -98 + 94. What are the prime factors of (2 + u)*(-2 - 99\/6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -15*t - 71. Let l be u(-5). Let r be -4 + (-36)\/(-6) + (l - 1). Solve -r*b - 13 = -2*c, b + 3 + 2 = -2*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -9*u**2 - 5*u. Let d(l) = -5*l**2 - 3*l. Let r(w) = -7*d(w) + 4*k(w). Let g(n) = -3*n. Calculate g(y) + 2*r(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6 - -3)\/((-12)\/8). Solve 4 + x = 3*b - 3*n, -3*b - 4*n = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**3 + 2*c**3 + 3*c + 110*c**2 - 5*c**3 - 111*c**2 to w*c**2 + b*c**3 + k*c + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(-90)*9*-276. Sort d, 1, -1.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + -1 - (-14 - -11 - 4). Suppose 40 = 3*r - l, -2*r + 4*r - 10 = 4*l. Let f be (u\/r)\/((-1)\/5). Put 5, f, -5 in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -977*y - 10093*y - 788*y.\nAnswer: -11858*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10686328 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 - -209. Let z = 186 - 56. Let n = c - z. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (228 + -231)\/(((-30)\/(-28))\/(-5)). Solve 0 = z*s + 7 + 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*a - 15*a - 10 = 0. Solve 2*g = -g + b - 19, 2*g + 3*b = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 45, 4, 2 in ascending order.\nAnswer: 1, 2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/3  (b) 11.7  (c) 6\/7  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 2\/13  (b) 52.6  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010000 + -1111101101?\nAnswer: -101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 486 - 61 = 5*f. What is the remainder when f is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 481195 is divided by 759.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 41991256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -17. Let i be ((-2)\/3)\/(-1) - 6\/36. Which is the third biggest value?  (a) n  (b) i  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 320*m + 427*m - 30864 = 17*m + 87*m for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101001111 - -1001011111010?\nAnswer: 11110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1622324 millennia in years?\nAnswer: 162.2324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 948 and 632?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5\/24 + -5\/8. Put -3\/11, 154, r in increasing order.\nAnswer: r, -3\/11, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/10 - 78\/(-510). Let z be 10\/15 - (-96)\/(-9). Let k = z + 10. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19*a + 25*a + 4*a - 63 - a**2 - 3*a**3 + 41*a + 16*a**2.\nAnswer: -3*(a - 7)*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**8\/y**(3\/16)*(y\/y**(-1\/28))\/(y*y*y*y\/(y\/y**(-28)*y)*y))**28 assuming y is positive.\nAnswer: y**(3791\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 8*o - 11. Let i(s) = 207976*s - 2. What is a(i(k))?\nAnswer: 1663808*k - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s + 8. Let t be d(-6). Let n(o) = o**2 + 1 + 5*o - o**3 + t*o**2 + 0*o**3. Let r be n(4). Solve 0 = -l + r - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 2*n - 4 = 0. Let d = -3 + 5. What is the third derivative of v**6 - d*v**2 + 4*v**n - v**2 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*l**3 - 10480*l**2 - 2231216*l + 25006592.\nAnswer: -4*(l + 442)**2*(3*l - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22.62 - -52.62. What is y rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68\/147 and -31\/56.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1026671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -b**5\/7 - 440*b**4\/7 - 3897*b**3\/7 - 7754*b**2\/7 + 1748*b\/7 + 10344\/7 = 0.\nAnswer: -431, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 44 - 47. Let z be (46 - -2)*318\/8 + i. Suppose -4*j = -j - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 84 + -18. Calculate the remainder when f is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 204 and 14.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33111232 (base 4) in base 7?\nAnswer: 351115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, 1, -4, 8 in descending order.\nAnswer: 39, 8, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2819964367 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/10 - (-42)\/30. Let u(d) = 2*d**3 - 2. List the prime factors of u(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1913 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5616)\/1716 + (-618)\/33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 4*j**3 + 108711*j + 6*j**3 - 340*j**2 - 108710*j + 3*j**4 to p*j**2 + u*j**4 + n*j**3 + x + b*j and give p.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 6. Let o = p - 2. Let j = -116 + 582\/5. Which is the second smallest value?  (a) o  (b) j  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -90679, -90677, -90675, -90673, -90671?\n\"Answer: 2*y - 90681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4231571 (base 8) to base 5\nAnswer: 242033124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < -2699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 61757749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -448*g - 3693*g - 259*g + 58115 - 915 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nmxnnmmninnxxinnninn. Give prob of sequence xnm.\nAnswer: 11\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*g - 18*g - 96*g**2 - 25*g)*(-4*g**3 + 2*g**3 + 3*g**3).\nAnswer: -96*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 90970179 a multiple of 3080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13500, 26997, 40496, 53997, 67500, 81005, 94512?\nAnswer: 108021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -1258236?\nAnswer: 1258236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 7 + 7*d**2 - 4 as h*d**2 + t*d + l and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118066 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 25*s**2 - s + 86. Calculate the remainder when y(25) is divided by (-4)\/(-2)*(-21)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39003 * 12304\nAnswer: 479892912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117821041, 235642082, 353463123, 471284164, 589105205?\nAnswer: 706926246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/60 of a hour in milliseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2. Let w = 139 + -135. Let b(i) = -w*i - 3*i + 5*i + 5*i + 2. Determine j(b(r)).\nAnswer: -9*r**2 - 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15)\/(-10)*(-596662)\/(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-324))\/((-2)\/48)*1\/8*-147.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 246080101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3 - 12. Suppose u*f + 13 = -2*j, -2*j + 5*j - 6 = f. Let d be (-2*1)\/((-4)\/4). Sort 0, d, j in descending order.\nAnswer: d, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 23*u + 1 - 1. Let a(r) = r**2 + 158*r + 4476. Let j be a(-37). Determine y(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 18, z: 1}. Give prob of sequence oooz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(475) + sqrt(475))*-4 - (sqrt(475) - (sqrt(475) + 0 + sqrt(475) + -5 - sqrt(475)) - sqrt(475)))**2.\nAnswer: 350*sqrt(19) + 23300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qwfau. What is prob of sequence fuqa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2*4\/(-32)*-21*24\/36*10\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 8*p - 3. Let g = 2 - -9. Suppose g = -3*l - 28. What are the prime factors of z(l)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of m**6\/30 - 11*m**5\/15 + 35*m**4\/6 - 50*m**3\/3 + 6*m**2 + 4. Solve h(s) = 0 for s.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 61. Let l be i(54). Let d(w) = 4*w - 10. Let g(q) = -q + 3. Let c(k) = l*g(k) + 2*d(k). What is c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 3*l + 46. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2 + 8*j + 1114*j**3 - 39 - 3 - 1114*j**3 + 848*j**5 wrt j?\nAnswer: 16960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + (-6*sqrt(216)\/(sqrt(36)\/sqrt(3)))\/((-6*sqrt(99)*2 - sqrt(99))\/sqrt(11))).\nAnswer: -6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u - m + 11 = -14*u, -2*u - m + 3 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 2 + -2 + 0. Let k(v) be the second derivative of v**4\/12 - v**2 + 10*v. Let b be k(a). Sort 0, 1, b.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 0 + 6*g - 7 + 0*g + 0*g. Let u(m) be the first derivative of -9*m**2\/2 + 11*m - 108. Calculate 5*u(r) + 8*z(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19364 - 19363.7. What is the second smallest value in v, -0.05, -5\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 2*a - 18, -6*n - 52 = -1090*a + 1085*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9\/1351 + -54211\/25669. Calculate the common denominator of g and (26\/(-12) - -2)\/(200\/4920).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 + 33016*t**2 + 264032*t + 528000.\nAnswer: 2*(t + 4)**2*(t + 16500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 15. Let k = 15 + r. Suppose k = b - 4. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118035324160 rounded to the nearest 1000000?\nAnswer: -118035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -19*f**8\/336 + f**5\/60 + 9*f**2. What is the third derivative of q(w) wrt w?\nAnswer: -1140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28 + 52. Let x be (-2 - (-10)\/2)*8\/z. What is the greatest common divisor of 6 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 + 8*u**2 - 5*u**2)*(1 + 2*u - 1) + 4*u**3 - 2*u**3 - u**3 + (-3*u - u + 0*u)*(-u**2 + 2*u**2 + u**2).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 11*f - 16. Let m = 118 - 127. Let c be q(m). Suppose 0 = 5*s - 5*v + 45, 2*s + 9 + 5 = v. Sort c, -2, s in increasing order.\nAnswer: s, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {x: 2, r: 1, i: 2, s: 1, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 66 + -4187c5?\nAnswer: -41875e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.08 + 0.08. Suppose -4*b - 3 = -f - 6, -5 = -5*f. Is b < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43082176 by -2.\nAnswer: -21541088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*y**6 + 4*y**2 - 8*y**2 + 0*y**2 + 2*y**2 wrt y?\nAnswer: -1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -13*m**2 - 107576*m + 430318. Calculate j(4).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 41192?\nAnswer: 370728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of 0*o**2 + 2\/9*o**3 + 1\/6*o**4 - 1 + 0*o. Factor b(w).\nAnswer: 2*w**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 19 = 5*f - 2, 5*l = f + 12. Let a(r) = r + 1. Let o(b) = -3. Let j(c) = f*a(c) + o(c). Let w(n) = -2*n**2. Determine j(w(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -2\/83  (b) 0.2  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 85*f + 478. Calculate t(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*r - 2 = 0, -i - 3*r + 0 = -14. Solve -5*w + w - 11 = 5*g, -3*w - 14 = -i*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 - 32. Let m be -8*(n - -2)*(-3)\/12. Suppose 167 = 5*v - 4*z, 4*v = -0*v - m*z + 112. What is the remainder when v is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = -3*c + 60, 0 = 1955*c - 1958*c - 44*r + 1572 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, m: 1, p: 1, z: 1}. Give prob of sequence mpz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/38811339 and 65\/103496904?\nAnswer: 310490712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/24)\/(1\/(6\/4)). Let f(s) = -s**2 - s + 9. Let h be f(7). Let b = h - -140\/3. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, a: 4}. Give prob of sequence ad.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/13, -66 in descending order.\nAnswer: 2\/13, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(-24))\/((-2100)\/80)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 935527 + 3?\nAnswer: 935530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -6424*s + 1258. Calculate a(1).\nAnswer: -5166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and -4349422.\nAnswer: -4349421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1776 - 1086. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -3536215?\nAnswer: 3536218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 16 = 8*g. Suppose -5*z + 12 = g*s - 13, z = 5. Differentiate s + 3*v + 0 + 7 with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-6)*(25 + 0 + -25). Let r(m) be the third derivative of s*m**3 - 5\/24*m**4 - 1\/12*m**5 + 0*m + 15*m**2 + 0. Determine g so that r(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5848*g - 1548. What are the prime factors of t(-6)?\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476117.\nAnswer: 167, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 19 - 2*c + 0*c in the form i + n*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 5*g**2 + 4. Let a be f(-5). Let n(c) = -c**3 - 7*c**2 + 8*c + 1. Let k be n(-8). Solve 3 = a*j - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1719 and 0.3.\nAnswer: 515.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2413*u**3 - u**2 - 556*u - 1178*u**3 + u**2 wrt u?\nAnswer: 7410*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 484 times -0.6?\nAnswer: -290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-4) + 17930685\/(-230). Round q to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -12 - 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010100110 - 110010101?\nAnswer: -1000000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2491 - 2472. Solve -117 + 41 = -r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-48) - 1*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 1. Suppose 4*o - v = y, y = 3*o - 2*y - 9. Suppose 4*x - 12 = 2*x - 5*p, -o*x = -4*p - 52. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*c - 54*c + 3. Solve c = -2*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131791 is divided by 130950.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, 0, 1, -19 in increasing order.\nAnswer: -19, 0, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*r, 5*b = r + 2*r - 333. Let i be (-4)\/(-12) - (0 + (-166)\/b). Let u = i - -351\/55. Calculate the common denominator of u and 41\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*p**3*q**2*w - 26*p**3*q**2 + p**3*w - p**2*q**2*w + 3*p**2*q + 25*p*q**2 + 2*q**2 wrt p?\nAnswer: -18*q**2*w - 156*q**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191 = -5*b + 3*c, -4*b + 3*b - 4*c - 29 = 0. Let p = b - -106. Let d be (p\/(-2))\/((-3)\/(-6)). Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1950, -8148, -18476, -32934, -51522, -74240, -101088?\nAnswer: -132066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**5\/15 - 115*f**4\/6 - 417*f**2. Factor x(a).\nAnswer: -4*a*(a + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.454 times 0.1\nAnswer: -0.1454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53)\/(-2862)*-18*(-12)\/9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/1 - 123985\/15925. Let u = 1\/6370 - c. Let f = -2\/8849 + 858357\/17698. Calculate the common denominator of u and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -93 + 96. Suppose -61*x - r = -62*x. What is the remainder when 10 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*p + 2666 = -66704 + 10740. What is the highest common divisor of 6560 and p?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21ff0 (base 16) in base 4?\nAnswer: 201333300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -3*a**4\/8 + 35*a**3\/8 - 13*a**2\/2 + 5*a\/2 = 0?\nAnswer: 0, 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 46243b (base 12) to base 4\nAnswer: 10102113233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -51\/197 + 9491\/3940. Find the common denominator of u and (-2366)\/408 + 4\/(-34).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 100002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 11 = 4*t, -41 = -3*c + 5*t - 9*t. Suppose 7*g - c*g + 480 = 0. Calculate the remainder when g is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.13 + -0.17. Let h = 372385\/97 + -3839. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3 + sqrt(539) + -4)**2.\nAnswer: -140*sqrt(11) + 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 31 = 5*c. Suppose 6*r + 60 = 78. Let i(h) = -4*h + 12. Let y be i(r). Solve 5 = -y*j - c*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -561, -2276, -5135, -9138?\nAnswer: -14285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/21 or 0.0056?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 16*g - 5. Suppose 0 = -3*k - 5*v - 69, 2*k + 64 - 23 = -5*v. Let r be (-2)\/((-3 + (-88)\/k)*1). Let i be y(r). Solve -5*h - 3 + i = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((54\/2)\/756)\/((-5)\/(-35))*-76?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n + 16*n + 2*p = 26, n + 2*p + 7 = 0. What is the closest to n in -1\/2, -5, 1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, u: 9, h: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -2. Let k = -1.00078 - m. Round k to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(75))**2 + 0 + 0 + -2*sqrt(75) + ((sqrt(75) + 2*(1 + sqrt(75)) + sqrt(75))*3 + 1)**2)*3.\nAnswer: 2460*sqrt(3) + 32775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/17  (b) -14\/9  (c) 2\/7  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u + 0*u - 3*u - 6*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/68 and 169\/30?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -11*q**2 - 80*q + 30. Calculate j(-10).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1995.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 490 and 46207.\nAnswer: 462070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2*(1*sqrt(77) + sqrt(77)))\/sqrt(7) - (3 + -1*sqrt(11) + sqrt(11))*-3) + 1.\nAnswer: -8*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 173780.9 kilograms to nanograms.\nAnswer: 173780900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 17. Let n = 4 + -1. Which is the second biggest value?  (a) 0.1  (b) o  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 197132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1870098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -51.148 to one decimal place.\nAnswer: -51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 512.\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 96 = 2. Let c = r - 49. Solve -2*j - 13 = -3*v, 4*j = -c*j + 5*v - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8 - 2*f**5 + 10*f**2 - 8*f**4 + 14*f**3 - 10*f**5 + 10*f**3 + 6*f**2 - 12*f = 0. What is f?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 934025.793 from 0.4.\nAnswer: -934025.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 6*y**2 + 5*y. Suppose -23 = 5*n - q, -n + 26 = -2*q + 27. Let u be 8\/(-6)*(2 - -1). Let l(h) = -7*h**2 - 6*h. Determine n*g(v) + u*l(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 12*i + 17. Let c be w(13). Suppose -c*y = -j - 1277, 2*y + 3*j - 1592 = -3*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.752 times -0.5?\nAnswer: 0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 153*i**2 - 5. Let n(k) = -14*k. What is n(l(q))?\nAnswer: -2142*q**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 133, 0, -2, -499, 2\/5?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12.77 from 10526253.\nAnswer: 10526240.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/713 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12635*z + 12632*z - o + 93, -3*z + 2*o = -102 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 13  (b) 2  (c) 0.1  (d) -871  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 3343*u**2\/2 - 4376*u + 84. Differentiate k(a) wrt a.\nAnswer: 3343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5394, 10791, 16194, 21603, 27018?\nAnswer: 32439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000018945245 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -4  (b) 3\/2  (c) 3\/4  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.9796066 - 13.0204154. Let t = a - -14. Round t to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -470*w + 469*w + 3. Suppose h = d + 62 + 87, w*h = d + 443. Is h a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s - 42695 = -138290. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j + 6 - 33 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*g**5 + 848*g**4 - 11*g**3 - 30799*g**2 - g + 2?\nAnswer: 600*g**2 + 20352*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/74563600 and 67\/176.\nAnswer: 820199600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 400 and 1920.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5204 (base 7) in base 5?\nAnswer: 24232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5882764\/9 or 653640?\nAnswer: 5882764\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*z - 7*z + 390 = -258 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4, -4*p - 7 = -2*w + p. Suppose -2*d + w = -45. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o - o - 2*o + (0 + 1 + 1)*(-20*o + 42*o - 7*o))*(-3 + 0 + 4)*(-o**3 - 3*o + 3*o) + 10*o**4 - 2*o**4 + 4*o**4.\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 278 - 1411\/5. Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -5*c**3 - 3*c**2 + 3*c - 12. Let i(h) = -6*h**3 - 2*h**2 + 4*h - 13. Let l(r) = -4*i(r) + 5*y(r). Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77795979 plus 5?\nAnswer: -77795974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 40878, 81756, 122634, 163512, 204390?\n\"Answer: 40878*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 4*g**2 + 4*g + 6. Let v be o(-3). Suppose 0 = -v*a - 3*m + 120, -128 = -3*a - m - 0*m. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 + 7*f**2 - 45*f + 8. Let u be t(4). Let a be ((-4)\/(-9))\/(((-42)\/(-27))\/7). Solve 2*o = o - 4*c + u, a*o + c = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/11)\/((u*u\/(u\/u**(-12)))\/u) assuming u is positive.\nAnswer: u**(130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -174 + 178. Let w be 39\/4 - (-1)\/4. Suppose -u*a + 4*d + 144 = 0, 4*d + w + 11 = a. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -61458, -6, 7 in descending order.\nAnswer: 7, -6, -61458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by -418\nAnswer: 15\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/16*(4248\/(-168) - -29).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of 7*l**6\/60 + 19*l**5\/30 + 2*l**4\/3 - 4*l**3\/3 - 19*l**2. Factor f(s).\nAnswer: 2*(s + 1)*(s + 2)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u - 11. Determine f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 34*o + 1\/4*o**2 + 0 = 0.\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10532344 and 4600?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 32 = 12. Suppose -77 = -g*t + 71. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1906963688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*j - 260*j + 59*j as s + k*j and give k.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.08  (b) -27  (c) -498  (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2605599 divided by 9\nAnswer: 289511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 224 (base 8) to base 10\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2438454288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 + 2*l)*(-4 + 8 + 5)*(-1 + 0 + 0) + 4 + 2 - 7 - 2*l in the form o + p*l and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -538*a*s**2*z**2 + a*s**2 + 47*a*z**3 + 2*a*z**2 + a*z + 37*a + 86*s**2 + 14*s*z - 6*z wrt z.\nAnswer: -1076*a*s**2 + 282*a*z + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -124067 (base 9) in base 5?\nAnswer: -4401043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w**2 + 2*w**2 + 0*w**2)*(17*w - 11*w**2 - 17*w).\nAnswer: 33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j + 38732 + 17956 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 1.1  (c) -3  (d) 5  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 2877.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 smaller than 2114.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 287*q - 286*q - 320 = -4*l, -1726 = -5*q - 2*l. Let m = 746 - 398. Is m at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.9448227ns?\nAnswer: 0.0000000009448227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -n**7\/140 - n**6\/80 + n**5\/10 + n**4\/4 - 965*n**2. Find x such that l(x) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60108137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5072709 is divided by 4141?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvaeatvvpaatpn. Give prob of picking 1 t, 1 a, 1 n, and 1 v.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*a = 6*a - 6, 3*g + 31 = -5*a. Let n(f) = -f**2 - 9*f + 10. Calculate the remainder when (42\/(-28))\/((-6)\/280) is divided by n(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1275543 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326024?\nAnswer: 2, 83, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*39\/455*-7. Put n, -2\/5, -4, 0, 25 in descending order.\nAnswer: 25, n, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 8*n - 167527, 7*v = 2*v + 25. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -252*d**3 - 4430*d**2 - 44782706*d wrt d.\nAnswer: -1512*d - 8860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 10.9. Let b = -3153 - -3153.07. What is the fourth smallest value in 4, b, -3, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.4 + -0.6. Let i = 437 - 388.2. Let v = -49 + i. Which is the nearest to -1?  (a) 0.1  (b) v  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -201?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 - -28. Suppose -o + g*o = 1. Is -8 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217560 is divided by 27093.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -133 - -78. Let g = h + 500\/9. What is the common denominator of g and 38\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 378836 by 189418.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (10 + 0 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -5*l - 708 + 708 + 4*l. Let y(f) = -f + 2114. Determine o(y(v)).\nAnswer: v - 2114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -313 (base 4) to base 8.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 431817 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -5*c**3 + 578*c**2 + 2022*c + 111. Calculate a(119).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + b - 17, 4*y + b = -3 + 24. Suppose -2*w = y*w - 30. Calculate the lowest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, b: 2, m: 5}. What is prob of sequence mmmb?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 942 and 1785.\nAnswer: 560490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4126\/(-14) - (-4)\/(-14). Suppose 0*j - 65 - 356 = -j. Let a = n + j. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 5*x + 2 = 0, 25881*w = 25877*w - 3*x - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than -952370280?\nAnswer: -952370275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 - 326. Let s = a - -369.9. What is the nearest to s in -0.5, 0.9, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -5*z**2 - 19*z + 19. Let f(d) = -d**2 - 4*d + 4. Let p(w) = 11*f(w) - 2*i(w). Let o be p(-5). Solve a + 3 = -4*r - 4*a, -5*a + o = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x**2 - 391*x + 1880. Let v be g(5). Find z such that -4\/3*z**2 - 1\/3*z**5 + 0*z + 1\/3*z**4 + 4\/3*z**3 + v = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13368 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -55126, -91274, -127422?\n\"Answer: -36148*i - 18978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 0 + -4 - 4*(sqrt(11) - (-2*sqrt(11))**2).\nAnswer: -3*sqrt(11) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 761298824 divided by 95162353?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -6. Let m be -2 + (-2 - l*-9). Let v(h) = 8 - 7 - 9 + 14*h**3. Let c(n) = 9*n**3 - 5. What is m*v(y) - 8*c(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-8))\/((-30)\/(-120)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 - 17417408*i - 37920762679808.\nAnswer: -2*(i + 4354352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1803830059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rvr when three letters picked without replacement from rvrc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1675\/1273*(-161)\/(-805)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = t + 2*t + 6, -t + 4*f = -15. Let b(y) = 8*y**2 + 2 - 12*y + 4*y - y + y**t + 0*y**3. What is the units digit of b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, z: 8}. What is prob of picking 3 z and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 9 = 21. Let v(m) = -m**3 + 5*m**2 + 8*m - 7. What are the prime factors of v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 2, -519, 10.\nAnswer: -519, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*g = 2*g - 436, 0 = 5*g - 20. Suppose 7*r - u = 11*r - 162, 0 = 5*r + 4*u - z. What is the lowest common multiple of 18 and r?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 5:19 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 448139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -150*m - 895. Determine k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-114 - (-2)\/2)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 + 80. Suppose 5*r = c*l + l - 1197, -3*l + 5*r + 904 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -17*a**2. Let m(w) be the second derivative of -13*w**4\/6 + 109*w. Give m(o(i)).\nAnswer: -7514*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1014480064*t - 281092611.\nAnswer: -1014480064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 - 28 + 2*y**3 - 7*y**3 - 30.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-5) - 4) + (-3)\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 303848 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -248*f**2 - 6*f - 460. Let k(o) = 2730*o**2 + 65*o + 5060. Let q(z) = 65*a(z) + 6*k(z). Differentiate q(r) wrt r.\nAnswer: 520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*9*(-9)\/(-81). Let o be (-4644)\/486*a\/2. Is o less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*x + 516 = -122*x. What is the highest common factor of 2139 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/330*-3*(-84)\/35?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 569 + -929. Let w = o + 359.7. Which is the third biggest value?  (a) w  (b) -2  (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1187 or 1188?\nAnswer: 1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -213430 by -14.\nAnswer: 15245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2460 + 5.6\nAnswer: 2465.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**3 - 171*k**2 - 1968*k = 0.\nAnswer: -41, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -3. Let a(c) = -c. Let x be a(-3). Suppose 4 = -m - x*k + 6*k, 0 = -5*m + 2*k + 6. Solve -28 = -5*d - m*v, 8 = j*d - 4*d + 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*u - 488 + 927 + 765 = 0 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 223000333 (base 4) to base 13\nAnswer: 62272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/5 + 164*u**2\/5 - 644*u\/5 + 128.\nAnswer: -(u - 160)*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/6 + 11\/33. Suppose 4*o + 5*l - 390 = 3*l, -5*o + t*l + 465 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3953414401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 1 + 12 + 9*k**4 + k + 15 - 5 to the form p*k**4 + s*k**2 + v*k**3 + y*k + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (134 - 4 + 14)*(5 + 4 - 5 - i) + (-5*i - 17*i + 3*i)*(-2 + 3 - 2).\nAnswer: -125*i + 576","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 26 = 1. Is -8 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**5\/60 + u**4\/8 - u**3\/6 + 29*u**2 - 3*u. Let r = 9 - 13. What is the units digit of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -736*g - 3*g**2 - 22535580 + 22535580 to the form n + b*g**2 + o*g and give o.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -852*h**3 - 167*h - 18. Let b(x) = 851*x**3 + 168*x + 21. Let o(t) = -6*b(t) - 7*u(t). What is the second derivative of o(i) wrt i?\nAnswer: 5148*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bt when two letters picked without replacement from qkkbqakkaktbtkbkqb?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**2. Let b(w) = 31125*w. Determine c(b(m)).\nAnswer: -1937531250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 16, 46, 88, 142, 208?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5855, -5691, -5409, -5003, -4467?\n\"Answer: a**3 + 53*a**2 - 2*a - 5907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37630*b**3*i**3 - b**3 + 40*b**2*i**5 - 425332*i wrt i?\nAnswer: 225780*b**3*i + 800*b**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 13 - 246*a + 252*a to s*a + t and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -11*j + 237. Let a be n(22). Suppose 2*y - 4 = 2*z + 4, -2*y = 3*z - 3. Let v be 2\/y + 2\/(-30). What is the second smallest value in v, a, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*n**3 + 223 + 5*n - 3*n + 19*n**4 + 17*n**3 - 220 + 23*n**2 - 3*n**4 in the form b*n + l*n**2 + a*n**3 + j*n**4 + u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 b, and 1 u when four letters picked without replacement from {u: 1, c: 2, n: 1, b: 2, p: 1, a: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -39*z - 38*z - 2*z**2 + 53*z + 3*z**2 + 47. Calculate the least common multiple of k(23) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 12*w**2. Let t(o) = o**3 + 6*o**2 + o + 7. Let k be t(-6). Is 12 a factor of i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 8*j - 4. Calculate t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99440, -203046, -306652?\nAnswer: -410258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (3 - (-6 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*h - 73140 = 4961*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 18*v**2 - 42*v + 19. What is j(-13)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 196346, 392691, 589036, 785381, 981726?\nAnswer: 1178071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 871299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 155 = r - 4*x, 0 = -4*r - x + 688. What are the prime factors of (r\/6)\/(7\/14)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -208, -427, -664, -919, -1192?\n\"Answer: -9*y**2 - 192*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -1. Let c(x) = -16*x + 1. Let i(u) = -3*u. Calculate a*c(j) + 11*i(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 51 = -4*o. Let d = -11 + o. What is the lowest common multiple of 22 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -69 + 102 + 18\/2 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 7*p + 3. Let m be k(7). Suppose 3*j + m + 6 = 0. What is the second biggest value in 1, 7, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6055 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2d (base 14) to base 13\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*d + 20*d + 1035 = 40*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 5*t**2 - 7*t - 7. Let p be l(-6). Let v be -2 - (-1)\/(p\/(-39)). Suppose -v = -2*k + k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2976*d - 211*d = -147*d - 3591*d + 539749 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k - 458 + 372 + 1577. Suppose -52 = -a + 19. What is the greatest common divisor of k and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5272*v + 88409 = -159375 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3972723 divided by -36447\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 4*o - 131787, -4*d - 53*o + 58*o + 175747 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -99*x**3 + 217*x**2 + 6*x + 4. Let n(m) = -99*m**3 + 219*m**2 + 8*m + 6. Let r(q) = -2*n(q) + 3*u(q). What is the third derivative of r(i) wrt i?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.54893 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 960001*x**5\/20 + x**4\/12 - x**3\/3 - x**2 + 4*x - 4. Let k be t(-1). What is k rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -38 + 56 + 3*l**2 - 5*l - 13 - 18 - 18. What is b(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -11\/6*k**3 - 1\/20*k**5 - k**4 - 11*k - k**2 + 0. Let d be y(-11). Is -10\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 - 8220*r**2 + 3386625*r - 6740410.\nAnswer: 5*(r - 821)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qoc when three letters picked without replacement from {c: 1, o: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, y: 4, i: 1, u: 2, k: 2, q: 3}. What is prob of picking 3 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 168*o + 4. Let v(i) = -183*i - 4. What is 5*v(g) + 6*w(g)?\nAnswer: 93*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 58\/5. Put i, 0.2, -0.2, 0 in ascending order.\nAnswer: -0.2, 0, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 25 = 40. Which is the closest to 6?  (a) -1  (b) m  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -c**3\/6 - 11*c**2\/4 - 5*c - 13. Determine a, given that n(a) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -9*k - 5. Let q = -52 - -56. Let a(s) = 3*s + 5. Let i(p) = -2*p - 6. Let z(f) = 3*a(f) + 2*i(f). Calculate q*u(o) + 7*z(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -10*g - 44. Let i be h(-5). Solve -2*z + 2 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + i)*(-7*i**2 + 20*i**2 - 104*i**2) - 2*i**3 - 3*i**3 + 7*i**3 + (5*i**3 - 5*i**3 - 5*i**3)*(-7 - 5 + 6).\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 19, 72, 179, 358?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h**3 - 2*h**2 + 9*h + 54. Determine c(-3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -6*s + 48. Calculate the least common multiple of 12 and (-9)\/(162\/30) + 339\/s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36700 (base 8) to base 15\nAnswer: 4a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**5\/390 + 11*f**4\/78 + 121*f**3\/39 + 3*f**2. Determine q so that x(q) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/61 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 50730000 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -396, -4\/9, -12 in decreasing order.\nAnswer: -4\/9, -2, -12, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2263911 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 - -1131.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -77*m**2 - 8011*m - 23627. Give d(-101).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 11414?\nAnswer: -11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -344 - 57255?\nAnswer: -57621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 447287\/5 - 90090. Let m = 633 + q. Which is the fourth smallest value?  (a) -0.3  (b) 2\/11  (c) m  (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20695.23 years to millennia.\nAnswer: 20.69523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*g + 30500 = 226*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4097.3 * 3.7\nAnswer: -15160.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.013562 and 1?\nAnswer: 1.013562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 149 = -j, 739 = 5*u - 5*j + 6*j. Let r be (-12)\/4 + u - 5. What is the greatest common factor of r and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t - 3 - 3 - 6*t**2 + 5 + t**3. Let n be o(5). Put -5, n, -4 in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -6*k - 2. Let d(v) = v**3 - 4*v**2 + 5*v - 2. Let f be d(3). Suppose -f*z - 4 = -2*z. Determine s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -15, -41, -85, -153, -251, -385?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -28, -5, 23.9 in decreasing order.\nAnswer: 23.9, -1\/2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3 - 39*p**2 + 3*p + 39.\nAnswer: -3*(p - 1)*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010110 (base 2) to base 8.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -i**3\/6 - i. Let f(t) be the first derivative of -2*t**3\/3 - 22. Give f(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6146, 3, 29, -2, 0, 2 in increasing order.\nAnswer: -2, 0, 2, 3, 5, 29, 6146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518233 is divided by 1589?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4653817504?\nAnswer: 2, 7, 41, 506731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 85, 0, 3 in increasing order.\nAnswer: -4, 0, 3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((7\/(-12))\/7)\/(63\/(-378))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, -7, -2 in increasing order.\nAnswer: -7, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 23759, 36364, 48979, 61610, 74263, 86944, 99659?\n\"Answer: s**3 - s**2 + 12601*s + 11158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 + -46. Solve 0 = 2*x + 7 - v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from qyqooqqqyyyyyy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301*c + 3594 = -53*c - 1716 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-10))\/(6\/(-15)). Suppose 0*k = i - 4*k, 3*i + x*k = 0. Suppose 2*y - 5*w - 1 = i, 0*y + w - 7 = -2*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5234843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.07 from 73693748802320.\nAnswer: 73693748802319.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280291, -280292, -280293?\nAnswer: -280294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -31. Suppose 4 = -2*x + 2*o - w*o, -3*x - 3*o = -3. Determine q, given that 3\/2*q**2 + 21\/4*q + 27\/4*q**5 - 3\/2 + 0*q**x - 12*q**3 = 0.\nAnswer: -1, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 11*q**2 + 2*q - 1. Let y = 10 - 9. What is the tens digit of w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2453248 (base 10) to base 6\nAnswer: 124325344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/(-45) + 45926\/30?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8262 and 243?\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6, 21, 44, 81, 138, 221?\n\"Answer: l**3 - 2*l**2 + 14*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1483 - 1475. What is the nearest to 2 in w, 3\/5, 27, -1\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*x, -5*d + 3*x + 54 = -115. Let s = 41 - d. Let r(b) = 2*b - 9. Let g be r(6). Solve -n + 13 = -g*v, -n - 2*n + s = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjyvjvvvypjy. What is prob of picking 1 v and 1 j?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -7*a + 79. Let y be h(11). Let d(z) be the second derivative of 0*z**3 - 3*z + 0*z**y + 1\/4*z**4 + 0. Let g(w) = -3*w. Calculate d(g(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32.67038 - 13847375.\nAnswer: -13847342.32962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4591970*f**2 - 7226569?\nAnswer: 9183940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 20 = 6*s. Let v = 53 + -23. Solve s*f + 10 = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -9. Suppose 2*w - 7 = -k*n - 3*n, -3*w + 3*n + 18 = 0. Suppose -w*a = 2*p - 21, 68 = 3*p - 4*a + 2. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 5*y**2\/2 - 1. Suppose 3*a + 9 + 3 = 0. Let c(p) = p + 5. Let i(k) = k - 1. Let t(s) = -c(s) - 5*i(s). Give a*t(f) - 5*w(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2941179221 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 107, -11, -1 in increasing order.\nAnswer: -11, -1, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**3\/3 - 5*d**2\/3 - d = 0. Calculate d.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 2*o - 4. Let i be w(-3). Let m = 24 - i. Let x = m + -14. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6 + 26*j + 26 - 21 - 22 wrt j.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 87, 328, 617, 966, 1387, 1892, 2493, 3202?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -17*g + 157. What is n(11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/15 and 19\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of o**5\/12 + o**4\/12 - 59*o**3\/3 - 9788*o**2. Let v(h) = 2*h**2. What is q(v(s))?\nAnswer: 20*s**4 + 4*s**2 - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 55699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*6\/18*-12. Let v = -21 - -233\/11. What is the biggest value in v, -3, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15644, -15643, -15642, -15641, -15640?\nAnswer: -15639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 225940873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 48\/(-6) + 6 + 2 + 0. Suppose g = -3*u + k + 70, -5*u + 0*k + 118 = -k. Suppose 1764 = u*s - 10*s. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11272 + -10973. Solve 296*b - g*b = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000097726 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.162932 to 2 decimal places.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 807 divide 27215859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99.81 + -60.839. Let x = 0.029 + a. Let g = x - 38.71. Round g to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.6678 to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 9:23 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (6\/12)\/(-3 + 4\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 423 + 414 = q, -15 = -4*q - 5*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77921875 to the nearest integer?\nAnswer: 8827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -58288.1 + -697.998?\nAnswer: -58986.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-5))\/(10\/900). Let k = -36 + u. Suppose k*s - s = -5*m - 3, 0 = -m + 4*s - 12. Solve 3*q - 4*f + 7 - 2 = m, -q = 2*f - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 243 divide 591981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-108)\/15)\/(2 - 83\/40) and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -234372996 divided by 66?\nAnswer: -3551106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 u when four letters picked without replacement from {h: 3, u: 4, s: 1, t: 7, o: 1, c: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**0\/h)\/h)\/h*h\/(h*h*h*h\/h**0)*h**(-4\/9)\/(h**(3\/5)\/h))\/(((((h**(-2)\/h*h)\/h)\/h*h)\/h)**25)**(-39) assuming h is positive.\nAnswer: h**(-175772\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrzrqrrqovt. Give prob of picking 1 r and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 3*h**2 - 6*h + 2. Suppose 48 = 8*w - 824. What is the remainder when w is divided by n(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, t: 2, y: 14}. What is prob of picking 2 t?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 432973224 divided by -48108136?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 at most -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 346424152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 16*b - 266. What is i(17)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -213, -154, 73, 468, 1031, 1762, 2661?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17628635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 3*q - 13. What is the remainder when 129 is divided by r(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wsfafmmfasfawfsfan. Give prob of sequence awa.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -6 - 2*c + 0*c - 11. Suppose 4*b + 0*j = -3*j - 19, 2*j - 34 = 4*b. Let g be p(b). Sort 3, g, 0.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80540 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = -15*b - 15. Let a be 6\/(-15)*(b - 2) - 5. Let k = -311 + 316. What is the third biggest value in k, a, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 7:53 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -1222, -6, 3, 1\/2, -3, -26\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.4*-0.894801.\nAnswer: -1.2527214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 + 2*y**5 - y**5 + y**5 + 2*y**5 - y**5 + (2*y**4 - 5*y**4 + 4*y**4)*(0*y - y + 3*y) - 5*y**5 + 3*y**5 + y**5 + 11 - 8*y**5 - 11.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8479 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4158 (base 12) to base 8\nAnswer: -15724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -63. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**2 + 0*a**2 - 4*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7*o**3 - 15*o**2 - 2*o + 15. Let f(a) = 4*a**3 - 8*a**2 - a + 8. Let m(d) = -5*f(d) + 3*n(d). Let t be m(5). Is (-2)\/(t - 2\/53) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2645 + -87244\/33. What is the common denominator of 53\/525 and p?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -8*11*7\/(-14). Is s greater than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204238 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -4 + (-44539)\/(-19756). Let i = p + -2\/449. Sort -5, -4, i.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15*(-7)\/42)\/(21*1\/12)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 98*h = 509105. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 2757 = -2713 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9700 is divided by 418?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -fa + 3ee120?\nAnswer: 3ee026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/5)*(x\/(x*x**(-3))*x)\/x)\/(x**1)**(-24\/11) assuming x is positive.\nAnswer: x**(296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a - 11*a + 41 = 221. Let b = 29 - 14. Calculate the greatest common divisor of b and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4\/21 - 100*z**3\/21 + 550*z**2\/21.\nAnswer: -2*z**2*(z - 5)*(z + 55)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 17*z - 423. Let k be a(25). What is the closest to k in 1\/4, 2\/3, -4, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-4) - (-5)\/18. Which is the closest to q?  (a) -0.12  (b) 3\/7  (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 119426429*n**2 + 115015801*n wrt n.\nAnswer: 238852858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b - 59. Let u be w(9). Solve 0 = 5*s + 5*v + 45, 2*v + 2*v = 4*s - u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -212, -331, -450?\n\"Answer: -119*c - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -5*a - 56. Let m be g(-12). Let d be ((-136)\/10)\/(m\/(-50))*-60. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f = -5*f - 429. Calculate the lowest common multiple of f and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 197a59 - -237?\nAnswer: 198094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -37, -3, 2, -8 in increasing order.\nAnswer: -37, -8, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 22*y**2 + 53*y - 103. Determine k(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -525 - -849. Is j a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 10:58 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -257758 at most -257759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 8 = -3*d, 3*d = -3*x + 9 - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 2:22 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.26 + 0.14. Which is the second smallest value?  (a) 3  (b) -0.5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.1. Let i = -3 + 3.05. Let u = -0.45 - i. Which is the third biggest value?  (a) -2\/3  (b) u  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*a - b = -68*a - 16, 0 = 2*b + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaggargjjjkgha. What is prob of sequence rg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 110 - 1146 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 342227383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 131 + -103. Suppose -92 = -5*u - 3*l, l = -u - 2*l + h. Calculate the highest common divisor of 128 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261029 (base 11) in base 14?\nAnswer: a9c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278 = -11*l + 322. Suppose 5*m - 4*n = 4742 + 4544, -4*m - l*n = -7436. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 2*y**3\/3 + 69*y**2\/2 - 98*y - 5183. Determine j(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 13 + 1. Let d be o\/9*72\/8. Solve -2*l + 3*x - 7 = -l, d*l = -5*x + 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6*(-3)\/2 + 1. Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/((-18)\/(-54)*-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 66563511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 224202.919 to the nearest 1000.\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4260167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*b - 2*b - b)*(2 - 3 - 5).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89714 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/40*30\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3840826 and 1745830?\nAnswer: 19204130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6941 - -6962. What is the remainder when 307 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18211057 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 + u - 2)*(8*u**3 + 9*u**3 - 10*u**3).\nAnswer: 7*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.9 and -0.3387?\nAnswer: -0.98223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 687 times 11.7\nAnswer: 8037.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 41035 (base 6) to base 12\nAnswer: 317b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -17774*c. Let n(i) = -22*i**2 + 2. Give n(y(d)).\nAnswer: -6950131672*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 13, -946 in descending order.\nAnswer: 13, -4, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7086 divided by 6?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-45)\/105)\/((-4)\/42) and -55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-9 + 16 + -22 + (11 - -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7160 and 343680.\nAnswer: 343680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 48000173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -153. Suppose 9*u - r - 104 = 0. Suppose -2*y + 24 = -5*v, 4*v + 8 + 12 = 2*y. Solve 0 = -5*n + l + u, -5*n + y = 3*l - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.924 rounded to 1 dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 70691 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -891, -914, -943, -972, -995, -1006, -999?\n\"Answer: u**3 - 9*u**2 - 3*u - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n - 20*n + 4*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -ad9 (base 16) to base 4\nAnswer: -223121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 9*w**4 + 2*w**3 - 2*w + 16. Let d(s) = -198*s**4 - 45*s**3 + 45*s - 351. Let u(h) = 2*d(h) + 45*j(h). Differentiate u(b) with respect to b.\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -387*o + 384*o + 12. Solve l = o*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 217141546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 94*v**2 - 1739*v + 94. Calculate s(-27).\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10700472 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of -l**2\/2 + 7*l. Let f(j) = -2*j + 4. Let z = 4 + -2. Suppose 3*n - 8 = p, z*p = 4*n - 5 - 5. Determine p*f(g) + 5*m(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttnnbnts. What is prob of sequence snnn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**2. Suppose 2*b - 3*b + 4 = 0. Suppose b*c - 2 = 14. Let r(d) = d - d + c*d - 2*d. Determine s(r(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 3624962.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z + 22. Let j(n) be the first derivative of -n**3 - 305. What is j(u(d))?\nAnswer: -48*d**2 - 528*d - 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01023165904 to 6 decimal places.\nAnswer: -0.010232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2611336 and 2744?\nAnswer: 127955464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - -1*sqrt(64)) + 4*(sqrt(5) + 1) + 3 + -4 + ((-4*sqrt(240))\/(-1*sqrt(27)))**2.\nAnswer: 21*sqrt(5)\/5 + 1307\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(-2) + 106\/4 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13611, 27167, 40665, 54075, 67367, 80511?\nAnswer: 93477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1191911, -1191912, -1191913, -1191914?\n\"Answer: -d - 1191910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4\/5  (b) -1\/10  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + -12. Let k = z + 31. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1239*l + 346 = -1238*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1614935?\nAnswer: 5, 7, 46141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 2*g + 1. Let z(k) = -6*k**2 + 8*k - 4. Let m(t) = -4*a(t) - z(t). Let p(l) = 29*l. Determine p(m(f)).\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 46992\/572 + -82 + 1096\/(-26)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*10.9456.\nAnswer: -10.9456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5825*k - 64095. Give h(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4 + 2 - 418*m**2 - 37*m**2.\nAnswer: -455*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 58472955 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -15 - -11 - (-12)\/(2 - 0). What is the greatest common divisor of q and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4 = 4*n - 36, -3*x = -4*n + 5. Suppose 4*f - x*a = 170, -a + 4 = a. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 73*i + 1075. Calculate h(-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 307 - 339. Let s(n) = -14*n - 112. Let u be s(f). Solve o + 3 = u, -3*j + 5 = -5*j - 3*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-18))\/1*3. Let b be (-23)\/(-345) + (-4)\/(-30). What is the closest to -1\/3 in h, b, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/10*(-12)\/36. What is the nearest to z in 0.6, -0.08, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**4\/2 + 357*o**3 - 64080*o**2 + 126736*o = 0.\nAnswer: 0, 2, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**0))**(-12)*((w**(-7)\/w)\/w)\/(w*w**(-4\/3)*w*w)*(((w\/(w*(w*w**1*w)\/w))\/w)**(-13\/5))**(2\/27) assuming w is positive.\nAnswer: w**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 9*c - 4. Let h be i(10). Let g be h\/3 + 7\/(-4). Find q such that g + 1\/4*q**4 + q**3 + 3\/2*q**2 + q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2d (base 14) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 125 * -22018\nAnswer: -2752250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -41*m. Let c(z) = -47*z**2 - 51*z**2 - 52*z**2 + 154*z**2. Give c(x(y)).\nAnswer: 6724*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-12)\/120*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132\/(-42))\/22*-65 - 4\/((-16)\/(-28))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 21, 46, 69, 90?\n\"Answer: -q**2 + 28*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27125*l + 440 = -27147*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 8. Let x(f) = f**3 + 2*f**2 - 5*f + 9. Let g be x(-4). Let j(l) = 2*l - 23. Give g*j(p) - 8*n(p).\nAnswer: 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 2*t + 2542 = 2527, 14*t + 84 = 5*b - 5*t for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2436?  (a) 3  (b) -1\/5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/7000 and -9\/5600.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**2 + 3*z**2 - 4*z**2)*(-1 - 3 + 6) + 162*z**2 - 7942*z**2 - 47*z**2 - 5*z**2.\nAnswer: -7828*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (10872\/(-43092) - 6\/(-27))*(-10)\/20?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 294 - 39. Is 255 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -1904\/28341 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 1370.1.\nAnswer: 1366.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 30 + -26 - (-1 - -1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**3 + 4*a**2 - 5*a. Let w = -33 + 57. Suppose 13*m - w = 9*m. Let s be (7\/((-42)\/(-8)))\/((-2)\/m). Let d(k) = -k**2 + k. What is s*d(t) - b(t)?\nAnswer: -2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/(u\/(u\/(u*u**(1\/2)*u)))*u)\/u*u)**(-2\/11)*u**(-1\/3)*u**1)\/((u\/u**(-6))\/((u*u*u**(5\/3))\/u)*(u**(1\/2)*u)\/u*u**(1\/4)) assuming u is positive.\nAnswer: u**(-595\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 117 - -2 - ((-55 - (3 - 3)) + 60)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82.29883013 + -0.1.\nAnswer: -82.39883013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1344188, 2688398, 4032608?\n\"Answer: 1344210*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10569 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*c = -48*c - 24. Let j(r) = 23*r - 4. Let z(y) = 551*y - 95. What is c*z(o) - 95*j(o)?\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-15))\/(18\/(-10)). Let t = -1\/7 + 2\/7. Let v = 20 - 19. Sort b, v, t in descending order.\nAnswer: v, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -3. Suppose -v = v + w - 2, 4*v = -w + 2. Let g(q) = -4*q + v + 0 + 5*q - t. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 5401.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, h: 4}. What is prob of sequence hhgh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*i + 25 = 0, 3*i - 10 = -6*g + 4*g. Suppose -g*h + 976 = 296. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - 1.9. Let t = s + 2.1. What is the closest to t in 0, -0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a hour in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 16*u - 10. Let f be s(15). Suppose f*j - 2 = 18. Suppose 0 = -j*t + 11 + 45. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*n + 638 = -3*n. Suppose 2 = 9*w + n. Let v = 11 + -6. Which is the third biggest value?  (a) w  (b) v  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -6*j**2 - j - 1. Let p(b) = -17*b**2 - 3*b - 3. Suppose 2*z = -3*c + 4*z + 20, 5*z = 25. Let i be 35\/c + 2\/4. Determine i*p(f) - 11*m(f).\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 6 + 7 = 3*l, -2*q = 2*l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/10)\/(9\/(-45)). Let w = -4 + j. Is 2\/37 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h + 9. Let n(b) = -4*b - 19. Let q(w) = 6*n(w) + 10*z(w). Let x be q(-7). Find the first derivative of -24 + 62*c**x + 47*c**4 - 86*c**4 wrt c.\nAnswer: 92*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -348.56 plus -0.07?\nAnswer: -348.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, a: 2, p: 2, z: 7, h: 2}. What is prob of picking 2 z and 1 a?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 + 142*p + 216. What is k(-71)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/33  (b) -5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 7:19 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 139, 310, 485, 664, 847?\n\"Answer: 2*c**2 + 165*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 3, 5, 378, 2, -107, -3.\nAnswer: -107, -3, 2, 3, 5, 7, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3 + -1.3. Let p = -5.494 - -6.494. Let g = 0.34 - -0.06. Which is the second biggest value?  (a) -2  (b) g  (c) p  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.000780182 rounded to 5 dps?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -1 + 6*x + 1. Let h(v) be the first derivative of 13*v**2\/2 + 9. Let d(z) = -4*h(z) + 9*t(z). Let j(o) = -2*o. What is d(j(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*o)*(1 - 2 + 3 + (3 - 3 - 1)*(-1 - 2 + 0)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 3 = -d. Suppose d*j = j. What is the units digit of 4 - (-1 + j + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 2:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -11*t**2 + 9*t + 4. Let z(b) = 3*b - 2*b + 2*b + 3 - 6*b**2 - 3*b + 4*b. Let d(y) = -4*a(y) + 7*z(y). Give d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 22 - 32. Suppose u*w - 230 = 3*s, s = 2*s - 5. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 27711 + 4 - 3 - (-6 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1267 + 8870\/7. Let h be -4 - -1*(0 + 1). Let w = -7 - -3. Which is the nearest to h?  (a) d  (b) w  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -881*t - 130746. Give r(-151).\nAnswer: 2285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 3:31 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -542, 4, 1\/2, 2\/9, -0.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.005788 from -69.\nAnswer: -69.005788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 28*t - 9*t. Let c be (54\/(-21))\/(3\/14). Let v be 4 - (c\/3)\/(-2). Solve -y = t*u + v, -2*y + 2*u - 4 = 4*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37 + -38. Is 6 a factor of 44 - 24 - (1 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -572 + 575. Let a be (-3)\/(-2)*20\/15. Solve -3*i**a + i - 5*i - 4*i**x - 5*i**2 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.04283 rounded to three decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(700)*2 + sqrt(35)\/(2*sqrt(5) + sqrt(5)).\nAnswer: -2 + 61*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 6:30 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1168 divide 5108832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4 - 2. What is the second biggest value in 4, j, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 13535*g. Let m(r) be the first derivative of r**3\/3 + 2344. Calculate q(m(p)).\nAnswer: 13535*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 58?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - u - 2. Suppose 38*q - 16 = 30*q. Determine p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 8. Let p = s - -15. Let v = p + -4. Solve 0 = 5*t + 5*x, -3*t = v*x - 6*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -320428307 * 1\nAnswer: -320428307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 u when four letters picked without replacement from {u: 7, s: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 7*a**2 - 3*a + 10. Let f(x) = x**2 - 2*x - 4. Let y be f(4). List the prime factors of p(y).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dzzzdzndddnd. Give prob of sequence dndz.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s - 1 + 1)*(-19 + 5 - 8) + (9*s + 2*s - 4*s)*(0 + 0 - 1) to the form q*s + m and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-71)\/4)\/((1\/(-4))\/1). Suppose 0 = 26*s - 7 - x. Which is the closest to 12?  (a) -1\/6  (b) 0.4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 468 = r - 429, 5*b + 31 = r for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -1011\/47 and -23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 3*y + 530, 0 = 2*q - 5*y - 0*y + 258. Let x = 128 + q. Let c(b) = 2*b + 0*b - 29 - b + 36. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3508443 + 3508443 - 35617*c as m + q*c and give q.\nAnswer: -35617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z + 24. Let d be a(0). Let p be 102\/d - (-2)\/(-8). Which is greater: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 441917140 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhhu when four letters picked without replacement from jhuhuhuuujuhuujj?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 2:13 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 10639, 10638, 10637, 10636, 10635?\n\"Answer: -y + 10640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2877366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**2 - 4*r**2 + 2*r**2 + (5 + 4 - 6 - 2*r)*(21*r - 4*r + 33*r) in the form b*r + g*r**2 + c and give g.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39913 - 18598. Does 147 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 142 - 82. Suppose -2*q = 7*x - 4*x - m, 0 = -5*q. Let g(s) = 6*s + s**2 + 20 - x. What is g(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -114 + 68. Let f = 62 + w. Solve -d + f = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -238 in 0.1, 0, -25, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - -6. Let g = 8.9999872 - h. What is g rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1518, -1545, -1636, -1827, -2154, -2653, -3360, -4311?\nAnswer: -5542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 214613630 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 4*y + 13. Let v be g(-6). Solve 0 = -s + 4 + v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30287?\nAnswer: 31, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/((-270)\/12) + 1174\/(-18). Let o = r - -67. Solve -4*q - o*a + 8 = -5*q, 4*a = 5*q + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3683*n**2 - 2. Let j(w) = -33762069*w**2 + 18335. What is 2*j(k) + 18335*l(k)?\nAnswer: 3667*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-20) - (-18)\/40. Let z = -0.8608 + 0.9608. What is the closest to z in 6, 0.5, m, -0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of -o**5\/90 - o**4\/12 + 18*o**2. Let x(y) = 0. Calculate y.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528.5523 decades in months?\nAnswer: 63426.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3620 and 4780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 2*h = -2, -18 = -74*y + 69*y + 2*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -99, -120, -161, -228?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 - 6. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134149708 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -39, 1, 0 in decreasing order.\nAnswer: 1, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 9*y**2 - y + 10. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = t - 8, 20 = 5*t - 0*t - 5*j. Suppose -3*b + 23 = -4*d, -5*d - 5*b = -t*b - 5. Let k = -2 + 3. Sort k, -3, d in increasing order.\nAnswer: -3, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 171050542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9126 divided by 6?\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1076 - -1089. What is the remainder when 829 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -7\/12765  (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46 - 42. Solve -d = d - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 18*b + 10. Let h(p) = -6*p - 3. Give 10*h(g) + 3*t(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 83 + -159. Let f = 80 + x. Calculate the remainder when (-3 - (-23)\/3)\/(4\/6) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + m**2 + 12*m - 6. Let i be r(3). Suppose -5*u + 295 = -3*c, -3*u - 5*c + 165 = -i. Let d = -52 + u. Solve 4*z = -d - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 893.546um?\nAnswer: 893546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1270 or 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r + 909. Let l(m) = 28097*m. Give a(l(s)).\nAnswer: 56194*s + 909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7822531267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(396)*-1)**2 + sqrt(88)\/(sqrt(32)\/sqrt(4)) + (sqrt(11)*-2)**2*1.\nAnswer: sqrt(11) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 24*i**2 + i - 19. Let u be j(24). Solve 0 = -2*s + u*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*d + 328 = 54*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/6479 and 34\/64201.\nAnswer: 706211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69804 divided by 9.\nAnswer: 7756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 + 37. Suppose -4*g - u = -15. Solve -2*y - 5 = -4*w + 17, 10 = g*y + 4*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -92 - 18?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1740 - 1704.69. Let n = d + -35. Let g = 0.09 + n. What is the third biggest value in g, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (97*d - 116*d - 3 + 5)*(-5*d**2 - 4*d**2 + 4*d**2) to r*d**3 + q*d + u*d**2 + w and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 380.4 + -429. Let f = 77 + -24. Let o = f + q. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**3 - 6*p**2 + 4*p - 1. What is the tens digit of o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42 times -0.01\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -17*s + 18*s, 0 = -v + 3*s + 56. Let b be 130 + (0 - (-1 + 1)). Calculate the highest common divisor of b and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3913.554 decades to millennia.\nAnswer: 39.13554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.97 - 0.03. Let u = -2\/355341 - -50767\/710682. Which is the third biggest value?  (a) p  (b) u  (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 - 7 = 4*d - 2*y, -2*d - 3*y - 19 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 9*t**3 + 3*t**2 - 6*t + 2. Let n = 55 - 53. Let f be k(n). Let x = f + 186. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -351*b**2 + 154*b**2 - 123*b**2 - 5*b - 570*b**2.\nAnswer: -890*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -0.5  (b) 6  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260939.\nAnswer: 7, 37277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -206*q + 296 wrt q.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164496*l + 946 = -164453*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-3 - (-7 - (-7 - -3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -26. What is the nearest to 2 in n, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41\/(-168) + (-35)\/840\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 2 + 8, 4*y = 3*r - 11. Which is greater: 1\/6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644759.46 rounded to the nearest one hundred?\nAnswer: 644800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2\/7 - 209*f\/7 = 0. What is f?\nAnswer: -209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*j + 23*j - 3*l - 7, -j - 3*l + 8 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 5447088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47861500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - r**2 + 39. List the prime factors of o(0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73564*f**4 + 4*f**2 - 3*f - 131 wrt f.\nAnswer: -1765536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-4\/17)*w)\/w)**(-4)*(w**(3\/17)*w)\/(w*w*w*w**19*w))**(1\/50) assuming w is positive.\nAnswer: w**(-91\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 122*k - 13. Let g = 61 + -57. Let i be j(g). Suppose -3*s - 115 + i = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*o - 2*u - 199 = 0, o = u + 38. Differentiate -84 + o - 109 - 26*h**2 - 35*h**2 + 0*h**2 wrt h.\nAnswer: -122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -87 or -265\/3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83 - 82. Suppose 4*y + 5*l + 181 - 38 = 0, 0 = l - n. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2088625.739 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 5760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((10735\/(-114))\/(36\/(-54)))\/((-25)\/20).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -17 + 32. Which is bigger: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12, -35, -70, -117, -176, -247?\n\"Answer: -6*n**2 - 5*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/9 and -23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/10617 and 20\/1489919.\nAnswer: 4469757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2857*k - 119983. Give y(42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41146 (base 10) to base 12.\nAnswer: -1b98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 7*c - 14. What is k(12)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -13a58 (base 12) to base 9\nAnswer: -41555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 55370563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 1:20 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7, 4, 42.\nAnswer: -7, 3, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 24481.08 hours?\nAnswer: 88131888000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3462 at least 65751\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40076 is divided by 129.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/8)*(w\/(w*w*w**(-2\/15)))\/w*w**(-9)*w\/(w\/(w\/(w\/(w*w**(4\/13)*w)))) assuming w is positive.\nAnswer: w**(-13547\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*(-15)\/2 - (-920)\/1840?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-76)\/(-57)*(-2805)\/(-2). Suppose a = 5*z - 5*y, 4*z + y = -0*y + 1511. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-6)\/(-8))\/((-6)\/34) and ((-5586)\/1568)\/(-1 - -10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -9, 7, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -111607 - 0.21.\nAnswer: -111607.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -p. Let k = p + -3. Let b(f) = 12*f**k - 21*f**2 + 7*f**2. Let a(y) = 18*y**2. Give a(b(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 3 = r, r + f - 54 = -53 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*d**2*l**2 + 18*d**2*l - 22231*d**2 + 2*l**2 - 6*l with respect to l.\nAnswer: -6*d**2*l + 18*d**2 + 4*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 936 and 2008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 537*l + 610*l - 1754*l + 604*l.\nAnswer: -3*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -14 - -8) + 3 + 18 + 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2 - i**2 + 3*i**2 - 17*i**3 + 1. Let o = 15 - 16. Let g be h(o). Calculate the greatest common divisor of 36 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 2*d - 10, -4*l + 5 = l - d. Let i = 408 + -412.7. Let p = i + 4.6. What is the nearest to l in p, 5, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*x + 333*x**2 - 496*x**2 + 19*x + 20*x in the form n*x + t*x**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/27*10980\/488*(-1)\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -317112*o**2 - 1154731.\nAnswer: -634224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4 = -y. Let t = 1 + y. Is 1\/t + 43\/3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -46576\/2801 or -18?\nAnswer: -46576\/2801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -8  (b) 2\/11  (c) -4\/5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-10)*(-22)\/((-2552)\/20).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t - 8*t**3 + 2*t**3 + 14*t.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 136554406867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, v: 5}. Give prob of sequence vmmv.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -424, 1860, 4, -5 in increasing order.\nAnswer: -424, -5, 4, 1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15167 and 43181.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + 1*sqrt(250))\/(-2*sqrt(245) + sqrt(245)) + 1)**2.\nAnswer: -12*sqrt(2)\/7 + 121\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-89 + -21)\/(-11) + -7. What is the highest common factor of 879 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -367 + 686 - 3*x - 321 to r*x + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -277175 by 55435.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*b - 16*b - 72*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/(-25))\/(2\/1310). Let x = k - 44. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00266 to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*p - 16. Let y be (-2 - -3 - 1)\/(-2). Solve y = p*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 11*b + 3. Let h(x) = 11*x + 4. Let l(j) = 6*h(j) - 7*t(j). What is the derivative of l(v) wrt v?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26190124 and 17992.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2 - 0. Suppose -s*f + 4*v + 13 = f, 5*f = v - 1. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1267093 = 266*u - 243*u. List the prime factors of u.\nAnswer: 89, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**3 - 8593 + 8593.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4*(45\/(-12) + 3). Let s(g) = -2*g - 1. Let r be s(a). Suppose m + 0*m + r*j = 122, -2*m + 3*j + 257 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 + 12.8. Let x = 11.9944 - w. What is x rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24441411 (base 5) to base 9.\nAnswer: -385858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**2 - 1 + 1 + (64 - 55*u - 64)*(7*u + 10*u + 6*u).\nAnswer: -1267*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (86\/12)\/(13\/78). Put -5, -4, t, 2 in ascending order.\nAnswer: -5, -4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126250 minus -6.1?\nAnswer: -126243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/20 - 416\/65?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 + 4*z**2 + z + 1. Let b be o(-3). Suppose -22 = -5*s + b. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((9*l - 66 + 66)*(-1 + 1 - 2) - 2*l + 4*l - l + l + 1 - 1)*(-3 - 5 + 5).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 171623\/2, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 83, 142, 201, 260, 319, 378?\n\"Answer: 59*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, q: 14}. Give prob of sequence oq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76 and 6441.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4496 + -4497. Which is the second smallest value?  (a) -0.5  (b) 5  (c) 3  (d) l  (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1052 a factor of 12267372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide (-3417 - (-13 - -1))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15618+4\nAnswer: -15614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -8 - (-132 + 1) - (0 + -3). Let r = s + -115. Find the common denominator of -13\/3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3847 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.0187, -1, -2\/9?\nAnswer: 0.0187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 14*l**2 + 13*l + 12. Let t be g(13). Suppose -2*n = -5*n + 3*w - 1410, -t = 4*w. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - ((-13)\/21)\/((42\/(-54))\/7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + q - 4 + 0)*(2 - 2 - 4)*(1 - 3 + 3).\nAnswer: -4*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4271\/1236 + -4\/103. Let w = 56\/14055 + -33131\/84330. Find the common denominator of w and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/4, 857\/2, -1, -1\/6, -0.3?\nAnswer: 857\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 6*w**2 + 3*w**2)*(7166*w - 750 + 750 + 3429*w - 1400*w).\nAnswer: -18390*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.45 - -3.9. Let g = q - -0.55. Let n be 2\/(-8) + (-6)\/(-56). Which is the closest to g?  (a) 1  (b) -0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 11)*(0*d**4 - 2*d**4 + 0*d**4) + (d**4 + 0*d**4 + 0*d**4)*(1 + 0 + 2).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182*r**5 + 284*r**4 - 282*r**3 - 224*r**2 + 40*r = 0. What is r?\nAnswer: -2, -5\/7, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 28 and -1917.\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5, 31, 73, 137, 229?\n\"Answer: q**3 + 2*q**2 + 13*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = 2*s - 303. Let c(u) = 59*u + 1. Let o be c(4). Suppose -f = -2*g + s, 4*g - o = 3*f - 82. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 31*w - 30. Let p be h(-30). Put -2, p, -3 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 8 - 4*l - 2)*(3 + 1 - 2) to n*l + d and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-4) - (-58)\/8. Suppose 0 = -2*c - 4*q + 30, -2*c - 2*q + 27 + a = 0. Calculate the remainder when (-3096)\/(-2580) + 179\/5 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = g + 68 + 155, 3*l + 129 = -3*g. Let n = 67 + l. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 9. Suppose -h = -2*m - 2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/16 and 97\/552?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -1 + 6 + 331*d**3 - 332*d**3 - 6*d**2. Determine x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -4*r**2 - r. Let h be l(-1). Let p = 4 + h. Suppose 0 = -5*b - 266*u + 263*u + 67, 0 = -5*b + 3*u + 73. Solve 0 = 3*y - b - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 1 + (-2 - -17 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/2)\/(-14 - (-1312)\/80). What is g in g + y - 1\/4*g**2 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5670, -6, 0.1 in decreasing order.\nAnswer: 0.1, -6, -5670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 59*y**2 - 126*y + 241. Let h be k(61). Let r = -13.9 - -14. Which is the nearest to h?  (a) -2\/9  (b) r  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6870)\/2061*((-4)\/80)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyevyvee. Give prob of sequence ye.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gvgv when four letters picked without replacement from yyaaggvhvagaahvgahyv.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1 - 6\/(-9)). Suppose -3*n + 0 = 5*x - d, -5*n - 29 = -3*x. Solve 2*q - 5*o - x = 0, -4*o + 3 = -q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -227 - -572. Let b = 6468 + -6827.3. Let j = b + s. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -449*p = -440*p - 45. Let m(r) = -2*r**3 - 6*r**2 + 3*r - 6. Let a(x) = x**3 + x + 1. Let f(q) = 3*a(q) + m(q). What is f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -68\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 12*p + 8. Let n be m(12). Suppose -3*v = v - n. What is the third derivative of -5*l**v + 4*l**2 - l**5 + 5*l**5 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -88 - -88. Let x = -0.1 + 0.6. What is the third smallest value in x, c, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(4\/7)*d*d**(-5\/3)\/d*d*d*d*(d**(-1)\/d)**48*(d**(3\/10)\/(d**2\/d))\/(d**7\/(d*d**(-1))) assuming d is positive.\nAnswer: d**(-21377\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {o: 4, c: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**2 - 4*q**2 + 5*q**2)*(-4*q - 3*q + 0*q) + (-4*q**2 + q**2 + 2*q**2)*(-2*q - 4*q + 4*q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 19 + 1 = 0. Let q = d + -5. Suppose -k - k - q = a, -k = a + 1. Are -2\/3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1403, 1125, 665, 23?\n\"Answer: -91*v**2 - 5*v + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 31. What is the lowest common multiple of 2 and (2 + 8)*-6*b\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8599 + 42993\/5. Let q = 51\/2 - 25. Is q greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -561 = -5*z + 2*z. Suppose 30*v - 113 - z = 0. Calculate the remainder when 17 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 7*u + 1. Let t be f(4). Let o = t - -29. What is the lowest common multiple of 2 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 11*m**2 - m - 4. Let z be o(-3). Suppose 3*v + 28 = 5*v. What is the greatest common factor of v and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b**2 + 263*b - 17385. Determine h(39).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (62 + -49 - (3 - (4 - 69))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (35\/21)\/5 - 919903\/2758800. Let s = -6\/2299 - n. Are s and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 - -2.23. Let x = v - -1.7. What is the closest to 1 in -0.2, -1, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*h - 13613 - 7587. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/2)\/(5*(-3)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 13021395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h**7\/h)*h**(-9)*h)\/(h*h**(3\/2))**(-22) assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l - 4 + 0 - 2 + 15*l. Let z(d) = 9*d - 5. Let s(m) = -2*n(m) + 3*z(m). Let a(j) = -j. Determine a(s(f)).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 19.5 - -20.189\nAnswer: 39.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2 + 13. Suppose 0*m - 585035 = -s*o + 4*m, 4*m - 389990 = -2*o. Suppose -3 = -2*l - l, 3*b + 5*l - o = 0. Round b to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -4*w**3 + 47*w + 46. Suppose -11 = 3*x + 4*v, 1185*x - 1189*x + 5*v + 6 = 0. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -565 (base 7) to base 14.\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-1983)\/(-25779))\/(8\/(-78))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-30) + 18\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/80 and 23\/5424.\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 162, 311, 466, 627, 794, 967?\n\"Answer: 3*w**2 + 140*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -23. Let t = -299.91 - -300.01. Let g = -3 + 0. Which is the second biggest value?  (a) z  (b) g  (c) 0.08  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -223890, -447307, -670724, -894141, -1117558, -1340975?\nAnswer: -1564392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-116)\/(-290)*(-5)\/(-6). Which is the nearest to z?  (a) -0.2  (b) 0  (c) 4\/3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 0, 17, 50, 105, 188?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 480 + -476. Let w = -9.8 - -4.6. Let x = 5 + w. Sort -4\/7, x, d in descending order.\nAnswer: d, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23855 is divided by 437?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 11 + 7\/(-3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 161360994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -8785?\nAnswer: -8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 668 = -4*s, -4*u + 1044 = -4*s - 1708. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 3*n = 11992, 4*o - n - 1552 = 8043. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 10 = -11. Calculate the least common multiple of h and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3136.035 + 3136. Put -1\/3, -2, u in descending order.\nAnswer: u, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 10:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (20 + 0 - (27 - 24))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 302 = 6*a + 5*y, 0 = -5*a - 3*y + 755. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {m: 4, l: 3, j: 2, a: 6}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 + 31 = -7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.6 in -12, -4, -619\/3, 3, 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/3)\/(2\/(-96)). Let v = 18 - f. Is 2 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m - 4*m + 4*m)*(4 - 6 + 3 - 35*m) to g*m + o*m**2 + s and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -2  (c) 11  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*u - 12 = 0, 6*u + 16 = 2*u. Let o(i) = 7*i + 56. Let z be o(l). Suppose 4*n - 672 = -4*x, z = -x + 4 - 2. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 4*r + 5. Let s(d) = -2*d**2 - 13*d + 11. Let g(p) = -4*p**2 - 27*p + 22. Let z(h) = 4*g(h) - 9*s(h). Let m(v) = 5*i(v) + 3*z(v). Give m(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18153 is divided by 2506.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10745814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30 and 32.8?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, x: 1, a: 4, y: 1, s: 3}. What is prob of picking 1 x, 1 s, and 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -116 - -115. Put k, -4, -2, 0 in descending order.\nAnswer: 0, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156429 is divided by 12030?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of -4549*g**4\/12 - 3380*g**3\/3 - 11128*g**2. What is the first derivative of t(k) wrt k?\nAnswer: -9098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221320031111 (base 4) to base 10\nAnswer: 10978133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 12:36 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 3. Let g = 43.572 + -0.072. Let m = g + -43. Sort m, v, 7 in descending order.\nAnswer: 7, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 1066585*t + 4266348. Give l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1363*u**3*y**2 - 63*u**3 - 32*u*y**4 + 98*u*y + 2*y**3 + 2*y wrt y.\nAnswer: 2726*u**3 - 384*u*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2270800 rounded to the nearest ten thousand?\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -248248 by 14.\nAnswer: -17732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*i**3 - 37509*i**2 + 37509*i**2)*(-9 - 11 + 2).\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8005 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4558 is divided by 1046.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/1595 and -3\/290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2911, -5623, -8335?\n\"Answer: -2712*o - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*p + 4. Let k be 1\/((-24)\/27 - -1). Suppose -k*q + 29 = -7. Solve -p*l = -q - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 170223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 7 and 1513.79.\nAnswer: 1520.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.5 - -2.7. Let w(r) = -r**3 - 9*r**2 + 1. Let s be w(-9). Let a be s\/(35\/10) - 2\/7. Is a smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5600928 * -0.3\nAnswer: -1680278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1523516.\nAnswer: 2, 380879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 1:27 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -50?  (a) -2  (b) -0.1  (c) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 6551947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 1.5. Let c = 616 - 621. What is the biggest value in -0.17, -2, c, p?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)\/sqrt(3))\/sqrt(9) + sqrt(2) + sqrt(24)\/(sqrt(12) + sqrt(1452)).\nAnswer: 25*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ieeeviivvvv. Give prob of sequence vev.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a**2 - 367*a + 225. Let i be f(-74). Solve -7*u = i*c - 3*u + 3, -3*c = 5*u + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n**3 - 10*n**2 + 7*n + 4. Let f(a) = -7*a**3 + 20*a**2 - 14*a - 6. Let o(t) = -2*f(t) - 5*r(t). Calculate o(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.1, -0.2, -1\/4, -51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1.4, -24, -0.4, 0.045 in increasing order.\nAnswer: -24, -0.4, 0, 0.045, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, g: 6, v: 7, i: 4}. Give prob of sequence viiv.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 4*n + 16, -2*n = -2*q + 2 - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h**3 + h**2 + 3*h + 17651. Let f(d) = -d**2 - d + 2. Let l be f(-2). Is w(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhfe when four letters picked without replacement from {e: 4, f: 2, h: 4}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 63804, 63843, 63882, 63921, 63960?\n\"Answer: 39*u + 63765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 44. Suppose 2*s - 16 = -6. Solve -s = z - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 7. Suppose 0 = -t*z + z. Suppose 0 = 2*c - 4*h + 12, z*c - 3*h = 3*c - 27. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -10450, -10490, -10602, -10822, -11186?\n\"Answer: -6*d**3 + 2*d - 10446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7592*d*t - 388*d + 2 with respect to t.\nAnswer: 7592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjjmjxxsmxjxjjm. Give prob of picking 2 m and 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 32*b**2 - 464*b - 1096. Determine r(43).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.5  (b) -29  (c) 8  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/60)\/((-2)\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 13, 3, 9\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 295\/13 + -4637\/182. Let s = 2745\/2 + -1332. Calculate the common denominator of s and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4 + 463910*t**3 + 1391700*t**2 + 1391690*t + 463895.\nAnswer: 5*(t + 1)**3*(t + 92779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 12:10 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-3\/7))\/b)\/(b**(-5\/2)\/b))**(-1)\/(b*(b*b*b*b\/b**(-2)*b)\/b*b**3*((b*b**(2\/13))\/b)\/b*(b*b**(2\/15))\/b) assuming b is positive.\nAnswer: b**(-33739\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, u: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 34*q**2 + q - 3. Let p be z(34). Let s(x) = -3*x + 217. Let d be s(0). Calculate the highest common divisor of p and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**5\/120 - 7*h**4\/48 - 3*h**3\/2 - 9*h**2 - 4. Factor k(g).\nAnswer: (g - 9)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 51*z**5\/4 + 30237*z**4\/4 - 3711*z**3\/4 - 90813*z**2\/4 - 12450*z + 1779 = 0.\nAnswer: -593, -1, 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(21)\/(-3*sqrt(3)).\nAnswer: -1 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1000 is divided by 208.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 15 + 4*v - 27 as u*v + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 0 - (-3 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10768, 21640, 32674, 43930, 55468, 67348?\nAnswer: 79630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2685, 3679, 6603, 12423, 22105, 36615?\nAnswer: 56919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) -0.2  (c) 7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527306755.\nAnswer: 5, 89, 1184959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c - 3*c = -4*q + 4, 5*q + 3*c - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 + 0)*(2 - 3 - 2) + 1 - 2 - 2)*(-2*q**2 + 5*q**5 + 2*q + 0*q**2 + 3*q**5).\nAnswer: -72*q**5 + 18*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**3 - 3*o**3 + 4*o**3)*(2*o + 2*o + 7*o) + (4 + o**2 - 4)*(14*o**2 - 19*o**2 + 2*o**2).\nAnswer: 41*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3.6801?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(3))*-4 - (sqrt(189)\/sqrt(7))**2) + (-4*sqrt(33)*-2)\/(-6*sqrt(176) - sqrt(11)) + 4 + -2.\nAnswer: -29 - 108*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 27144 divided by -3393\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 880873562*s**2 + 6576*s - 27728 wrt s.\nAnswer: 1761747124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(135))\/(sqrt(189)\/sqrt(112)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 4:07 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-22)\/(-165) + 1\/5. Which is the nearest to -6?  (a) -0.2  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/285 and 47\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -366*m + 9764 = -364*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6*j - 1 + 1)*(5 - 5 + 1) + (12 - 29 + 1)*(2*j + 2*j - 2*j))*(17*j + 3*j**4 - 17*j).\nAnswer: -78*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 200176 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3646352135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.000101 + -11. What is v rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 493 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 913389 and 510673?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -170 (base 11) to base 4.\nAnswer: -3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -2 + 0*c**2 + 3*c + 2\/3*c**3. What is the derivative of l(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8841629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4877437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 22*b - 25. Let m be x(4). Let c(s) = m*s - 31*s + s**2 - 28*s. Let i(o) be the third derivative of -o**5\/60 - o**4\/24 + o**2. What is -c(h) - 2*i(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 3*i = 22, 0 = 4*g + 3*i + 72 - 52 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -3 - 3) + 0 + -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34080321 to the nearest integer?\nAnswer: 5838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 k, and 2 p when four letters picked without replacement from ppggkkgppgkprpkg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -94 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -527395 <= -527395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5375822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1015260900 to the nearest one million.\nAnswer: 1015000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*k + 1)*(-6 + 2 + 21)*(-2 + 2 + 24).\nAnswer: 816*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -18*j + 45. Give s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.2, 37, 4, -74, -406?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6296.141 millimeters to micrometers.\nAnswer: 6296141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -96*s**3*z**5 - 13*s**3*z**4 + 2*s**3 - 30*s**2*z - 14*s*z**2 wrt z.\nAnswer: -5760*s**3*z**2 - 312*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 11*h**2 + 5*h - 29. Calculate t(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttmtmmhtmtmttmt. Give prob of picking 2 t.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 236 and 4012?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3 - 5 = 0. Suppose -m = -4*d + 12, -4*d + 12 = -4*b. Find the third derivative of -3*j**6 - 5*j**b + 7*j**2 - 4*j**2 wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35*43\/(-12040))\/(1\/296)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/207 and -5\/69?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 - 20. Suppose -2*a + 8 = g, -a = 4*g + g - 22. Solve f = g*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5490?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {p: 4, r: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -77 + (-4 + 82 - -34)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -c, 0 = 3*c - 7*c + 3*h + 46. What is the remainder when 83 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -321 divided by 107\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -1852*l**3 - 7*l**2 - l - 8. Let x(r) = -1853*r**3 - 5*r**2 - r - 6. Calculate 3*t(m) - 4*x(m).\nAnswer: 1856*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 26026 (base 9) in base 13?\nAnswer: 7c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 4630308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -943\/12 - -238\/3. What is k in -9\/8 - 1\/8*k**2 - o*k = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 1:25 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4))**(-25\/2)*g**(1\/14)*g*g\/(g**(-1\/3)*g))**(3\/40) assuming g is positive.\nAnswer: g**(2159\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10222010100 + -11?\nAnswer: 10222010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15369\/4 + 3843. Let 3\/2*i + 0 + n*i**2 = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25 - -21)*(1 - 17\/(-4)). Let p = 46 + r. Calculate the greatest common divisor of 175 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403 + 403 + 50*v**2.\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484*h - 1448 = -240*h. Factor 0 + 12\/5*f - 3\/5*f**h.\nAnswer: -3*f*(f - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 78, 66, 52, 36, 18, -2, -24?\n\"Answer: -f**2 - 9*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -2 + 5 - -3 - (-3155 + 3227)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*h = 1, -2*v + 7*v = -5*h - 15. Let l = 0.271 + 1.729. Which is the fourth biggest value?  (a) 3\/2  (b) l  (c) v  (d) -76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*d**2 - 17*d**2 - 82*d**2 as l + o*d**2 + g*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s + 4 = -8*s + 2*q, 5*s - 3*q - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 10348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1\/4, -1\/2, 0, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s**2 + 6. Let r(k) = -2*k**2 + 6. Let j(u) = -3*c(u) + 2*r(u). Let x(d) be the first derivative of j(d). Let l(m) = m**2. What is l(x(y))?\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 112 - 233. Let l = -117 - g. Which is the second biggest value?  (a) l  (b) 2  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 9*j - 6. What is o(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m*m*m**(-2\/9))*m\/m**0)\/m**(-23)*(m*((m\/m**5)\/m)\/m*m)\/m**(3\/4)*m**(-4)\/m*m*m*m*m**2 assuming m is positive.\nAnswer: m**(629\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1869291.\nAnswer: 3, 69233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**4\/5 + 22868*z**3\/5 - 13716*z**2 + 68572*z\/5 - 22856\/5.\nAnswer: -4*(z - 5714)*(z - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h**2. Let q(y) = 3*y - 2. Let m(b) = -10*b + 7. Let n = 8 + -1. Let r(l) = n*q(l) + 2*m(l). Determine r(u(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -669\nAnswer: 2\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 12*h - 50*h + 14*h + 12*h + 4 + 11*h. Suppose z - d + 3 - 6 = 0, -3*d + 3 = z. Give y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - 121*w - 2135. Calculate r(-21).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**2 + 4*j**2 + 4*j**4)*(-5 - 1 + 3)*(0 - 1 + 0).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 7788804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 4*f - 4433, 4*f - d = 2467 + 1960. Is f a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -s - 10. Let b be 1*(2 + s - -9). Calculate the common denominator of -17\/8 and (-2)\/b - (-5365)\/450.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*m + w - 122, -4*m + 268 = 4*w. Let u be -12*((-7)\/4 - -1). Suppose m - u = 3*z. Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 e when four letters picked without replacement from zeeeez.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 - 4*g. Let r(m) = -3*m**2 + 7*m. Let w be (-3)\/(-2) - 28\/(-8). Calculate w*z(f) + 3*r(f).\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -103077 or -103018?\nAnswer: -103018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 6*j = 3. Let l(f) be the first derivative of 8 - 11\/3*f**3 + 0*f**2 - f. Give l(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -307*j**2 - 36*j**2 + 4*j**3 - 2*j**3 - 15*j**2.\nAnswer: 2*j**3 - 358*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**2 + 5 - 3 - 2 + 2 + 6*a**3 + 2*a**4 to d + x*a**3 + h*a**4 + w*a + g*a**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from mxxmmmmmmm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 2220.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56893 is divided by 103.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**2 - o**3 + 3*o**2)*(-17*o**2 - 14*o**2 + 4*o**2).\nAnswer: 27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70*m + 84*m**2 + 10*m - 3*m wrt m?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 5*j - 8. Suppose -3*d - 42 = 3*p - 15, d - 3*p = 11. Calculate the remainder when 12 is divided by -14*(j\/d + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -103\/4, -1, -7\/3, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -59.29  (b) 4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1.1  (b) 2\/3  (c) 33  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -41, -73, -117, -173, -241, -321?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-6 - -13) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d + 2. What is the smallest common multiple of i(-2) and 2 + 16 + 7\/(28\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p + 5*p - 2*p + (1 + 0 - 3)*(0*p + 2*p - 4*p) + 8*p + p + 3*p + 2*p + 2*p - 6*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 - -1617.\nAnswer: 1617.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + 0)**2 + 0 + 4*sqrt(52) + 1 + sqrt(52) + sqrt(52) + -1 + sqrt(52) + 0 + 3 + -3.\nAnswer: 14*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -263*p**7\/30 + 985*p**3\/6 - 629*p**2. What is the first derivative of t(n) wrt n?\nAnswer: -7364*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67.54 - -1.54. Let r = -2.93 + -64.47. Let t = s - r. Is 0.2 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -4*c. Let z be -1 + c - (0 - 3). What is the derivative of 6*b - 11*b + 5 + 6*b**z + 5*b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 686719 divided by -686719?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5256 and 2664.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 231403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/((-1)\/3*609\/174*12\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 1:25 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -279*h**2 + 552*h**2 - 273*h**2 + 315*h**3.\nAnswer: 315*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*y + 58*y - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from exxezxp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.4, -54, 0.3, 142?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*j*m**4 + j*m - 30*j*q + 2*m**5 - m**2*q**2 - 7*q**2 wrt m?\nAnswer: 324*j*m**2 + 40*m**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 272.5414 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -2*f - 3*f. Suppose -o + 3 = 4*m, m = 4*m + 5*o + f. Suppose -9 - m = -i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 4.99. Let v = p + -0.41. Let b = 0.61 - 1.61. What is the second smallest value in v, b, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q - 11226 + 2829 = 0. Let t = q + 341. Calculate the highest common factor of t and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 4*p**3 + 3*p - 3. Is k(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -835, -1321, -1807?\n\"Answer: -486*y - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*h + 5 - 72*h + 201*h - 63*h + 9*h**2 + 11.\nAnswer: 9*h**2 - 4*h + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n**2. Let h(w) = 666*w**2. Calculate h(g(x)).\nAnswer: 10656*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*j**2 + 84*j**2 + 4*j**2.\nAnswer: 176*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3977, 7590, 11207, 14828, 18453?\n\"Answer: 2*j**2 + 3607*j + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 9*v - 1\/54*v**4 + 4 + 5\/27*v**3 - 4\/9*v**2. Factor u(z).\nAnswer: -2*(z - 4)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -831888135409\/67190900 - -78\/2399675. Let x = z - -12377. Calculate the common denominator of x and 5\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 2\/2431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*h = -h - 24, -2*h - 10 = -2*n. Suppose 0 = f + n*k + 18, 0*f - 4*k - 28 = -4*f. Which is the third biggest value?  (a) -3  (b) f  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45 - -78. Let s = -23 + d. Let v = s - 13. What is the third smallest value in v, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.74 - -479.\nAnswer: 478.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13081\/5 - -2616. Which is the nearest to h?  (a) 1  (b) -0.2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -3. Let m be (-2)\/(-7) - (h + 0). Which is the closest to m?  (a) -4\/7  (b) 0.5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by -3165\nAnswer: 17\/3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 108760 = 5*a, a - 6*u - 21756 = -8*u. What are the prime factors of (-18)\/(-270) - a\/(-30)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 2, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 3 + 23*h**2 - 15*h**2 - 2*h - 5 + 0*h to s*h**2 + f*h + w and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 10*d - 11. Let p be c(8). Let s(q) = -2*q**2 + 2*q - 8*q + 0*q. Let u(h) be the first derivative of -h**2\/2 + 1. What is p*u(m) - s(m)?\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 4  (c) -44  (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 3*o + 22. Let l be a(6). Solve -l*m + 14 = f - 3, f - 12 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 7. Calculate s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1360*v**4 - 427*v**3 - 135*v**2 - 572672*v.\nAnswer: 32640*v - 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2274 + -15916\/7. What is the nearest to 0.4 in m, 2\/151, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 9*k + 756. What is the remainder when d(5) is divided by 253?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(5) - (sqrt(125) + 1)) + sqrt(605)*-6).\nAnswer: 6 + 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/9, 11, 50\/9, 2, 11\/6, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9400402 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 251852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4226 to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14958 - -15103. Let n = 161 + -111. Calculate the remainder when y is divided by n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8391278.\nAnswer: 2, 7, 43, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65239, 3, -4, 4, 2, 5.\nAnswer: -4, 2, 3, 4, 5, 65239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 14 = -3*f, -4*f + 68*h = 67*h - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -24. Suppose -3*r + 4*b = -154, 0*r + 96 = 2*r + a*b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 11:40 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211 + 913 = 97*o + 20*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289*l + 155*l - 2*l**3 - 2 + 4*l**3 - 584*l.\nAnswer: 2*l**3 - 140*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 23*z - 27504. Suppose -448*s + 454*s = z. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106*x - 59*x - 3*x**2 - 47*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333.0882 litres to millilitres.\nAnswer: 333088.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q**2 - 11*q**3 + 9*q**2 - 28*q**3 - 43*q**3.\nAnswer: -82*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33913 - -33933. Solve 30 = 5*h - o*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - 11 - (7 - 18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 6. Let g(v) = -11*v**2 - 3*v. Let b(o) = 7*o**2 + 2*o. Let d(h) = 8*b(h) + 5*g(h). Let i be d(-1). Calculate x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 5387.\nAnswer: 5387.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (193 - 183) + 1 + 2 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100423465.\nAnswer: 5, 71, 457, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2 + 9*j + 2. Suppose -3*i = -5*p - i - 24, -5*p - i - 33 = 0. Let m be o(p). Let w = m - -2. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w + 552 = 6*w. Solve w = -4*y - 2*g, y - 2*g + 12 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 65081550 to the nearest 100000.\nAnswer: 65100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13049.9632 plus 0.3?\nAnswer: 13050.2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**4\/6 + 2*u**3\/3 - u**2\/2 + 3*u. Let h be ((-18)\/54)\/(1\/(-18)*-2). Let w be n(h). Solve -3*m + w = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a87992 + 2?\nAnswer: 1a87994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112 - 154 - 46)*(q + 1 - 1).\nAnswer: -312*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 15 = -g - 5*f, g = -f. Let v be g\/((-3)\/18 - 0). Calculate the greatest common divisor of v and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 2*z = -6*z + 10, 16 = -l + 5*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-428 + 3*q**2 - 9*q**2 + 377)*(-7 - 3*q + 7) to the form f*q**2 + y*q + d + i*q**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -7. Let r(a) be the third derivative of -1\/120*a**6 + 1\/10*a**5 + 0 - 1\/24*a**4 - 1\/6*a**3 + 0*a - 2*a**2. What is r(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 (base 6) in base 15?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.089, -6156, -116.\nAnswer: -6156, -116, 0.089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01993486 to 5 decimal places.\nAnswer: 0.01993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -6*v - 56. Suppose -2*i = 3*b + 14, 54*b = 52*b + 3*i - 31. Give k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(2057)*-5 - -2*(sqrt(2057) + -4))**2.\nAnswer: -4752*sqrt(17) + 1499617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -202*g + 27. Let w be k(-16). Let c = w + -1822. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -12*h**3 - 4*h**2 - 11*h - 2. Let c(v) = v**3 - 6*v**2 + 7*v - 13. Let i be c(5). Let k be a(i). Calculate the highest common factor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1392161?\nAnswer: 349, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4*g + 16. Let c be l(-2). Suppose 0*q + k = 3*q - 1081, -c = 2*k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 55899 at most 2739078\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1, 88, -4, -90 in increasing order.\nAnswer: -90, -4, -1, -0.3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 527813.2 millilitres to litres.\nAnswer: 527.8132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/3 - (8\/6)\/4. Find m, given that -17*m - 7*m + 2*m**2 - 1 - j*m**2 + 20*m = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 7*x**2 + 6*x + 2. Let r be p(-6). Solve 3*u + 3*t - 1 = 29, 4*u - 10 = r*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/(g*g**(-2\/15)*g))\/g**(-1\/8))\/((g*g\/(g*g*g*g**13))\/g**(3\/20)))**(-1\/3) assuming g is positive.\nAnswer: g**(-1729\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 4*j - 25. Let p be g(7). Suppose -p - 24 = -3*y. Suppose 0 = -3*u + b + 4 + y, -u + 1 = -b. Calculate the highest common factor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12666 + -12654 - (2 + 1 + -4 - -114)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.14 - -2.14. What is the closest to 1\/2 in c, 15, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*l + 188 = 18*l. Let j(o) = l*o - 146*o + 14*o. Let u(x) = -2*x. Determine j(u(i)).\nAnswer: 170*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0499669 >= -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223028 is divided by 74338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28655 - -28656. Let l = -5 + 5. What is the third biggest value in l, w, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 4*c - 1717. Let k(i) = 3*i - 1145. What is -7*k(j) + 5*w(j)?\nAnswer: -j - 570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2904)*3 + sqrt(2904) + sqrt(2904)))\/((sqrt(12) + (sqrt(1296) + sqrt(36))\/sqrt(3))*-4).\nAnswer: 55*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 0. Let m be (-4)\/6 + (-20)\/(-15). Let s = 0 + 3. Which is the nearest to x?  (a) -0.1  (b) m  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*z - 4*z - 9*z + 3 - 3 - 10*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*r**3 + 5*r**4 - 2 - 33*r**3 + 2*r - 2*r**4 to the form d*r**3 + h*r**2 + q*r + w*r**4 + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2369*t**2 - 3690*t**2 - 3160*t**2 - 3194*t**2 + 2 + 1687*t**2 to z + d*t**2 + f*t and give d.\nAnswer: -10726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6833*d**2 - 6085?\nAnswer: 13666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5186652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-120)\/390)\/(8\/(-52)). Solve 0 = 4*t - m*h + 16, 8*t - 3*h - 31 = 13*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 124, 266, 464, 718, 1028, 1394?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -62668.03 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30669439*c + 30669463*c = 1416 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 48528843 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 38?  (a) -3\/2  (b) -5  (c) 5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 + 32. Solve -w*y - 3 = 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8581489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b = 5*b + 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 62, 63, 64?\n\"Answer: v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 8*j**2 + 8*j - 5. Let n be q(-9). Suppose -2*r - 4*s + 244 = 0, r - n*r + 368 = 5*s. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -70, 3, -5, -4 in descending order.\nAnswer: 3, -4, -5, -24, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*((-16)\/3)\/(-4). Suppose 0 = m - 4*m - 4*i + 12, -2*m + l = 4*i. Let t(r) = r - 2. Let a be t(m). Solve 4*d + 6 = -a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppq when four letters picked without replacement from ppgqqppqqqqpqpgp.\nAnswer: 7\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/23, -5, 3, 1.\nAnswer: -5, -1\/23, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 339517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*z + 40*z + 1 - 1.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 136063 divided by 1\nAnswer: 136063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (480\/(-10))\/((-10)\/1)*16\/(-24)*10\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oujunjffz. What is prob of sequence uu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -40*a - 242. Give o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 3:53 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k - 2*k + k + 2*k - 4*k + k + (1 - 1 + 1)*(1 - 1 - 3*k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.63 + -0.37. What is the third biggest value in -1\/2, -3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o - 1. Let f(y) = -9*y + 2. Let c = 227 - 222. Let m = 2 - -3. Suppose m*d + 10 = 0, -2*d - 5 = -r - d. Calculate c*x(q) + r*f(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -27*i + i + 175 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 - 421\nAnswer: -420.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3373.9 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/5 - 1590*c + 204672\/5.\nAnswer: 3*(c - 2624)*(c - 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**2 + 4 - 4 + (0*j + 4*j - 6*j)*(-3*j + 2 - 2) - 101*j + 199*j - 2*j**2 - 103*j + 3 + 3*j**2 - 3.\nAnswer: 9*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 2*g**3\/15 - 4*g**2\/5 - 302*g\/15 - 96\/5 = 0.\nAnswer: -9, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**5\/17 + 42*z**4\/17 + 150*z**3\/17 - 722*z**2\/17 + 48*z - 288\/17 = 0. What is z?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*d - 16923 + 16923 - 17*d**2)*(0*d - 4*d + 6*d).\nAnswer: -34*d**3 - 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 6*i - 3*i. Let f = -2 - i. Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 11:16 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*q**2 - 4*q**2 + 10*q**2)*(17 - 5 - 1) + q**2 - 6*q**2 + 3*q**2.\nAnswer: 185*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**2\/11 - 14*y\/11 - 36\/11 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 45.03155.\nAnswer: 22.515775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g - 2. Let m(v) = 2*v - 2. Let z be m(2). Let d be t(z). What is the remainder when 23 is divided by (4\/d)\/(2\/24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 4*v + 1\/8*v**4 - 7*v**2 - 1\/60*v**5 - 1\/2*v**3 + 0. Calculate s(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62 + 16. Suppose 60 + 12 = -4*u + 4*s, -s = 3*u + 54. Let q = z - u. Which is greater: -27 or q?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171 + 79 - 4*q + 87.\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**4 + 4*y**4 + y**5 + (-2*y**2 - y**2 + 0*y**2)*(-62805 + 62805 - 216*y**3).\nAnswer: 649*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -654 (base 7) in base 3?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100 (base 2) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 4*q + 4684, -3*k + 5*k = 2*q + 1870. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 229920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7216077 years to centuries.\nAnswer: 0.007216077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22145 (base 14) to base 9\nAnswer: 135242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 285 by 5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 730 and 42048?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 5.4, 158, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1132 - 1127 = -u. Let z be (-9147980)\/(-6 + 2) - u. What is z rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28396690 divided by -5679338.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.81 at most 10\/182863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = 3*w, -w - 55 = -4*p. Let c be (-4)\/(-3)*21\/p. Solve -1 = 2*y - 3*y + n, c*n = -y + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21626 is divided by 21621.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -305 + 2132\/7. Which is the smallest value?  (a) -1  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 50 + (5\/(-10))\/((-2)\/8). Let w = -52 + d. Solve 2*g + w*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1677)\/(-1118)*8\/9*(-3)\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of 18*w + 0*w**2 + 4\/3*w**3 + 0. Let p(k) = k**2. Calculate t(p(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 2. Let h(v) = 6*v - 12. Let c(k) = -6*h(k) - 39*j(k). Suppose 0 = 3*w - 2*p + 5 - 30, 2*w - 18 = 2*p. Is c(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.7, -2, -1.3, -0.5, 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (4 + 0 - 8) + -35 + 44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1771924 and 1196624?\nAnswer: 92140048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 8*u + 141 = 0. Let a = 50 - u. Solve -5*f = -x + 5, 2*f = 2*x - a*f - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**5*q - 153045767*l**2*q + 2*l*q - 3*l + 78*q - 6270 wrt l.\nAnswer: 20*l**3*q - 306091534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - g + 1. Let q be p(1). Suppose 2*r = 7 - q. Suppose 0 = 7*v - r*v - 204. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 10 - 26 = -h, -3*j = -h - 8. Suppose -j*n = -4*a - 611 - 233, 3*a + 1055 = 5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5\/8, 0.09, 1\/4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/13, 2, -0.2, -3 in descending order.\nAnswer: 2, 4\/13, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q + 22935*q**2 + 4 - 95920*q**2 - 17233*q**2.\nAnswer: -90218*q**2 - 6*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -722770.\nAnswer: 1\/361385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5478*s**5 - 1895*s**4 + 75916728*s**2 wrt s?\nAnswer: -328680*s**2 - 45480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3491 times -1307\nAnswer: -4562737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30 + -26. Suppose -4*o = -2*l + 12 - 2, 2*o - 20 = -w*l. Solve o = 2*b - 7*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 364 = -55*w - 1107 - 509 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 3*u**3 - 105*u**2 - 588*u - 480 = 0.\nAnswer: -4, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 4) + (45\/(-1) - -4). Which is smaller: -48 or x?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 2)*3\/9. Suppose 4*d + d = c. Let f(r) be the first derivative of -r**4\/4 + r**3\/3 + r**2\/2 - 3*r + 1. Determine f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -11*t**2 - 1. Let p(v) = -v**2 - 1. Calculate 4*p(m) - s(m).\nAnswer: 7*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119 + -74. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.651 * 1.\nAnswer: -0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -0.5  (c) -1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2145 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 91525 and 91524 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3200*k**3 - 100*k - 2080. Suppose -10*w = 9 + 991. Let l(c) = -97*c**3 - 3*c - 63. Let n(a) = w*l(a) + 3*j(a). Differentiate n(b) wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 247325 divided by -49465.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 70833513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3 - 1) + (2 - 11) - (178 + -205)) + -116.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 2)*-16 - -2. Which is smaller: u or -61?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/(-4) + (-6)\/21. What is the nearest to -0.2 in 0.2, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25\/426 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 495 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k + 28*k + 12*t = 14, -3*t = 2*k - 0*t - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 11*f**2. Let m(s) = 6*s. Determine m(c(x)).\nAnswer: 66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 556280 to the nearest one thousand.\nAnswer: 556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(2 + -4)*0. Suppose -4*n + 8 = -z. Suppose -12*u + 21 - 9 = 0. Sort n, 5, u.\nAnswer: u, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 173680 = b + 10938, 3*v - 813850 = -5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -46*g - 6 + 3*g**3 + 5*g**2 + 50*g**2 - 12 - 12*g**3. Let r(w) = -w**2 - w - 1. Let h(v) = b(v) - 6*r(v). What is f in h(f) = 0?\nAnswer: -2\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 243.74 - 246. Let o = -0.41 - q. Round o to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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 n be 10326\/(-21) + -3 - 2. Let p = -498 - n. Is p at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-39)\/(-9) - (-1)\/(-3). Suppose -4*x - 12 = d*y, 5*x = -3*y - 5 - 0. Let r(u) = -u - 4. Let b be r(-5). Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -31*k. Let a be i(2). Let j = -35 - a. Suppose -4*g = 3*p - 51, 0*p - j = -2*g - 3*p. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 + -322?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1433, 1524, 1619, 1718, 1821, 1928?\n\"Answer: 2*r**2 + 85*r + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/34 + 5 + (-72151695)\/(-187) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8378 + 15610. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 12055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1100665*q**5 + 4745099*q wrt q.\nAnswer: -22013300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p. Let x(c) = -223527*c - 6. Calculate x(q(d)).\nAnswer: 447054*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2298293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5943 - 95*s**3 + 194*s**3 - 5*s**3 + 7*s + 375*s**3 wrt s.\nAnswer: 1407*s**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*b - 2*g - 5, -2*g - 4 = -b. Suppose -4*d + 296 = -4*t, 3*t - 2*d + b*d = -202. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4192 divided by -4192?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 805056 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 18, 0 = -m + b + 1029 - 1049 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 6 + -2 + -1. Let k be ((-20)\/6 - -4)\/(o\/15). Solve -5*x = -6*x + k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d + 61. Calculate the remainder when 83 is divided by y(18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 167\/(-12) - (-1)\/(-4) and (-545)\/(-1500)*-9*(175\/(-45))\/7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 11 + (-2 - (1 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 25*s**2 - 820*s + 26. Calculate the remainder when 362 is divided by h(33).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 63*t + 203. Let i be p(-3). Calculate the highest common factor of i and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**3 - 3*w**3 + 4*w**3 - 21*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 29*t**2 + 15*t**2 + 36*t**2 + 16*t**2 - 66*t**2 - 4*t. Let a(g) = -15*g**2 + 2*g. Give 5*a(n) + 2*q(n).\nAnswer: -15*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 480 + -287. Suppose 0 = -2*j - 2, 5*t - p = -j - 4. Let v = t - 40. Is -2 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1725 and 165.\nAnswer: 18975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1117202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/(-28) + (-23)\/(-2). Let v = x + -9. Let p be 9*(-3)\/(-54)*v. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1719.966 and 206468036.\nAnswer: 206469755.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -29. Let y be f\/15 + 5\/((-100)\/(-112)). Let j(d) = -d**3 + 7*d**2 - 9*d + 3. What is j(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.6, 0.5, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.82 + -0.41. Let o = i - 0.4164. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/11888 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 146279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a8462 + 5?\nAnswer: -a845b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 + -19. Solve 5*t - 4 = c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -172*g - 5 + 169*g + 0. Let n(j) = j**3 - 5*j**2 - 7*j - 5. Let s be n(6). Let o = 7 + s. Calculate a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + 2*g**2 - 7*g + 9. Let x be i(-4). What is the third derivative of 82*f**5 + 88*f**5 - 190*f**x - f**2 + 22*f + 90*f**5 wrt f?\nAnswer: 4200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 62*z + 59*z - 1143, -2*p + 3*z + 468 = 0. Is 224 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154467227.\nAnswer: 67, 2305481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h**2 + 5. Let l(n) = -n**2 + n + 1. Calculate 5*l(z) - s(z).\nAnswer: -9*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*k = -2*g - 7*k - 10*k - 12, k = 7*g - 3*g - 58 + 64 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13500*p - 11284*p + 5692*p.\nAnswer: -19092*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (24\/14)\/(54\/189) + 149184\/(-24822)\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 174738\nAnswer: -87369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 882\/(-18522) - (-62)\/(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171*k - 137*k + 308*k - 35*k**2 + 67*k**2 - 31*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1178 (base 16) to base 15\nAnswer: 14d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 483210, 966420, 1449630, 1932840, 2416050, 2899260?\n\"Answer: 483210*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -231*w**2 + 15941*w - 101. Give i(69).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {y: 1, u: 1, n: 1, z: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 65*p**2 - p + 3. Let k(b) = -47*b**3 - 2*b**2 + 1. Let l be k(-1). Suppose -h = 49 - l. Is g(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 23*a**2 - 343*a - 594. Give u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 32, 44?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 3, k: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3344 and 9728.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, l: 1, r: 9, o: 3}. Give prob of picking 3 o and 1 r.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in 5, -0.1, 0.06, -5, -1685?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**4 + 10272*d**3 - 25899351*d**2 - 2473441148*d + 7653140340 = 0.\nAnswer: -95, 3, 5182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.76, -2, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 54.75 + -55. Let a = z - 0.05. Let i = -0.05 - -0.01. What is the second biggest value in a, -2\/3, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1311 + 10?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 119\/6 - 39\/2. What is the closest to 0 in 2\/5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (7 - 0) + (-12 - -8). Suppose -r*j - 2*p = -j - 190, 4*j + 2*p - 388 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of 7*f**4\/2 + 25*f - 6. Differentiate h(g) wrt g.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(19) + sqrt(171)*-4)*-4*-1 + 5)**2.\nAnswer: 1320*sqrt(19) + 331081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {o: 3, h: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*p + 17 = 0, 2*t - 16 + 32 = -4*p. Solve -t*y + 4*y + 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 - 1 = 6*w. Is w >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*r**2 - 1)*((2*r - 4*r + 0*r)*(-3 + 10 - 2) + r + 4*r - 3*r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 776, 2781, 6018, 10487, 16188?\nAnswer: 23121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -27*a**2 - 2 + 12*a**2 + 2*a + 16*a**2 + 1. What is b(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.215 - 0.185. Which is the nearest to 0?  (a) -0.26  (b) 0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 7*a = -486. Let c(b) = -b**3 - 11*b**2 + 8*b + 5. Calculate the remainder when c(-12) is divided by (-28)\/42*a\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4705 and -3.\nAnswer: 14115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2029666*h**3 + 2*h**2 - 810072.\nAnswer: 12177996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.9 - 2. Let q be 1\/(-36) - 2\/9. Let s = 64425 - 64426. What is the smallest value in s, 1, o, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -8. Suppose t*y = -y - 12. What are the prime factors of 2\/8 - 27\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 58 - 94 = -6*s, 0 = 18*s + 5*w - 52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008) + (1*sqrt(1008) + 4)**2 + sqrt(1008) - sqrt(1008).\nAnswer: 108*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (82\/26 - (-22)\/(-143)) + (2424\/70)\/(-12)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 8 = 27*s - 32*s, -5*r + 2 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 3 = -h - 5*d, 4*h + 5 = -d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, 0, -3 in descending order.\nAnswer: 48, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/5?  (a) -0.02  (b) 2\/3  (c) -109  (d) -12\/5  (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i = -117 + 124 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -3*c + 175 + 29, b = 0. Let x be (0 - -15)*(-3)\/(-9). Suppose -x*s + s = -c. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -10) + (0 - 4) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -19. Let h be l\/((-1)\/(-4)*2). Is h bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1468280)\/(-480) - 2\/(-24). Calculate the greatest common factor of s and 1862.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 = 23*d - 208 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -9617 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, k: 1, q: 7, x: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 7 - (1 + 5 - -2 - 1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 12767.02389 to the nearest one hundred.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -3*m + 399, -151 = -2*v + m + 106. Suppose 7*z - v = 2*z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -374467*-20.\nAnswer: 7489340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4, 17, 30, 29, 8, -39, -118, -235?\n\"Answer: -k**3 + 2*k**2 + 22*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2 = 2*g - 0*l, -1 = -2*g - 3*l. Suppose 2*r = -g*o + 44, 2*r + 7*o - 3*o = 52. Solve 22 = 2*h + r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 241710 = -3*z, 0 = -3*h + 2*z - 84078 + 325784. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001101110101101010 (base 2) in base 6?\nAnswer: -45150322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 104\/8715 and 91\/15745515.\nAnswer: 110218605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 408 and 348.\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23434 or 4068?\nAnswer: -23434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 1\/10  (b) 3\/5  (c) 0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -34827 (base 9) in base 12?\nAnswer: -11574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 7*h - 6. Give s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5162454 and 297594.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 4 + 9 + 4*i + 2 - 2 - 14*i**2. Let s be w(-1). Solve 4*a - s = -5*p, -17 - 10 = -3*p - 5*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 302684, 1210510, 2723478, 4841594, 7564864, 10893294, 14826890?\n\"Answer: n**3 + 302565*n**2 + 124*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -82173 divided by -7\nAnswer: 11739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (6 - (2 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 5. Suppose -a - 5*j + 15 = z, 5*a - a = -3*j + 9. Let u(m) = -m**2 + m - 4. Calculate u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 divided by -2?\nAnswer: -289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 334848735*i**4 - 93768836*i.\nAnswer: 4018184820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1408) - 2*sqrt(1408)*2)\/(6*(sqrt(50) - sqrt(2)) - (sqrt(2) - sqrt(6)\/sqrt(3))*-1)*-3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2998244316 to the power of 1\/3, to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -131*f + 691. Determine h(6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 4*i**2 - 151*i - 45. Calculate y(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-10) + 12069\/15. Let s be ((-2104)\/(-16))\/((-1)\/(-10)). Let r = o - s. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 7\/3)\/(2\/3). Suppose 0*r + 4*z - 37 = -5*r, 0 = -2*r - 5*z + 25. Let x(p) = 3*p**2 - 1 - p + 4*p**2 - r*p**2 - 3*p**2. Give x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-327*269\/(-381173))\/(249\/26).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f + 4*c + 33, -22*c - 27*c - 5 = -5*f - 50*c + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.367523948 and 48.\nAnswer: 47.632476052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*o + 59*o. Suppose -4*v + 45*r - 46*r + 28040 = 0, o = 4*r. Round v to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 4\/7 - 30\/7*i**3 - 6\/7*i - 32\/7*i**2 - 8\/7*i**4 = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119315197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1114388 and 1463.\nAnswer: 7800716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 1. Let o(t) = 5*t**2 + 5*t + 6. Let z(r) = 14*r**2 + 13*r + 17. Let f(p) = -8*o(p) + 3*z(p). Give f(b) - 2*g(b).\nAnswer: 4*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*o + 7016 = -107*o - 2005 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 52 + -16 + -12 + -2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -38723950.\nAnswer: -8\/19361975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.73, -21, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, -0.73, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = n - 25 - 3, -4*n - 5*i = -52. Calculate the greatest common factor of 80 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 586557, 1173113, 1759669, 2346225, 2932781, 3519337?\n\"Answer: 586556*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2238394 micrograms in nanograms?\nAnswer: 223.8394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -210, -894, -2062, -3726, -5898, -8590, -11814, -15582?\nAnswer: -19906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -95305.644.\nAnswer: -95310.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 4*a**2 - 2*a - 5. Let m be s(-4). Suppose -r = f - m*f + 8, r + 3*f - 17 = 0. Suppose 0 = r*y - 12 - 16. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1402 - 1350. Which is greater: 54 or k?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 366461 greater than or equal to 1832306\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 times -109\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*m + 5*t + 14, -5*t = m + 22. Does 27 divide 269 + m - (-11)\/((-22)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 a when four letters picked without replacement from iaiiiiiiiiaiiiiiaia?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/12))**32 assuming i is positive.\nAnswer: i**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q + 75. List the prime factors of s(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 20565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -352 - -351.99999833. What is s rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 34 = i - 2*i, 2*i - 26 = -3*u. Suppose -u*n = -8*n - 10. Let h be ((-546)\/(-90) - 6) + 4\/12. What is the second biggest value in 4, n, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 331 = 4*n, -4*z + 1270 = -4*n + 6*n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -341*p - 989. Give n(-4).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2349595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 17 = -2*x. Let f = -8 - x. Solve -f*r = -4*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -14*h**2. Let p(j) = 3*j. Determine t(p(d)).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21642009 and -0.4.\nAnswer: 21642008.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1251 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8179 - -441647\/54. Calculate the common denominator of 1\/7*(6 + (-7212)\/(-576)) and j.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -22*v - 116. Calculate the remainder when 25 is divided by n(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 320197\/36 or 8893?\nAnswer: 320197\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -510*p - 5080. Determine z(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4425412, -4425410, -4425408, -4425406, -4425404, -4425402?\n\"Answer: 2*r - 4425414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - 1.7. Let n = -2.31 + 0.68. Let y = 0.37 - n. Which is the third smallest value?  (a) 1\/2  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 6*v**2 - 6*v - 3. Let h be f(7). Solve -6 = -3*g + 9, 5*g = -h*b + 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((-1)\/(-2)) + -2. Suppose -3*v - 8 = -7*v. Let s(g) = 3*g**2 + 413 - 418 + 0*g**2 - 4*g**v. Give s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -518*h - 2*h**2 + 2*h**2 - 5*h**2 + 493*h - 20.\nAnswer: -5*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*((sqrt(11) - sqrt(44)\/sqrt(4)) + sqrt(11)))**2 - (4 + sqrt(396)))*-5 + 2.\nAnswer: -1958 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**3 + 0*a**3 + a**3)*(-a**2 - 3*a**2 + a**2) - 5*a**5 + 3*a**5 - a**5 + 3*a - a**5 - 3*a.\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*d*f + 21*d - 53*f - 3 wrt f?\nAnswer: -2*d - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 33 = -3*t. Let r(h) = h**3 - 11*h**2 - h + 17. Let l be r(t). Suppose 0 = -l*d + 132. Solve f + 2*n - 9 = -0*f, -3*f - 5*n = -d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(175) - 2*sqrt(175)*-4) + sqrt(175) - sqrt(175)))**2.\nAnswer: 510300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 306\/102 + -1*(1 + -632). Suppose 3*w = -a + k, 3380 = 5*a - w + 242. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - h - 5 + 4*h + 5 - 4 + 4 + 2*h + (1 + 0 + 0)*(-h + 4*h - 2*h) + (-1 - 4 + 2)*(h + 1 - 1).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 14*f. Let v(i) = -2958*i**2 - 2*i + 18. Give n(v(c)).\nAnswer: -41412*c**2 - 28*c + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278 - 1972 = 15*q. Let y = 156 + q. What is the biggest value in 1, 2, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 425 - 155. Let i = -85 + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7401 + 1010?\nAnswer: -6391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 23. Let z be (36\/10)\/(k\/(-20)). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**8\/6720 + v**7\/2520 - v**4\/8 - v**2. Let l(d) be the second derivative of b(d). Find the third derivative of l(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4*v + 469100 = 9*v, -2*l + v = -187625. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**2 - 13852837*n + 13852836 = 0?\nAnswer: 1, 13852836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-14) + 1314\/2128. Let h = -4007\/456 - f. What is the common denominator of h and 43\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26 - 153*s - 3 + 73*s**5 + 152*s wrt s?\nAnswer: 1460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = 4*m + 437 - 421, 5*m + 343 = 128*c - 51*c for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -333311 - -11?\nAnswer: -333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 34718903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: a492 (base 11) to base 13\nAnswer: 642b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004152928 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 359098.002 to the nearest one hundred.\nAnswer: 359100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -15854000 rounded to the nearest 100000?\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10183357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4382546 - -7646.2\nAnswer: -4374899.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -44*w**4 - 17100*w**3 + 600444*w**2 + 395212*w - 222288 = 0.\nAnswer: -421, -1, 4\/11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -42, -4 in descending order.\nAnswer: -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2228867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*q**5 + 453*q**4 - 453*q**3 - 6213*q**2 - 4110*q + 1224 = 0.\nAnswer: -17, -3, -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0*y)**(-14))**(-2\/35)*((y*y**(-4))\/(y**1*y))**40 assuming y is positive.\nAnswer: y**(-996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, -0.1, -31390\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 33 - 9 = 2*m, 0 = -6597*m + 6585*m + q - 263 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -309804, -309577, -309350, -309123?\n\"Answer: 227*f - 310031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 53 = -5*t, 0 = c - 1244*t + 1240*t + 7 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41298 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -763238, -3052964, -6869174, -12211868, -19081046?\nAnswer: -27476708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000110100 + 1111111?\nAnswer: -101110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1288*h + 4*l = -1284*h, 42*h + 3*l = -180 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -12112 (base 3) to base 16\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, g: 2, m: 8, d: 5, j: 3, i: 1}. What is prob of sequence dndg?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x = -15*x. Let i = 6 + -1. Let p = 3 - i. What is the second smallest value in p, x, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a + 30. Let q(t) = a*t + 0*t**2 - 2*t - t**2. Let u be q(3). Solve u*g + 3 = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3, 1\/3, 3, -1433, 2\/43, -2.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4766.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2324952 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v**5)\/v*v**(-5)\/v*v*v*(v**(-1))**(-21))**(-1\/3) assuming v is positive.\nAnswer: v**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s + 3*s - 3*r - 3, -5*r - 10 = 5*s. Let u(d) = 28*d + 283. Let j be u(-10). Solve 0 + s = -j*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*r - 268*r + 85*r + 7*r - 274*r.\nAnswer: -496*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-3))\/(2\/(-10)). Suppose j - x = -j. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**2 + f + 2. Let t(a) = -5*a**2 - 2*a - 3. Calculate -8*m(h) - 5*t(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r**2 - 18*r + 96. Let l be c(13). Suppose 26*i - l + 83 = 0. Calculate the greatest common factor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 462841.08826+-0.178\nAnswer: 462840.91026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 52320 - 0?\nAnswer: 52320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*f**3 + f**2 - 34*f**3 + 1082*f - 1082*f + 29*f**3.\nAnswer: 11*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*s**2*v**4 + 3*s**2*v**3 - s**2*v - 47*s**2 wrt v.\nAnswer: -48*s**2*v**2 + 18*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 t, and 1 k when four letters picked without replacement from yytktkktyxtykktk.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(560) + -2*sqrt(560) - sqrt(560))\/sqrt(10))\/((sqrt(16)*3)\/sqrt(2)))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3348)\/(-11160) - (-2 + (-1521)\/(-670))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14259576 or 0.1?\nAnswer: 14259576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {s: 11, t: 2, q: 5, n: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63 + 36. Let z = 27.031 + l. Let o = 0.031 - z. Is 2.3 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1565 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7883\/7 - -1119. What is the common denominator of n and 56\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -5. Let g = 27 + -25. Put 3, s, g in decreasing order.\nAnswer: s, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m - 46. Let o be q(-16). Suppose 19 = 2*h + 9, 35 = 5*z + o*h. Solve z*y + 6 - 21 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 6*x - q = 0, -5*x + 3 = -4*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5417 is divided by 853?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(704) - sqrt(44))\/sqrt(4) + sqrt(11).\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 281, 581, 881, 1181?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -148, -440, -934, -1678, -2720, -4108, -5890?\nAnswer: -8114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -16*-2*45\/36 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3787.97ug in tonnes?\nAnswer: 0.00000000378797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 4:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3743684 from 0.23.\nAnswer: -0.1443684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005482 to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -38, -84, -148, -230?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 143 and -169316?\nAnswer: -24212188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15951.13368 - 15949. Let a = -2.16 + o. What is a rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6*-41851*3. Suppose -2*r + 33758 = 4*t - l, 5*t = -2*r + 117455. Suppose -3*s - 67260 - r = 0. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 10839, -12, 2, 3, -3, 0.\nAnswer: -12, -3, -2, 0, 2, 3, 10839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)*-1)**2 + -5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 58537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 10*p**2 + 7*p. Let f(a) = 5*a**2 + 3*a. Give 7*f(h) - 3*u(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j - 1. Let k(s) = -43*s - 5. Let t(a) = 4*g(a) - k(a). Suppose -2*w + 2*i - 4 = 4, 2*i - 6 = 4*w. What is the remainder when t(w) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 854250, 854327, 854390, 854433, 854450, 854435, 854382, 854285?\n\"Answer: -p**3 - p**2 + 87*p + 854165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 28\/19, 1\/6, 2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1021211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 251*s**3 + 4*s**2 - 18*s - 6. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**3\/3 - 3*h**2 - 8*h + 17. Calculate r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2125740938 to the nearest integer?\nAnswer: 46106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 65824 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, x: 2, c: 4}. Give prob of sequence bxb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((36\/10)\/(-3)*(-1130)\/452)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3865 and -116924.\nAnswer: -120789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.21?  (a) 2  (b) 0.5  (c) 3  (d) 5  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-8)\/(-24))\/(2\/18). Suppose -4*w = -5*d + 183, -c*d + 0*d = 3*w + 117. Let j = w - -44. Solve l + 3*h = -2, -4*l + j*l = -h - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 8*w + 13. Let s be t(7). Suppose -f = -s*f + 145. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 359.38746 seconds?\nAnswer: 0.09982985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - 156*c + 316*c - 2 - 248*c to the form w*c**2 + f + m*c and give m.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 3:29 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 117  (b) 14  (c) 162  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjyzjwhjzjjhjjysh. What is prob of sequence sz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168955?\nAnswer: 5, 33791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 415\/20 - (-1)\/4. Let t = k - 12. Suppose 4*n - 11 = t. Solve 5*u - u - z = -2, z = n*u + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 20563648, 20563645, 20563640, 20563633, 20563624?\n\"Answer: -o**2 + 20563649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 2037509652.\nAnswer: -2037509653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 33 + -21 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c. Let a be q(-7). Suppose 0 = 5*f + 18 + a. Let z = 0.1921 + -0.4921. Put f, z, 1 in decreasing order.\nAnswer: 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3328) + sqrt(3328) + sqrt(3328) + sqrt(3328)*2 - (sqrt(4212) - (sqrt(4212)*1 + sqrt(4212))))*-1)\/((sqrt(400) - sqrt(400)*2*6)*-6))**2.\nAnswer: 31213\/435600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000077325 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 + 970*b**2 + 59200*b + 1088000.\nAnswer: 5*(b + 34)*(b + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 4*t - 1 = 0, -247*t - 16 = -4*q - 246*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j*r**4 + j*r**3 + j*r**2 + 6*j - 192*r**4 + 3*r**3 - 1686*r**2 wrt r.\nAnswer: 48*j*r + 6*j - 4608*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 267.61 + -269. Let n = 0.29 + t. Let f = n - -0.6. Which is the nearest to 1?  (a) f  (b) 2\/3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12827 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 20*j**2 - 34*j + 36. Let o be p(-18). Factor o + 2\/3*t**3 + 4\/3*t**2 - 2\/3*t**4 + 0*t.\nAnswer: -2*t**2*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 137407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/(m\/(m\/((m\/(m\/m**(-2)))\/m))))\/m*m*m)\/((m*m\/(m*m*((m*m**(-1\/2))\/m)\/m*m*m))\/m)*(m**(-1)*m)**(8\/7) assuming m is positive.\nAnswer: m**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-65)\/10 + 9)*(-592)\/(-5). Calculate the greatest common divisor of 56 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 0 + 8. Suppose -3*w + 12 = -18. Let y be (1 + w\/(-6))\/((-11)\/132). Solve 0 = -v*n - j - 16, n + y = -n - 3*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d = -10*d + 1193399460. Suppose -3*s - 15 = 0, 2*s - d = 2*a - 2*s. Round a to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/13 - 340*v\/13 - 342\/13.\nAnswer: 2*(v - 171)*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.08  (b) 18  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 773*z**2 - 6*z + 4. Let o be q(4). Suppose 0 = 27*s + s - o. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5922 or -41445\/7?\nAnswer: -41445\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3*5\/(-15) - 110. What is j rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6865 - 3?\nAnswer: 6862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 5*o + 6 = -0*h, 2*h = -5*o + 4. Suppose -31 = h*m - 3. Let a be -3 - m - -1*1. What is the greatest common divisor of 60 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 295 = p. Suppose -2196*k + 2428*k - 5228 - 5316 - 1752 = 0. Calculate the remainder when p is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**4*f*f**(-3))\/(f**3*f**(-3))*((f*f*(f\/(f\/(f*f*f**1)))\/f*f*f*f)**6)**(-18\/7) assuming f is positive.\nAnswer: f**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 86, -1, 6, 26 in increasing order.\nAnswer: -1, 6, 26, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((0 + sqrt(17) - sqrt(17))*-2 + -6*sqrt(17)*2)**2 - (sqrt(1275)\/sqrt(3) + -4)) + 5)*-4.\nAnswer: -9828 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 87473, 87420, 87353, 87290, 87249, 87248, 87305?\n\"Answer: 3*v**3 - 25*v**2 + v + 87494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450*u - 451*u + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 965030 and 28160?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12627 and 74664?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(19) + -1)**2 - (sqrt(190)\/sqrt(160))**2 - ((-2*sqrt(8208))\/sqrt(3))**2)*5.\nAnswer: -885215\/16 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 21330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (150\/384*32*(-2)\/(-50))\/((-4)\/98)?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 68*i**2 - 2453*i + 236. Calculate x(36).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6509.98925 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0161 take away 0.293?\nAnswer: -0.2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4001.18+-761\nAnswer: 3240.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -o**4\/32 + 9*o**3\/8 + 57*o**2\/16 - 102*o. Factor k(y).\nAnswer: -3*(y - 19)*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*i**4 + 19362*i**3 - 980*i**2 + 422793494*i.\nAnswer: 48*i**2 + 116172*i - 1960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 31946*l**2. Let n(d) = -27*d**2 - 5. Determine n(q(s)).\nAnswer: -27554766732*s**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**3*w**2*y - 4*i**3*w - 2*i**3 + 2*i**2*w**2*y + 22*i*w*y - 2*i*y - 101*w**2 wrt w?\nAnswer: -4*i**3*y + 4*i**2*y - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 16) in base 3?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 - -1)\/(3\/6). Let u = 17 - t. Suppose -167 = -u*h + m, 49 = h + 2*m + m. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 + 11 + 23*t - 19)*(2 + 1 - 15) to b*t + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/176 and -143\/5472.\nAnswer: 60192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -11 - (7 - 9) - 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 96 in 3\/5, -0.4, -60, -2\/29?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**4 - 6*f**2 + 2*f**4 + f**3 + 1 + 10*f**2 in the form p*f + n*f**4 + t + k*f**3 + a*f**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)*-2)\/sqrt(10) + -1.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 2*i**2 + 6*i - 48. List the prime factors of g(-10).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1328390445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.11 and -0.0822.\nAnswer: 0.009042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -47323 less than or equal to -5300013\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -i + 20, 160 - 192 = -4*i + 4*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 15*j + 24. Let k be o(14). Solve k = y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 992.0000013545 - 992. Round x to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + -1 + sqrt(200) + (sqrt(8) - sqrt(8)*2))**2 + 2 - ((sqrt(56)\/sqrt(7) + sqrt(2) - (-3 + (sqrt(72) - sqrt(2)))) + -4).\nAnswer: -34*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224703 is divided by 254.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - -7. Calculate the remainder when 4\/10 + (-3)\/((-75)\/715) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(78) - sqrt(78))*-2)\/(2*sqrt(6)*-4)*-6.\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*a*p**4 - 2*a*p**3 + 1803*a*p**2 + a*p + 2003*a + 8*p wrt p.\nAnswer: 84*a*p**2 - 12*a*p + 3606*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7915 or 7916?\nAnswer: 7916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/2, 7, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.75 - -0.25. What is the closest to 1 in -0.4, 6, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28 - -33 - 17) + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*m. Let t(w) be the second derivative of 0*w**3 + 1\/4*w**4 + m + 1\/2*w**2 - 3*w. What is the derivative of t(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k - 3 + 3)*(139 + 143 + 80)*(-4*k + 3*k + 3*k) to the form g + t*k**2 + h*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2 - 1880*d + 167608 = 0.\nAnswer: -1022, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(600) + sqrt(600) + sqrt(600)*2*-6)\/((sqrt(1728) - (sqrt(1728) - sqrt(1728)*1))*-4).\nAnswer: 25*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*w - 37 = -163. Let b = -3.1 + 3. What is the closest to b in w, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -384  (b) 12  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d + 3*r + 39 = 0, 2*d + 15*r + 18 = 12*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12 times 17413\nAnswer: 208956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 2*h**7\/7 - 37*h**5 - 827*h**3\/3 + 289. Find the third derivative of w(l) wrt l.\nAnswer: 240*l**3 - 4440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8+74044\nAnswer: 74036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4754, 12, 5, -1061 in decreasing order.\nAnswer: 4754, 12, 5, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 113479*w**4 + 105461*w wrt w.\nAnswer: 1361748*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 71887 - 95709 = 0. Does 43 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 8. Suppose -2*d = j, 3*q - 2*d - 2*d - 53 = 0. What is the lowest common multiple of 5 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 6271  (b) -0.091  (c) 21\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyeyyyyy?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -135.691139 and 3.\nAnswer: -407.073417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 1  (b) 0.2  (c) -181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.33049 - -0.43049. Put -4, -27, w, 4, 0.3 in descending order.\nAnswer: 4, 0.3, w, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 1)*(3*p**3 + 0*p**3 + 0*p**3) - 22752*p + 45501*p - p**2 - 22749*p - 2155*p**3.\nAnswer: -2152*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 320.2961 centuries?\nAnswer: 32.02961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 t when four letters picked without replacement from {k: 12, t: 5, x: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7*(-8)\/28*-1. What is the closest to 2\/3 in m, -3\/7, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1118*k + 639 = -17648 + 2635 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47263573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 643 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 8082  (b) -5  (c) 1\/8  (d) 1\/6  (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -r**5\/570 - r**4\/57 - 4*r**3\/57 + 7*r**2 - 8. Let t(l) be the second derivative of s(l). Factor t(i).\nAnswer: -2*(i + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, -5, 1140, -6, 4 in ascending order.\nAnswer: -6, -5, -1, 4, 11, 1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-440)\/28 + 16)*7\/(-2). Let t = -3 + 4. Sort n, t, -3, 4.\nAnswer: -3, n, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -1 - 7 - q**2 + 8. Let x(r) = r**2 + 7*r + 6. Let m be x(-6). Let c(p) = m*p - p + 3*p. Give s(c(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-552445.\nAnswer: -220978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**10\/i*i*((i*(i**(6\/11)*i)\/i*i*i)\/i*i)\/i)\/((i*i**(3\/4))\/i*(i\/(i\/i**(5\/2)))\/i*i) assuming i is positive.\nAnswer: i**(409\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 286\/5 + -57. Which is the biggest value?  (a) 1\/3  (b) 0.5  (c) -0.1  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*v**2 - 8*v**2 - 6*v + 8 - 3*v**3 - 3*v**2 + 25*v**2 - 9*v**2 in the form j*v + t*v**3 + h + p*v**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w**2 - 6 + 6 + (3 - 2 - 4)*(-1 - 2*w**2 + 1) - w**2 + 63*w**2 - 20*w**2.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 2\/15  (c) -259  (d) 0.1  (e) 0.02  (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137862 = -747*m - 1251*m for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 389 + -386. Suppose b*h + 48 = 7*h - 5*i, 0 = 4*h + 6*i - 4. Solve 1\/2*v**2 + h*v + 49\/2 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/194829 and -79\/1224.\nAnswer: 79490232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c**3 + c**3 - 4*c**3)*(-3*c + 0*c + c) + 293881*c**2 + 20 - 238*c + 293880*c**2 - 587760*c**2 - 2*c**4.\nAnswer: -4*c**4 + c**2 - 238*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -6, 6 = 5*g - 2*h - 28. Suppose 76 = 4*x - 4*a, -2*a = 5*x - 0*a - 81. Suppose n - x - g = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 10:56 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w**3 + w**2. Let r be h(-1). Suppose -r = -5*g, -5*g = 2*u - 4 + 1. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 165 + -162. Let u be (19\/j - 5)\/(6\/27). Let i(x) = -x**2 + 4*x + 2. Determine i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 10}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3035299?\nAnswer: 17, 61, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2979 + -2890.8. What is v rounded to zero decimal places?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of t**3*y - t**3 + 11*t**2 - 8563*t*y**2 - 56*t*y + 16*t - 13*y**2 - 441 wrt y.\nAnswer: t**3 - 17126*t*y - 56*t - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*b - 0*b + d, d - 13 = -5*b. Let a(x) be the second derivative of -1\/2*x**2 - 1\/6*x**3 + 0 + b*x. Calculate a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*f, -4*f + 34 + 6 = 4*o. Let q(d) = -9*d - 28. Let t be q(-14). Calculate the greatest common factor of t and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-1)\/(-2)) - (11 - 7). Calculate the common denominator of (-12)\/24 - (1 + m\/5) and -117\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 11, j: 5, o: 1}. Give prob of sequence ppp.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 + 728*s + 390233.\nAnswer: -(s - 1087)*(s + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/239 or -136?\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28934 - -29211. Calculate the remainder when 552 is divided by d.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84466489, 84466491, 84466493, 84466495, 84466497, 84466499?\nAnswer: 84466501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, p: 2, m: 3, t: 1, z: 3, v: 1}. Give prob of picking 1 m, 1 s, and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z + 3. Let b(n) = -n**2 - 24*n + 206. Let s be b(7). Give f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*i - 2*i + i - 2*i as g + b*i and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13378 - 7162. Does 37 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 29*b**2 + 26*b - 20. What are the prime factors of y(-30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-4))\/((-51)\/(-68)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(304) + 1 + (sqrt(171))**2*2 + sqrt(19) + sqrt(19)).\nAnswer: 18*sqrt(19) + 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -13*r**5\/20 + r**4\/12 + r**3\/3 + r**2\/2 + 7*r. Is 5 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 - 48. Let u = 7 + -2. Solve 3*x + u + a = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.021 + 0.07. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*z - 1504742 = -1497722 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 319.39 + -319.3986667. What is b rounded to five dps?\nAnswer: -0.00867","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 403 = a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 2010002202?\nAnswer: -2010002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 527622*k**2 + 2. Let b(v) = 2*v. Determine b(q(y)).\nAnswer: 1055244*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 28. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6048 is divided by 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2*((-44)\/(-396))\/((-1)\/(-2))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8717 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 52, 5, 1\/6, -0.39, -4 in increasing order.\nAnswer: -4, -0.39, 1\/6, 0.3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.1, -2\/7, -32.\nAnswer: -32, -2\/7, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11 + (-1 - 0) + -3. Suppose -4*c + 0 = -20. Let t = x - c. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01*-2107.3\nAnswer: 21.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*j = -284, 5*j = 2*k - 417 - 91. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15861 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1 = -5. Let c be 5\/10 + (-38)\/76. Solve 0 = 5*p + 2*u + 23, c = -4*u - d - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 4*g - 3*g)*(2 - 4 + 1)*(82*g + 22*g**3 - 82*g) - 9*g**4 - 3*g**4 + 2*g**4.\nAnswer: -54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 8*n - 189. Suppose 3*r = 2*w + 11, -n*r = 4*w - 32*r + 21. Put w, 4, 26 in decreasing order.\nAnswer: 26, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(2450) - sqrt(250)\/(-1*sqrt(5)))\/((sqrt(490) + sqrt(10))*-5 - (sqrt(10) - 3*sqrt(160))))**2*-6.\nAnswer: -14520\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 574423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 68 + -68.1. Sort v, 1, 16, 2.\nAnswer: v, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 8) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 74, -2, 2, 0, -20 in decreasing order.\nAnswer: 74, 2, 0, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 116216 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + 31*h**2 - 88*h - 2220. Calculate u(15).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4055668601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 624939975.\nAnswer: 3, 5, 11, 17, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -5*x**2 - 11*x + 5. Let i(q) = 37*q - 881. Let p be i(24). Let f(l) = -3*l**2 - 6*l + 3. Determine p*f(r) - 4*w(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00057226679 rounded to five dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222 = 4*c + h, -c + 4*h + 12 = -52. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 1\/2  (c) -0.08  (d) -5  (e) -60.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*x**5 - 47*x**4 - 1421*x**3 - 22*x**2 + 26724*x wrt x.\nAnswer: -240*x**2 - 1128*x - 8526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2463.5 and -0.03.\nAnswer: -2463.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 568545253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -430509, -430512, -430535, -430584, -430665?\nAnswer: -430784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020160 to the power of 1\/2, to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -130157608 and -0.21.\nAnswer: -130157608.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -10. Let f be z\/12*-4*1. What is the second biggest value in 2\/5, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8858 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -8. Suppose -3*m - j = j + 20, 3*m + 5*j + 23 = 0. Let f = t - m. Solve -l + 20 = -f*q, 0 = -5*l + 5*q + 5 + 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 258 = -p + 21, h = p - 285. Determine d so that 282*d - p*d - 3*d**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353631 take away -4?\nAnswer: 353635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of 34*g**3\/3 - 206. Let x(k) = 6*k. Calculate d(x(q)).\nAnswer: 1224*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 7*u**2 - 14*u + 15. What is a(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3150, -3341, -3532, -3723, -3914?\nAnswer: -4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34037 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 4*l**2 + 271*l + 17956. Let o(c) = 7*c**2 + 541*c + 35912. Let q(x) = 5*h(x) - 3*o(x). Factor q(p).\nAnswer: -(p + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -3. Suppose 4*t + j*g + 7 = -0, -5*t + 4 = 2*g. Factor 3*l**t + 7 - 6 + 5 + 6 - 12*l.\nAnswer: 3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4080 and 14310.\nAnswer: 1946160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(32\/(-6) + (-24 - -28))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -18 - j**3 - 17 + 5*j**2 + 12 - 12*j - 14*j**2. Let h be l(-8). Let r be 74 + -1*(-1 - -3). What is the greatest common factor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -209224*f**3*x**2 + f**3 - 484*f**2*x + 21*f*x**2 + 5*f*x wrt f?\nAnswer: -1255344*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 250, 3, 2, 0.5, 2\/3 in increasing order.\nAnswer: 0.5, 2\/3, 2, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -85543*b*w**2 + 14*b*w + 2*b - 2*w - 590 wrt w?\nAnswer: -171086*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280 = s - 48. Let p = s - -430. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 p, 1 m, and 1 q when four letters picked without replacement from {c: 3, m: 1, q: 1, r: 4, p: 5, i: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1183648 and 2726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1088 + 4230 + 1338 = -59*i - 45*i for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 12:55 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -132 + 136. Let p = -13 - -38\/3. What is the nearest to p in -4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3410 + 3493. What is the remainder when 645 is divided by k?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out 66 * 0.100983.\nAnswer: 6.664878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -1 - (-9 + 7)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/287451 and 4\/8405?\nAnswer: 1437255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2905 - 1742. Let h = c - 777. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 790*r + 13882. What is m(-18)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 699023 to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-4 - (-4 + 4 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 5*-2*sqrt(320) + 3 + 1 + sqrt(320))*1)**2.\nAnswer: -1296*sqrt(5) + 26001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 78?  (a) 3  (b) -3  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 1333 = 3*m - 1197, -7*m = d + 360 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 68\/(-8)*2\/(-3). Let q = u - 6. Which is bigger: q or -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 4*t**2 - 19*t + 50. Let b be c(2). Solve -b*s - 3*d = 0, 24 = 4*s + 28*d - 31*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 619, 1236, 1853?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -566, 2590, 5746, 8902?\nAnswer: 12058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -i**5\/60 - 37*i**4\/24 - 155*i**3\/6 + 19*i**2. Give r(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t**2 - 3*t - 2. Let r be x(3). Let j = r + -4. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3124186s in microseconds?\nAnswer: 312418.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.3 and -12?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 765 = 585*t - 529*t - 635 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 88485796*h**3*v**4 - h**3*v - 104948513*h**2*v + 2*v**4 wrt v?\nAnswer: 1061829552*h**3*v**2 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - 6*o - 6. Let r be n(-5). Which is bigger: -9\/11 or r?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*c + 19 + 9, 5*a = -2*c - 54. Let l be (8 + -9)*(-2)\/a. Which is greater: l or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-5)*2*20\/(-4). Let w be v\/(-8)*2*-13. Suppose -3*n = 3*d - 30, n = -2*d + w + 4. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 24 = -4*p. What is the greatest common divisor of 264 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**6 - 17*k**4 + 2759*k**3*l + k**3 + 13*k**2*l + 40*k**2 - 5*k*l - 6*k + 3 wrt k?\nAnswer: 240*k**3 - 408*k + 16554*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1592 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: Suppose -f + 23 = -5*d, f + 3*f - 44 = 4*d. Suppose 0 = -2*p + f - 0. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**2 + 0*l**2 - 3*l**2)*(198*l**2 - 188*l**2 + 2 - 5).\nAnswer: -70*l**4 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*y + 91*y - 7*y**3 - y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 367 at most as big as 18051\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 7 = 8. Suppose -n*m + 2*m + 30 = 0. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of -w**4\/2 - 6*w**3 + 120*w**2 + 2200*w + 2285. Let i(v) = 0. Calculate v.\nAnswer: -10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oogvjolddjdjgdg. What is prob of picking 2 o, 1 l, and 1 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4258298671 + 40.6.\nAnswer: 40.1741701329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -6. What are the prime factors of (r + -1)*(11781\/14)\/(-17)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -897 + 899. Put -4, -111, t, 0.2 in increasing order.\nAnswer: -111, -4, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 874544*k**4 - k**3 - 2 - 5*k - 2*k**2 - 874416*k**4 to the form b*k**2 + u*k + f*k**3 + d + o*k**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - (-6 + 184\/4). Let b = -56 - h. Is -96\/7 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -574*c - 581*c + 35 - c**3 + 13*c**2 + 1108*c.\nAnswer: -(c - 7)*(c - 5)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*x**2 + 102*x**2 - 44*x**2 - 12*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - m + 5*m + 6*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -357*3\/(-1 + -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a + 1650 = 4*u - 28*a, -a - 409 = -u. Suppose -u - 1425 = -4*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p - 6. Let c be u(7). Let f(z) = -3*z. Let i be f(-1). Suppose -i*a = -36 - 12. What is the greatest common factor of c and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 - -68 - (-5 + 1 - (4 + (-4 - 4))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(170)*-4)\/((sqrt(90)*2)\/sqrt(9)) + 6*(sqrt(833) + -2*sqrt(833) - sqrt(17))*-5)**2.\nAnswer: 962948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 470\/50 + (-2)\/5. Calculate the highest common factor of o and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43*7 - (36\/1)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1914 is divided by 637.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57710769 to the power of 1\/2, to the nearest integer?\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/2097 and 113\/29358.\nAnswer: 29358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1378, -5318, -11878, -21052, -32834, -47218?\nAnswer: -64198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (173\/346)\/(6\/(-312))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1676 and 160.1641485.\nAnswer: 1836.1641485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 28 = 6*g, -f + 4268 - 4266 = g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-186)\/(-30) + (-3)\/15. Solve 0 = 9*q - h*q - 5*c - 30, -q = -5*c - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4577 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 19*y + 33. Let m be q(19). Calculate the highest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**1*o)\/o)**(-2\/111)\/(((o**(-1\/4)\/o)\/o)\/(o\/(o*o**(-5)*o*o))))\/((o**(-2\/5)*o)\/o**(-6)*((o\/(o\/(o\/o**2)))\/o)\/o**(-5)) assuming o is positive.\nAnswer: o**(-9697\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 4 = -2*w - 6*k + 5 - 7, 13*k = 5*w + 102*k + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8, 0.2, -1\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 4*m. Let n(c) = 3*c**2 - 11*c. Let d be (-58)\/6 + (-4)\/(-6). Let a = 3 + d. Give a*n(s) + 17*p(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 2. Let c be (5 - 5)\/((-2)\/(-2)). Find the third derivative of 0*t**2 - 2*t**6 - 3*t**2 + a*t**2 + c*t**6 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 126  (b) 5  (c) -4  (d) 0  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0\/((-2 - -4)*-1) - -139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and 3159.\nAnswer: 3159.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11113 + -3?\nAnswer: -11116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81 + -79. Suppose 0 = -3*a + 3*o + 21, 6*a - 2*a + 4*o = -4. Solve p*c + a = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88, -2, 4 in decreasing order.\nAnswer: 88, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-10)\/(-8) - (-65791)\/44*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 8*a + 2. Let h be v(10). Let t(o) = -o**3 - 8*o**2 + 12*o + 29. Let i be t(-9). Solve -2*m + 20 = -4*c, -m + 3*c = -i*c - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(-1\/3)\/s)\/s*s)\/s)**(-41)\/(s**(-3\/2)\/s*s\/s**(-2\/13)))\/((s**1)**(5\/4)*(s\/(s*s*s\/(s*s*s**(-2))))\/(s*s**(-2\/5)\/s)) assuming s is positive.\nAnswer: s**(75943\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/164 or -7.0693?\nAnswer: 3\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 73\/1153772?\nAnswer: 73\/1153772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3\/13 + 5048610*j**2\/13 + 10097226*j\/13 + 5048614\/13 = 0. Calculate j.\nAnswer: -1, 2524307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -433 + 196. Let b = j + 236.999533. What is b rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-6*((sqrt(171) + sqrt(171)*-4 - sqrt(171)) + 5 + -5 + (sqrt(171) - ((sqrt(171) - (sqrt(171) + sqrt(171) + 1)) + sqrt(171)))))**2.\nAnswer: -648*sqrt(19) + 55437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 345265.\nAnswer: 5, 199, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29113601 and 14795?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in -0.2, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -858?  (a) 0.2  (b) -4  (c) 152  (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 11:38 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -6*f + 9. Suppose 116 = 4*x + t, -3*x - 3*t + 96 = -0*t. Let p = x + -28. Solve -4*w - 23 = 3*r, f*r - 2*w + p*w + 11 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 5. Suppose o - 1 + 3 = -j, 22 = 5*j - m*o. Let i = 3 - j. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 2\/9, -6 in increasing order.\nAnswer: -6, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -289786, -289787, -289778, -289753, -289706, -289631, -289522?\n\"Answer: x**3 - x**2 - 5*x - 289781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, b: 9, f: 8, p: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*j**2 + 14 - 18 + 17*j**2 as g + p*j + n*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 4*t = -2*t - 7, 9 = 5*v + 4*t. What is the closest to 1 in v, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 848 divide 11228145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 265 = -15. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 437516 is divided by 555?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 6*u + 2. Let t be h(6). Let v(f) = 42*f - 121. Let m be v(3). Put -2, t, m in decreasing order.\nAnswer: m, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5260 by -7147.\nAnswer: -5260\/7147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -812896 + 3?\nAnswer: -812893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 5*y - 1. Let g be k(3). Let u = 157.995 + -161. Let m = u - -0.005. Which is the biggest value?  (a) g  (b) -2\/9  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.01  (b) -33  (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20\/3*i + 1\/3*i**2 + 19\/3 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5512896 and 4823784?\nAnswer: 38590272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.7, -135, 6, 111\/7 in increasing order.\nAnswer: -135, -0.5, 0.7, 6, 111\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 290.5 and 6.7.\nAnswer: 1946.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 26 = 2. Let k be m\/30 + 36\/15. Solve k*s - 11 = t, -t - 4*s = -2*t - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-7)\/(42\/9))\/(3\/(-4)). Suppose 0*o = 2*o - 4. Solve -n = 4*m + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202121 (base 3) in base 8?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 6*x**2 - 7*x**2 - 19*x**2.\nAnswer: -20*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 305 and 185501?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 175, 278, 303, 244, 95, -150?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298*m + 277*m + 264*m + 310*m - 1251*m.\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16.2 + -16.3112. Round g to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 9*z**2 - 18*z + 13. Let b(u) = -61*u**2 + 24*u + 3. Let d(k) = 34*k**2 - 12*k - 3. Let p(j) = -4*b(j) - 7*d(j). Determine 5*o(t) - 7*p(t).\nAnswer: 3*t**2 - 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 40588551.1365 and -4.\nAnswer: 40588547.1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37187174 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -140*((2 - 0) + 0)*(-200)\/800?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -375?  (a) -3  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5 = -0*m. Let b(k) = -4*k + 5. Let y be b(1). Let c be 48\/(-8) + (-3)\/6*-6. Put c, -5, y, m in decreasing order.\nAnswer: m, y, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33401*c**5 - 2*c**4 - 1679968*c?\nAnswer: -668020*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3059 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -29399 rounded to the nearest one hundred?\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -12 - (-4 + 2) - -4. Let w = 10217 + -10192. What is the third biggest value in 2, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*v + 21 = -38*v. Let k = 113\/5 + -23. Let d = 0.1 - 1.1. What is the closest to d in k, v, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -20.18, -1\/5, 0, 3\/2, -9, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3580, -3559, -3512, -3427, -3292, -3095, -2824, -2467?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -1\/2, 14, 4.19.\nAnswer: -5, -3, -1\/2, 4.19, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6356 + -6233. What is the least common multiple of t and 205?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 2:19 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(1539) + 0)*-1 - sqrt(1539)) + -2*(sqrt(1539) + -1))**2*4.\nAnswer: -492560 + 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -4. Let t be (r\/(-3))\/(7\/21). Suppose -2*v = -0*v - 154. What is the highest common divisor of t and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77 - 29) + -25 + (-37 - -93).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3205922563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 8:28 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15285 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*a**4 - 41*a**3 + 13*a**2 - 11 wrt a.\nAnswer: 96*a - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -89 + 76. Is (-1893)\/(v + 5 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1932\/(-648))\/(-23)*(15\/25)\/(350\/25)\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose 5*m = -p + 42, -5*m = -3 - 12. Let s be 2\/4 - 3\/(-2). Suppose p = s*j - 1. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16382 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: Calculate -366508 divided by -796.\nAnswer: 91627\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - -21388?\nAnswer: 21371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 1175*w - 1357. Let z be k(8). What is the greatest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -54 + 17*x - 41 + 15 - 40 + 12. What is the remainder when 702 is divided by q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 168.33 - 169. What is x rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 61  (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 10. Find the common denominator of 23\/6 and 270\/16*t\/(-60).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/80289576 and -115\/2230266.\nAnswer: 80289576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i + 27. Let m be v(-1). Suppose 39*p = m*p - 70. Which is the third smallest value?  (a) 0.71  (b) p  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 5:33 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 48980.14.\nAnswer: 48981.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b**3 - b**2 + 7*b - 1. Let s(p) = p**3 + p**2 - 1. What is 3*s(y) + x(y)?\nAnswer: -2*y**3 + 2*y**2 + 7*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 3*u - 7. Let g be z(5). Suppose -g*d - 6 = -0*d. Is d < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 184, -72, -4, -10, -3.\nAnswer: -72, -10, -8, -4, -3, 4, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6311030 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132804 to the power of 1\/2, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from viviiviidv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*b = 285, 33*m + 6*m + 150 = 42*m - 0*b - 3*b for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 350890 or -16?\nAnswer: 350890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**3 - u**2 - 2*u + 1. Let p be n(-2). Let i be -2*(-4)\/4*p\/(-10). Solve 5 = -h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -23, -y - 1102*s + 1100*s + 49 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2093566, -2093575, -2093584, -2093593?\nAnswer: -2093602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -5*d - 3*r, -4*r = -4*d - 2*r + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22940 - -22939.999986155. Round n to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -77086*c + 847916. Give l(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/140)\/(12\/14). Let l(c) be the third derivative of 0*c**3 + 1\/24*c**4 + 0 - 3*c**2 + 1\/120*c**6 - d*c**5 + 0*c. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19130 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: Let h(v) = 46*v**2 + 8*v. Let o(b) = 5*b. What is h(o(q))?\nAnswer: 1150*q**2 + 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 - -51. Suppose -1383 = -i*b - q, 0*b - 5*b - 2*q = -3455. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 72 + -48. What is the greatest common divisor of 60 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -13136?\nAnswer: 1\/13136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 8039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 204 + -60. Let g = -16 + o. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -52, -50, -46, -40, -32, -22?\n\"Answer: i**2 - i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 3. Let y be 20\/(-15)*z\/(-4). Which is the third smallest value?  (a) 0  (b) y  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l**2. Let u(p) = 2*p**2 + p**2 - 13 - p**2. Let c(m) = -m**2 + 6. Suppose 0 = i - 3 + 16. Let v(o) = i*c(o) - 6*u(o). Give r(v(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/32*6\/9. Is -2\/7 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32311 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5180 and 462?\nAnswer: 170940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 13 = -2, -v - 5*s - 9 = 0. Let n = 2 - 0. Let p = n + -2. Solve p = 2*i - 2 - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 106*y**2. Let n(g) = 7*g. Determine a(n(o)).\nAnswer: 5194*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - -392984 - (-188)\/47. Suppose 330011 = -15*s - r. What is s rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.1202 plus 2.57?\nAnswer: -3.5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -96*u**2. Let a(o) be the first derivative of o**3 + 746. Calculate a(k(l)).\nAnswer: 27648*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 10 - 25. Let j = 11 - 4. Let r(s) = 5*s**2 + 2 - 4*s**2 + 0*s**2 + j*s. Calculate r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a = j - 31, 80*a = 83*a - j + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -261*i - 625 - 167, 3*i + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -214 + 218 + -3 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - x = -0*x - 73, -2*s + 20 = 5*x. Let a = 16 + -10. Let w = 17 - a. Solve 5*y - q + s = 0, -4*y - 3*q = -5*y + w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10*(-10)\/(-25) + 13\/1. Solve -o - 1 = 1, -o - f = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4709431 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4103*z - 209237. Give r(-51).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -508279.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 85 + 69 = 0, 3*w + 905 = s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12580, -12583, -12586, -12589?\nAnswer: -12592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*15\/(-40)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 26*n + 62. Let m be x(28). Solve -3*t = m - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 414 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2618, -0.4, -57.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-39))\/((-852)\/5538). Factor -s + 1\/3*s**5 + 2\/3*s**3 - 2\/3*s**2 - q + s**4.\nAnswer: (s - 1)*(s + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 + 25215*a + 18618498.\nAnswer: 3*(a + 818)*(a + 7587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 57*b - 56*b - 26 = 0, y + 3*b = 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - 0.4185907?\nAnswer: -8.4185907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -15300000 rounded to the nearest 100000?\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237*h - 431458 = -175*h. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 989821.7 kilograms to micrograms.\nAnswer: 989821700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 19 - 210a?\nAnswer: -20b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 0 + 3*o - 5*o**2 + 3*o**3 + 2*o**2 + 3 - 6*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*w**2 - 441*w**2 + 152*w**2 + 151*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 11, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20316 or -20306?\nAnswer: -20316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*j - 4 - 12 + 16 + 0.\nAnswer: 128*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 12*f + 1. Suppose -292 = 2080*m - 2084*m. Calculate the remainder when m is divided by x(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 10*d + 18. What is the remainder when j(-6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 199566, 399134, 598702, 798270?\n\"Answer: 199568*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4402 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and -3232.9445.\nAnswer: -3233.3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, d: 3, v: 7}. What is prob of picking 2 v and 2 d?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66 and ((-2646)\/245)\/((-3)\/40)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r + 22*w - 27*w - 5, -5*r + w = 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17, 5, -21, -67, -139?\n\"Answer: -u**3 - u**2 - 2*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 88 + 1b3?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**6\/72 - 7*w**5\/24 + 25*w**4\/12 - 2*w**3\/3 + w**2\/2 + 34*w. Let t(v) be the second derivative of k(v). Factor t(h).\nAnswer: 5*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -1410420?\nAnswer: -1410412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3922*l - 13. Let o be d(1). Let n = o - 2252. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5 - (9 + (-693)\/162) and -65\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -9*n**2 - n + 1. Let o(r) = 46*r**2 + 5*r - 4. Determine -2*o(g) - 11*q(g).\nAnswer: 7*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of -16\/5*f**3 + 21\/10*f**4 - 19 - 18\/25*f**5 - 6\/5*f + 1\/10*f**6 + 27\/10*f**2. Solve l(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100110001111 + 11001?\nAnswer: -101100101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 152392 and 1032.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times 252615\nAnswer: 5052.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 33*k - 127. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (309*d - 21*d + 15*d)*(3 - 2 - 2).\nAnswer: -303*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/(-4) - (-3 + 11). Let q(r) be the first derivative of -109*r**4\/4 - r**3\/3 + r + 1. Is q(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4416731*z + 11434775?\nAnswer: 4416731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**3 + 2*v**2 - 2*v + 3. Let c(u) = -3*u**3 + 5*u**2 - 5*u + 6. Let y(i) = 2*c(i) - 5*f(i). What is the derivative of y(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 189, 397, 627, 879, 1153, 1449, 1767?\n\"Answer: 11*y**2 + 175*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**8\/336 + 7*p**4\/24 - 3*p**2 + 11*p. Let n(q) be the first derivative of r(q). Find the second derivative of n(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 727470 and 221940?\nAnswer: 13094460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 70d418?\nAnswer: 70d41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 80342635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 91121604433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.3 - -28.7. Let y = v + -29. What is the fourth smallest value in -0.2, y, -2\/7, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -430  (b) -0.06  (c) 175  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 2*u**3\/3 - 40*u**2 - 168*u - 572. Factor k(l).\nAnswer: 2*(l - 42)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 64. Let u be g\/27*(-2)\/7. Which is greater: u or 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 478*h*q**2 - 2*h*q*y + 2*h*y - 3354*q**2 + 3*y wrt h?\nAnswer: 478*q**2 - 2*q*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 2*q - 2. Let v be a(-3). Let r(f) = -4 + 16 - 2 + 2*f. Let h be r(8). What is the highest common divisor of v and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 11:34 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*w + 16*w + 2*w**3 + (-2*w**2 - w**2 + 4*w**2)*(6*w + 11 + 9 - 21).\nAnswer: 8*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 6*h - 50*w + 57*w - 13, w + 21 = 22*h - 24 - 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g\/(g*(g*g**1)\/g)*g)\/g)*((g*g**5)\/g)\/g)\/(g*g\/(g*g**(-1)))**(-2\/57) assuming g is positive.\nAnswer: g**(346\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6102207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 6*c**3 - 3*c**2 - 39*c + 63. Let h(w) = 5*w**3 - 2*w**2 - 40*w + 54. What is 6*b(j) - 7*h(j)?\nAnswer: j**3 - 4*j**2 + 46*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1450, 2892, 4330, 5764, 7194?\n\"Answer: -2*m**2 + 1448*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (0 + (sqrt(1100) - (sqrt(1100) + 0 - sqrt(1100)))*-5)**2.\nAnswer: 27503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (11 - -1) + 18 + -21. Solve t = 3*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u - 4. Let f(r) = r**2 + r + 1. Let o be f(0). Let b(i) = -6 - 5 + 29 - 11 - 8. What is o*g(k) - 5*b(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(1*sqrt(4)*-1) + (sqrt(32)\/sqrt(392))\/sqrt(2))**2 + 1.\nAnswer: 121\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -15*k**2 - 270308*k + 270308*k. Let o(c) be the third derivative of c**4\/24 + 2*c**2. What is p(o(n))?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141a124 (base 11) to base 7.\nAnswer: 26525652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 21\/5*z**5 - 6\/5*z**2 + 0 + 6\/5*z**4 + 21\/5*z**3 = 0 for z.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -1. Let r(b) = -40*b**2 + 8*b**c + 2*b**3 - 3*b**3 + 33 + 9*b + 13*b**2. What is the tens digit of r(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 11*b = 0. Suppose 24 = -7*a + 10. Sort b, 1, a in ascending order.\nAnswer: a, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzxzzzxzzzz. What is prob of picking 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do 1230\/9547 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 - 5*h**2 + 5*h**2 - 16 - 158 to q*h + c + p*h**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 3 + 33. Calculate the remainder when 19 is divided by 1 + -2 + 48\/l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 238.\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 53*h**3\/3 - 99*h**2\/2 - 92*h. Find the first derivative of l(j) wrt j.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -222*a + 27873 - 25653 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 621*w**3 - 2*w**2 + 6231 wrt w.\nAnswer: 1863*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 72 times -0.2\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1202*r**2 + 3*r**3 - 1202*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x + 1756 + 1763 + 1764 - 5283.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 448518?\nAnswer: 2, 3, 7, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 18*x**2 - 4. Let q(f) = 17*f**2 - 5. Let l(u) = 4*q(u) - 3*t(u). What is the derivative of l(y) wrt y?\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1\/k)**(-4\/11)\/(k**(1\/6)*(k\/k**4)\/k))\/((k\/(k**2*k))**(4\/15))**(-39) assuming k is positive.\nAnswer: k**(-509\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 504 - 234. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2\/17, 2\/7, 78?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -233 + 465\/2. Let o(x) = x**2 - 9*x - 6. Let c be o(10). Let b = c - 4. What is the closest to k in -5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and -0.3388.\nAnswer: -0.3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(6)*5 - (sqrt(12)*4)\/sqrt(3))\/((sqrt(14) + sqrt(1400)*-2 + sqrt(1400))\/(sqrt(252)*2 - sqrt(252))).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4001232 is divided by 150.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (1 + (-2*sqrt(363) - sqrt(363))*-3)**2.\nAnswer: 198*sqrt(3) + 29406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 11484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45934.\nAnswer: 2, 7, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of -21*b + 0*b**3 + 1\/10*b**5 + 0 - 19\/2*b**2 + 0*b**4. Differentiate w(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/12 - (-5)\/36. Let y = -11\/9 + z. Are y and -1\/3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -709799 >= -709792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -797 divided by -2232\nAnswer: 797\/2232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041568 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17867\/6 + 2978. What is the nearest to 1 in 5, 85, 2\/19, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 2*v + 52, -3*m + 5*m = -v + 55. Calculate the remainder when 99 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 2. Let k be v\/1 + 2 - 6. Suppose 4 = -w, -56 = -4*s - 2*w - 60. Sort k, s, -3 in ascending order.\nAnswer: k, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-7 - -18) + 2 + -12 + 54 + 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 0. Let l(o) be the first derivative of o**4\/2 - o**3\/3 - 2*o**2 + 2*o - 1. Let u(q) = q**3 - q**2 - 1. Let v(f) = l(f) - u(f). Calculate v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4023)\/(-39) - (26\/2 - 17201\/1339).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -8 + 10. Calculate the smallest common multiple of 6 and ((-1 - 3) + 2)*n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r + 163756 = -508056 - 121088. List the prime factors of r.\nAnswer: 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/(n*n**(-2\/9)*n*n))\/(((n*n**(-2\/9))\/n)\/((n\/n**(-3))\/n))*(n**(-5)*n**(2\/3))\/(((n**(6\/7)\/n*n)\/n)\/n**5) assuming n is positive.\nAnswer: n**(79\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 8 = -b. Let o(k) = -8*k - 4. Let h(v) = -10*v - 7. Let r(u) = -u - 1. Let l(w) = h(w) - 3*r(w). Let m(i) = -6*l(i) + 5*o(i). What is m(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - -5. Let w be 1\/(-2) + 3\/y. Let x be 450 + w*2\/6. What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -133 - -132.8. Let d = 0.08 + -0.38. Let j = 0.3 + d. Put j, p, 2\/9 in descending order.\nAnswer: 2\/9, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 689 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.67 + -2.77. Is 10\/9 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -10940.1184?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*v + 3*v + 11, -g - 1 = v. Suppose 0 = v*d + d + 2*t - 46, 37 = d + 5*t. Calculate the lowest common multiple of 16 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q**2 + 8*q - 19. Let h be j(15). Suppose 0 = -l - h - 1014. Round l to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 14*r - 20*r = -12692. What is the remainder when 338 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -327*h + 330*h - 9 = 0. Suppose 0 = -h*y + 6*y - 486. What is the highest common factor of 12 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (120 - 120) + 1 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-63)\/14) + 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 r when four letters picked without replacement from rrrqqaqaaaaaaarr.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12482 - 5694. Suppose -17*r + 12*r - 3*y = -33964, -r + y = -t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m. Let h(i) = 932263*i**2 - 2*i. Give h(f(k)).\nAnswer: 932263*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -m**4\/6 - 14*m**3\/9 + m**2\/3 + 14*m\/3 + 62. Factor o(j).\nAnswer: -2*(j - 1)*(j + 1)*(j + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -46 in increasing order.\nAnswer: -46, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/(-6))\/(((-1)\/(-1))\/3). Let q be (2 + f)*(-4)\/4 - 5. Let n be q - 156\/(-28) - 3. What is the closest to -2\/13 in -2, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 0*v - 4\/525*v**7 + 0 - 3*v**2 - 1\/15*v**3 - 1\/30*v**4 + 1\/50*v**5 + 1\/75*v**6. Find o, given that d(o) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*a + 1. What is the remainder when 173 is divided by (-2 - -3)*a*1*-16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21*u + 3*u - 2 + 85*u)*(u - u - 2*u) in the form r*u + a + h*u**2 and give h.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/70137 and -11\/16357507.\nAnswer: 147217563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 2*d + 2, 0 = 2*n + 3*n + 5*d - 25. Suppose -3*c = -3*m - n*c + 4, -4*c = -4*m. Solve -m*z - 2*z = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-1) + 1 + 0. Suppose -4*z - z = -5. Let j = z + u. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -84*i**3*m**4 - 2*i**3 + i**2*m**4 + 4606*i + 2 wrt m?\nAnswer: -336*i**3*m**3 + 4*i**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1268081893?\nAnswer: 13, 2447, 39863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 3:55 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = n + n. Let l(w) = -9*w**2 - 238*w - 65. Let d be l(-26). What is the greatest common factor of d and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 1:37 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14025074 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + n + 0*n)*(-n**3 + 4*n**3 + 0*n**3).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o = -13*o + 92. What is the lowest common multiple of o and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23475985051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/15 + 76\/10. Let d be (-15)\/2*g\/(-12). What is the second derivative of 2*p**2 - 2*p**2 + 37*p**5 - 31*p**d - 13*p wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -741 at most as big as -742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*t**3 + 3*t**3 - 2*t**4 + 3*t**3)*(-5 + 4 - 3) to the form v + q*t**4 + f*t + j*t**3 + p*t**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 3*i - 660, 3*d + 9*i - 6*i = 993. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 28*f**3*p**2 - 480*f**3*p - 2*f**3 - 2*f**2*p**2 + 768*f**2*p - 144*f**2 wrt f?\nAnswer: 168*p**2 - 2880*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 381 - 344. Let b = -37 + u. What is the closest to 0.1 in b, -0.04, -3, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(2) + -2 + -4.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 + -49. Let z = 26 + f. Suppose -g + z = g. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) -246  (b) 3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 310*q**2*v**4 + 2*q**2*v - 457*q*v wrt v?\nAnswer: 3720*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29951137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8995*u - 2 + 8325*u + 3388*u.\nAnswer: 20708*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/7 + 38*i**3\/7 - 160*i**2\/7 - 200*i\/7.\nAnswer: -2*i*(i - 10)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d - 215 = -15*d. Suppose 3*b = 34 + 2. What is the remainder when d is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/840 and 121\/134820.\nAnswer: 269640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 241648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(77)*-2 + sqrt(77))\/(sqrt(121)\/(-3*sqrt(11)))*-6.\nAnswer: 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 AM and 11:35 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*-1*((-143)\/39 - -2). Let f(l) = l**3 - 6*l**2 + 4*l - 5. Calculate f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.893 + -184.707. Let h = -187 - p. Which is the closest to -1?  (a) -4\/15  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of r**4\/12 + 4*r**3\/3 + r**2 - 34*r. Let f be u(2). Which is greater: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - p + 12, -3*p + 0*p + 15 = 2*s. Suppose 5*n - 17 = 3. Factor 3*z**4 - z**3 - n*z**5 + 7*z**4 - 4*z**s - z**5.\nAnswer: -5*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**5\/40 + 11*c**3\/3 + 34*c**2. Let i(z) be the first derivative of q(z). Let x(r) = -19*r. Give i(x(n)).\nAnswer: 57*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-2 + 7) - (2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h**2 + 3*h**2 - h**2 + h**2 - 3*h - 2. Let y be w(4). Factor -21 - 3*c**y - 10 + 12*c + 12*c - 17.\nAnswer: -3*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -5*f**2\/2 + 2*f - 2. Let n = 31 + -28. Suppose b + n*b - 3*z = -4, 2*b + 16 = 5*z. Determine q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (116\/(-6))\/((-6)\/81). Suppose 0 = 2*c - q + 13. Does 14 divide c\/9 - (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p**2 + 612 + 608 - 1220. Let g(f) = -656*f. Give o(g(z)).\nAnswer: 1721344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lrrmllllmlllmll. What is prob of sequence rlmm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54074735?\nAnswer: 5, 11, 13, 75629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 478 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143966.3 minutes to seconds.\nAnswer: 8637978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -619.89 times 28.8\nAnswer: -17852.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -162 + -5. Let n = -164 - g. Is n >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7526 is divided by 1873?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c - 10. Let t be w(5). Let m be 8*(t\/(-4) + 1). Let p = 37 - m. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 894 is divided by 241?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 3*j + 14 = 2*o, 0 = -3*o + 3*j + 18. Solve 0*w = -o*l + 2*w - 22, 0 = -3*l + w - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 10*t + 1053 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101111 - 1?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 = -2*j + 4*p, -4*p + 4 = 0. Is j\/((-19448)\/98215 + 1\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -8 - f + 7*f - 7*f. Let g be i(-8). Suppose g = 2*h + 3*h - 150. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91581 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 136 and 924?\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113524 is divided by 37836?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -3, 6 in descending order.\nAnswer: 6, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, e: 4}. What is prob of picking 2 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5*o**3 + 4*o**2 - o - 3. Let r be -4 - 0 - (28 - 29). Let k(y) = 10*y**3 + 8*y**2 - 2*y - 7. Calculate r*k(d) + 7*t(d).\nAnswer: 5*d**3 + 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 50 divided by -16537\nAnswer: -50\/16537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -9 + (10 - 9 - 13) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(117) + 1 - sqrt(117)) + -1)*-2 - 6*(3 + (sqrt(117) - (sqrt(117) + 0)) + sqrt(117) - (-1 + sqrt(117) + 0)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29454.\nAnswer: 2, 3, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {o: 2, n: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n**2. Let b(c) = c**2. Let k(i) = 2*i**2. Let x be (-12)\/20 + (-46)\/(-10). Let l(v) = x*b(v) - k(v). Determine w(l(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-5) - (-7)\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -236719200 to the nearest one million.\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + l - 414 + 404 = 0, -2*j = 4*l - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 223851 and 171709.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**3 - 21*a**2 - 56*a + 261. Determine f(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452 is divided by 132.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, 58, 54, 86, 166?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q + 16 = -11*q. Suppose 2*g + 36 = q*x, -g = 3*x - 6*x + 44. What is the second derivative of -7*p + 1611 - 1611 + x*p**3 wrt p?\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115047531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -1.3. Let h = -0.91 + -0.09. What is the closest to h in 4, y, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f*s**3*x**2 + 3*f*s**3 - 3*f*s*x**3 - 2*f*s*x**2 - 5*f*x**3 - 2*s**3*x**3 + 4*s**3*x**2 + 5*x**3 - 18*x wrt x?\nAnswer: -18*f*s - 30*f - 12*s**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107088.\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-598 + 590)*(61\/(-9) + 20\/(-90)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.5 - -0.5. Let o = 0.95 + -0.65. Let z be (2\/10 + 0)*2. Which is the nearest to z?  (a) i  (b) -1\/2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.08, -13\/8, 1, 1.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 - 298*l**2 + 6960*l - 30600.\nAnswer: -2*(l - 15)*(l - 6)*(l + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 151763869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6563*n - 15996*n = 509382 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.6 or 45\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 12 + 13 = 0. Suppose -3*g + 20 = -g - p*j, 4*j = -8. Solve 0*w = -w + g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 6139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.11 - 0.39. Let j = 14.5 - 3.5. What is the second smallest value in j, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 55a9153 + -1?\nAnswer: 55a9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 19*d**2 - 33*d + 141. Let o be n(6). Calculate the greatest common divisor of o and 5187.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 437912 is divided by 109477.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3470*p + 7*g + 105 = -3466*p, 5*p - 111 = 2*g for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i. Let w(r) = -r**2 - 4*r. Calculate 4*p(o) - 5*w(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6911*g**2 - g - 10344 wrt g?\nAnswer: -13822*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 e when three letters picked without replacement from vafvvel.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/21?  (a) 3  (b) -5\/6  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418*l = 421*l + 1740. Let n = -394 - l. Calculate the lowest common multiple of n and 2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 12:48 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-1)\/(-2)*(-9)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 679 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**(4\/3)\/(t**(-17\/3)\/((t*t**0*t)\/t)) assuming t is positive.\nAnswer: t**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of 73*v**5\/5 - 15*v**2 - 2*v - 28. Find the second derivative of j(p) wrt p.\nAnswer: 876*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**3 - 12348*b**2 + 110781*b + 443556.\nAnswer: 3*(b - 4107)*(b - 12)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 5*b = -689. Let q = b - -67. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87613*s**4 + s**3 + 2*s + 54217?\nAnswer: 1051356*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -230  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**4\/12 - 4*q**2. Let p be m(10). Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 1971505351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**2 + 0*r**2 - 13*r**2 + (1 - 1 + 1)*(-2*r + 2*r - 2*r**2) + (61*r - 491*r - 26*r)*(2 + r - 2).\nAnswer: -468*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.03018 - -0.09018. Suppose 0 = -y - 9 - 1. Let m be ((-8)\/y)\/((-6)\/(-30)). What is the closest to w in 1\/5, m, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 15. Let x be 3\/6 + 58\/m. Let q = x - 10. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18 - -32) + 14 - (-11 - (13 + -14))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 2*h + 4, 12 = -9*g + 4*g + 2*h. What is the units digit of (-1)\/g - 60\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 12:38 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 224943\/76 - -8141615\/684. Let r = 14858 - g. Calculate the common denominator of (8\/4)\/((-20)\/(-61)) and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -302, -806, -2174, -4838, -9230, -15782, -24926, -37094?\n\"Answer: -72*p**3 - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1154)\/2)\/(-2 - -3). Let z = 233 - w. Let k = z - 319. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -15 + 15 + 9*h**2. Let j(o) be the third derivative of -o**4\/12 - o**3\/2 - 2*o**2 - 9653. Calculate j(x(q)).\nAnswer: -18*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x + 2. Let f(d) be the third derivative of -d**7\/1260 + 2*d**4\/3 - d**2 - 37*d. Let s(t) be the second derivative of f(t). What is s(i(g))?\nAnswer: -2*g**2 - 8*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 2)*-13*(4 - 3). Solve -2*y + b = 3*k + 2*k, 4*y - k - 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*q + 6. Let s(i) = -i**3 + i. Let c be s(q). Is c bigger than 2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -273219, -546418, -819617, -1092816, -1366015, -1639214?\n\"Answer: -273199*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 21 = -7. Suppose 1 - l = -3*z. Solve c = -4*a - 0*a + 23, -4*c = -z*a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3727*f*o**2 + 906*f - 2*o**2 + 3*o wrt o.\nAnswer: 7454*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -59.90001485 + 59.9. Round k to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 6 + 0 = 0. Suppose m + v - 1 = 0, m - v - 1 = s. Let n = 0.38 - 0.58. Which is the smallest value?  (a) -5  (b) m  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -224, -435, -638, -833, -1020?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 104 - 250. Calculate the common denominator of a\/4*(0 + -1) and (2562\/(-40))\/(-3) + 6\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175 + 5743.44037.\nAnswer: 5568.44037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*r - 98 = -7*r + 45*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 6*b**3 + 28*b**2 - 11*b - 2. Let i be n(-5). Solve 9 = i*z + 3*y, -4*z + 3*y - 8 = -20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**3 - 4*r**2 + 4*r + 16. Does 48 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 7*n**2\/2 - 4*n + 10. Suppose 0*z + 5*z - 4*y = 35, 0 = -z - 4*y - 17. List the prime factors of m(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 9*u**2 - 1. Let m = 20 - 17. Suppose 7*y = 10*y - m. Calculate r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2012010 - -10?\nAnswer: -2012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*p**2 + 17*p**2 - 45*p**2.\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3625.89 - -3610. Let w = 0.11 - o. Let p = w + -15.6. Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*q = 49*q - 15. Let v = -0.11 + -3.89. Which is the nearest to 1\/4?  (a) v  (b) 4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -3*f - 24. Suppose 3*u - t - f = 0, -t + 6 = -4*t. Suppose 5*j - 3*r + 2*r = 26, -5 = u*r. Solve 0 = k - j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - q)*(8 - 6*q - 8) - 16*q**2 + 47*q**2 + 10*q**2.\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3)\/l)\/l)**7\/(l**(-10)*l*l**7) assuming l is positive.\nAnswer: l**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from jttjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32 - 46. Let t = -14 - k. Is t at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 10:01 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14205*a**3*h*s + 8*a**3*h - 11*a**3*s - 18*a**2*h - a*h*s - 2*a*h + 41426*h*s wrt a.\nAnswer: -85230*h*s + 48*h - 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18832, 18830, 18828, 18826, 18824, 18822?\n\"Answer: -2*y + 18834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.0000147 + -4. Round i to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-34)\/(-4) + (-81)\/(-162). Let i = 59 - 45. Is i at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/6 - (-56)\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 3*s + 6 = -2*m, s = 4*m - 6. Let b be (10*-1)\/(m\/7). Let k = b - -177. What are the prime factors of k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(16*(-16)\/(-768) - (-110)\/(-6))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 12010?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 324\/(-36792)*(-980)\/105\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 243*x + 54. Let j(g) = 4*g + 1. Let w(v) = c(v) - 60*j(v). Let k = -3 + 0. Let f(z) = -2*z + 5. What is k*w(y) - 4*f(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 79 and 69599?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m + 2*m + 0*m + (1 + 1 - 7)*(-m - 5*m + 4*m) - 4*m + 3*m + 0*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**2*j**3 + 5*d**2*j**2*s**2 - d**2*j**2*s - 23*d**2*s**2 - 94*d*j + 12366*j**4 - 31*j**3*s**2 + 3*j**2*s**2 wrt j?\nAnswer: -12*d**2 + 296784*j - 186*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -249, -439, -641, -861, -1105, -1379?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (97 - 115) + (26 - -2) - (14 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-203)\/(25578\/504))\/(4\/9*-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 - -64 - ((20 - 10) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 704008 = 4*j. Suppose p = 4*k - j, 2*k - 175996 = -0*k - p. Round k to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 7*d**2 - 5*d - 8. Suppose 4*w + 35 = -w. Let t be g(w). Suppose -6*x - 9 = -t. Which is the second biggest value?  (a) x  (b) 1\/4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58141 = 3*w - 36635. What are the prime factors of w?\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 2*a + 442, -5*a = 19*y - 20*y + 241. What is the highest common factor of y and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -6*l - 13. Let f(k) = -3*k - 6. Let g = -177 + 183. What is g*a(w) - 13*f(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88*q**3 - 2*q**2 - 50*q.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -477, -492, -509, -516, -501, -452, -357, -204?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from lxvxddxxlvd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-75488)\/(-84) - (5\/3 + -2).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*g + 10. Calculate the remainder when 20 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -275*k + 9311. What is f(34)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1 + -5 + (sqrt(450)\/(sqrt(9)*-2) + sqrt(3200) + (sqrt(3200) - sqrt(3200)*-2) + sqrt(3200))\/((sqrt(360)\/sqrt(36))\/sqrt(4)))**2.\nAnswer: -632*sqrt(5) + 31224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 873841 is divided by 1566?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3.7  (b) 9  (c) -3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7 is divided by 5\/((-1)\/(-4 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u + 8. Let w be s(-5). Let q be -5 - ((1 + w - -3) + -127). Calculate the highest common divisor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -94.8\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -94 + 98. Let s(m) be the third derivative of 1\/180*m**5 + 0 + 0*m**3 - 2*m**2 + 0*m - 1\/72*m**d. Factor s(r).\nAnswer: r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*i - 0*i. Suppose 55 + 81 = i*f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 38*c - 128. Solve -5*b = -3*r - 6, 0 = -5*r - c*b - 0 + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-30)\/8)\/(3\/(-8)). Let n be (-2)\/5 + 4\/x. Let u be (n + 0)\/(1 + 1). Solve u*q + 5*q + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2888722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-6 + 2 + -3 - (-25 - -33))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75.6 - -43. Round t to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 less than -787661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-9 - (1 + (-2 - 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 401120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/11)*o)**(2\/51)*(o**(-1\/4))**(-1\/18) assuming o is positive.\nAnswer: o**(1147\/13464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24019, 43457, 62895?\nAnswer: 82333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -n - 3, 0*n + 28 = 4*n + 4*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -483 + 926. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bt when two letters picked without replacement from ftfbcfaccctcfctc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1358116.74+94\nAnswer: 1358210.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001227281 rounded to 5 decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 times 0.27?\nAnswer: -27.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 330*k + 2. Let p(w) = 54*w. Give p(x(i)).\nAnswer: 17820*i + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3ac5 - 4?\nAnswer: 3ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/2 + 4\/8. Let w = 2 + b. List the prime factors of w + (5 - 4\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 12*n**2 - n + 42. Let d(o) = -20*o**2 + 2*o - 90. Give 6*d(l) + 13*j(l).\nAnswer: 36*l**2 - l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -866501*s**3 - 865694*s**3 + 1733785*s**3.\nAnswer: 1590*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d - 2. Let c(j) = -3. Determine -3*c(r) + 7*l(r).\nAnswer: -7*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence enc when three letters picked without replacement from nxiexixnxacn?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 11 = -h, -h + 4*j = -0*h + 13. Let o be (-1)\/(-2)*1*4. Suppose -3*m + 2*s + 1217 - 1204 = 0, 2*s = m - 11. Put o, h, m in decreasing order.\nAnswer: h, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1801131 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**3 - r**4 + r**3)*(0 + 2 - 1) + 683*r**4 + 1827*r**4 - 1190*r**4 to the form v + w*r**3 + k*r**4 + l*r + b*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -2 - 58 - (54 + -40 + 4)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 222421 (base 7) in base 2?\nAnswer: 1001100110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2867 - 1249*l - 735*l - 374*l + 270*l with respect to l.\nAnswer: -2088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*2*1\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2563217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30674389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/45 + 7\/(-24)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -25*y**2\/2 - 20*y + 12. Find the first derivative of o(d) wrt d.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyggggyyyyggygyggy. What is prob of picking 3 g?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(8\/3)*z**(2\/37))\/(z**(-9))**(1\/2) assuming z is positive.\nAnswer: z**(1603\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*r + 7, 2*o + 3*r - 2*r = -5. Which is the fourth biggest value?  (a) o  (b) -175  (c) 0.4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(18) - sqrt(36)\/(3*sqrt(2)))*2 - (sqrt(18)\/(-1*sqrt(9)) + 1 + (6*(sqrt(128)*2 - sqrt(128)) - sqrt(128))))**2.\nAnswer: 110*sqrt(2) + 6051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j + 2*g - 111 = -5*j, -3*j + 5*g = 59. Which is the third biggest value?  (a) j  (b) -2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 34 + -116 + 89 + (-69)\/(1\/1)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 49 + 13. Let c = 592\/7 - 869\/14. What is the common denominator of c and 81\/6 - 3\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 5:06 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m - 6*m + 4*m)*(-3*m - 2*m + 7*m) + (3 - 3 + m)*(3*m + m - 2*m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/((-12)\/10))\/((-4)\/(-24)). Suppose -5*h + 6*h - o = 2*t, -3*t = h + 10. Put -0.1, h, 2\/21, 2\/3 in ascending order.\nAnswer: -0.1, 2\/21, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = m - 1 + 10, -4*m = 12. Let x(z) = z**2 - 5*z - 5. What is the remainder when k is divided by x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.048666 and 26.2787.\nAnswer: 26.327366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 89*k**3\/3 - 100*k + 382. Differentiate z(x) wrt x.\nAnswer: 178*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10924598.09 rounded to the nearest 10000?\nAnswer: 10920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 1347*d**2. Let x(y) = 84733*y. Calculate k(x(b)).\nAnswer: 9671030696283*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 16. Let s(b) = b**3 - 4*b**2 - b. Let h be s(3). Let k be g(h). What is the derivative of 2 + 4 - 25 + 2*z**4 + k*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -193\/72870 and -17\/9140?\nAnswer: 66603180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1359043245 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 268416 and 268416?\nAnswer: 268416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 9*l - 4*u - 16 = 0, 0 = 2*l + u - 14. Suppose -120 = -l*j - 14*j. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -177693519, -355387035, -533080551, -710774067, -888467583?\nAnswer: -1066161099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30.693668 and -5.\nAnswer: -153.46834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007623 to 5 decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-3) + -4)\/1. Suppose y = -4*a + 3*o + 25, -2*o + 6*o + 4 = -2*a. What is the second derivative of 6*l**3 + 10*l + 2 + 2 - a wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19999 + 65418 + 135025 = 4635*j - 122548 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 6*f - 3*f = -18, 4*f + 11 = 3*x. Let p(z) = -9*z - 106. Let s be p(-12). Is s > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-16)\/12)\/((-2)\/21). Let k = 16 - f. Suppose 0 = 2*s - 10 - k. Solve 3*v + s = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -v - 4*h, 3*h = -0*h + 9. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 162 (base 7) to base 8\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 768 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 11*h + 9. Let y be (0 - -2)\/(-7 - h). Let a(w) = -5*w. Determine a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.04028 + -514.35972. Round u to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7835*p = -8349*p - 1847171 + 196403 for p.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2522981 - 2522981 + 9774*t.\nAnswer: 9774*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -2*q + 8, 1 - 13 = -3*q + 2*u. Suppose -3*s = -q*s + 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 207*y - 198*y - 31 - 68. Let u(o) be the first derivative of y + 0*o**2 + 0*o - 9\/2*o**4 + 19\/3*o**3. What is the third derivative of u(h) wrt h?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43783434?\nAnswer: 2, 3, 241, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(441) + 1*sqrt(441) + sqrt(441))*3 - sqrt(441))\/sqrt(7) - (-3*sqrt(189)*-4 - sqrt(189))\/sqrt(3))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -81 + 61.5. Let w = l - -19.9. Which is the closest to -7?  (a) w  (b) 2  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 226000 divided by 113.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 6. Let i(z) = -3*z - 19. Let g be 2*(-6)\/12*(5 + (-5 - -3)). Calculate g*i(c) + 8*s(c).\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 588 + -584. Which is smaller: q or 61\/17?\nAnswer: 61\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, -1, -17 in increasing order.\nAnswer: -17, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10763858 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: Let a(w) = 2*w - 16. Let d be a(10). Let x be 1\/d - 5\/100. What is the biggest value in x, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -8. Let g be (942\/20)\/(f\/5). Let d = g + -39. Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/14, -1\/4, 0?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 40*c**2 - 368*c - 101. Determine z(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 = -7*z. Suppose 4*j = z - 37. Is j greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 4411548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -771418\/145 - -5320. Calculate the common denominator of -46\/55 and b.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00138381904 to five dps.\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = v - 46, -62 = -2*v - 3*g + 8*g. Solve v*q - 47 + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 + 4)*(-v - 1 + 1)*(3 - 2 - 2) as b + t*v and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6654, 6636, 6600, 6540, 6450, 6324, 6156, 5940?\n\"Answer: -h**3 - 3*h**2 - 2*h + 6660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**3*g**2*k**3 - f**3*g**2*k**2 - 16*f**3*g*k**2 - f**3*g*k - f*k**2 - 1527*g**2*k**3 - 2*g*k**2 wrt k.\nAnswer: -12*f**3*g**2 - 9162*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(176))**2*3 + 0 + 4 + (1*sqrt(1584))**2).\nAnswer: -6348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - o - 18 = 0, 5*l + 0*o = 4*o - 33. Let a be (-4)\/(-6) + 26\/6. Put l, 3, a in decreasing order.\nAnswer: a, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**4 + h**4 - 2*h**4 + (0 + 0 - 2*h**3)*(-2 + 2 + h) - 129 + 129 - 41*h**4 - 4*h**4 + 5*h - 5*h to m*h + d*h**2 + s*h**3 + y + i*h**4 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4254 - -5b9?\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3137867743 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p**(1\/13)\/p))**25)**(-18) assuming p is positive.\nAnswer: p**(-17100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 10 + (-3 - (-4 + (3 - 2)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**5\/4 - 9*z**4 + 415*z**3\/4 + 225*z**2\/2 = 0. What is z?\nAnswer: -45, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 6:24 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 33838877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence at when two letters picked without replacement from {e: 1, t: 1, a: 2, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 99 + -97. Let l = -0.1 - -0.3. Which is the nearest to i?  (a) l  (b) 4\/5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2414*b - 1162*b - 353*b - 1.\nAnswer: 899*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*v**2 - 19*v**2 + 62*v**3 - 6*v**4 - 59*v**3 - 1 + 38*v**2 as u*v**4 + y + x*v + c*v**2 + f*v**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51094 is divided by 84?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 - 309*v**2 + 7182*v + 856. Calculate b(-175).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 2*y + 22*k - 27*k, 8 = 2*y + 3*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 3201\/8*b + 3\/8*b**2.\nAnswer: 3*b*(b + 1067)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + h = 2*h + 149, 0 = -i + 4*h + 26. Suppose 3*m = 6 - 15. Let c = m - -6. What is the greatest common divisor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(3\/2)*g**(-1))\/((g\/g**0)\/g**(-2\/15)))**(-1\/17) assuming g is positive.\nAnswer: g**(-11\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.121809752 to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13632 and 620256?\nAnswer: 1240512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1335 = -292*r + 297*r. Let c = r - 2139\/8. Which is smaller: c or 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/2 + -1 + 0. Suppose -5*b - 1 = -3*d, 0 = 5*b - 5 - q. Factor w - d*w - w**2 + 0*w**2 + w**3 + w**4.\nAnswer: w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 4*n + 15 = 0. Solve 0 = -n*r - 1 + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/(-7) - (12\/(-7))\/6. Let x = w - 0. Sort -41, x, 3 in increasing order.\nAnswer: -41, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {c: 3, n: 1, i: 6, e: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1326880103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*q = -5, q + 8 = 4*s - 5. Suppose 161 + 1085 = s*k. Is k a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.159 - 17.6.\nAnswer: -18.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1107636854.\nAnswer: 2, 59, 109, 86117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -13. Let l be 6\/w*63711\/(-4). Let p = -6364 - l. Calculate the common denominator of 57\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1036 (base 10) to base 3\nAnswer: 1102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -31, -104, -217, -364, -539?\n\"Answer: u**3 - 26*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.115 - -0.885. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9804 and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k - 3. Let a be y(-3). Suppose a*n = -n. Suppose n - 12 = -3*j. Sort -1, j, 0 in ascending order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 71 = -1041. Suppose 0 = 6*j - 76 + 4. Let v be z\/j + 4\/(-24). Solve 2*c = -3*q - 8, 4*q + v = -0*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29.3 - -24.3. What is the fourth smallest value in i, 3, 1, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 7 - 15 - c + 8. Let o be q(-2). Find the third derivative of 3*d**5 + 5*d**o + 2*d**2 - 2*d**2 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1065524 is divided by 355091?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s + 2*s - 4*s)*(0 + 0 + s) + (-270 - 136 - 606)*(-4*s**2 - 2*s**2 + 7*s**2) to the form t*s**2 + l + c*s and give t.\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 181523 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2287 - -2286.665. Is v equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -133, -299, -627, -1171, -1985, -3123, -4639?\nAnswer: -6587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*f + 42*f + 63*f - 10*f = 960 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -1381 and -12440\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5886 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q + 832. Let i(x) = 3*x**2 - 2*x + 2. Let v(n) = -13*n**2 + 8*n - 8. Let l(j) = 4*i(j) + v(j). Calculate a(l(b)).\nAnswer: 2*b**2 + 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -77*p - 5. Let f be j(-1). Suppose -5*i + 8*i = f. What is the lowest common multiple of i and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49346394.\nAnswer: 2, 3, 73, 112663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1540453453 to the power of 1\/2, to the nearest integer?\nAnswer: 39249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 20000?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - x - 280 = 0, -3*x = -3*g - 0*x + 282. Suppose 0 = -4*q + 20, g = 3*z - 0*q - 3*q. Suppose -f + 33 = -z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1362 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 66 = -5*n. Calculate the highest common factor of 187 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*d + 729 + 1638 = 413*d. Solve 102 = -d*r + 30 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5339036?\nAnswer: 2, 23, 131, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120843 = -2*p + 24563. Is (-1)\/(p\/16046 + 3\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 0*d + 0*d**2 + 2 - 2\/3*d**3. Let m(c) = c. Calculate m(p(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - (-50)\/15)\/(8\/3203544) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**3*x*y**2 - 49*j**3*x + 58*j**3*y**2 - 8*j*y**2 - 106*x*y - 2 wrt x?\nAnswer: j**3*y**2 - 49*j**3 - 106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 66652 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -109*j**4 - 41*j + 179 + 79876*j**3 + 107*j**4 - 79876*j**3 as l*j**2 + z*j + x*j**3 + y + m*j**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -2704993 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = a + 3*q, -a + 0*q + q = -10. Solve 7 = 3*k + n, -2*k = -a*n - 19 - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3487, -6976, -10465, -13954, -17443?\nAnswer: -20932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 186, 183, 166, 129, 66, -29, -162, -339?\n\"Answer: -x**3 - x**2 + 7*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 996, 1006, 1034, 1086, 1168, 1286?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5163*i - 14905*i - 567*i.\nAnswer: -10309*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4\/3, -1\/3, -27\/80, 0.22 in descending order.\nAnswer: 1, 0.22, -1\/3, -27\/80, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3402) + sqrt(3402)*2)\/(sqrt(6) + (sqrt(12)*-1 + sqrt(12) + sqrt(12))\/sqrt(2) - sqrt(6)) + 3 + 5*sqrt(7) + -1 + 2.\nAnswer: 4 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 + 15 + 3*x**2 - 6*x - 30.\nAnswer: 3*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -68.6 - 1.4. Let m = f - -67. Sort m, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.8 + 8.2. What is the third biggest value in g, -2\/13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 84*j**3 + 6*j**2 + 10*j - 35. Is u(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*(0 + sqrt(176)) - sqrt(176)) + sqrt(176))**2 - sqrt(176)*-2*-1)*1.\nAnswer: -8*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2808582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -513 - 507 + 844*i**3 + 1761*i**3 + 1020.\nAnswer: 2605*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2270409839862 from -0.1.\nAnswer: -2270409839862.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(4840)*1 - 6*2*sqrt(4840))\/(sqrt(320)\/(sqrt(60)\/sqrt(600))).\nAnswer: -33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**3 - 1978*a**2 + 27270*a + 29250 = 0.\nAnswer: -1, 15, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-375)\/(-50)*(-1)\/((-5)\/42). Let h be f\/(-21)*1\/10. Suppose -8 + 2 = 3*l. Is h >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 304 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -375 + 330 = -15*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2*b + 1)*(1 - 2*b - 1) + 8*b - 8*b - 8*b**2 to l*b**2 + i + s*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q - 1 - q + 3*q + 0. Let f be x(-5). Suppose -p = -f*p - 15. Is p less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(-2)*(-8)\/20. Let u = 6 - a. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62935 - 72275 = -1661*v - 12296 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -116948282 to the nearest one hundred thousand.\nAnswer: -116900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24482 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*x - 43*x + 39 = -819 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 633*d*m**2 - d*m*v**2 - 127*d*m + 177*d*v - 2*m**2*v**2 - 301*m**2*v - 8*m wrt m?\nAnswer: 1266*d - 4*v**2 - 602*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5614 - 479*c**2 + 2*c - 1487*c**2 + 5616 in the form o*c + j + u*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -2*(-36)\/16)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18068039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 289, -1732.\nAnswer: -1732, 6, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 8 = 5*r, 0*r + 4 = 2*a - r. Let z(v) = 13 + a + v**2 - 7 + 9 + 3*v. List the prime factors of z(-14).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -258 - -262. Which is the nearest to -2\/5?  (a) t  (b) -17  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 377438331?\nAnswer: 3, 233, 719, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9886217 and 131217062.\nAnswer: 1443387682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of g**3\/3 - 11*g**2\/2 - 122*g + 389. Let v be y(-7). Suppose -2*p - 5*o - 6 = 0, 3*p + 2*o - 4 = -2. Solve -v = 3*t + p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 1765 = 3*p + 2*v, 0 = 5*p + 5*v - 2945. What are the prime factors of p?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 10*t - 133. Let o be x(18). Solve 5*v + 4 + o = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yybzyzzhyzbbbygg. Give prob of picking 1 h, 1 b, and 1 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 552 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 8, i: 5}. Give prob of sequence tti.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 514, 1035, 1558, 2083, 2610, 3139, 3670?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 1 + 1)*(2*b**2 - 2*b**2 + b**2)*(-21 + 76 - 37).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**3 - 46*s**2 + 258*s - 191. What is p(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -8*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + 3*m - 7. Let n be d(-6). Let k be (-2)\/n + (-8)\/(-44). Let j be 176*(-10)\/(-160) - 14. Put -49, j, k, 0.1 in ascending order.\nAnswer: -49, j, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12.99999868 + -13. Round b to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iis when three letters picked without replacement from szshimihihxhhsihsih?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + 4*a)*(3 - 30 - 3).\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -437 and 32.233?\nAnswer: -14085.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 21*u - 12. Let n = 23 - 39. What is the tens digit of r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -5 + (2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -28, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 151744607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q**3 - 9 + 4*q**2 + 16*q**3 - 6*q**3 - 8*q**3 + 6 - q to u + j*q**2 + h*q + a*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*i + 4*t, t + 2 = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/((-6)\/(-4)) - -5. Suppose 2 = 2*h - r*j, -3*j - 12 = -4*h - 2. Find the second derivative of 0*q**4 + q - 2*q - 3*q**4 + h*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.60916*0.09.\nAnswer: 0.0548244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 + 2*f**2 + 3*f**2 - 6*f**2 - f**2 in the form h + u*f + x*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337028521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 214 - 219. Let c(t) = -t**3 - 7*t**2 - 6*t + 5. Give c(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535.66 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 808*f**3*i**2 - 92*f**3*w**3 + f**3 - 2*f**2*w**2 - 2*i**2*w**3 + i wrt i?\nAnswer: 1616*f**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 5*j = 7, 5*a - a + j = -2. Let m be 0\/2*a\/2. Suppose m = 3*d - 28 + 7. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35549, -4, 2065 in descending order.\nAnswer: 35549, 2065, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 213 - 206. Suppose 11 = h - 3*t, -f = -4*h + 3*h + t. Let u(q) = q**3 - 7*q**2 + 7*q - 6. Give u(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u + 2. Suppose -4*r = -3*r - 7. Let a be i(r). Let p be 1\/(-1*(-2)\/(-8)). Put -2, p, a in decreasing order.\nAnswer: -2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 900253 or 900278?\nAnswer: 900278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1827818 a multiple of 886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1506.4 from -26.7.\nAnswer: -1533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p - 8. Let c be x(-2). Suppose 3*o = r - 30009, -c*r - o = -5122 - 54875. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 15025122*o + 120201168.\nAnswer: -3*(o - 8)*(o + 5008382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 697 is divided by 101?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 10, 1\/3, 51\/7, -16, -24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52391*t + 52389*t - t**2 + 1 - 3*t**2 - 8*t**3 to o*t**3 + d*t**2 + c*t + l and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7291959 is divided by 32123?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -323608 = -182*r - 318512 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 0 + 0*a**2 + 0*a + 2\/13*a**3 + 2\/13*a**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.412 + -169.588. Let t = v - -171.38. Round t to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12960 = 1543*v + 175918 - 17605 for v.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-10))\/(-1)*90\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -63.1 + 63.0999924762. What is y rounded to seven dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.81 in -5\/6, -2, -3, 0.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 266 and 126?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/(11\/(-5) - -2). Suppose -163 = 5*u - 38. Let c = p + u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-24)*((-3)\/30 + (-368)\/(-80))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 8*q**2 - 11. Let m(f) = -f**2 + 1. Let v(w) = 2*g(w) + 22*m(w). Suppose 4*x + 604 = 4*r, 8*x = 6*x. Let i(h) = -r + 151 - 10*h. Give i(v(o)).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -44*y + 40. Determine i(5).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 8*g**2 + 7*g - 2. Determine j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1612 - -1612.01618. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -59ba?\nAnswer: 59b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20287255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 8:58 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -r**5\/30 + r**4\/6 - r**3\/3 - 4*r**2 + 4*r - 27. Let j(o) be the second derivative of x(o). Suppose j(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**4\/5 - 1699*p**3 - 12736*p**2\/5 + 8492*p\/5 = 0. What is p?\nAnswer: -4246, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/9 - (4\/(-12))\/(-1). Solve v + g = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - n + 1. Let a(w) = 6*w**3 - 2*w**2 - 2*w - 3. Let k(y) = a(y) - 2*t(y). Differentiate k(v) with respect to v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 900*g**3 - 396*g**2 wrt g?\nAnswer: 5400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -928 or 63.1125?\nAnswer: 63.1125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + (-5*2*(2 + (sqrt(1539) - (sqrt(1539) - (2*sqrt(1539) + sqrt(1539))))))**2 + -5 + -3).\nAnswer: 64800*sqrt(19) + 8312940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000031063974 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(1\/(-4 - 35)). Suppose -33*t = -l*t + 12. Solve f + t = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -69157339 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 2*l**2 + 4*l. Suppose 0 = 7*q - 2*q - 15. Let r be g(q). Suppose 0*p + 147 = r*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - d = 209998, 6*f + 3*d = f + 525006. What is f rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122376633 to the power of 1\/2, to the nearest integer?\nAnswer: 11062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 86950 rounded to the nearest one thousand?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1083*v + 563*v + 568*v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bsbgbbbbbbbbb.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-24)\/(-63))\/4*3. Let i = 91.9 - 86.89. Let k = 5 - i. Is z at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 2262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u - 35 + 89 - 26 - 23. Let j be l(-2). Is (-3)\/3 - j\/((-3)\/(-61)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82146 is divided by 41058.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1325, 3.\nAnswer: -1325, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 0*m - 4*t = 22, -4*m + 4*t + 36 = 0. Suppose 2*s + 4 = -2*r, -3*r + s - 4 = m. Put r, 100, 1 in descending order.\nAnswer: 100, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**3*p**6 + 110432*f**3*p**4 - f**3*p**2 - 2*f**3 - 307*f**2*p**2 - 842*f**2*p - 2*p**2 wrt p.\nAnswer: 240*f**3*p**3 + 2650368*f**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67 + 2 + -180 + 167 + (21 - -1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -10*n - 15. Let p(y) = 3*y + 5. Let c(x) = 2*o(x) + 7*p(x). Let r = 83 - 81. Let h(g) = 1. Let m(w) = r*c(w) - 11*h(w). Differentiate m(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11\/4  (b) -1  (c) 5  (d) 121787\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 32, 75, 156, 287, 480, 747, 1100?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 90 + -91.3. Is -0.2 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*v**4 - 119159*v**2 - 2*v - 1766941?\nAnswer: 12*v**3 - 238318*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.91 - -0.11. Let r = 6 + u. Let y = 42 + -42. Which is the second biggest value?  (a) r  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -10, -6, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_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 x(a) = -49*a - 184*a**2 + 250*a**2 - 60*a**2 + 3. Determine x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**5 + 25*x**4 + 8323*x**3 + 8243*x**2 - 16590*x = 0?\nAnswer: -79, -2, 0, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 13 = -3*b. Let w = 14 - -36. What is the lowest common multiple of w and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4266*f - 8333*f - 2392*f - 6179*f - 2129*f.\nAnswer: -14767*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 2\/17  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.5928*-2.\nAnswer: 37.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 271*c**2 + 277*c**2 - 826*c**2 + 271*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1053 - 4346 = 37*v. Let s = 86 + v. Which is the smallest value?  (a) s  (b) -11  (c) -1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3510 and 4220?\nAnswer: 1481220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (20 - (-1 - 3 - 2 - -8)) + -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/14 - 15\/(-2). Suppose -s - 1 = -2*b + d, 3*b + 2*s = -2. Suppose -b*c = -c - 53. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/1652056 and -5\/826028?\nAnswer: 1652056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*v**3 + 0*v**3 - 29*v**3 + 105*v**3.\nAnswer: 215*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15968 is divided by 1326.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-6) - ((-5920)\/12 - 4). Suppose 9*x - l = 996. Let j(m) = 166 + 4*m**2 - x. Let s(k) = k. Calculate j(s(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/3)*h*h\/(h*h*h*h**0*h)*h)\/(h**(-2\/21)\/h*h*(h\/(((h\/h**5)\/h)\/h))\/h) assuming h is positive.\nAnswer: h**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 48\/(-9)*-5*27\/90. Solve 5*k - 26 = -2*z, 4 = 3*k - w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3052*d**2*g + 20807*d**2*y + 4*d*g*y - 4116*d*g + d*y + g*y + 3*g wrt d.\nAnswer: -6104*g + 41614*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94 - 32 - 39*o**2 - 35 - 27.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -542 divided by 5\nAnswer: -542\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78954, 3, 1, -5, -4.\nAnswer: -5, -4, 1, 3, 78954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 2*z**4 - 23*z**3 + 2*z - 38*z**2 + 1 + 84*z**2 + 1 - 42*z**2 to the form o*z + h + t*z**3 + s*z**4 + g*z**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 31 = 3*o, 3*k - 8 = -o - o. Suppose 0 = -y + o + 2. Solve -4*h - 7 = y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 9 = -2*r. Let y = -6 - -36. Let j = -25 + y. What is the remainder when r is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 2*p + 2. Let t be z(0). Suppose 0 = 2*f - 10, 4*f = -t*x + f + 39. What is the highest common divisor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/12973?  (a) -2\/5  (b) 1\/7  (c) -23.1  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 624a (base 15) to base 16\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7570069, -7570102, -7570125, -7570132, -7570117, -7570074, -7569997?\n\"Answer: o**3 - o**2 - 37*o - 7570032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 37385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**7\/70 - 7*u**6\/60 - 31*u**5\/30 - u**3\/6 + 347*u**2. Find the third derivative of w(i) wrt i.\nAnswer: -72*i - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -30. Let z(p) be the first derivative of -p**2\/2 - 7094. Give -i(t) - 2*z(t).\nAnswer: 2*t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -0.3  (c) -2  (d) -22790\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 76 and 21319686?\nAnswer: 810148068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 24311230 (base 5) to base 2\nAnswer: 110111111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 7*c + 4. Let k be (0 + (-12)\/(-14))*(0 - -7). Let x(l) = -13*l - 7. Suppose -14 = -4*v + 30. What is k*x(r) + v*u(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1732409 and 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiion. Give prob of sequence oini.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 62 - 58. Solve 12 = -0*t - n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*o**4 - 89*o**4 - 2244*o - 1280 + 233*o**4 - 1744*o**2 - 700*o - 80*o**4 - 320*o**3 = 0.\nAnswer: -20, -4, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 102*n**3 + 2657*n**2 + 130*n + 52. What is y(-26)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*v - 6, -12 = -3*r + r + 3*v. Solve -5*x + r*w = w + 11, 4*x + 5*w = -22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35887 + 687. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-168)\/3 - (1892 + -1870).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 26\/7 - (-4)\/14. Suppose s - 70 = -n*i + 2*s, -2*i + 5*s + 44 = 0. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 8 + 0*s + 0*s**5 - s**3 + 0*s**4 + 0*s**2 - 5\/7*s**7 + 0*s**6. What is the third derivative of t(d) wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**2 - 244945*y - 130812300.\nAnswer: -5*(y + 540)*(y + 48449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*c - 17, 0*i - c = i - 7. Factor 0 + 2\/3*j**3 + 0*j - 2\/3*j**i.\nAnswer: 2*j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1848764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-24))\/(2\/12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5525 - -6123. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - -24)\/((-2)\/(-3)). Find the third derivative of -15*o**2 - 74*o**5 + 4*o + h*o**5 - 4*o wrt o.\nAnswer: -1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -9*d**2 + 33*d. Let g(o) = -o - 14. What is u(g(m))?\nAnswer: -9*m**2 - 285*m - 2226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 160 - 125. What is the remainder when c is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - o - 1. Let p(g) = 4*g**2 - 5*g - 7. Let y be (-12)\/4*8\/(-6). Let c = 8 - 3. Suppose 2*d = c*u + 23, 0*d - d + u = -y. What is d*p(x) + 5*r(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 10:35 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1044 is divided by -1 - ((-27300)\/(-7))\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24306 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 2003*q - 1179359. Give c(416).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21.28 + 0.28. Let q = 20.1 + m. Round q to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 5:29 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of j**5\/10 + 7*j**4\/3 + 5*j**3\/3 + 31*j**2\/2 + 140*j. List the prime factors of a(-11).\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Calculate the remainder when 110 is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 + 981 = 6*j. What is the highest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.613 - -23.927. Let i = -15 + 39. Let m = c - i. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of -i**4\/12 + i**2. Let q(v) = 21*v - 4*v - 2*v. Calculate q(u(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 a factor of 285815640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l + 0*l - 4*l)*(2*l**2 + l**2 - 4*l**2) + l**2 - l**2 + 3*l**3 - 3*l - 3*l**3 + 3*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2013 + 4331*q**2 - 5 + 1880 wrt q?\nAnswer: 8662*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6*(-180)\/(-4)*(-40)\/60?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 + -37. Let u(i) = i**2 + 10*i - 16. Let z be u(t). Let x(o) = 2*o**2 + 7*o + 5. What is the tens digit of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*a**2 - 18*a**2 + 14*a**5 - 2*a**2 wrt a?\nAnswer: 840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2)*(j**3 - 2*j + 2*j) + j**2 - 9*j**3 + 2*j**2 - 4*j**2 + (4*j**3 + j**3 + 28*j**3)*(3 + 2 - 3) to u*j + q + p*j**2 + f*j**3 and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**5 - 14 + 14 + (119*v - 12*v**4 - 119*v)*(-3 + 3 + 2*v).\nAnswer: -27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -3, 13\/7, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-718 + 353 + s + 353)*(-s - 8*s - 2*s) to g*s**2 + m + l*s and give l.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (15\/(-10))\/(-3)*1*-2. Let p be ((-3 - -1)\/2*2)\/d. Suppose -h + 23 = 4*u, 4*u - 46 = -p*h + u. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 7*l**2 + 2*l - 14. Let s be i(-6). Suppose 3*u = 23 + s. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 23 - 143. What is the smallest common multiple of 18 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3 = -78. Calculate the remainder when 97 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and 2.2.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 14. Let q be f(9). Find the second derivative of 5*p**4 - q*p**4 - 6*p + 2*p**4 - 4*p**4 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) -0.1  (c) 2  (d) -2\/551\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10723 times 49087\nAnswer: -526359901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i. Suppose -19 - 11 = -10*n. Calculate f(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117471449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39337155 divided by 2622477.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 174 = 3*h, 2*q - 4*h - 130 = h. Suppose -y + 6*y - q = 0. Suppose -20 = -4*a + y. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*x - x + x, -13*x + 18*x = 8*l + 113 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 1:53 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*f + 1486 - 494 - 512 - 499 - 2*f - f**2 in the form j*f**2 + r*f + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 10 + 4)*(1 + f - 1)*(0 - 2 - 1) in the form s + r*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = -3*z - 187. Let p = -56 - z. Let w = p + -30. Solve -4*x + 4*t - w = 0, t = -3*x - 27 + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1140922*2\/28*-7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24574392 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -258.5744 - -0.1744. Let j = -258 - u. Let q = -0.1 - 0. Which is the nearest to -0.2?  (a) j  (b) 10  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1240 and 1873144?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172028130.\nAnswer: 2, 3, 5, 5734271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*x - 2*x. Suppose -h + 5 = -6*h, 11 = 3*j + x*h. Let d = -4 + j. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -359701 - -359748.0027. Let x = i - 47. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -2, -2\/155, -3, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 + -0.8. Let d = 0 - j. Let t be 3 + ((-6)\/(-96) - 10593\/3344). Is t at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*g**2*m**2*x - g**2*m*x + 71*g**2 + 1162*g*m**2*x + g*x + 42*m*x - 2*m wrt m?\nAnswer: 16*g**2*x + 2324*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 33*s**2 + 114*s - 120.\nAnswer: 3*(s - 5)*(s - 4)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26328 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11826920912 from 218.\nAnswer: -11826920694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 divided by -4?\nAnswer: -367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 155?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -31 + 9 + 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -3, -0.332443, 2\/11, -2?\nAnswer: -0.332443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -8*n. Let s(c) = 20*c + 3 - 21*c - 3. Give s(a(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)*2*-5 - (sqrt(204) - ((sqrt(204) - (1*3*sqrt(204) - sqrt(204))) + sqrt(204))))\/((sqrt(60) - 2*sqrt(120)\/sqrt(2))\/(sqrt(320)*1 + sqrt(5))).\nAnswer: 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 7:12 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 680*c + 3696 = 4144 + 7032 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**3 + 12 + x**4 - 4 - 4 - x**2 - 5 to the form a*x**2 + k*x**4 + w*x + n + r*x**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 9*t + 11. Let i(n) = -3*n - 6. Let q(k) = -6*k - 13. Let r(m) = 7*i(m) - 3*q(m). Let s be r(2). Give d(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004322 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -303 times -3\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 43, 89, 135?\n\"Answer: 46*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m - 25. Let f(h) = 10*h**2 - 17*h + 21. Let r be f(3). Suppose -73*o - 195 = -r*o. Determine l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xmjhuuml. What is prob of picking 1 x, 1 l, and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1194 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 2*t - 45, -4*t + 30 = -5*p + 75. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 - -0.3. Let m = 129\/161 + -25\/23. What is the second biggest value in -2, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 4*f**4 - 181*f**5 - 2 - 8*f**3 + 193*f**5.\nAnswer: 4*f**3*(f - 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m - 12. Let k be j(9). Suppose 5*d + 9 + k = 0. Let o = 6 + d. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -132 + 156. Which is smaller: 23 or s?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n**2. Let d = -13 - -17. Let h(u) = d + 6*u - 4 - 27*u. Calculate k(h(c)).\nAnswer: -2646*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 262180614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmwn when four letters picked without replacement from {j: 1, w: 2, m: 1, l: 1, d: 1, n: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -108 + 105 + (-2 + 14 - (0 - 1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 413 - 413 + 33344*l**3 - 33339*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 190021872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6248 + 10278. Suppose -4*a - 1222 + u = 0. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7726785 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) -7  (c) -3  (d) -0.01  (e) -0.05  (f) 1530  (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.469 - -0.369. Suppose 5*q + 5*x = -10, x + 1 = -0*q - 2*q. Which is the nearest to t?  (a) 3  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -9515?\nAnswer: -12\/9515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -399 + 398.9907. Let x = -2.0093 - v. What is the fourth biggest value in 2\/15, 1\/7, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*m - 73 + 2*m + m in the form g*m + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**5\/17 - 92685246*b**4\/17 - 370740962*b**3\/17 - 463426194*b**2\/17 - 185370476*b\/17 = 0 for b.\nAnswer: -46342619, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 1379804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1118414068 and -0.2.\nAnswer: -1118414068.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 304 and 1100404?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*g**6 - 2*g**5 + 3724*g**3 - 2*g**2 + 33*g - 96.\nAnswer: 720*g**3 - 120*g**2 + 22344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90498, 90500, 90518, 90552?\nAnswer: 90602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 189*x - 9*x + 41*x in the form d*x + o and give d.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**5 - 120*o**4 + 3353*o**3 + 14758*o**2 + 18972*o + 7688.\nAnswer: (o - 62)**2*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1084 divide 2354448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -14898 plus 7?\nAnswer: -14891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1383 divide 524848500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 15 - 85 = 0. Suppose 2*m - w = -3*m. Suppose -5*j = -70 + m. Calculate the remainder when 18 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {n: 2, h: 5, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 86*f - 86*f + 10*f**3 + (3*f**2 - 6*f**2 + 2*f**2)*((4 + 3 - 5)*(2 - f - 2) + 0*f - 8*f + f) + (4*f**2 - 3*f**2 + f**2)*(f + 0*f - 3*f).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0017374495 rounded to 5 decimal places?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.23 - 0.23. Let u = m + -6.4. Let h = -5.02 + 0.02. Sort u, h, -3 in descending order.\nAnswer: u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -6*s**2 + 24*s - 19. Let b(g) = 3*g**2 - 12*g + 9. Let l(i) = 5*b(i) + 3*h(i). Factor l(m).\nAnswer: -3*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 400.644 millilitres?\nAnswer: 0.400644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -298.3272 times -0.09?\nAnswer: 26.849448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 5)*((-j**4 + 0*j**3 + 0*j**3)*(j + 2*j + 5*j) - j**5 - j**2 + j**2).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2692658 centuries?\nAnswer: 0.02692658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -5168 and 327 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -116578 (base 12) to base 13\nAnswer: -9aa30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-2\/23)*r)\/(((((r\/r**(1\/2))\/r)\/r)\/r)\/r))\/(r*r*r**1*r)**(-1\/28))\/(r**3*r**(-2\/5)*(r*r**(4\/3)\/r*r*r)\/(r\/r**(1\/7))) assuming r is positive.\nAnswer: r**(451\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 + -80. Let v = b + 146. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 36 in 1\/8, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 28*n**2 - 73*n + 50. Give p(25).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43\/430)\/((-15)\/12).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10303 (base 4) to base 2\nAnswer: 100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 6 = 4*q, 3*q - y + 3 = -8. Let k be q\/(6\/4) - -1. Let u be ((-4)\/(-24))\/(k\/(-3)). Which is the closest to -1?  (a) -3\/4  (b) u  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cctt when four letters picked without replacement from {t: 3, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1029?  (a) -1\/2  (b) -35  (c) -4\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -797.954 - -799. Let a = 0.046 - x. What is the nearest to 3 in 0.3, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 3 - 9 = 0. Solve -c*p - 6 = 0, -3*p = -r - 8*p - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 497928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 24*x**2 - 113*x - 16. Determine v(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -7*j**3 + 52*j**2 - 11*j + 20. Calculate h(4).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7803.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(9\/6)*-36. Let n be (1 + 32)\/(18\/a). Suppose -3*x + n = x. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3656 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: Let b = -41 - -37. Let u be 5070918\/18 + b\/6. Let x = u + -74717. Round x to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 6*m - 152. What is the highest common factor of m and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122101100102202 (base 3) in base 10?\nAnswer: -9238205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -688, -682, -672, -658, -640?\n\"Answer: 2*o**2 - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 4:26 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t**2 - 3*t**2 - t**2)*(9*t - 9*t - 11*t**2)*(142*t + 262*t + 188*t).\nAnswer: -13024*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 10*v - 18 = -2*d, 2*v - d - 9 = 0. Suppose 0 = o + 2*a + v, 2*a + 15 = -3*a. Sort 5, 8, o, 3 in decreasing order.\nAnswer: 8, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 63385520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 70*r + 333. Let w be h(-5). Which is the third biggest value?  (a) 4.1  (b) -4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13989 or 1?\nAnswer: -13989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -5*z, -k + 60 = 8*k + 9*k + 2*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.05 - -8.55. Let i = -8 + c. What is i rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0297968655 + -0.13.\nAnswer: -0.1002031345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 4*f - 6. Let w(x) = -4*x + 12. Let q be w(2). Suppose -18 = -q*a + z, -5*a = 2*z - z - f. Calculate the remainder when 9 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/30*-5*2*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*r = 5*r + 15, -g + 15 = 5*r. What is the tens digit of 75\/7 + g\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}